Gradebook 1 1/13/2017 07:00 PM -Print 18.8/25 a Calculator -+-Periodic Table Que

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Gradebook 1 1/13/2017 07:00 PM -Print 18.8/25 a Calculator -+-Periodic Table Question 14 of 14 Mapa Sapling Learning 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 two passions.* On one occasion, the Skate, with a mass of 125 kg, including his armor, hurled himself against a 865-kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at 1.71 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 out on his Bounce-Tex before colliding with the Washington Monument in a will miss him. this brief bio of Nate the Skate is written in the past tense, because not long ago he forgot to ashington Monumen forgot to t in a perfectly inelastic collision. We Exit O Previous Give Up & View Solution O check Answer . Next

Explanation / Answer

Given,

m1 = 125 kg ; m2 = 865 kg ; v2 = 1.71 m/s

Let u1 and v1 be the intial and final velocity if Nate.

We know from conservation of momentum

m1 u1 + m2 u2 = m1 v1 + m2 v2

Also, u1 - u2 = v2 - v1

125 u1 + 865 x 0 = 125 v1 + 865 x 1.71

125 u1 = 125 v1 + 1479.15 (1)

u1 - 0 = 1.71 - v1

v1 = 1.71 - u1

putting this in (1)

125 u1 = 125 (1.71 - u1) + 1479.15

125 u1 = 213.75 - 125 u1 + 1479.15

250 u1 = 1692.9 => u1 = 1692.9/250 = 6.772 m/s

v1 = 1.71 - u1 = 1.71 - 6.772 = -5.062 m/s

Hence. u1 = 6.772 m/s (before) ; v1 = -5.062 m/s (after)

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