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 ?? = 0.4 and ?? = 0.2. Problem 1: For the following questions (a-d), consider that the child has climbed into the box, but it has not yet started moving. a. What is the magnitude of the weight (also known as the gravitational force) acting on the box + child system? b. What is the magnitude of the normal force acting on the box? c. What is the reaction force associated with the normal force in part (b)?

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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 ?? = 0.4 and ?? = 0.2.

Problem 1: For the following questions (a-d), consider that the child has climbed into the box, but it has
not yet started moving.


a. What is the magnitude of the weight (also known as the gravitational force) acting on the box + child system?

b. What is the magnitude of the normal force acting on the box?

c. What is the reaction force associated with the normal force in part (b)?

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