Answered: In the figure, the girl on the sled,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

In the figure, the girl on the sled, weighing 70 lb, leaves point A from rest and goes down a 2% icy slope (assume no friction). She collides with her friend, weighing 60 lb, at point B, 200 feet down the slope. After colliding, they travel together down the slope on the sled. The slope is maintained, but the ice is a little rougher, with a coefficient of friction of μk = 0.15. a) How fast will they be moving immediately after they collide? b) Will they come to a stop after the collision? If so, how far will they travel until they do? If not, what will their acceleration be?

Expert Solution

Step 1

Given:

Mass of the girl = m₁ = 70 lb = 31.75 kg

Mass of her friend = m₂ = 60 lb = 27.21 kg

Inclination angle = 2% = 2/100 $\times 90 ° = 1.8 °$

Distance AB = 200 ft = 60.96 m

Coefficient of friction after B = 0.15

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