A child tries to move his toy box by pulling on a rope at an angle θ of 42° with respect to the horizontal. The box together with the toys it contains weighs 180 N, the coefficient of static friction between the box and the ground is 0.42.

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A child tries to move his toy box by pulling on a
rope at an angle θ of 42° with respect to the horizontal. The box together with the toys it contains weighs 180 N, the coefficient of static friction between the box and the ground is 0.42.
a) Draw a free-body diagram of the box showing all the forces to which it is subjected.
b) What will be the force that the child must exert on the string to set the box in motion?
c) Knowing that the coefficient of kinetic friction is 0.28, what will be the value of the minimum force that the child must apply to the rope so that the box keeps moving?

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