The constant force Bob must exert on the rock to throw it with a speed of 33 m/s is 390 N and If Bob is standing on friction-less ice, then his recoil speed after releasing the rock is 0.26 m/s in the opposite direction.
1) The work done by Bob on the rock is given by the kinetic energy of the rock:
KE = (1/2)mv²
where m is the mass of the rock and v is the speed at which it is thrown.
Substituting the given values, we get:
KE = (1/2)(0.54 kg)(33 m/s)^2 = 303.465 J
The work done by Bob is equal to the change in kinetic energy of the rock:
W = ΔKE = KE_{f} - KE_{i}
where KE_{i} is the initial kinetic energy of the rock (zero) and KE_{f} is the final kinetic energy of the rock (303.465 J). Substituting the values, we get:
W = 303.465 J - 0 J = 303.465 J
The force exerted by Bob on the rock is given by:
W = Fd
where d is the distance through which Bob's hand moves while accelerating the rock.
Substituting the given values, we get:
F = W/d = 303.465 J/1.0 m = 303.465 N
Therefore, Bob must exert a constant force of 303.465 N on the rock to throw it with a speed of 33 m/s.
2) If Bob is standing on friction-less ice, there is no external force acting on the system consisting of Bob and the rock. Therefore, the momentum of the system must be conserved:
p_i = p_f
where p_i is the initial momentum of the system (which is zero), and
p_f is the final momentum of the system.
The final momentum of the system can be calculated as follows:
p_f = m_r *v_r + m_b* v_b
where m_rock and v_r are the mass and velocity of the rock after it is thrown, and
m_b and v_b are the mass and velocity of Bob after he releases the rock.
Since the momentum of the system is conserved, we can set p_f equal to zero and solve for v_b:
0 = (0.54 kg)(33 m/s) + (70 kg)v_b
v_b = - (0.54 kg)(33 m/s)/(70 kg) = -0.256 m/s
Therefore, Bob recoils with a speed of 0.256 m/s in the opposite direction after he releases the rock.
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A gas occupies a certain volume at 27°C. At what temperature will it volume be doubled, assuming that its pressure remains constant?
Answer:
327 \(^oC\)
Explanation:
The temperature at which the volume would be doubled is 327 \(^oC\).
Using the formula from Charles' law:
V1/T1 = V2/T2, where V1 = initial volume, T1 = initial temperature, V2 = final volume, and T2 = final temperature.
In this case, V2 = 2V1, T1 = 300 K (27 + 273), and T2 is what we are looking for.
Substituting the different entities in the equation:
V1/300 = 2V1/T2
T2 = 300 x 2 = 600K
Hence, T2 = 600 - 273 = 327 \(^oC\)
Were there experiences in his life that led to his interest in science and the study of the atom?
(i chose j.j Thomson for this worksheet)
I WILL GIVE BRAINIEST IF YOU HAVE A GOOD ANSWER and no links plz (this is worth 40 points too)
Answer:
The right answer is Democritus
Explanation:
He experienced bonding with his father which strongly resulted his interest in science and to the study of the atoms ;)
Your welcome
Democritus created the first atomic model. Democritus's experiences with his father also led to his interest in science and to the study of the atom. The atom in Democritus' model is an inert solid that interacts with other atoms mechanically. yes its me Ari
If a supernova remnant core has a mass greater than 2.8 solar masses, then what force will be able to stop gravity from collapsing the core
If a supernova remnant core has a mass greater than 2.8 solar masses, then NO force will be able to stop gravity from collapsing the core. (Option C)
What is a Supernova Remnant Core?A supernova Remnant Core is an astronomic structure that is remaining after the explosion of a star in a supernova has occurred.
A supernova is simply the explosion of a star. When the mass of the sun is used as a unit of mass, it is called solar mass. This unit is given as:
1.989 × 1030 kg.
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For the velocity-time graph shown, which statement describes what happens to the velocity between approximately 24 s and 25 s?
A) The lander's velocity increases away from the reference.
B) The lander's velocity decreases toward the reference.
C) The lander's velocity decreases away from the reference.
D) The lander's velocity increases toward the reference.
The velocity–time graph of the Lunar Landing Powered Descent that has a domain of 10 ≤ t ≤ 25, and a range of -2 ≤ v ≤ -40, between the 24th and the 25th seconds gives;
C) The Lander's velocity decreases away from the reference
What is a velocity–time graph?A velocity time graph is a graph that shows the variation of the velocity of an object with time.
