A child is playing on a hill with a cardboard box. The combined mass of child and box is ? = 120 kg. He climbs into box, which is initially at rest, at the top of the hill. The hill is inclined at an angle of 30 degrees with respect to the horizontal. The coefficients of static and kinetic friction between the box and the hill are mu s = 0.4 and mu k = 0.2.  consider that the box (with child inside) has begun to slide down the hill (you can assume that it has been given a brief push to get it started moving) What is the magnitude of the net force acting on the box + child system? b. What is the magnitude of the acceleration of the box?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
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A child is playing on a hill with a cardboard box. The combined mass of child and box is ? = 120 kg. He climbs into box, which is initially at rest, at the top of the hill. The hill is inclined at an angle of 30 degrees with respect to the horizontal. The coefficients of static and kinetic friction between the box and the hill are mu s = 0.4 and mu k = 0.2. 

consider that the box (with child inside) has begun to slide down the hill (you can assume that it has been given a brief push to get it started moving)

What is the magnitude of the net force acting on the box + child system? b. What is the magnitude of the acceleration of the box?

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