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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 117 kg, including his armor, hurled himself against a
879 kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at 1.63 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.

Nate the Skate was an avid physics student whose main nonphysics interest in life was highspeed skateboarding In particular Nate would often don a protective su class=

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Answer:

Explanation:

The statue, being initially at rest, will move off at twice the velocity of the center of mass of the Skate-Statue system

The CM velocity is 1.63/2 = 0.815 m/s

so the Skates initial velocity can be found

(117 + 879)(0.815) = 879(0) + 117u

u = 6.93794...

|u| = 6.94 m/s

for elastic collisions, the relative velocity of approach will equal the relative velocity of departure.

Approach velocity 6.94 m/s

Skate's departure velocity 1.63 - 6.94 = - 5.31 m/s

|v| = 5.31 m/s

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