10.Un móvil recorre 26 m en el tercer segundo de su movimiento. Determinar la velocidad inicial del móvil, si su aceleración es de 8 m/s. AYUDA POR FAVOR
Answer: La velocidad inicial es 6m/s
Explanation:
Primero escribamos las ecuaciones de movimiento:
Sabemos que la aceleración es 8m/s^2.
a(t) = 8m/s^2.
Para obtener la velocidad, tenemos que integrar sobre el tiempo:
v(t) = (8m/s^2)*t + v0
donde v0 es la velocidad inicial.
Para la posición volvemos a integrar sobre el tiempo, y tenemos:
p(t) = (1/2)*(8m/s^2)*t^2 + v0*t + p0 = (4m/s^2)*t^2 + v0*t + p0
Donde p0 es la posición inicial.
Nosotros sabemos que en el tercer segundo, el móvil recorre 26m
Esto significa que:
p(3s) - p(2s) = 26m = (4m/s^2)(3s^2 - 2s^2) + v0(3s - 2s) + p0 - p0
26m = (4m/s^2)*5s^2 + v0*1s
De aquí podemos despejar el valor de v0:
26m = 20m + v0*1s
6m = v0*1s
v0 = 6m/s
Select the correct answer. Which of these four atoms has the most neutrons?
A. A
B. B
C. C
D. D
D. 36 in Kr
Let's analyze all the elements in Option
A. Se, Selenium is an element of the Oxygen family which have a mass of 78.96 with 34 electrons.B. Br, Bromine is an element a Halogen which a mass of 79.9 with electrons 35.C. Ge, Germanium a semiconductor that has a mass of 72.64 and 32 electrons.D. Kr, Krypton, is an inert gas that has a mass of 83.79 and 36 electrons.By looking at all the given options we can clearly see that Krypton has the highest number of electrons as compared to the given options so It is the answer. Also with the highest mass, in the given four options.
It can be easily seen in options as the Number of electrons and mass is already written in options.
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You travel in a boat whose relative speed of water is 61 m / s. The boat is pointed at an angle of 25 upstream over a river flowing at 14 m / s 2 What is the speed and direction of travel relative to the ground?
the speed of travel relative to the ground is 72.93 m/s and the direction of travel relative to the ground is 21.62 degrees upstream from the horizontal.
To solve this problem, we can use vector addition. We can break down the velocities into their components and then add them up to find the resulting velocity relative to the ground.
Let's define the following variables:
- v_b: velocity of the boat relative to the water
- v_w: velocity of the water relative to the ground
- v_bg: velocity of the boat relative to the ground
- theta: angle between the direction of the boat and the direction of the water flow
We know that the magnitude of v_b is 61 m/s and the magnitude of v_w is 14 m/s. We also know that the angle between v_b and the direction of the water flow is 25 degrees upstream.
Using trigonometry, we can find the components of v_b:
- v_bx = v_b * cos(theta) = 61 * cos(25) = 54.92 m/s
- v_by = v_b * sin(theta) = 61 * sin(25) = 26.16 m/s
The x-component of v_w is equal to its magnitude, since it is flowing directly to the right:
- v_wx = v_w = 14 m/s
The y-component of v_w is zero, since it is flowing directly to the right and there is no vertical component.
Now we can add the x-components and y-components separately to get the resulting velocity relative to the ground:
- v_bgx = v_bx + v_wx = 54.92 + 14 = 68.92 m/s
- v_bgy = v_by = 26.16 m/s
To find the magnitude and direction of v_bg, we can use the Pythagorean theorem and trigonometry:
- v_bg = sqrt(v_bgx^2 + v_bgy^2) = sqrt((68.92)^2 + (26.16)^2) = 72.93 m/s (rounded to two decimal places)
- theta_bg = atan(v_bgy / v_bgx) = atan(26.16 / 68.92) = 21.62 degrees (rounded to two decimal places)
Therefore, the speed of travel relative to the ground is 72.93 m/s and the direction of travel relative to the ground is 21.62 degrees upstream from the horizontal.
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Write the step-by-step procedure Lewis Electron Dots structure. You may use the blank space provided below.
1. Li
2. Be
3. B
4. N
5. O
6. Ne
7. H
You have to know the group of the atom in the periodic table and the number of the valence electrons present in it.
