What is the work done by a horse that exerts an applied force of 100 N on a sleigh, if the harness makes an angle of 30° with the ground, and the sleigh moves 30 m across a flat level ice surface?

Jun 1, 2018

I get approximately $2598.1$ joules.

Explanation:

Work done is given by the equation,

$W = F \cdot d \cdot \cos \theta$

where:

• $W$ is the work done in joules

• $F$ is the force in newtons

• $d$ is the distance moved in meters

• $\theta$ is the angle of incline in degrees

So, we get:

$W = 100 \setminus \text{N"*30 \ "m} \cdot \cos {30}^{\circ}$

$= 3000 \setminus \text{N m} \cdot \frac{\sqrt{3}}{2}$

$= 1500 \sqrt{3} \setminus \text{N m}$

$\approx 2598.1 \setminus \text{N m}$

=2598.1 \ "J" \ (because 1 \ "J"=1 \ "N m")