Question

Asked Oct 13, 2019

Suppose you have a 150-kg wooden crate resting on a wood floor. The coefficients of static and kinetic friction here are μ_{s}=0.5 and μ_{k}=0.3.

*m* = 150 kg

**a.) **What maximum force, in newtons, can you exert horizontally on the crate without moving it?

**b.) ** If you continue to exert this force once the crate starts to slip, what will its acceleration be, in meters per square second?

Step 1

(a)

The max frictional force exerted horizontally on the crate and the floor is,

Substitute the values,

Step 2

(b)

The dynamic friction of the force exerted on the crate is,

Substitute the values,

Step 3

The acceleration due to dynamic friction is given by,

Substitute the values, to find the acceleration of the carts slips,

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