How do you write the step-by-step procedure Lewis Electron Dots structure?Determine the atom's periodic table group number. The group number is related to the atom's valence electron count. Draw the element's symbol to show the nucleus and inner electrons.
In order to depict the valence electrons, place dots all around the symbol. One valence electron is represented by each dot. To begin, place one dot on each side of the sign. After that, pair the remaining electrons and place one on each side of the symbol until all of them have been used. Verify if the atom has reached an octet.
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conduction is the movement of heat energy because of
Answer:
when a substance is heated, particles will gain more energy, and vibrate more.
Explanation:
Pls brainly I did my studys today! :D
What is the net force on a 1000N barrel falling in air with an air drag of 400N?
The net force on the 1000 N barrel falling in air with an air drag of 400 N is 600 N
How do I determine the net force?Net force is given by the following formula:
Net force = force of pull - opposite force
The following data were obtained from the question:
Weight of barrel = 1000 NForce of resistance = 400 NNet force =?The net force on the 1000 N barrel falling in air can be obtained as illustrated below:
Net force = Weight of barrel - Force of resistance
Net force = 1000 - 400
Net force = 600 N
Thus, the net force on 1000 N barrel is 600 N
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3N 8N net force???
PLEASE HELP !!!
Answer:
First tell what are the directions and what we've to do?? add subtract or multiply??
What is the phase of water when its temperature is 150 °C?
How long does it take the moon to go through an entire set of phases?.
It take approximately 29.5 days for moon to do its entire set of phases.
ExplanationThe Moon is the only natural satellite of the Earth which undergoes three motions, that is :
Rotating on its own axisEvolving around the EarthTogether with the Earth evolving around the sun as the center of the solar systemWith that, the moon has two periods of revolution, namely:
Sidereal revolution, which is the original revolution of the Moon. This sidereal revolution is really the time it takes the Moon to orbit the Earth. The sidereal revolution of the moon has a time span of 27.3 days or more accurate is approximately 27 days, 7.72 hours.Synodic revolution, namely the revolution of the Moon as seen from Earth as a series of moon phases (from the new moon phase, to the next new moon phase). The synodic revolution is slower, because the Moon needs to catch up with the Earth rotating in the same direction as the Moon. The synodic revolution of the moon has a time span of 29.5 days or to be more accurate approx 29 days, 12.734 hours.An object was thrown straight up to land on a platform of 3.2 m high. What isthe least initial velocity needed from the ground level to do this? (using g9.81 ms 2).
ANSWER
7.95 m/s
EXPLANATION
The least initial velocity is the one for which when the object reaches the height of the platform its velocity is zero. From the velocity equation we have,
\(v=v_o-gt\)If v = 0,
\(v_o=gt\)To find the velocity we have to find the time. From the displacement equation,
\(y=v_ot-\frac{1}{2}gt^2\)Replace v0 by the expression above,
\(\begin{gathered} y=gt^2-\frac{1}{2}gt^2 \\ y=\frac{1}{2}gt^2 \end{gathered}\)We know that the height of the platform is 3.2m. Solving this equation for t,
\(t=\sqrt[]{\frac{2y}{g}}=\sqrt[]{\frac{2\cdot3.2m}{9.81m/s^2}}\approx0.81s\)If the object is in the air for 0.81 seconds before reaching the platform, its initial velocity is,
\(v_o=gt=9.81m/s^2\cdot0.81s=7.95m/s\)The least initial velocity needed from ground level for the object to reach the platform is 7.95 m/s
A pontoon boat travels across a lake in a straight line and increases in speed uniformly from vi = 18.5 m/s to vf = 36.0 m/s in a displacement Δx of 250 m. We wish to find the time interval required for the boat to move through this displacement. g
(a) Draw a coordinate system for this situation.
(b) What
analysis model is most appropriate for describing this situation?
(c) From the analysis model, what equation is most
appropriate for finding the acceleration of the speedboat?
(d) Solve the equation selected in part (c) symbolically for
the boat’s acceleration in terms of vi , vf , and ?x. (e) Substitute
numerical values to obtain the acceleration numerically.
(f) Find the time interval mentioned above.
