A bicycle and rider with mass m rolls down a hill at constant velocity under the

Question

A bicycle and rider with mass m rolls down a hill at constant velocity under the influence of gravity with negligible rolling resistance. The hill makes an angle of = 11 degrees with respect to the horizontal. The force of air resistance, termed "drag", has a magnitude of Fd = 79 N. Assume that the x-direction is parallel to the slope of the hill and the y-direction is perpendicular to the hill as shown.  

Part (a) What is the sum of the forces in the y direction, Fy in Newtons?

Part (b) Input an expression for the sum of the forces in the x-direction, Fx, in terms of the quantities given and variables available in the palette.

Part (c) Using the information above, what is the total mass of the bike and rider m in kg?

Explanation / Answer

a) Fy = mgsin11 - 79 = 0 ( as the body is moving with constant velocity)

b) Fx= mg cos 11

c) mgsin11 - 79 = 0

m( 9,8) (0.19) = 79

m= 42.427 kg apprx

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