Question

Question1) A car moving North at 12 m/s strikes a stationary car of equal mass. The first car moves off after the collision at an angle of 30° East of North with a speed of 8.0 m/s.
a.   What is the velocity of the struck car just after the collision?
b.   Show that the collision is inelastic.
c.   Explain how dents, skid marks, etc. show that kinetic energy has been lost.
d.   If the collision were perfectly elastic, what would the speeds of the cars be after the collision if the first car moved off at the same 30° angle?

Question2) A steel ball of mass 10 kg moves due East at 5.0 m/s. It collides with a rubber ball of mass 5.0 kg moving at 10 m/s due North. After the collision the steel ball moves at an angle of 60° East of North with a speed of 4.0 m/s. What is the velocity of the rubber ball after the collision?

Question3) A ball of mass 3.0 kg moving at a speed of 3.0 m/s has a head-on collision with a stationary ball of mass 4.0 kg.
a.   If the collision were completely inelastic, what would be the speeds of the two balls after the collision?
b.   If the collision were perfectly elastic, what would be the speeds of the two balls after the collision?

Question 4)A child’s ball, of mass 250 g, rolls due East along the ground at 4.2 m/s towards a stationary bowling ball of mass 3.2 kg. After the collision, the bowling ball travels in a direction 32° South of East at 38.7 cm/s.
a.   What is the speed of the child’s ball after the collision?
b.   What is the direction in which the child’s ball travels after the collision?
c.   What fraction of the original kinetic energy is transformed to heat energy?

Answer 1