Answer:
Explanation:
a ) The motion is one dimensional , so motion is along x - axis , starting from origin ( 0 , 0 )
b ) Initial velocity is 18.5 m /s when boat is situated at origin . When he displaces by 250 m along x axis and his position is ( 250 , 0 ) along x axis , his velocity becomes 36 m /s . Both his velocity and acceleration is along x - axis.
c ) Initial velocity vi = 18.5 m /s
final velocity vf = 36 m/s
Displacement x = 250 m
Acceleration a = ?
Most appropriate formula is given below .
vf² = vi² + 2 a x
2ax = vf² - vi²
x = ( vf² - vi² ) / 2 a
d )
Putting the given values
36² - 18.5² / 2 x 250
= 1296 - 342.25 / 500
= 1.9 m /s².
f ) Time interval t = ?
Required formula
vf = vi + at
t = (vf - vi ) / a
Putting the values
t = (30 - 18.5) / 1.9
= 6.05 second .
what are some other problems caused by the use of hydropower select all that apply
a. Often hydropower plants are located in remote areas and the power generated must be transported long distances to the population center
b. hydropower is only a problem if used in desert regions that experience flash flooding
c. hydropower is a clean alternative to the use of fossil fuels so it is not considered problematic in any way
d. building dams and reservoirs to create hydropower interrupts natural flow of steam and alters watershed areas causing environmental damage
The problems caused by the use of hydropower are:
a. Often hydropower plants are located in remote areas and the power generated must be transported long distances to the population center.
d. Building dams and reservoirs to create hydropower interrupts the natural flow of streams and alters watershed areas, causing environmental damage.
Solution:
a. Hydropower plants are often situated in remote areas where water resources are abundant. While this allows for efficient power generation, the electricity produced needs to be transmitted over long distances to reach population centers, which can result in transmission losses and the need for extensive transmission infrastructure.
b. The statement that hydropower is only a problem if used in desert regions that experience flash flooding is incorrect. Flash flooding in desert regions can be one concern for hydropower installations, but it is not the only problem associated with hydropower use.
c. Hydropower is generally considered a clean alternative to fossil fuels, as it produces electricity without direct emissions of greenhouse gases. However, this statement is incorrect in the context of identifying other problems caused by hydropower use.
d. Building dams and reservoirs for hydropower alters natural stream flow, disrupts ecosystems, and affects the surrounding watershed areas. This can lead to the loss of habitats, changes in water quality, sedimentation, and impacts on aquatic species and downstream ecosystems.
The problems associated with hydropower use include the long-distance transmission of electricity from remote areas and the environmental damage caused by altering natural stream flow through the construction of dams and reservoirs.
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Which of the following is the name for a substance made of two or more types of atoms that are not chemically bonded together?
Answer: A mixture
Explanation:
A mixture is where 2 or more substances are physically combined, and where you can know what each substance is
Answer: Mixture
Mixture is made up of two or more different substances, which are mixed but not combined chemically.
Explanation:
Hope this helps =)
A series RLC circuit has a resistance of 20 , a capacitance of 10-2 F, an inductance of 10 H and an applied voltage E(t) = 200 cos 5t Volts. Assuming no initial current and charge when voltage is first applied, find the subsequent current in the system.
The subsequent current in the series RLC circuit is given by the equation: i(t) = I * cos(5t - Φ), where I is the amplitude of the current and Φ is the phase angle.
To find the subsequent current, we need to calculate the amplitude (I) and the phase angle (Φ) of the current.
First, let's calculate the resonant frequency (ω) of the circuit:
ω = 1 / √(LC) = 1 / √(10 * 10^(-2)) = 1 / √1 = 1 rad/s.
The applied voltage can be written as E(t) = E * cos(ωt), where E is the amplitude of the voltage.
Comparing this with the given voltage E(t) = 200 * cos(5t), we can equate the angular frequencies: ω = 5.
Now, let's find the impedance (Z) of the circuit:
Z = √(R^2 + (Xl - Xc)^2),
where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.
R = 20 Ω
Xl = ωL = 1 * 10 = 10 Ω
Xc = 1 / (ωC) = 1 / (5 * 10^(-2)) = 20 Ω
Plugging in these values, we get:
Z = √(20^2 + (10 - 20)^2) = √(400 + 100) = √500 ≈ 22.36 Ω.
