A person is pushing, with a force of 2,168.7 N, a 294.5 kg couch up a ramp that is inclined at an angle of 11.6 deg. from the horizontal. If the coefficient of kinetic friction is 0.2, then what is the couch's acceleration?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter4: Forces In One Dimension
Section4.1: Force And Motion
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A person is pushing, with a force of 2,168.7 N, a 294.5 kg couch up a ramp that is inclined at an angle of 11.6 deg. from the horizontal. If the coefficient of kinetic friction is 0.2, then what is the couch's acceleration?

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Step 1

Consider F as the force with which the person is pushing the couch, W=mg as the weight of the couch, N as the normal force and f as the friction force. Draw the free body diagram for the forces acting on the couch.

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