Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary has begun to slide downhill in the box. (If you find that it should stay at rest at the top of the hill, you can assume that it has been given a brief push to start moving). a. What is the magnitude of the net force acting on the box and child system? b. What is the magnitude of acceleration of the box? c. Compare how the Mary perceives her weight at the top of the hill and as the box slides downhill. As she slides down the hill, does he feel lighter, heavier, or the same as she did at the top?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.44P
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 Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary has begun to slide downhill in the box. (If you find that it should stay at rest at the top of the hill, you can assume that it has been given a brief push to start moving).

a. What is the magnitude of the net force acting on the box and child system?
b. What is the magnitude of acceleration of the box?
c. Compare how the Mary perceives her weight at the top of the hill and as the box slides downhill. As she slides down the hill, does he feel lighter, heavier, or the same as she did at the top?

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