## A constant force of 45 N directed at angle θ to the horizontal pulls a crate of weight 100 N from one end of a room to another a distance of

Question

A constant force of 45 N directed at angle θ to the horizontal pulls a crate of weight 100 N from one end of a room to another a distance of 4 m. Given that the vertical component of the pulling force is 12 N, calculate the work done by the force in moving the crate.

in progress 0
2 months 2021-07-31T15:02:14+00:00 1 Answers 4 views 0 Explanation:

information we know:

Total force: Weight: distance: vertical component of the force: ————-

In this case we need the formulas to calculate the components of the force (because to calculate the work we need the horizontal component of the force).

horizontal component: vertical component: but from the given information we know that so, equation these two and  and we know the force , thus: now we clear for  the angle to the horizontal is 15.466°, with this information we can calculate the horizontal component of the force:  whith this horizontal component we calculate the work to move the crate a distance of 4 m: the work done is W=173.48J