A student does 60. joules of work pushing a 3.0-kilogram box up the full length of a ramp that is 5.0 meters long. What is the magnitude of the force applied to the box to do this work?

Respuesta :

Answer:

F= 12 N

Explanation:

Given that

Work done by student ,W= 60 J

The mass of the box ,m = 3 kg

Length ,x = 5 m

We know that ,The work done by a force a force F is given as

W= F .x

x=Displacement

F=Force

W=Work

Now by putting the values

60 = F x 5

[tex]F=\dfrac{60}{5}\ N[/tex]

F= 12 N

That is why the magnitude of the force will be 12 N.

The magnitude of the force applied to the box to do the work is 12 N

Definition of work

Workdone is defined as the product of force and distance moved in the direction of the force. Mathematically, it can be expressed as:

Workdone (Wd) = force (F) × distance (d)

Wd = Fd

With the above formula, we can obtain the force used to do the work.

Determination of the force

•Workdone (Wd) = 60 J

•Distance (d) = 5 m

•Force (F) =?

Wd = Fd

60 = F × 5

Divide both side by 5

F = 60 / 5

F = 12 N

Thus, 12 N is required to do the work.

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