Question

An object is pulled along the ground by exerting a force of 35 pounds a rope that makes a 10° angle with the ground. How much work is done dragging the object 13 feet?

Answer 1

Answer:

Workdone = 601.33 Nm

Explanation:

Workdone = Force(F) x horizontal distance(d).

Wordone = F x d

Where F is the horizontal component of the force

Force = 35 pounds

Recall that;

1 pound force = 4.4N

=> 35 pounds = 35 x 4.4N = 154N

=> Force = 154N

But since the rope makes a 10⁰ angle with the ground,

The horizontal component of the force F is  Force x  cos10⁰

=> F = 154 cos 10⁰

=> F = 154 x 0.9848

=> F = 151.66N

Horizontal distance (d) = 13 feet

Recall that;

1 foot = 0.305m

=> 13 feet = 13 x 0.305m = 3.965m

=> d = 3.965m

=> Substituting the values of F and d into the equation above, we have;

Workdone = F x d

Workdone = 151.66N x 3.965m

Workdone = 601.33Nm