Question

A 15.0 kg penguin waddling east at a velocity of 7.0 m/s collides with a stationary 10.0 kg penguin. After the collision the 15.0 kg penguin is traveling at a velocity of 4.2 m/s 20.0o S of E.
a. What is the velocity of the 10.0 kg penguin after collision?
b. is this collision elastic or inelastic?

Answer 1

The velocity of the 10.0kg stationary penguin after collision with a 15.0 kg penguin which has a velocity of 7.0m/s is 4.2m/s and the collision is inelastic.

Whether it is an elastic or nonelastic collision is the momentum of the system will remain the same, which is also known as the law of conservation of momentum

m1v1+m2v2 = m1u1+m2u2

where,

m1 = mass of the first object

m2= mass of the second object

v1= velocity of the first object before the collision

v2=velocity of the second object before the collision

u1=velocity of the first object after collision

u2=velocity of the second object after collision

So,

15×7 +10×0 = 15×4.2 +10×u2

⇒105 = 63 + 10×u2

⇒u2 = 4.2

Since in this whole process the loss of kinetic energy is happening via the form of heat, light, and sound so it is an inelastic collision

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