Gradebook Print Calculator Periodic Table Question 11 of 19 Sapling Learning Nat
ID: 1780535 • Letter: G
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Gradebook Print Calculator Periodic Table Question 11 of 19 Sapling Learning Nate the Skate was an avid physics student whose main non-physics interest in life was high-speed 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 121 kg, including his armor, hurled If against a 853-kg stationary ly elastic linear collision. As a result, Isaac started at 1.17 m/s and Nate bounced backward. hat were Nate's speeds immediately before and after the collision? 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-Tex before colliding with the Washington Monument in a perfectly inelastic collision. We will miss him Next -el Exit Check Answer O Previous ? HintExplanation / Answer
By conservation of momentum
m1u1 + m2u2 = m1v1 + m2v2
u1 - u2 = v2 - v1
where
m1 = mass 1 = 121 kg
m2 = mass 2 = 853 kg
u1 = speed of mass 1 before collision = ?
u2 = speed of mass 2 before collision = 0 m/s
v1 = speed of mass 1 after collision = ?
v2 = speed of mass 2 before collision = 1.17 m/s
so
121u1 + 853*0 = 121v1 + 853*1.17
121u1 = 121v1 + 998.01 eq1
u1 - 0 = 1.17 - v1 eq2
substitute eq2 in eq1,
121(1.17 - v1) = 121v1 + 998.01
121*1.17 - 121v1 = 121v1 + 998.01
v1 = (121*1.17 - 998.01)/(121+121)
= -3.54 m/s
Substitute that value in (equation 2)
u1 = 1.17 - (- 3.54) = 4.71 m/s
Answer:
Nate's speed immediately before the collision is 4.71 m/s (forwards)
Nate's speed immediately after the collision is 3.54 m/s (backwards)
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