ou pull your little sister across a flat snowy field on a sled. Your sister plus the sled have a mass of 34 kg. The rope is at an angle of 33 degrees to the ground. As you pull with a force of 26 N, the sled travels a distance of 47 m. How much work do you do?

Respuesta :

Answer:

Work done is 1026.48 J.

Explanation:

Given :

Mass of both sister and sled , m = 34 kg.

Angle from ground of force, [tex]\theta=33^o[/tex].

Force applied , F = 26 N.

Distance travelled , d = 47 m.

We know, work done is, W = F.d = [tex]Fdcos\theta[/tex]   ( [tex]\theta[/tex] is angle between F and d )=

Here , [tex]cos\theta=cos\ 33^o=0.84[/tex]

Putting value of [tex]cos\theta[/tex], force and distance in work done equation we get,

[tex]W=26\times 47\times 0.84=1026.48\ J.[/tex]

Hence , this is the required solution.