The amplitude of the current (I) can be calculated using Ohm's Law:
I = E / Z = 200 / 22.36 ≈ 8.94 A.
The phase angle (Φ) can be found using the relationship between resistance, inductive reactance, and capacitive reactance:
tan(Φ) = (Xl - Xc) / R = (10 - 20) / 20 = -0.5.
Therefore, Φ ≈ -0.464 rad.
The subsequent current in the series RLC circuit is given by i(t) = 8.94 * cos(5t + 0.464) A.
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A 50.5-turn circular coil of radius 4.75 cm can be oriented in any direction in a uniform magnetic field having a magnitude of 0.455 T. If the coil carries a current of 22.5 mA, find the magnitude of the maximum possible torque exerted on the coil.
Answer:
The maximum torque, τ = 3.67 × 10⁻³ Nm
Explanation:
The torque τ = NiABsinθ where N = number of turns of circular coil = 50.5, i = current in circular coil = 22.5 mA = 0.0225 A, A = area of circular coil = πr² where r = radius of circular coil = 4.75 cm = 0.0475 m, B = magnetic field strength = 0.455 T and θ = 90° for maximum torque.
So, τ = NiABsinθ
τ = Niπr²Bsinθ
τ = 50.5 × 0.0225 A × π × (0.0475 m)² × 0.455 T × sin90°
τ = 0.003665 Nm
τ = 3.665 × 10⁻³ Nm
τ ≅ 3.67 × 10⁻³ Nm
So the maximum torque, τ = 3.67 × 10⁻³ Nm
During a biology lab, students use a small knife called a scalpel to examine a large cricket. One student is accidentally cut by the scalpel. Which steps must be taken to ensure this student's safety? quickly yelling to the lab instructor putting on gloves before treating the cut using disinfectant on the cut applying a bandage immediately calmly telling the lab instructor washing hands after treating the cut
Answer:
Take the following steps
putting on gloves before treating the cut
using disinfectant on the cut
calmly telling the lab instructor
washing hands after treating the cut scalpel safety rules scalpel
use in lab how to use a scalpel safely how to use a scalpel correctly handling sharp objects sharp instrument safety sharp object safety rules safe handling and disposal of sharps policy
Report inappropriate predictions
What is the minimum energy required to ionize
a hydrogen atom in the n = 3 state?
(1) 0. 00 eV (3) 1. 51 eV
(2) 0. 66 eV (4) 12. 09 eV
The minimum energy required to ionize a hydrogen atom in the n = 3 state is 12.09 eV.
What is hydrogen atom? A hydrogen atom is an atom of the chemical element hydrogen. It is made up of one proton and one electron, making it the simplest and most abundant element in the universe. In a hydrogen atom, the electron is bound to the proton by an electromagnetic force.The Rydberg formula is used to compute the energy required to ionize a hydrogen atom in the nth energy level. An ionization process occurs when an electron is removed from the outermost shell of an atom. The Rydberg formula is:
1/wavelength = R\((1/n1^2 - 1/n2^2)\) Where n1 and n2 are the initial and final energy levels, respectively.
R is the Rydberg constant, which is equal to
\(1.097 x 10^7 m^-1.\)
If we substitute the values given in the problem into the Rydberg formula, we can solve for the minimum energy required to ionize a hydrogen atom in the
n = 3 state:1/wavelength = R\((1/n1^2 - 1/n2^2)1/0 - 1/9 = 1.097 x 10^7 m^-1(1/9 - 1/4)\)Solving for the wavelength,
we get: wavelength = 972.5 nm The minimum energy required to ionize a hydrogen atom in the n = 3 state can now be determined by using the energy equation:
E = hc/wavelength E = \((6.626 x 10^-34 J s)(2.998 x 10^8 m/s)/(972.5 x 10^-9 m)E = 2.044 x 10^-18\)
JConverting Joules to electron volts (eV), we get:
\(E = 2.044 x 10^-18 J/(1.602 x 10^-19 J/eV)E = 12.09 eV\)
Therefore, the minimum energy required to ionize a hydrogen atom in the n = 3 state is 12.09 eV.
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a boy whose mass is 40kg runs up a flight of 30 step each 150 mm in 60 second find the averse power develop expansion explain the anomalous of two of water
The average power developed by the boy during the climb is approximately 29.4 W.
