Mapod Sapling Learning macmillan learning Nate the Skate was an avid physics stu
ID: 1583607 • Letter: M
Question
Mapod Sapling Learning macmillan learning Nate the Skate was an avid physics student whose main non-physics interest in life was high-speed skateboarding. In particular, Náte 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 125 kg, including his armor, hurled himself against a 835-kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at 1.33 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 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 put on his Bounce- onument in a perfectly inelastic collision. We will miss him. Tex before colliding with the Washington M Previous Give Up & View Solution e Check Answer Next Exit HintExplanation / Answer
We need to use:
M×U + M×U = M×V + M×V
and
U - U = V - V
where
M = mass 1 = 125 kg
M = mass 2 = 835 kg
U = speed of mass 1 before collision = ?
U = speed of mass 2 before collision = 0 m/s
V = speed of mass 1 after collision = ?
V = speed of mass 2 before collision = 1.33 m/s
so
125×U + 835×0 = 125×V + 835×1.33
125×U = 125×V + 1110.55 . . . . . . . .(equation 1)
and
U - 0 = 1.33 - V
U = 1.33 - V . . . . . . . . . . . . . . . . . . (equation 2)
substitute (equation 2) in (equation 1)
125×(1.33 - V) = 125×V + 1110.55
166.25 - 125×V = 125×V + 1110.55
V = - 3.777 m/s
substitute that value in (equation 2)
U = 1.33 - (- 3.777)
U = 5.107 m/s
Answer:
Nate's speed immediately before the collision is 5.107 m/s (forwards)
Nate's speed immediately after the collision is 3.777 m/s (backwards)