A toy truck rolls down a ramp at a constant velocity. The truck\'s mass is m = 1

Question

A toy truck rolls down a ramp at a constant velocity. The truck's mass is m = 1.6 kg and the ramp makes an angle of theta = 19 degrees with respect to the horizontal. Assume the rolling resistance is negligible. What is the numeric value for the sum of the forces in the x-direction, sigma F_x, in Newtons? Assuming the truck experiences only air resistance in opposition to its motion, with magnitude Fr. Write an expression for the sum of the forces in the x-direction using the acceleration due to gravity, g, and the variables provided. What is the magnitude of the force caused by air resistance, Fr in Newtons? (Maintain the assumption that the truck's velocity is constant.)

Explanation / Answer

part a) as the truck is rolling down with constant velocity

acceleration of truck is Zero

part b)

as the acceleration is zero

the numeric value for the sum of forces is 0

part c)

for the forces in x direction

Fr - m * g * sin(theta) = 0

part d)

putting values in the above equation

Fr = 1.6 * 9.8 * sin(19 degree)

Fr = 5.105 N

the magnitude of force caused by air resistance is 5.105 N

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