A 3-kg object is moving at 5.0 m/s. An 12-N force is applied in the direction of motion and then removed after the object has traveled an additional 6.0 m. What is the work done by this force?

Respuesta :

Answer:

The work done by the force is 109.5 Joules.

Explanation:

It is given that,

Mass of the object, m = 3 kg                                

Speed of the object, v = 5 m/s

Force applied on the object, F = 12 N

Distance covered by the object, d = 6 m

The work done by this force is given by the sum of kinetic energy and potential energy as per work energy theorem as :

[tex]W=K+P[/tex]

[tex]W= \dfrac{1}{2}mv^2+Fd[/tex]

[tex]W=\dfrac{1}{2}\times 3\times (5)^2+12\times 6[/tex]

W = 109.5 Joules

So, the work done by the force is 109.5 Joules. Hence, this is the required solution.