A 50 kg block is accelerating down a 40° incline. The coefficient offriction (u) between the block and the incline is 0.30. Draw the freebody diagram, label the forces, and calculate acceleration.H | AccesO 2020 College of NaQuest Learning & Assessment is provided

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Description: A 50 kg block is accelerating down a 40° incline. The coefficient offriction (u) between the block and the incline is 0.30. Draw the freebody diagram, label the forces, and calculate acceleration.H | AccesO 2020 College of NaQuest Learning & Assessm

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 38P: A 20.O-g ball hangs from the roof of a freight car by a string. When the freight car begins to move,...

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A 50 kg block is accelerating down a 40° incline. The coefficient of
friction (u) between the block and the incline is 0.30. Draw the free
body diagram, label the forces, and calculate acceleration.
H | Acces
O 2020 College of Na
Quest Learning & Assessment is provided

Expert Solution

Step 1

Given values -

$Mass = m = 50 kg Incline = θ = 40^{o} Coefficient of friction = μ = 0.30$

We have two component of weight -

One is parallel to the slope -

$W_{x} = mgsin 40^{o}$

Second is perpendicular to the slope -

$W_{y} = mgcos 40^{o}$

Step 2

Free body diagram of the problem -

Where,

$f_{f} = Friction force = μ f_{n} f_{n} = mg \cos 40^{o} Therefore, f_{f} = μ mg \cos 40^{o}$

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