Question

several children are on a sled pulled by a four - wheeler across a level snow - covered field. the sled is moving at a constant speed of 9.05 m/s, and the tow rope (parallel to the ground) makes an angle of 35.0° with respect to the velocity of the sled (see the figure below). if the tension in the rope is 43.0 n, determine the work done on the sled by the tension in the rope in 13.0 s.

Explanation:

Step1: Calculate the distance traveled

The formula for distance $d = vt$, where $v = 9.05$ m/s and $t=13.0$ s. So $d=9.05\times13.0$.
$d = 117.65$ m

Step2: Calculate the work - done

The formula for work $W = Fd\cos\theta$, where $F = 43.0$ N, $d = 117.65$ m and $\theta = 35.0^{\circ}$. So $W=43.0\times117.65\times\cos(35.0^{\circ})$.
$W = 43.0\times117.65\times0.819152$
$W\approx4157$ J

Answer:

$4157$ J