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 129 kg, including his armor, hurled himself against a 803-kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, lsaac started moving at 1.09 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: Number m/ s After: Number m/s Tools x102

Explanation / Answer

for elastic collision,

velocity of approach = velocity of separation

vi = 1.09 + vf

vi - vf = 1.09

Applying momentum conservation,

129vi + 0 = - 129vf + (803 x 1.09)

vi + vf = 6.785

before : vi = 3.94 m/s

after : vf = 2.94 m/s

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