A 2.0-kg block is on a perfectly smooth (frictionless) ramp that makes an angle of 30^/circ30 ∘ with the horizontal. What is the force of the ramp on the block?

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Physics

Erica Rich

Today, 07:43

A 2.0-kg block is on a perfectly smooth (frictionless) ramp that makes an angle of 30^/circ30 ∘ with the horizontal. What is the force of the ramp on the block?

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Amy Lucas · Answer 1

Since the surface is frictionless therefore there will be no friction force on block but there will be weight of block which we can divide in to two components i. e. mgcosθ &mgsinθ which is perpendicular and parallel to the surface respectively.

In response to mgcosθ ramp will apply a normal force to the block which will be of equal magnitude to that of mgcosθ.

Therefore Ramp will apply a Force of mgcosθ on block where m is the mass of block.