What is power?In physics, the amount of energy transferred or converted per unit time is called power.
total height = number of steps x height of each step
total height = 30 x 0.15 m = 4.5 m
Given, time = 60 s
As power = work done / time
work done = force x distance
force = mass x gravity
mass is boy's mass (40 kg) and gravity is acceleration due to gravity (9.81 m/s²).
force = 40 kg x 9.81 m/s² = 392.4 N
The distance that the boy moves is equal to the total height that he has climbed: distance = total height = 4.5 m
work done = force x distance
work done = 392.4 N x 4.5 m = 1765.8 J
power = work done / time
power = 1765.8 J / 60 s
power ≈ 29.4 W
Therefore, the average power developed by the boy during the climb is approximately 29.4 W.
As for the anomalous behavior of water, water has a higher boiling point and melting point as compared to other substances with similar molecular weight. This is due to the strong hydrogen bonding between water molecules, which requires more energy to break the bonds and change the state of water from solid to liquid to gas.
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the outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater tan 38 mm. true or false
The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm is true. A vibration sensor is a system that is used to identify the condition of machinery and prevent it from being harmed. It keeps track of vibrations in the machinery and sends an alert if it exceeds a set threshold.
A sensor that detects vibrations in the environment or within a physical structure is known as a vibration sensor. Vibration sensors are commonly utilized in the maintenance of rotating equipment like pumps, motors, and other machinery to predict failure before it happens.
Based on the vibration being observed, these sensors may detect a range of defects, from unbalance and misalignment to bearing wear and looseness.
The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm. Hence, the given statement is true. This size range is important for the sensor to be able to pick up on the machinery's small vibrations and changes.
Anything smaller than 19 mm will not detect vibrations with the same precision, and anything larger than 38 mm will be more difficult to install in tight locations.
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In the highly relativistic limit such that the total energy E of an electron is much greater than the electron’s rest mass energy (E > mc²), E – pc = ħko, where k = ✓k+ k3 + k2. Determine the Fermi energy for a system for which essentially all the N electrons may be assumed to be highly relativistic. Show that (up 1 overall multiplicative constant) the Fermi energy is roughly Es ~ hc (W) TOUHUUUU where N/V is the density of electrons. What is the multiplicative constant? Note: Take the allowed values of kx, ky, and k, to be the same for the relativistic fermion gas, say in a cubic box, as for the nonrelativistic gas. (6) Calculate the zero-point pressure for the relativistic fermion gas. Compare the dependence on density for the nonrelativistic and highly relativistic approximations. Explain which gas is "stiffer," that is, more difficult to compress? Recall that d Etotal P = - total de dv
The Fermi energy for a system of highly relativistic electrons is Es ~ hc (N/V)^(1/3), where N/V is the density of electrons. The multiplicative constant is dependent on the specific units used for h and c.
To derive this result, we start with the given equation E - pc = ħko and use the relativistic energy-momentum relation E^2 = (pc)^2 + (mc^2)^2. Simplifying, we obtain E = (p^2c^2 + m^2c^4)^0.5.
Then, we assume that all N electrons have energy E ≈ pc, since they are highly relativistic. Using the density of states in a cubic box, we integrate to find the total number of electrons and solve for the Fermi energy.
For the zero-point pressure, we use the thermodynamic relation dE = -PdV and the density of states to integrate over all momenta. The result depends on the dimensionality of the system and the degree of relativistic motion.
In general, the zero-point pressure for a highly relativistic fermion gas is larger than that of a nonrelativistic gas at the same density, making it "stiffer" and more difficult to compress.
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The Fermi energy for a system of highly relativistic electrons is Es ~ hc(W)(N/V\()^(1/3)\), where the multiplicative constant depends on the specific units chosen.
How to find the Fermi energy in highly relativistic systems?The given relation, E - pc = ħko, is known as the relativistic dispersion relation for a free particle, where E is the total energy, p is the momentum, c is the speed of light, ħ is the reduced Planck constant, and k is the wave vector. For a system of N highly relativistic electrons, the Fermi energy is the energy of the highest occupied state at zero temperature, which can be calculated by setting the momentum equal to the Fermi momentum, i.e., p = pf. Using the dispersion relation, we get E = ħck, and substituting p = pf = ħkf, we get ħcf = ħckf + ħ\(k^3\)/2. Therefore, the Fermi energy, Ef = ħcf/kf = ħckf(1 + \(k^2\)/2k\(f^2\)), where kf = (3π²N/V\()^(1/3)\) is the Fermi momentum, and N/V is the electron density.
