Read sections 6.1-6.3 of the book. Pay special attention to example 6.4, 6.5 Bel

Question

Read sections 6.1-6.3 of the book. Pay special attention to example 6.4, 6.5 Below is a schematie for the following scenario. A launcher fires a projectile horizontally. A catcher, connected to a pendulum arm, catches the projectile. The pendulum arm (including the catcher) and projectile then swing upwards together Projectile Catcher 1. Hint for this question How does change in momentum relate to net force For the interval of time starting a microsecond before the projectile reaches the catcher (left) to the microsecond after the projectile reaches the catcher (middle): a. does the ball change momentum? If so, what is the direction of Ap (left, right, up down)? b. does the pendulum arm change momentum? If so, what is the direction of Ap? NO Fner O c. does the system of the pendulum arm and ball change momentum? If so, what is the direction of Ap? yes, +o the right 2. For the same interval as #1 : a. does the ball change kinetic energy? If so, does it increase or decrease? Yes, clecreast b. does the pendulum arm change kinetic energy? If so, does it increase or decrease? yes, increase. c. does the system of the pendulum arm and ball change kinetic energy? If so, does it increase or decrease? Hint - is there a very large external force acting on the ball + pendulum that could do work on them, or a non-conservative interaction between the ball and pendulum?

Explanation / Answer

Question 1.

Part (a) Yes. The ball will change momentum and direction of the change in momentum will be towards left.

Part(b) Yes, Pendulum arm will also change in momentum. Direction of change in momentum will towards right.

Part (c) No, The momentum of the arm and ball system will not change as the net external force on the ball and arm system in zero.

Question 2

Part (a) Yes. the kinetic energy will decrease.

Part (b) Yes, the kinetic energy of the arm will increase.

Part (c) Yes, the kinetic energy will decrease due to non conservative interacting forces acting on the ball during the collision.

Question 3

Part (a) Yes, Force of gravity is acting on the system.

Part (b) Yes. It will change. Its direction will be in the direction of external force(gravity) acting on the system. that means its directions will be vertically downward.

Part (c) The friction force acting on the hinge of the pendulum is non conservative in nature.

Part (d) Mechanical energy of the system will be conserved if the non conservative frictional force on the hinge is absent.

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