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 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 111 kg including his armor hurled himself against a 817 ? kg stationary statue of Isaac Newton in a perfectly elastic linear collision As a result Isaac started moving at 1.51 m/s and Nate bounced backward What were Nate?s speed immediately before and after the collision? (Enter positive numbers ) ignore friction with ground By the way this brief bio of Note the Skate is written in the past tense because not ago he forget to put on his Bounce Tex before colliding with the Washington Monument in a perfectly inelastic collusion We will miss him

Explanation / Answer

Let the speed of nate before was u

after the collision is v

then , using conservation of momenutm ,

111u = 817 * 1.51 + 111v ------(1)

for elastic collision , e = 1

1 = (1.51- v) / u

1.51 - v = u   ------(2)

solving 1 and 2

u = 6.31 m/s

v =-4.8 m/s

the speed before collision was 6.31 m/s

after the collision was 4.8 m/s

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