The multiplicative constant in the expression for the Fermi energy, Es ~ hc(W), depends on the specific units chosen for h and c, as well as the choice of whether to use the speed of light or the Fermi velocity as the characteristic velocity scale. For example, if we use SI units and take c = 1, h = 2π, and the Fermi velocity vF = c/√(1 + (mc²/Ef)²), we get Es ≈ 0.525 m\(c^2\)(N/V\()^(1/3)\).
To calculate the zero-point pressure for a relativistic fermion gas, we can use the thermodynamic relation, dE = TdS - PdV, where E is the total energy, S is the entropy, T is the temperature, P is the pressure, and V is the volume. At zero temperature, the entropy is zero, and dE = - PdV, so the zero-point pressure is given by P = - (∂E/∂V)N,T. For a non-relativistic gas, the energy is proportional to (N/V\()^(5/3)\)), so the pressure is proportional to (N/V\()^(5/3)\), while for a relativistic gas, the energy is proportional to (N/V\()^(4/3)\), so the pressure is proportional to (N/V\()^(4/3)\). Thus, the relativistic gas is "stiffer" than the non-relativistic gas, as it requires a higher pressure to compress it to a smaller volume.
In summary, we have shown that the Fermi energy for a system of highly relativistic electrons is given by Es ~ hc(W)(N/V\()^(1/3)\), where the multiplicative constant depends on the specific units chosen. We have also calculated the zero-point pressure for the relativistic fermion gas and compared it with the non-relativistic case, showing that the relativistic gas is "stiffer" than the non-relativistic gas.
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Three resistors of 100 W, 3900 W, and 1000 W are connected in series across a 200-V battery. What is the voltage drop across the resistor of value 1000 W?
Answer:
40 V
Explanation:
I will assume that the resistors are
100 and 3900 and 1000 OHMS <=====(NOT W)
In series , the resistances add together 100 + 3900 + 1000 = 5000 ohms total
V = IR
I = V / R so the total current will be 200 v / 5000 ohms = .04 amps
this is the current through all of the resistors
so for the 1000 ohm resistor V = IR .04 (1000) = 40 V
If air resistance is negligible, a falling object can be considered
Answer:
Explanation:
freely falling object
In a hurry, you ask your friend to throw your laptop to you from 8 m away. Your friend throws you the laptop and you catch it at the same height from which it was thrown a mere 0.4 seconds later.
(a) At what angle did the laptop leave your friend’s hand?
(b) With what speed did the laptop leave your friend’s hand?
(c) What is the highest (above the starting point) that the laptop gets?
(a) The laptop left your friend's hand at an angle of approximately 45 degrees.
(b) The laptop left your friend's hand with a speed of approximately 7.85 m/s.
(c) The highest point reached by the laptop is approximately 1.23 meters above the starting point.
To determine the answers, we can use the principles of projectile motion. The key variables we need are the initial velocity (speed) and launch angle. The time of flight can also be calculated, which helps us find the highest point reached by the laptop.
(a) To find the angle, we can use the fact that the horizontal distance and time of flight are related. The horizontal distance traveled by the laptop is 8 meters, and the time of flight is 0.4 seconds. The equation for horizontal distance is given by:
Horizontal distance = Initial velocity * cos(angle) * time
Substituting the known values, we have:
8 = Initial velocity * cos(angle) * 0.4
Solving for the angle, we get:
cos(angle) = 8 / (Initial velocity * 0.4)
Taking the inverse cosine (arccos) of both sides, we find:
angle = arccos(8 / (Initial velocity * 0.4))
Substituting the known values, we can calculate the angle to be approximately 45 degrees.
(b) To find the initial velocity, we can use the vertical distance traveled by the laptop. Since the laptop was thrown and caught at the same height, the vertical displacement is zero. The equation for vertical displacement is given by:
Vertical displacement = (Initial velocity * sin(angle) * time) - (0.5 * g * time^2)
Since the vertical displacement is zero, we can set the equation equal to zero:
0 = (Initial velocity * sin(angle) * 0.4) - (0.5 * 9.8 * 0.4^2)
Simplifying and solving for the initial velocity, we find:
Initial velocity = (0.5 * 9.8 * 0.4^2) / (0.4 * sin(angle))
Substituting the known values and the angle calculated in part (a), we can determine the initial velocity to be approximately 7.85 m/s.
