Question

You are pulling a child in a wagon. The rope handle is inclined upward at a 60∘ angle. The tension in the handle is 20 N.How much work do you do if you pull the wagon 110 m at a constant speed?

Answer 1

1100 joules of work is done in pulling the wagon 110 meters at a constant speed when the tension in the handle is 20 N and it is inclined at a 60 degree angle.

Step-by-step explanation:

To calculate the amount of work done by pulling the child in a wagon, we shall use the work formula which is Work = Force x Distance x cos(\u03b8), where \u03b8 is the angle between the direction of the applied force and the displacement. The tension in the handle is given as 20 N and the handle is inclined at a 60\u00b0 angle. The distance the wagon is pulled is 110 m. Since the wagon is pulled at a constant speed and assuming the horizontal, the work done is only due to the horizontal component of the tension force.

W = F x d x cos(\u03b8) = 20 N x 110 m x cos(60\u00b0)

Since cos(60\u00b0) is 0.5, the work done = 20 N x 110 m x 0.5 = 1100 J.

So, 1100 joules of work is done in pulling the wagon 110 meters at a constant speed.