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=

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min