Map ling learning Nate the Skate was an avid skateboarding. In particular, Nate
ID: 1460238 • Letter: M
Question
Map ling learning Nate the Skate was an avid 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 119 kg, including his armor, hurled himself against a 847-kg stationary stàtue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at 1.77 m/s and Nate bounced backward. What were Nate's speeds immediately before and after the colision? (Enter positive numbers.) Ignore friction with the ground student whose main non-physics interest in life was high-speed Before: Number m/s After Number m/s By the way, this brief bio of Nate the Skate is written in the past tense, because not long ago he forgot to on his Bounce-Tex before colliding with the Washington Monument in a perfectly inelastic collision. We will miss him. Hint sbout us sreers partners privacy policy terms of use contact uExplanation / Answer
m1 = 119 kg m2 = 847 kg
speeds before collision
u1 = ? m/s u2 = 0 m/s
speeds after collision
v1 = ? v2 = 1.77
initial momentum before collision
Pi = m1*u1 + m2*u2
after collision final momentum
Pf = m1*v1 + m2*v2
from moentum conservation
total momentum is conserved
Pf = Pi
m1*u1 + m2*u2 = m1*v1 + m2*v2
(119*u1) + (847*0) = (119*v1) + (847*1.77).....(1)
from energy conservation
total kinetic energy before collision = total kinetic energy after collision
KEi = 0.5*m1*u1^2 + 0.5*m2*u2^2
KEf = 0.5*m1*v1^2 + 0.5*m2*v2^2
KEi = KEf
0.5*m1*u1^2 + 0.5*m2*u2^2 = 0.5*m1*v1^2 + 0.5*m2*v2^2
0.5*119*u1^2 + 0.5*847*0^2 = 0.5*119*v1^2 + 0.5*847*1.77^2 ........(2)
u1 = 7.18 m/s <---------------answer
after collision
v1 = -5.414 m/s <<------answer