In: Physics
a. A ball is traveling towards another ball which is at rest. The ball that is traveling has a speed of 3.5 m/s and weighs 22 g. The ball that is at rest weighs 27 g. There is a head on elastic collision between the balls. What is the velocity of each ball after the collision?
b. A dog sled is sliding down a hill. The sled starts from a height of 25 m and has a weight of 66 kg. It collides with a person at the bottom of the hill. The person weighs 72 kg. The collision is completely inelastic. Friction can be ignored due to icy conditions. Determine the speed of the sled and the person after the collision.
Answer: Let,velocity of ball which weighs 22g is v1 and velocity of ball which weighs 27 g is V2.
Applying conservation of momentum,
-----------------(1)
as collision is elastic,
-------------------(2)
solving equations (1) and (2), we get
,
Answer:Let common velocity of dog and person is v.
Given, mass of dog m1 = 66 kg,mass of person m2=72 kg,
Velocity of dog sled is
Applying conservation of momentum,