Answer:
0.56rad/s²
Explanation:
Using the equation of motion
wf = wi + αt
wf is the final angular velocity
wi is the initial angular velocity
α is the angular acceleration
t is the time
Given
wf = 11.0rad/s
wi =2.0rad/s
t = 5.5secs
Substitute into the formula and get α
11.0 = 2.0+5α
11.0-2.0 = 5α
9.0 = 5α
α = 5/9.0
α ≈ 0.56rad/s²
Hence the wheel's average angular acceleration is 0.56rad/s²
The wheel's average angular acceleration is equal to 1.64 \(rad/s^2\).
Given the following data:
Radius = 0.12 meterTime = 5.5 secondsInitial angular velocity = 2.0 rad/sFinal angular velocity = 11.0 rad/sTo determine the wheel's average angular acceleration, we would apply the first equation of kinematics:
Mathematically, the angular acceleration of an object is given by the formula:
\(\alpha = \frac{\omega_f - \omega_i}{t}\)
Where:
\(\omega_i\) is the initial angular velocity.\(\omega_f\) is the final angular velocity.t is the time.Substituting the given parameters into the formula, we have;
\(\alpha =\frac{11.0\;-\;2.0}{5.5} \\\\\alpha =\frac{9.0}{5.5}\)
Angular acceleration = 1.64 \(rad/s^2\)
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A 15.0kg block is resting on a 2.5 m long board with a coefficient of static friction of 0.45. If one end of the board is slowly raised, at what angle will the block slip?
As the board is raised by an angle θ, the block will be held in place by 3 forces:
• its weight, pointing downward (magnitude w )
• the normal force of the board pushing up on the block, pointing in the direction perpendicular to the board (mag. n)
• static friction, pointing in the direction parallel to the board, opposite the direction the block would slip (mag. f )
Decompose the vectors into components that are parallel and perpendicular to the board (taking the direction of n to be the positive direction perpendicular to the board, and the direction of f to be the negative directoin parallel to it), so that by Newton's second law, we have
• net parallel force:
∑ F = w (//) + f
∑ F = m g sin(θ) - µ n = 0
where µ = 0.45 is the coefficient of static friction, g = 9.80 m/s² is the mag. of the acceleration due to gravity, and m = 15.0 kg is the mass of the block.
• net perpendicular force:
∑ F = n + w (⟂)
∑ F = n - m g cos(θ) = 0
Solve for n in the equation for net perpendicular force:
n = m g cos(θ)
Substitute this into the equation for net parallel force:
m g sin(θ) - 0.45 m g cos(θ) = 0
Solve for θ :
sin(θ) - 0.45 cos(θ) = 0
sin(θ) = 0.45 cos(θ)
tan(θ) = 0.45
θ = tan⁻¹(0.45)
θ ≈ 24.2°
So the maximum angle the board can be lifted before the block starts to slide is about 24.2°, since the coefficient of static friction µ is such that
f = µ n
where f is the maximum magnitude of the static friction force.
If a chimpanzee were to throw darts at a Periodic Table, he would most likely hit an
element with which of the following characteristics:
a) a naturally radioactive element
b) a solid at room temperature
c) a gas at room temperature
d) a liquid at room temperature
Answer:he would most likely hit an element with which of the following characteristics: W) a naturally radioactive element X) a solid at room temperature Y) a gas at room temperature Z) a liquid at room temperature ANSWER: X) A SOLID AT ROOM TEMPERATURE
Explanation:
alculate the resistance in milliOhms of a copper wire 2.84 m long and 0.04 m diameter? The resistivity of copper is 1.7 x 10^-8.
Given:
The length of the copper wire is: l = 2.84 m.
The diameter of the copper wire is: d = 0.04 m.
The resistivity of the copper is: ρ = 1.7 x 10^-8 Ωm.
To find:
The resistance of the copper wire.
