Map sapling earning ite the Skate was an avid physics student whose main non-phy
ID: 1365316 • Letter: M
Question
Map sapling earning ite 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 113 kg, including his armor, hurled himself against a 895-kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at 1.41 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 After Number *By the way, this brief bio of Nate the Skate is written in the past tense, because not long ago he forgot to put on his Bounce-Tex before colliding with the Washington Monument in a perfectly inelastic collision. We will miss himExplanation / Answer
initial speed is u and after collision speed is v then .
for elastic collision,
velocity of approach = velocity of seperation.
u + 0 = v1 + 1.41
u = v1 + 1.41
Using momentum conservation,
initial momentum = final momentum
113 x u + 895 x 0 = 113 x -v1 + 895x1.41
113 ( v1 + 1.41) + 113v1 = 1261.95
v1 = 4.88 m/s ...............Speed after collision
Speed before the collision,
u = 1.41 + v1 =6.25 m/s