Nate the Skate was an avid physics student whose main non-physics interest in li

Question

Nate the Skate was an avid physics student whose main non-physics interest in life was high-speed skateboarding. In particular, Nate would often don a protective suit of Bounce-Tex, which he invented, and after working up a high speed on his skateboard, would collide with some object. In this way, he got a gut feel for the physical properties of collisions and succeeded in combining his two passions.* On one occasion, the Skate, with a mass of 123 kg, including his armor, hurled himself against a 819-kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at 1.17 m/s and Nate bounced backward. What were Nate's speeds immediately before and after the collision? (Enter positive numbers.) Ignore friction with the ground.

Before:

After:

Thank you!!

Explanation / Answer

As initial velocity of Skate is not given u1=0.

final = v1(let)

Initial velocity of statue i.e u2=0

v2= 1.17 from conservation of linear momentum .

m1u1+m2u2=m1v1+m2v2

123*0 + 819*0 = 123 * v1 + 819* 1.17

v1=7.79 m/ s in opposite direction.

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