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Chapter 1: Q9DQ (page 159)

A crate slides up an inclined ramp and then slides down the ramp after momentarily stopping near the top. There is kinetic friction between the surface of the ramp and the crate. Which is greater? (i) The crate鈥檚 acceleration going up the ramp; (ii) the crate鈥檚 acceleration going down the ramp; (iii) both are the same. Explain.

Short Answer

Expert verified

The greater acceleration is when (i) the crate鈥檚 acceleration going up the ramp.

Step by step solution

01

Significance of the friction

The friction is described as the force that resists the relative motion of the solid surfaces. The frictional force is equal to the product of the frictional coefficient and the normal force.

02

Determination of the greater acceleration

When the crate is going up the ramp, the frictional force is working at the same direction of the weight鈥檚 component of the block. When the crate is going down the ramp, the frictional force is working at the opposite direction of the weight鈥檚 component of the block. Hence, as the frictional force acts in the opposite direction, the acceleration of the block while going downwards is lesser.

Thus, the greater acceleration is when (i) the crate鈥檚 acceleration going up the ramp.

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