1. A child starts sledding from rest, going down a 40 m long 7.5° incline, then coasting across a horizontal stretch. The mass of the sled + child is 35 kg, and the coefficient of kinetic friction is 0.060.
a. Make force diagrams for the sled + child on both the hill and the horizontal stretch.
b. Resolve the weight of the sled + child along and perpendicular to the plane.
c. Determine the reaction force on the sled + child.
d. Determine the speed of the sled + child at the bottom of the incline.
e. How far along the horizontal stretch does the sled + child travel before stopping?
h. Determine how much work is done on the sled + child by the gravitational force while the child + sled is moving along the incline.
i. By considering the energy of the system and energy transformations, determine the speed of the sled + child at the bottom of the incline. Does your answer agree with part d?
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