A 0.60-kg book slides on a horizontal table. the kinetic friction force on the book has magnitude 1.9 n . part a how much work is done on the book by friction during a displacement of 2.3 m to the left?

Respuesta :

Answer: 4.37 J

Explanation:

The work done by a constant force is given by:

[tex]W=Fd cos \theta[/tex]

where

F is the magnitude of the force

d is the distance through which the object has been moved

[tex]\theta[/tex] is the angle between the direction of the force and of the motion of the object.

In this problem:

- the magnitude of the force of friction is F = 1.9 N

- the distance is d = 2.3 m

- the angle is [tex]\theta=180^{\circ}[/tex], because the direction of the friction is opposite to the direction of motion of the book

Therefore, the work done is

[tex]W=(1.9 N)(2.3 m)(cos 180^{\circ})=-4.37 J[/tex]