Explanation:
The expression for the resistivity is given by:
\(\rho=\frac{RA}{l}\)Here, A is the cross-sectional area of the copper wire, which is given by:
\(A=\pi(\frac{d}{2})^2\)Substituting the value in the above equation, we get:
\(\begin{gathered} A=\pi(\frac{0.04}{2})^2 \\ \\ A=0.00126\text{ m}^2 \end{gathered}\)Rearrange the resistivity expression as:
\(R=\frac{\rho l}{A}\)Substitute the values in the above equation, we get:
\(\begin{gathered} R=\frac{1.7\times10^{-8}\text{ }\Omega\text{m}\times2.84\text{ m}}{0.00126\text{ m}^2} \\ \\ R=0.038\times10^{-3}\text{ }\Omega \\ \\ R=0.038\text{ m}\Omega \end{gathered}\)Final Answer:
The resistance of a copper wire is 0.038 milliOhms.
Please I need the answer ASAP
Answer:
reflect and absorb light
Explanation:
Opaque objects reflect some amount of light and absorb the rest. They do not transmit light.
Transparent objects transmit most light falling on them. They reflect a very small amount of light and absorb the rest.
Translucent objects undergo all three processes, i.e., they reflect, absorb and transmit the light that falls on them
What do scientists know about the future of the universe?
what dark matter is made of
why the expansion of the universe is accelerating
that stars will eventually burn out causing the universe to become cold and dark
that galaxies spin much slower than they should based on visible matter
Answer:
B. Why the expansion of the universe is accelerating
Explanation:
possibly pretty sure if not right then the answer is A. What dark matter is made of hope this helps please mark brainiest only answer plz
Why the expansion of the universe is accelerating is what scientists know
about the future of the universe.
Scientists have observed that radiation emitted by the galaxies have shifted
towards the red end of the electromagnetic spectrum. This means that there
has been an increase in the wavelength for this to occur.
This tells us that the universe is expanding which was why the wavelength
of the emission spectra experienced a shift or stretch.
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is Firefly an artificial or natural light source
Answer:
NATURAL
Explanation:
well this is because a firefly isn't man- made it is a firefly it isn't a robot, it is an insect.
A simple machine increases the distance that a force needs to be applied from 3 meters to 27 meters, and
the work done is 216 Joules. How much force is applied? (1 point)
a.8N
b.72 N
c.9N
d.81 N
the input force by the output force 2. by adjusting the force's necessary application direction 3. 3N4. W=△E5.
What is the most accurate explanation of direction?Direction can refer to the way something moves, the way you must go to get somewhere, the way something is beginning to take shape, or the direction you are facing. When you turn right rather than left, that is an illustration of direction.
What exactly is a feeling of purpose in life?Your direction perception refers to your capacity to generally understand where you are or which course to go, even if you're in a strange environment. He quickly got lost due to his weak sense of direction. If you claim someone
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PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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Particles q₁ = -29.6 μC, q2 = +37.7 μC, and
93-10.8 μC are in a line. Particles q₁ and q2 are
separated by 0.630 m and particles q2 and q3 are
separated by 0.315 m. What is the net force on
particle q₁?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
-29.6 AC
91
0.630 m
+37.7 μC
+92
0.315 m
-10.8 μC
93
On particle q1, there is a net force of about +25.6 N, directed to the right.
We must take into account the electrostatic forces between particle q1 and the other two particles, q2 and q3, in order to calculate the net force on particle q1. Coulomb's Law describes the electrostatic force between two charged particles:
F = k * |q₁ * q₂| / r²
F is the force, k is the electrostatic constant (9 x 109 N m2/C2), q1 and q2 are the charges' magnitudes, and r is the distance separating them.
Let's first determine the force between q1 and q2:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9 x 10^9 N m²/C²) * |(-29.6 μC) * (+37.7 μC)| / (0.630 m)²
F₁₂ = (9 x 10^9 N m²/C²) * (29.6 x 10^-6 C) * (37.7 x 10^-6 C) / (0.630 m)²
F₁₂ ≈ -7.45 N
The minus symbol denotes an attracting force between q1 and q2, pointing to the left.
