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An aluminum wheelchair with rider has a mass m=130kg and is half way up a ramp t

ID: 1655652 • Letter: A

Question

An aluminum wheelchair with rider has a mass m=130kg and is half way up a ramp that is tilted at an angle of 27 degrees. It is parked there, with brakes on, and is not moving. Which forces are acting on the wheelchair with rider? a. Weight b. Tension c. Normal d. Spring e. Friction f. Air Drag g. Magnetic Draw a free body diagram. What is the magnitude of the gravitational force component ALONG the ramp (i.e., NOT horizontal, NOT vertical, but along the path of the chair.) What is the magnitude of the gravitational force component NORMAL to the ramp (i.e., NOT horizontal, NOT vertical, but pushing the chair INTO the ramp.) What is the NET force on the chair? (Magnitude and direction)

Explanation / Answer

4)the forces acting on the wheel chair are weight and friction

(a) and (e)

6)gravtitational force along the ramp=mgsin27=130*9.8*sin27=578.38N

7)gravitational force normal to incline=mgcos27=130*9.8*cos27=1135.14 N

8) since the wheelchair is not moving,the net force on wheelchair us zero.

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