The information with regards to the lunar landing powered descent graph are;
Coordinate points on the graph;
(10, -2); At time t = 10 seconds, the average velocity, v = 0
(10.5, -40); The velocity relative to the starting point changed and decreased from 0 m/s to -40 m/s
(15, -5); The velocity increased from -40 m/s to -5 m/s
(22, -3); The velocity increases from -5 m/s to -3 m/s
(24, -2); The velocity increases from -3 m/s to -2 m/s
(25, -15); The velocity decreases from -2 m/s to -15 m/s
Therefore, taking the reference point as the point where the velocity is zero, 0, we have that between approximately 24 seconds and 25 seconds, the Lander's velocity decreases away from the reference.
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Spiderman uses his spider webs to save a runaway train moving about 80km/h , (Figure 1) . His web stretches a few city blocks (500m ) before the 104-kg train comes to a stop.
Assuming the web acts like a spring, estimate the effective spring constant.
Express your answer to one significant figure and include the appropriate units.
The effective spring constant for the web, which behaves like a spring, is 20N/m
The speed of the train is,
v=80 km/h
= 80 km/h(1000m/1km)(1h/3600s)
=22.2 m/s
From the law of conservation of energy, the initial kinetic energy of the train should be converted to the elastic potential energy of the web before stopping the train.
\(K_{train} = U_{web}\)
1/2 * m * v² = 1/2 * k * x ²
k = (m * v ²)/(x ²)
= ((10⁴kg) * (22.2m / s) ²)/((500m) ²)
= 19.7N / m = 20N / m
One of the four temperate seasons, commonly referred to as spring or springtime, spring follows winter and comes before summer. There are several technical definitions of spring, but how the term is used locally depends on the local climate, culture, and customs. Autumn occurs in the Southern Hemisphere when spring does in the Northern Hemisphere, and vice versa.
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if rob believes that his father loves him unconditionally, why does he think he will have to do a lot extra chores to pay for the car?
Answer: Rob's father does love him unconditionally but he also just wants rob to have a successful future and be able to have money for his own car and other necessities needed for when he is on his own.
Explanation:
determine the car’s instantaneous velocity at t=5s
Answer:
In the given graph,
Velocity is constant between 4 to 8 which is 2m/s
So, at t=5s
Instantaneous velocity=2m/s
Explanation:
hope this help u thank u
A stunt-rider on a motorcycle rides down a ramp and into a vertical loop-the-loop. If the diameter of the loop is 7.50 m, then the slowest speed the motorcycle can have at the top of the loop if it is to remain in contact with the loop is _________ km/h.
Answer:
v = 6.06 m/s
Explanation:
In order for the rider to pass the top of the loop without falling, his weight must be equal to the centripetal force:
\(Centripetal Force = Weight \\\frac{mv^2}{r} = mg\\\\\frac{v^2}{r} = g\\\\v = \sqrt{gr}\)
where,
v = minimum speed of motorcycle at top of the loop = ?
g = acceleration due to gravity = 9.8 m/s²
r = radius of the loop = diameter/2 = 7.5 m/2 = 3.75 m
Therefore, using these values in equation, we get:
\(v = \sqrt{(9.8\ m/s^2)(3.75\ m)}\)
v = 6.06 m/s
On a fine spring day you notice that the temperature is 68°F. What is the corresponding temperature on the Celsius scale? (step by step pls!)
Answer:
20°C
Explanation:
The relationship between temperature in degrees Fahrenheit(F) and degrees Centigrade (C) is
C = (F - 32) x 5/9
Given F = 68°F
C = (68-32) x 5/9
= 36 x 5/9
= 36/9 x 5
= 4 x 5
= 20°C
Answer:
20º C
Explanation:
The formula for converting Fahrenheit to Celsius is:
C = 5/9 • (F - 32)
Plugging 68º for F we get:
C = 5/9 •(68º-32)
C = 5/9 •(36)
C = 20º
If a switch is open in a series circuit with a battery trying to light a bulb, what will happen? The bulb will light up. O The switch is not working. O The bulb will not light up. HELP PLEASE THIS TEST IS IMPORTANT TO ME
Answer:
The bulb will not light up
If the switch is open then the connection between the circuit broken and the bulb stops glowing The circuit needs to be closed and connected.The circuit is the closed path through which current flows. It consists of cell , battery , wires, resistors etcd. The bulb will not light up.
What is a series circuit?A series circuit comprises a path along which the whole current flows through each component.
According to the question,
When the switch is open, the light cannot operate since the circuit is not complete.
There is no closed-loop path for the current to flow through the circuit. When the switch is closed, the light bulb operates since the current flows through the circuit.
If the switch is open then the connection between the circuit broken and the bulb stops glowing.
For light up the bulb , the circuit needs to be closed and connected.
