A 2.0kg wooden box slides down a vertical wood wall while you push on it at a 45 angle. Assume there is no friction. What magnitude of force should you apply to cause the box to slide down at a...

A 2.0kg wooden box slides down a vertical wood wall while you push on it at a 45 angle.

Assume there is no friction.

What magnitude of force should you apply to cause the box to slide down at a constant speed?

Asked on by cjopson

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

When you push the wooden box with a force the vertical component of the force will keep it moving upwards.So to move the box at a constant speed vertically upward the forces act on it will be equal at the direction of motion.

The motion is vertical.

The weight of the box act downward.

The vertical component of the force(F) act upward.

So these two should be equal.

`darr2*g = uarrF*cos45`

`F = 27.75N`

 

So we need a 27.75N of force at an angle of 45 deg to push the box upward with constant speed.

 

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