(c) To find the highest point reached by the laptop, we need to calculate the vertical displacement at the midpoint of the trajectory. Since the total time of flight is 0.4 seconds, the midpoint will be at t = 0.2 seconds. The equation for vertical displacement at a given time is:
Vertical displacement = (Initial velocity * sin(angle) * time) - (0.5 * g * time^2)
Substituting the known values and t = 0.2 seconds, we can find the vertical displacement:
Vertical displacement = (7.85 * sin(45) * 0.2) - (0.5 * 9.8 * 0.2^2)
Simplifying, we find the vertical displacement to be approximately 1.23 meters above the starting point.
The laptop left your friend's hand at an angle of approximately 45 degrees and with a speed of approximately 7.85 m/s. It reached a maximum height of approximately 1.23 meters above the starting point. These calculations were based on the principles of projectile motion and the given information of the distance, time of flight, and height.
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Which model could represent a neutral atom of nitrogen? 2 3 4 A. 1 B. 3 C. 4 D. 2.
Answer:
B
Explanation:
because it has more power
The Model A represents a neutral atom. hence option A is correct.
What is Atom ?Atom is smallest entity of a body. Body is made up of atoms. it is basic building block of a body. An atom consist of electrons, protons and neutrons as sub atomic particle. whole mass of the atom is concentrated at the center of the atom which we call it as nucleus, nucleus consist of proton and neutron. Electron revolve around the nucleus at determined(fixed) orbit. Total number of protons in the atom decides the atomic number and the elements in the periodic table. The electrons which are completely filled orbitals are called as core shell electrons and which are not filled completely are called as valence electron. valence electrons are responsible for physical and chemical properties of the element. Elements which are on same column in periodic table have same number of valence electrons . Hence they have same properties.
Atomic number of Nitrogen is 7. Hence neutral atom of nitrogen has 7 electrons in his orbits.
Hence option A is correct.
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Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter. what options correctly describe what will happen next.
1. what happens depends on the relative masses of ice and water.
2. all the ice will melt.
3. no ice will melt and no water will freeze.
4. all the water will freeze.
Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter.what happens depends on the relative masses of ice and water,some of the ice will melt and the final temperature will be 0 degrees Celsius.So the correct options are 1,2 and 3.
The amount of ice that melts depends on the relative masses of ice and water. If there is more ice than water, then all of the ice will melt. If there is more water than ice, then some of the ice will remain. The final temperature will be 0 degrees Celsius regardless of how much ice melts.
Option 4 is incorrect because the water is already at 0 degrees Celsius, so it cannot freeze. Option 3 is incorrect because heat is not being transferred into or out of the system, so the temperature will not change.Therefore correct option are 1, 2 and 3.
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Part A Two students stand at rest, facing each other on frictionless skates. They then start tossing a heavy ball back and forth between them. Describe their subsequent motion. Drag the terms on the left to the appropriate blanks on the right to complete the sentences.1. Suppose the students always throw the ball with the same horizontal component of velocity. Each time a student throws the ball to his friend, he gains momentum in the ______ direction2. Also, each time a student catches the ball, he gains momentum in the ______ also_____ his friend3. So the studentd will throw a ball until they____- are soo far from each other- clash with each other- direction opposite to the ball motion- direction of the ball motion- to- same- away from- opposite
The answer to their questions are, 1) he gains momentum in the opposite direction. 2) he gains momentum in the same direction as the ball motion 3) until they are so far from each other.
1. Suppose the students always throw the ball with the same horizontal component of velocity. Each time a student throws the ball to his friend, he gains momentum in the opposite direction.
2. Also, each time a student catches the ball, he gains momentum in the same direction as the ball motion.
3. So the students will throw a ball until they are so far from each other.
When one student throws the ball to his friend, he gains an equal and opposite amount of momentum to the momentum of the ball in the horizontal direction. When the other student catches the ball, he also gains momentum in the same direction as the ball motion. This results in both students moving away from each other with each throw and catch until they become too far apart to continue playing catch. The students will continue throwing the ball back and forth until they reach a certain distance apart, at which point they will stop playing.
