Starting from rest, a crate of mass m is pushed up a frictionless slope of angle theta by a horizontal force of magnitude F. Use work and energy to find an expression for the crate's speed v when it is at height h above the bottom of the slope. Express your answer in terms of the variables m, F, theta, h, and free fall acceleration g v=

Question

Physics

Quinn Chen

15 June, 22:17

Starting from rest, a crate of mass m is pushed up a frictionless slope of angle theta by a horizontal force of magnitude F. Use work and energy to find an expression for the crate's speed v when it is at height h above the bottom of the slope. Express your answer in terms of the variables m, F, theta, h, and free fall acceleration g v=

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Answers (1)

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Everett Barker · Answer 1

v = sqrt[2 * (F*h*cot (theta) - mgh) / m]

Explanation:

Work = KE + Ug

F*r=1/2mv^2+mgh

1/2mv^2=F*r-mgh

v=sqrt[2 (F*r-mgh) / m]

r=h/tan (theta) = h*cot (theta)