An object with a mass of 10 kg is initially at rest at the top of a frictionless

Question

An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises at 30 An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises at 30 An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises at 30 An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises at 30 degree above the horizontal. At the top, the object is initially 8.0 m from the bottom of the incline, as shown in the figure. When the object is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the object is 0.20, and air resistance is negligible. Find the distance d.

Explanation / Answer

v = sqrt(2*9.8*8sin(30)) = 8.854

ma = mu*mg

a = 0.2*9.8

v^2 = 2as

s = 8.854^2/(2*0.2*9.8) = 20 m

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