The concepts required to solve the given problem are law of conservation of kinetic energy and liner momentum.
Initially, calculate the speed of the puck A before the collision using law of conservation of momentum. Later, calculate the initial and final kinetic energy of the system that occurs during the collision. Finally, calculate the change in kinetic energy.
The expression of the kinetic energy in terms of momentum is,
Here, KE is the kinetic energy, p is the momentum, and m is the mass.
The conservation of the energy states that during the collision of the particles, the initial energy is equal to the final energy. This can be represented as,
Here, is the initial kinetic energy and is the final kinetic energy.
The conservation of the momentum states that during the collision of the particles, the initial momentum is equal to the final momentum. This can be represented as,
Here, is the initial momentum and is the final momentum.
(A)
According to the law of conservation of momentum,
…… (1)
Here, and are the masses of pucks A and B respectively, and are the initial speeds of pucks A and B before collision, and are final speed after collision.
Rearrange equation (1) for .
Substitute 0.250 kg for , 0.360 kg for , for , 0 m/s for , and 0.660 m/s for .
(B)
The initial kinetic energy before collision is given by the following formula.
Here, is the initial kinetic energy, and are the masses of pucks A and B respectively, and are the initial speeds of pucks A and B before collision.
Substitute 0.250 kg for , 0.825 m/s for , 0.360 kg for , and 0 m/s for in the above equation.
The final kinetic energy after the collision is given by the following expression:
Here, is the final kinetic energy, and are the masses of pucks A and B respectively and are final speeds of pucks A and B after collision.
Substitute 0.250 kg for , for , 0.360 kg for , and 0.660 m/s for in the above equation.
The change in kinetic energy is given by the following expression:
Here, and are the final and initial kinetic energies.
Substitute 0.080361 J for and 0.08516 J for .
Here, the negative sign shows the loss in kinetic energy.
Ans: Part AThe speed of the puck A before the collision was 0.825 m/s.
On a frictionless, horizontal air table, puck A (with mass 0.250 kg ) is moving toward puck B (with mass 0.360 kg ), tha...
On a frictionless. horizontal air table, puck A (with mass 0.250 kg) is moving toward puck B (with mass 0.360 kg), that is initially at rest. After the collision, puck A has a velocity of 0.121 m/s to the left, and puck B has velocity 0.660 m/s to the right. Part A What was the speed of puck A before the collision?
On a frictionless, horizontal air table, puck A (with mass 0.250 kg) is moving toward puck B (with mass 0.360 kg ), that is initially at rest. After the collision, puck A has a velocity of 0.118 m/s to the left, and puck B has velocity 0.655 m/s to the right. a)What was the speed of puck A before the collision? b)Calculate the change in the total kinetic energy of the system that occurs during the collision.
On a frictionless, horizontal air table, puck A (with mass 0.250 kg ) is moving toward puck B (with mass 0.360 kg ), that is initially at rest. After the collision, puck A has a velocity of 0.118 m/s to the left, and puck B has velocity 0.655 m/s to the right. A- What was the speed of puck A before the collision? B- Calculate the change in the total kinetic energy of the system that occurs during the collision.
On a frictionless, horizontal air table, puck A (with mass 0.250 kg ) is moving toward puck B (with mass 0.350 kg ), that is initially at rest. After the collision, puck A has a velocity of 0.121 m/s to the left, and puck B has velocity 0.650 m/s to the right. A)What was the speed of puck A before the collision? B)Calculate the change in the total kinetic energy of the system that occurs during the collision.
On a frictionless horizontal air table, puck A (with mass 0.250 kg ) is moving toward puck B (with mass 0.374 kg), which is initially at rest. After the collision, puck A has velocity 0.125 m/s to the left, and puck B has velocity 0.649 m/s to the right. - Part A What was the speed vAi of puck A before the collision? View Available Hint(s) Vai = 0.846 m/s Submit Previous Answers ✓ Correct If you are required to...
On a frictionless horizontal air table, puck A (with mass 0.252 kg ) is moving toward puck B (with mass 0.371 kg ), which is initially at rest. After the collision, puck A has velocity 0.125 m/s to the left, and puck B has velocity 0.655 m/s to the right. Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.
On a frictionless horizontal air table, puck A (with mass 0.252 kg ) is moving toward puck B (with mass 0.373 kg ), which is initially at rest. After the collision, puck A has velocity 0.125 m/s to the left, and puck B has velocity 0.652 m/s to the right. Part A What was the speed vAi of puck A before the collision? vAi = m/s SubmitHintsMy AnswersGive UpReview Part Part B Calculate ΔK, the change in the total kinetic...
On a frictionless, horizontal air table, puck A (with mass 0.250 kg) is moving toward puck B (with mass 0.300 kg), which is initially at rest. After the collision, puck A has a velocity of 0.150 m/s to the left, and puck B has a velocity of 0.640 m/s to the right. What was the speed of puck A before the collision?
On a frictionless horizontal air table, puck A (with mass 0.245 kg ) is moving toward puck B (with mass 0.370 kg ), which is initially at rest. After the collision, puck A has velocity 0.118 m/s to the left, and puck B has velocity 0.647 m/s to the right. What was the speed vAi of puck A before the collision? Calculate ΔK the change in the total kinetic energy of the system that occurs during the collision.
On a frictionless horizontal air table, puck A (with mass 0.249 kg ) is moving toward puck B (with mass 0.369 kg ), which is initially at rest. After the collision, puck A has velocity 0.124 m/s to the left, and puck B has velocity 0.653 m/s to the right. A.What was the speed vAi of puck A before the collision? B.Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.