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why is a layer of pollution in the air more visible in winter than summer
Answer:
During winters the planetary boundary layer is thinner as the cooler air near the earth's surface is dense. The cooler air is trapped under the warm air above that forms a kind of atmospheric 'lid'. This phenomenon is called winter inversion
Explanation:
Instructions: Answer the following questions in the space provided. Be sure to write your responses in complete sentences.
A father pushes his daughter and son on a sled down a hill.
Part A: Other than the force exerted by the father pushing the sled, identify two additional forces that act on the sled as it travels from the top of the hill to the bottom. (2 pts)
Part B: Explain how each force you identified in Part A will affect the motion of the sled. (2 pts)
(A) The two additional forces that act on the sled as it travels from the top of the hill to the bottom are friction force and weight of the children.
(B) The force of friction is opposing the motion while the weight of the children is assisting the downward motion.
What are the forces exerted on the sled?
The forces that act on the sled as it travels from the top of the hill to the bottom with either aid the downward motion or oppose the downward motion.
The forces acting on the sled include the following;
the force applied by the fatherthe weight of the children acting normal to the surface of the sledthe force of friction acting upwards to oppose the downward motionThe weight of the children is acting downwards and it will increase the motion downwards since there in the same direction.
The force of friction between the surface of the sled and the hill will oppose the downward motion of the children as the father exerts the downward force.
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We want to look at a number of thermodynamic transitions and see how much heat and work they produce. In all cases, the system considered is n
moles of an ideal gas with a specific heat of c~. All transitions are reversible. (a) The system starts at a temperature T and entropy Si, and goes isothermally to the state with temperature T and entropy S2. What is the work done and the heat produced? Express your answer in terms of T, S1, S, & and n (you
may or may not need all of these quantities). (b) The system starts at a temperature T1 and entropy S, and goes at constant entropy to the state with temperature T2 and entropy S. What is the work done and the the heat produced? Express your answer in terms of Th, T2, S, co
and n (you may or may not need all of these quantities).
:(a) The work done during the isothermal transition is zero, and the heat produced is Q = T(S2 - S1). (b) The work done during the constant-entropy transition is W = n(coT2 - ThT1), and the heat produced is Q = nTh(T2 - T1).
What are the work done and heat produced during the given thermodynamic transitions?(a) During an isothermal transition of an ideal gas from temperature T and entropy S1 to temperature T and entropy S2, the work done is zero. This is because the volume change during the transition occurs at a constant temperature, resulting in no net work.
The heat produced during this transition can be calculated using the formula Q = T(S2 - S1), where T is the temperature and S2 and S1 are the entropies at the respective states.
(b) In a constant-entropy transition of an ideal gas from temperature T1 and entropy S to temperature T2 and entropy S, the work done can be determined using the formula W = n(coT2 - ThT1), where n is the number of moles of the gas, co is the specific heat, and Th is the absolute temperature. The heat produced during this transition can be calculated using the formula Q = nTh(T2 - T1).
the calculations involved in determining the work done and heat produced during different thermodynamic transitions of an ideal gas.
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a spring-mass system is driven from rest harmonically such that the displacement response exhibits a beat of period of 0.2 s. the period of oscillation is measured to be 0.02 s. calculate the natural frequency and the driving frequency of the system
The natural frequency of the system is 4.545 Hz and the driving frequency is 5 Hz.
The beat period is the difference between the period of the driving force and the period of the system's natural frequency. Thus, we have:
Beat period = 1/f_beat = 0.2 s
Period of the system = T = 0.02 s
Therefore, we can write:
1/f_driving - 1/f_natural = 1/f_beat
Solving for the natural frequency, we get:
f_natural = f_driving / (1 + f_driving * f_beat)
We know that the system is driven from rest, so the amplitude of the motion will be maximum at the driving frequency. Therefore, the driving frequency is given by:
f_driving = 1 / (2π√(m/k))
where m is the mass of the system and k is the spring constant.
Substituting the given values, we get:
f_driving = 5 Hz
Substituting this value into the equation for the natural frequency, we get:
f_natural = 4.545 Hz
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