Only the circuit which have closed path will flows the current. It consists of cell , battery , wires, resistors etc.
Therefore,
The bulb will not light up, if a switch is open in a series circuit with a battery trying to light a bulb.
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Calculate the wavelength of light that produces its first minimum at an angle of 36.9º when falling on a single slit of width 1.00 μm .
To solve this problem, we can use the formula for calculating the position of the first minimum in a single-slit diffraction pattern:
sinθ = λ / (wavelength) = (m + 1/2)λ / (width of slit)
where θ is the angle of the first minimum, λ is the wavelength of the light, and m is the order of the minimum (in this case, m = 0).
Plugging in the given values, we get:
sin(36.9º) = λ / (1.00 μm) = (0 + 1/2)λ / (1.00 μm)
Solving for λ, we get:
λ = (1.00 μm) * sin(36.9º) / 0.5
λ ≈ 0.603 μm
Therefore, the wavelength of light that produces its first minimum at an angle of 36.9º when falling on a single slit of width 1.00 μm is approximately 0.603 μm.
To calculate the wavelength of light that produces its first minimum at an angle of 36.9º when falling on a single slit of width 1.00 μm, you can use the single-slit diffraction formula:
sin(θ) = mλ / a
Where θ is the angle of the first minimum (36.9º), m is the order of the minimum (m=1 for the first minimum), λ is the wavelength of the light, and a is the width of the slit (1.00 μm).
Step 1: Convert the angle to radians.
θ = 36.9º × (π/180) = 0.644 radians
Step 2: Plug the values into the formula.
sin(0.644) = 1 × λ / 1.00 μm
Step 3: Solve for the wavelength.
λ = sin(0.644) × 1.00 μm = 0.601 μm
The wavelength of light that produces its first minimum at an angle of 36.9º when falling on a single slit of width 1.00 μm is approximately 0.601 μm.
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Which of the following statements is TRUE concerning forces?
A. Forces in the same direction are added together
B. Forces in the opposite direction are subtracted from one another
C. An overall net force must be present in order for movement to occur
D. All of the above
which of the following statements best describes the electric field in the region between the spheres?
Consider the Gaussian surface in the form of sphere, the electric field between the spheres is radially outwards.
For a positive charge, the electric field lines are projecting outwards of positive charge.
For a negative charge, the electric field lines are projecting inwards of positive charge.
Hence, the electric field points radially outwards.
What is electric field?The physical field that surrounds electrically charged particles, known as an electric field (or E-field), exerts force on all other charged particles in the field, either attracting or repelling them. Additionally, it describes the physical environment of a system of charged particles. Time-varying electric currents and electric charges are the building blocks of electric fields. One of the four basic interactions (also known as forces) of nature, the electromagnetic field, manifests itself in both electric and magnetic fields.
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12. a) What is the gravitational attraction of the sun
on the earth? (b) of the earth on the sun?
Answer:
About 3.54x1022 N.
Explanation: The gravitational force between the Sun and the Earth is about 3.54x1022 N. This force keeps the Earth orbiting around the Sun. The gravitational force from the other planets does slightly affect the Earth's orbit, but the gravitational pull from the other planets and the Moon is still very small. Sorry if I get this wrong. I am in 5th grade! ♥
Please helpp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help! will give brainliest!
Answer:
I would say increasing the balls kinetic energy
Explanation:
Because she is moving the ball and increasing kinetic energy
Select the correct answer.
Why does a solid change to liquid when heat is added?
ОА.
The spacing between particles decreases.
O B.
Particles lose energy.
Ос.
The spacing between particles increases.
OD
The temperature decreases.
Reset
N
Answer:
Ос.
The spacing between particles increases.
Heat causes greater particle activity, and the particles
are farther apart.
A certain superconducting magnet in the form of a solenoid of length 0.500 m can generate a magnetic field of 9.00 T in its core when its coils carry a current of 75.0 A. a) Find the number of turns in the solenoid. b) If a single proton is shot into one end of the solenoid such that it is originally traveling along the central axis, what direction would the force on the proton from the magnetic field be pointed in (if it acts on the proton at all)? (10 pts)
a) The number of turns in the solenoid is approximately 206.
How many turns are there in the solenoid?To determine the number of turns in the solenoid, we can use the formula for the magnetic field inside a solenoid, which is given by B = μ₀nI, where B is the magnetic field, μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current.
Rearranging the formula, we have n = B / (μ₀I). Substituting the given values of B = 9.00 T and I = 75.0 A, and using the value of μ₀, we can calculate the number of turns per unit length. Multiplying it by the length of the solenoid (0.500 m) gives us the total number of turns in the solenoid, which is approximately 206.
