Answered: Skier is 73kg and descends at 41 degree…

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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Skier is 73kg and descends at 41 degree slope. Coefficient of kinetic friction is 0.08

wgat is acceleration

what is speed after 4 sec

how far has he gone in 4 sec

Expert Solution

Step 1 Free body diagram

Free body diagram of skier is as follows:

Equation of motion of skier is as follows:

$m a = m g \sin θ - F_{f} w h e r e, F_{f} = μ_{k} N N = m g \cos θ F_{f} = μ_{k} m g \cos θ H e n c e, m a = m g \sin θ - μ_{k} m g \cos θ 1) a = g \sin θ - μ_{k} g \cos θ 2)$

Equation of kinematics is as follows:

$v = v_{o} + a t 3) d = v_{o} t + \frac{1}{2} a t^{2} 4) w h e r e, v_{o} = i n i t i a l s p e e d a = a c c e l e r a t i o n t = t i m e v = s p e e d a t t i m e t d = d i s p l a c e m e n t o f a n o b j e c t$

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