A250-kg crate is on a rough ramp, inclined at 30° above the horizontal. the coefficient of kinetic friction between the crate and ramp is 0.22. a horizontal force of 5000 n is applied to the crate, pushing it up the ramp. what is the acceleration of the crate?

The acceleration of crate is .

Explanation:

Given data:

Mass of crate is, .

Angle of inclination is, .

The coefficient of kinetic friction between crate and ramp is, .

Magnitude of horizontal force is, .

In an inclined plane, the net force acting on the crate is given as,

Here, a is the linear acceleration and g is the gravitational acceleration.

f is the frictional force in an inclined plane and its value is,

N is the normal reaction acting on crate in an inclined plane and its value is,

Then frictional force is,

Then acceleration is,

Thus, the acceleration of crate is .

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Explanation:

We are given that

Mass of crate=250 kg

Coefficient of kinetic friction between the crate and ramp=0.22

Horizontal force applied on the crate=5000 N

We have to find the acceleration of the crate.

The normal force acting on the crate

The friction force acting against the motion of crate=

According to newton's second law, the net force accelerating the crate

Hence, the acceleration of the crate=