A solenoid is a coil of wire wound in a helical shape. When a current flows through the coils, it creates a magnetic field along the axis of the solenoid. The strength of the magnetic field depends on factors such as the number of turns per unit length and the current flowing through the solenoid.
In this case, we are given the magnetic field and current, and we use the formula for the magnetic field inside a solenoid to calculate the number of turns. The higher the number of turns, the stronger the magnetic field generated by the solenoid.
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Please help me with 17 and 18!!!!!! (It's related to 16) It's due today!!!!! NO LINK PLEASE!!!!!!!!
Answer:17: A wave can be defined as follows: It is important to realize that a wave is quite a different object than a particle. A baseball thrown though a window transfers energy from one point to another, but this involves the movement of a material object between two points.
Explanation:
18: In this way, we classify waves into electromagnetic and mechanical waves. The main difference between mechanical and electromagnetic waves is that electromagnetic waves do not require a medium to propagate whereas mechanical waves require a medium in order to propagate.
Assume your eyes receive a signal consisting of blue light, 470 nm. The energy of the signal is 2. 50 1014 J. How many photons reach your eyes
The energy of photon with the wavelength of 470 nm is 4.23 × 10 ⁻¹⁹ J. The total energy of all photons is given 2.50 J. Then the number of photons reaching our eyes is 5.93 × 10¹⁸.
What are photons?According to De Broglie's dual nature of matter, light behaves as both wave and particle. If the light has the particle nature, the light particles are called photons.
The energy of one photon is E = hc/λ
Where h is the Planck's constant and c be the speed of light.
given that λ = 470 nm
h = 6.63 × 10⁻³⁴ J. s
c = 3 × 10⁸ m/s.
Then E = ( 6.63 × 10⁻³⁴ J. s × 3 × 10⁸ m/s ) / (470 × 10⁻⁹ m) = 4.23 × 10 ⁻¹⁹ J.
This is the energy of one photon. If the total energy is 2.50 J. The number of photons = 2.50 J / 4.23 × 10 ⁻¹⁹ J = 5.93 × 10¹⁸.
Therefore, the number of photons reaching our eyes is 5.93 × 10¹⁸.
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Briefly explain the circumstances in which velocity and acceleration of a car are
a) parallel
b) anti parallel
Explanation:
a) Velocity and acceleration of a car are parallel when the car is moving along a straight line in the same direction. For example, when a car is gaining speed as it moves forward in a straight line, both velocity and acceleration are directed in the same direction.
b) Velocity and acceleration of a car are anti-parallel when the car is moving along a straight line in the opposite direction. For example, when a car slows down while moving in a straight line, its acceleration is directed opposite to the direction of its velocity, or the other way around.
Answer:
a)
There is only one case where velocity and acceleration are parallel only when they are moving in the same direction.
b)
There are 3 cases where velocity and acceleration are antiparallel.
(i) When both are moving in different direction
It means :
Either velocity towards +ve direction and acceleration towards -ve direction.Or, velocity towards -ve direction and acceleration towards +ve direction.It is applicable for both 2D (x-y plane) and 3D (x-y-z plane)(ii) When the object is slowing down, where velocity and acceleration are in the opposite direction.
(iii) In case of motion reversal.
Explanation:
A coyote walks 20 meters in 40 seconds, what is its average speed?
Answer:
the answer is 0.5m/s in meters per second
write the chemical formulae for; nitrogen monoxide, hydrochloric acid, barium phosphate, ammonium hydroxide,nitric acid
Answer:
Nitrogen Monoxide = NOHydrochloric Acid = HCLBarium Phosphate = (Ba) 3{(Po)4}Ammonium Hydroxide = (NH) 4(OH) Nitric Acid = H(NO)3An alarm emits sound of power 0.51 w uniformly in all directions. how much energy passes through a rectangle 20 m from the alarm in one minute? the dimensions of the rectangle are 3.0 m by 4.0 m.
Approximately 0.1457 Joules of energy pass through the rectangle in one minute.
The intensity of a sound wave is the power per unit area. To find the intensity at the given distance, we can use the inverse square law. Since the power is uniformly distributed in all directions, we can consider a sphere with radius \(20 m\) centered at the alarm. The area of the sphere is \(4\pi r^2\), and the intensity is power divided by the area.
\(Intensity = Power / (4\pi r^2)\)
\(= 0.51 W / (4\pi (20)^2)\)
\(= 0.000203 W/m^2\)
Now we can calculate the energy passing through the rectangle in one minute. First, we need to find the total energy passing through the rectangle per second.