Let's next determine the force between q2 and q3:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9 x 10^9 N m²/C²) * |(+37.7 μC) * (-10.8 μC)| / (0.315 m)²
F₂₃ = (9 x 10^9 N m²/C²) * (37.7 x 10^-6 C) * (10.8 x 10^-6 C) / (0.315 m)²
F₂₃ ≈ +33.05 N
Positively directed to the right, the force between q2 and q3 is shown by the positive sign.
We must now add all the forces in order to determine the net force on q1:
Net force = F₁₂ + F₂₃
Net force ≈ -7.45 N + 33.05 N
Net force ≈ +25.6 N
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. You are a lifeguard at a local swimming pool. To ensure the safety of the swimmers, you need to know how much force is required to rescue a swimmer in distress. You also need to calculate the pressure that is exerted on the swimmer's body as they are pulled out of the water. If the swimmer weighs 60 kg, what is the force required to rescue them? If the area of the contact between the swimmer and the water is 0.5 m^2, what is the pressure exerted on their body? (Units: force - newtons (N), pressure - pascals (Pa), mass - kilograms (kg), area - square meters (m^2))
The force required to rescue in the swimming pool with a mass of 60 kg is 588N and the pressure exerted in the area of 0.5 m² is 1.176×10³Pa.
Force is defined as the push or pull of an object. Force equals the product of the mass and acceleration of the object. Acceleration is defined as the rate of change of velocity per unit time. The force also equals the rate of change of momentum per unit of time. The unit of force is Newton (N).
Pressure is defined as the force applied perpendicular to the surface area. It equals the ratio of force per unit area and the unit of pressure is Pascal (Pa).
From the given,
mass of the swimmer's body (m) = 60 kg
Acceleration. due to gravity (g) = 9.8m/s²
area (A) = 0.5 m²
Force, F = m×a
F = 60×9.8
= 588 N
The force to rescue the swimmer's body is 588N.
Pressure = Force/Area
= 588 / 0.5
= 1176 Pa
= 1.176×10³Pa
The pressure exerted on the body is 1.176×10³Pa.
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How much impulse is imparted on a 0.14 kg baseball initially traveling at 32 m/s when it is struck by a baseball bat and begins to travel in the opposite direction at 49 m/s
ANSWER AND EXPLAINATION:
To calculate the impulse imparted on the baseball, we can use the impulse-momentum principle, which states that the impulse experienced by an object is equal to the change in momentum of the object. Mathematically, it can be expressed as:
Impulse = Change in momentum
The momentum of an object is given by the product of its mass and velocity:
Momentum = mass × velocity
In this case, the baseball has an initial mass of 0.14 kg and an initial velocity of 32 m/s. After being struck by the bat, it travels in the opposite direction at a velocity of 49 m/s.
Therefore, the change in momentum is given by:
Change in momentum = (mass × final velocity) - (mass × initial velocity)
Change in momentum = mass × (final velocity - initial velocity)
Change in momentum = 0.14 kg × (49 m/s - (-32 m/s))
Change in momentum = 0.14 kg × (49 m/s + 32 m/s)
Change in momentum = 0.14 kg × 81 m/s
Change in momentum = 11.34 kg·m/s
So, the impulse imparted on the baseball is 11.34 kg·m/s.
Why dose a hot air balloon float
During the 28-day lunar cycle, the positions of the Sun,
Earth, and the Moon change in relation to one another. The
diagram shows how their relative positions change.
Which statement describes the positions of the Moon, the Sun, and Earth
during a new moon?
A. Earth is closer to the Sun than to the Moon.
B. The Moon is between Earth and the Sun.
C. Earth is between the Moon and the Sun.
D. The Sun is between Earth and the Moon.
Answer: B
Explanation: B is the correct statement describing the positions of the Moon, the Sun, and the Earth during a new moon. The Moon is between Earth and the Sun.
During a new moon, the Moon is positioned between the Sun and the Earth, with the illuminated side of the Moon facing away from the Earth. This means that the side of the Moon that faces the Earth is not receiving any sunlight, making it invisible to us from Earth. The new moon is the first phase of the lunar cycle and occurs roughly every 29.5 days.
