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te is trying to set up an elaborate trap to catch the Roadrunner and he needs yo

ID: 2032489 • Letter: T

Question

te is trying to set up an elaborate trap to catch the Roadrunner and he needs your help. He needs to movea rock has a mass of 52 kg. Tell Wile B 7. Wile E. Coyo rock on an inclined plane, shown below. The plane is inclined at an angle of 35°. The what he needs to know for each of the situations listed below. Assume that Wile E pushes parallel to the slope of the inclined plane (ie at 3' to the horizonal), For each part, draw e freebody diagram showing the forces acting on the rock. (a) Despite his best effort, the rock is sliding down the ramp at a rate of 15 cm/s' even with him pushing it up the ramp. Determine how hard Wile E is pushing on the rock for it to slide down the ramp at this rate. For this part, assume friction is negligible. rock for it to slide up the ramp at this rate. pushing on it. (b) Suppose that the rock moves up the ramp at a constant rate of 10 em/s. Determine how hard Wile E. is pushing on the (c) Determine the coefficient of kinetic friction if the rock slides down the ramp at a rate of 51 cm/s when Wile E. in not

Explanation / Answer

m=52 kg

using newton's second law of motion

angle is t

F=m(g sint - a)

F=52 (9.81 sin35 - 0.15)

F=284.494 Newton

(b) If the acceleration is 10 cm/s2 upwards,

F-mg sint = ma

F=52 (9.81 sin35 + 0.1)

F=297.494 Newton

(c) a=51 cm/s2

N=mg cos t

introducing u as the coefficient of friction

mg sint-umg cost = ma

u=gsint-a / g cost

u=0.636.