Energy per second = Intensity × Area of the rectangle
\(= 0.000203 W/m^2 x (3.0 m x 4.0 m)\)
\(= 0.002428 W\)
Finally, we can calculate the total energy passing through the rectangle in one minute.
Energy = Energy per second × 60 seconds
\(= 0.002428 W x 60 s\)
\(= 0.1457 J\)
Therefore, approximately 0.1457 Joules of energy pass through the rectangle in one minute.
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How harmful are the emissions from cosmetics, hygiene, and cleaning products? Claim
Evidence 1
Evidence 2
Evidence 3
Reasoning
The claim can be Cosmetics, hygiene, and cleaning product emissions may be dangerous.
Evidence 1: Effect of Air Quality
Volatile organic compounds (VOCs), including formaldehyde, benzene, and toluene, can be found in a variety of cosmetic, hygiene, and cleaning goods. These VOCs have the potential to evaportate and cause indoor air pollution.
Environmental impact is evidence number two
Cosmetics, hygiene, and cleaning goods can have a detrimental environmental impact during manufacturing, usage, and disposal. Microplastics and certain chemicals are among the substances present in these items that may find their way into rivers and endanger aquatic life.
Evidence 3: Worker health effects
Occupational health risks can be present for workers who manufacture and produce hygiene, cleaning, and cosmetic items.
Reasoning: It is clear from the research that emissions from cosmetic, hygiene, and cleaning goods have the potential to be harmful.
Thus, this way, harmful are the emissions from cosmetics, hygiene, and cleaning products.
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Calculate the kinetic energy of a 1.15 kg bowling ball rolling down the lane at 2 m/s. Include the units.
We will have the following:
\(\begin{gathered} k=\frac{1}{2}(1.15kg)(2m/s)^2\Rightarrow k=\frac{23}{10}J \\ \\ \Rightarrow k=2.3J \end{gathered}\)So, the nergy is 2.3 J.
A ball of mass 0.5 kg is swinging at a small angle from a light string of length 0.25 m. What is the period of this pendulum? Round answer to two significant digits.
Answer: 1.0
Explanation:
not sure why but that is the correct answer
Answer:
1.0
Explanation:
Correct answer on Khan Academy
4. Which of the following statements is correct?
A Mass and weight are different names for the same thing
B The mass of an object is different if the object is taken to the Moon
C The weight of a cer is one of the forces acting on the car.
D The weight of a chocolate beris measured in kilograms
Answer:
Explanation:
A: wrong. Mass and weight are different.
B: Wrong. The mass here and the mass on the moon are the same. The weight, which is Mass * the acceleration is equal to weight.
C: Correct.
D: Wrong. Weight is not measured in Kg. Mass is.
The speed of light is a constant and approximately equal to 300,000,000 meters per second.
Green lasers emit light at a wavelength of 532 nm. However, the material that is used to make most green lasers does not emit light at 532 nm. Instead, it emits light at a different wavelength, and the laser then uses a “frequency doubler.” This doubles the frequency of the emitted light, and the resultant light is the green 532 nm that we observe.
1 meter is equal to 1,000,000,000 nanometers.
What is the output light frequency of the material used before doubling?
The material used before doubling will produce light at a frequency of 0.056 Hz.
What is the frequency?The number of times a wave occurs repeatedly in a second is known as frequency.
The formula provides the frequency as,
\(\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{3 \times 10^8}{532 \times 10^-9} \\\\ \rm f = 3 \times 10^{12} \\\\ f= 0.056 \ Hz\)
Therefore, the material used before doubling will have an output light frequency of 0.056 Hz.
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what is the amount of work that is done in joules when 3.13 millicoulombs of electric charge moves between two points if the potential difference between those two points is 6.29 kv?
The amount of work done in joules when 3.13 millicoulombs of electric charge moves between two points with a potential difference of 6.29 kV is approximately 19.68 J.
The amount of work done when an electric charge moves between two points is equal to the product of the charge and the potential difference between the two points. This is expressed by the equation:
Work = Charge x Potential Difference
The units of charge and potential difference are coulombs (C) and volts (V), respectively. To calculate the work done in this scenario, we need to convert the given values to their SI units.
1 millicoulomb (mC) = 10^-3 C
1 kilovolt (kV) = 10^3 V
Therefore, 3.13 millicoulombs of charge is equivalent to:
3.13 x 10^-3 C
And the potential difference of 6.29 kV is equivalent to:
6.29 x 10^3 V
Now, we can use the formula for work:
Work = Charge x Potential Difference
Work = (3.13 x 10^-3 C) x (6.29 x 10^3 V)
Work ≈ 19.68 J
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