Gansbsvskssvs oh alas no velwsjshe St h oh dog oh set of
The inverse of the mass is referred to as acceleration. The acceleration will be slower the more mass there is.
How does acceleration work?Acceleration is the rate of change in an object's velocity over time in mechanics. One of the vector quantities is speed. The direction of the net force exerted on an object is what determines its acceleration. The change in velocity rate is referred to as acceleration. Usually, but not always, acceleration implies a change in velocity.
A circular object moving at a constant velocity is still accelerating because its velocity is changing in the opposite direction. In physics, acceleration is the rate of change in an object's velocity over time. According to Newton's second law, the sum of all forces acting on an object determines its acceleration. Meters per second (ms²) is the SI unit for acceleration.
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Write an experiment to show motion of particles in the matter
The experiment to show the random motion of the particles is the movement of particles in a solution is the simplest representation of motion of particles.
What is the experiment to show the motion of particle in a matter?Pick up two glass beakers. Fill one beaker with hot water and the second one with cold water. Add KMnO4 crystals in very small quantities to both. We thus see that KMnO4 particles move faster in hot water than in cold water.
What is the experiment to show evidence for attraction between the particles:Pick up some iron and a piece of chalk. We learn that it's quite difficult to work with iron. This leads us to believe that the Forces can affect matter particles. among them. The pressure kept between particles and the power of the attraction in materials is at its strongest between particles the least in gases.
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Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?
Based on the information, it should be noted that the resistance R is 0.5 Ω.
How to calculate the resistanceWhen S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:
Z = jωL - 1/(jωC)
Since i leads e by 30°, we can express the phasor relationship as:
I = k * e^(j(ωt + θ))
Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)
Re(Z) = 0
By equating the real parts, we get:
0 = 0 - 1/(120πC)
Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:
Z = R + jωL - 1/(jωC)
Z = R + jωL
Im(Z) = ωL > 0
Substituting the angular frequency and rearranging the inequality, we have:
120πL > 0
L > 0
This condition implies that the inductance L must be greater than zero.
When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:
Z = R + jωL - 1/(jωC)
Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:
I = 0.5 * e^(j(ωt + θ))
By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:
Re(Z) = R
Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R
Therefore, the resistance R is 0.5 Ω.
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can anyone help me put this sentence into a scientific grammar ig : I had to put the blocks on the weigher, and wright down how much they weigh. I had to put the blocks next to the ruler to measure the height.
Answer:
I had to put the blocks on the weigher, and write down how much they weigh. I had to put the blocks next to the ruler to measure the height.
Explanation:
u would change wright to write because wright can be a name and if u change it to write that would be correct because u are actually writing something down. so it would be right because u are writing something down
The work-energy theorem states that the change in the kinetic energy of an object is equal to what?
The work-energy theorem states that the change in the kinetic energy of an object will be equal to the net work done on the object.
Mathematically, it can be expressed as;
ΔKE = W
Where; ΔKE represents the change in kinetic energy of the object,
W represents the net work done on the object.
This theorem states that when work is done on an object, it results in a change in its kinetic energy. If work is done on an object, its kinetic energy increases, and if work is done by an object, its kinetic energy decreases.
This theorem is a fundamental principle in physics that relates the concepts of work and energy, and it is often used to analyze the motion and behavior of objects in various physical systems.
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Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.500 cm and an area of 0.760 m2 , separated by a layer of air with a thickness of 1.65 cm . The temperature on one side of the window is 0.00 ∘C; the temperature on the other side is 23.0 ∘C. In addition, note that the thermal conductivity of glass is roughly 36 times greater than that of air. Approximate the heat transfer through this window by ignoring the glass. That is, calculate the heat flow per second through 1.65 cm of air with a temperature difference of 23.0 ∘C . (The exact result for the complete window is 24.4 J/s .)
The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.
First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.
