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Question 1 A particle moving in the xy plane undergoes a displacement given by r=9 i + 8 j as a constant force F= 9

Question 1

A particle moving in the xy plane undergoes a displacement given by

r=9 i + 8 j

as a constant force

F= 9 i + 1 j

Calculate the work done by the given force on the particle.

Question 2

Two identical moving balls collide along a horizontal axis. Assume the collision is elastic and the initial velocity of the first ball is 6 m/s and its final velocity is 7 m/s. Find the final velocity of the second ball if its initial velocity is 1 m/s.

Hint: use conservation of momentum equation

Question 3

A wheel rotates with a constant angular acceleration of 8 rad/s2. What is the angular velocity of the wheel after 6 seconds if its initial angular velocity is 8 rad/s?

Question 4

An object of mass 1 kg is moving in one dimension with a speed of 4 m/s. Its kinetic energy is given as

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