A 5.00 g object moving to the right at 20.0 cm/s makes an elastic head-on collision with a 10.0 g object that is initially at rest. (a) Find the velocity of each object after the collision. -6.67 Correct: Your answer is correct. cm/s (5.00 g object) 13.33 Correct: Your answer is correct. cm/s (10.0 g object) (b) Find the fraction of the initial kinetic energy transferred to the 10.0 g object. 88.44 Correct: Your answer is correct. %

a)

b)  

Explanation:

a) Applying the conservation of momentum, we have:

p(i) is the initial momentum. In our case is due to the 5 g object.

p(f) is the final momentum. Here, both objects contribute.

Where:

To find both final velocities we will need another equation, let's use the conservation of kinetic energy.

So we have a system of equations:

 (1)

(2)

Solving this system we get:            

b) The  fraction of the initial kinetic energy transferred is:

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