Next, we calculate the effective thermal conductivity of the air layer as:
k_eff = (k_air * L_air) / (L_air + k_glass)
Substituting the given values, we have:
k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air
Now, we can calculate the heat flow per second through the air layer using the formula:
Q = (k_eff * A * ΔT) / L_air
Substituting the given values, we get:
Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s
Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
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Einstein developed much of his understanding of relativity through the use of gedanken, or thought, experiments. In a gedanken experiment, Einstein would imagine an experiment that could not be performed because of technological limitations, and so he would perform the experiment in his head. By analyzing the results of these experiments, he was led to a deeper understanding of his theory. In each the following gedanken experiments, Albert is in the exact center of a glass-sided freight car speeding to the right at a very high speed vvv relative to you. Albert has a flashlight in each hand and directs them at the front and rear ends of the freight car. Albert switches the flashlights on at the same time.
In Albert's frame of reference, which beam of light travels at a greater speed, the one directed toward the front or the one toward the rear of the train, or do they travel at the same speed? Which beam travels faster in your frame of reference? Enter the answers for Albert's frame of reference and your frame of reference separated by a comma using the terms front, rear, and same. For example, if in Albert's frame of reference the beam of light directed toward the front of the train travels at a greater speed and in your frame of reference the two beams travel at the same speed, then enter front,same.
Answer:
For eintein's frame of reference, both beam travel at the same speed.
For my own frame of reference, both beams travel at the same speed.
Explanation:
According to special relativity, the speed of light is the same in all direction on all reference frame. If not for this law we will assume the from beam will have a relative speed that will be the speed of light plus the speed of the fright car. This is not so and it violates the speed limit of light which according to the first law is the highest speed possible and nothing can go beyond that.
The speed of light is 3×10^8 meters per second, which means that light can travel 300 million meters in just one second. How far can light travel in one minute?
Answer:
(1.8 × 10^9) meters in one minute
Explanation:
To determine how far light can travel in one minute, we need to multiply its speed by the number of seconds in a minute.
The speed of light is 3 × 10^8 meters per second.
There are 60 seconds in a minute.
Therefore, the distance light can travel in one minute is:
Distance = Speed × Time
Distance = (3 × 10^8 meters per second) × (60 seconds)
Calculating this, we get:
Distance = 3 × 10^8 meters/second × 60 seconds
Distance = 18 × 10^8 meters
Distance = 1.8 × 10^9 meters
So, light can travel approximately 1.8 billion (1.8 × 10^9) meters in one minute.
Please solve this.. I can't find R_th and V_oc at 6kohm....
The current I through the 4 kΩ resistor in the original circuit is 0.199 mA.
Thévenin's theorem states that any linear network of voltage and current sources and resistors can be replaced by an equivalent circuit consisting of a single voltage source and a single resistor. The equivalent circuit provides the same output voltage and current as the original circuit for any external load connected to it.
To find the current I in the circuit using Thévenin's theorem, we need to follow these steps:
Step 1: Find the Thévenin equivalent voltage (Vth) across the 4 kΩ resistor.
To find Vth, we need to first find the open circuit voltage (Voc) across the 4 kΩ resistor. We can do this by removing the 4 kΩ resistor and finding the voltage between its two terminals using a voltage divider:
Voc = 6 kΩ/(2 kΩ + 6 kΩ) x 2 mA = 1.2 V
Next, we need to find the Thévenin equivalent resistance (Rth) across the 4 kΩ resistor. To do this, we need to short-circuit all the independent voltage sources (in this case, there is only one) and find the equivalent resistance seen from the terminals of the 4 kΩ resistor. With the 2 mA current source shorted out, the 2 kΩ and 4 kΩ resistors are in parallel:
Rth = 2 kΩ || 4 kΩ = 1.33 kΩ
Step 2: Replace the original circuit with the Thévenin equivalent circuit.
We can now replace the original circuit with the Thévenin equivalent circuit, which consists of a voltage source Vth = 1.2 V in series with a resistor Rth = 1.33 kΩ.
Step 3: Find the current I through the 4 kΩ resistor in the Thévenin equivalent circuit.
To find the current I, we can use Ohm's law:
I = Vth/(Rth + 4 kΩ) = 1.2 V/(1.33 kΩ + 4 kΩ) = 0.199 mA
Therefore, the current I through the 4 kΩ resistor in the original circuit is 0.199 mA.
