estion 9 of 17 Sapling Learning Map Nate the Skate was an avid physics student w

Question

estion 9 of 17 Sapling Learning Map 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 passions. On one occasion, the Skate, with a mass of 125 kg, including his armor, hurled himself against a 883-kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, moving at 1.57 m/s Isaac started positive numbers.) backward. What Nate's speeds immediately before and after the collision? Enter Ignore friction with the ground. Before: Number After: Number about us careers partners privacy policy terms of use contact us help

Explanation / Answer

Let v1 be the final and u1 be the intial speed.

from conservation of momentum

m1u1 + m2u2 = m1v1 + m2v2

125 x u1 + 883 x 0 = 125 x v1 + 883 x 1.57

125 u1 = 125 v1 + 1386.31

(u1 - v1) = 11.1

u1 - 0 = 1.57 - v1

u1 = 1.57 - v1

(1.57 - v1 - v1) = 11.1

v1 = -4.765 m/s

u1 = 1.57 - (-4.765) = 6.335 m/s

Hence, u1 = 6.335 m/s

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