You push a stalled car with a constant force of 215 NN as it moves a distance 8.40 mm in a straight line. The amount of work that you do in this process is 1.47×103J1.47×103J. What is the angle between the direction of your push and the direction of the car's motion?

Respuesta :

Answer:

[tex]\theta=0.999^{\circ}[/tex] is the angle between the displacement and the force

Explanation:

Given:

Force of pushing the car, [tex]F=215\ N[/tex]

displacement of the car, [tex]s=8.4\ m[/tex]

amount of work done, [tex]W=1470\ J[/tex]

We know the formula of work:

[tex]W=F.s\cos\theta[/tex]

where:

  • [tex]\theta=[/tex] angle between the displacement and the force

[tex]1470=215\times 8.4\times \cos\theta[/tex]

[tex]\theta=0.999^{\circ}[/tex] is the angle between the displacement and the force