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A pendulum of mass 12 kg is released from rest at some height, as shown by
point A in the image below. At the bottom of its arc at point B, it is traveling at
a speed of 19 m/s. What is the approximate amount of energy that has been
lost due to friction and air resistance? (Recall that: g = 9.8 m/s²)
20 m
A35
B186
C78
D112
The energy lost to friction and air resistance is 186 J.
option B.
What is the energy lost to friction and air resistance?The energy lost to friction and air resistance is calculated from the change in the mechanical energy of the pendulum.
The initial potential energy of the pendulum at the initial position is calculated as;
PEi = mghi
where;
m is the massg is gravityh is the initial heightP.Ei = 12 kg x 9.8 m/s² x 20 m
P.Ei = 2,352 J
The final kinetic energy of the pendulum is calculated as follows;
K.Ef = 0.5 x 12 kg x (19 m/s)²
K.Ef = 2,166 J
ΔE = 2,166 J - 2,352 J
ΔE = -186 J
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A punter kicks a football at an angle of 45° to the ground. The football has an initial velocity of 25 m/s.
a. How long is the football in the air?
s
b. What horizontal distance does the football travel?
m
c. What is the maximum height of the football?
m
Answer: The football spent 3.6 s in air
Explanation: I know im correct :-)
You slide a hockey puck across the ice in a hockey rink
Answer-
mk thats kool.
Answer:
Force Friction
Explanation:
If you wanted to measure the composition and magnetism of a star, what would be the best way to do so?
If you wanted to measure the composition and magnetism of a star, then the best way to do so is : spectroscopy :
What is spectroscopy?The common method astronomers use to determine the composition of stars and planets is spectroscopy. Each element absorbs light at specific wavelengths unique to that atom and when astronomers look at object's spectrum, they can determine its composition based on wavelengths.
Spectrometers are used in astronomy to analyze the chemical composition of stars and planets, and gather data on the origin of the universe. The science of spectroscopy is sophisticated. From spectral lines astronomers can determine not only the element, but also temperature and density of that element in the star.
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PLS HELP!! I’LL GIVE 25 POINTS TO WHOEVER ANSWERS
IMA of the pulley system is 3.
The length of the effort arm of a lever divided by the length of the resistance arm represents the ideal mechanical advantage, IMA.
IMA = Resistance force/Effort force
IMA = Fr/Fe
Calculating IMA involves measuring the number of ropes present in the pulley system.
Therefore, IMA = 3
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A WOMAN HAS A MASS OF 75.0 kg What is her weight on earth?
Answer:
735 N
Explanation:
If a woman has mass 75kg and u know that mass is constant everywhere then just apply the formula W=mg...as gravity on earth is 9.8 m/s2 , so her weight will be 735 N...hope it helps...
If a woman has a mass of 75 kilograms then her weight on the earth would be 735.75 Newtons, because the weight of the woman is the multiplication of the mass of the woman and the acceleration due to the gravity of the earth.
What is gravity?It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another,
As given in the problem if a woman has a mass of 75 kilograms we have to find the weight of the woman,
The weight of the woman = mass of the woman × acceleration due to the gravity of the earth
= 75 kilograms × 9.81
=735.75 Newtons
Thus, the weight of a woman who has a mass of 75 kilograms would be 735.75 Newtons
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A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well.
Answer:
57.0 m
Explanation:
Assume the time it takes for the sound to reach the top of the well is negligible.
Given:
v₀ = 0 m/s
a = 9.8 m/s²
t = 3.41 s
Find: Δy
Δy = v₀ t + ½ at²
Δy = (0 m/s) (3.41 s) + ½ (9.8 m/s²) (3.41 s)²
Δy = 57.0 m
Answer:
57 m
Explanation:
A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C
The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).
The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.
In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²
(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:
Electric flux = Electric field strength × Area
Electric flux = 18 N C⁻¹ × 0.450 m²
Electric flux = 8.1 N m² C⁻¹
In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.
The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).
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