Multiple choice questions 1. The plot in the figure shows the potential energy o

Question

Multiple choice questions 1. The plot in the figure shows the potential energy of a particle, due to the force exerted on it by another particle, as a function of distance. At which of the three points labeled in the figure is the magnitude of the force on the particle greatest? Distance 2. In an INELASTIC collision between two objects A) the momentum of each object is conserved B) the kinetic energy of each object is conserved. C) the momentum of the system is conserved but the kinetic energy of the system is not conserved. D) both the momentum and the kinetic energy of the system are conserved E) the kinetic energy of the system is conserved, but the momentum of the system is not conserved. 3, A shell explodes into two fragments, one fragment 25 times heavier than the other, if any gas from the explosion has negligible mass, then A) the momentum change of the lighter fragment is 25 times as great as the momentum change of the heavier fragment 8) the momentum change of the heavier fragment is 25 times as great as the momentum change of the lighter fragment C) the momentum change of the lighter fragment is exactly the same as the momentum change of the heavier fragment. D) the kinetic energy change of the heavier fragment is 25 times as great as the kinetic energy change of the lighter fragment E) the kinetic energy change of the lighter fragment is 25 times as great as the kinetic energy change of the heavier fragment 4. When a rigid body rotates about a fixed axis, all the points in the body have the same A) tangential speed B) angular acceleration C) tangential acceleration D) linear displacement 5. When you ride a bicydle, in what direction is the angular velocity of the wheels? to your left 8) to your right C) forwards D) backwards E) up 6. The teeth of the front and rear sprockets of the bike move with the same C) angular acceleration D) centripetal acceleration, A) tangential speed B) angular speed

Explanation / Answer

let masses m1, m2 , initial velocities u1,u2 and final velocities v1,v2

initial momentum of the system m1u1 +m2u2
final momentum of the system is m1v1+m2V2
conservation of momentun m1u1 +m2u2 = m1v1+m2V2
let m1 is moving with velocity u1, say m2 is at rest.after collision both stick together and moving with velocity v

momentum   before collision is m1u1 +m2*0 = (m1+m2) v

kinetic energy is not conserved definetly the energy is not conserved.not only in this example if the collision is in ealstic it satisfies

so option C is correct

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