Danny and Stacey have gone from the swing to the slide at the park. The slide is
ID: 2920009 • Letter: D
Question
Danny and Stacey have gone from the swing to the slide at the park. The slide is inclined at an angle of
a = 52.0°.
Danny weighs 36.0 pounds. He is sitting in a cardboard box with a piece of wax paper on the bottom. Stacey is at the top of the slide holding on to the cardboard box (see the figure below). Find the magnitude of the force Stacey must pull with, in order to keep Danny from sliding down the slide. (We are assuming that the wax paper makes the slide into a frictionless surface, so that the only force keeping Danny from sliding is the force with which Stacey pulls. Round your answer to one decimal place.)
Explanation / Answer
The force along the incline which make Danny slides is
F = mgsin(a) = 36 pounds * 9.8 m/s2 * sin(520) = 36 * 0.45 kg * 9.8 m/s2 * 0.788 = 125.1 N
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