worked solution is highly appreciable Map d Nate the Skate was an avid physics s

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worked solution is highly appreciable

Map d 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 113 kg, including his armor, hurled himself against a 841-kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at 1.95 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 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 will miss him. Tex before colliding with the Washington Monument in a perfectly inelastic collision. We

Explanation / Answer

Solution:

Using law of conservation of linear momentum.

=> m1 x u1 + m2 x u2 = m1 x v1 + m2 x v2

Taking mass m1 = 113 kg and m2 = 841 kg

=> 113 x u1 + m2 x 0 = 113 x v1 + 841 x 1.95

=> 113 x u1 = 113 v1 + 1639.95 .............(i)

Now putting u1 = 1.95 - v1 ................(ii)

Substituting the value of u1 in equation (i)

=> 113(1.95 - v1) = 113 x v1 + 1639.95

=> 220.35 - 113 x v1 = 113 x v1 + 1639.95

=> 220.35 - 1639.95 = 113 x v1 + 113 x v1

=> -1419.6 = 226 x v1

=> v1 = - 6.281 m/s

Now substituting the value of v1 in equation (2)

=> u1 = 1.95 - v1

=> u1 = 1.95 - (-6.281)

=> u1 = 8.231 m/s

So, speed before the collision = 8.231 m/s

and Speed after the collision = -6.281 m/s

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