Question

Calculate the work done by a person who exerts a force of 200.0 N in the horizontal direction on a box that moves 10.0 meters along a ramp that makes an angle of +30.0o with the horizontal, moving the box at a constant speed. Note: Do not include the work done on the person, only on the box.a. 1000 Jb. 1730 Jc. 3430 J

Answer 1

To solve this problem we will apply the work theorem, which warns that the energy in a body is equivalent to the Force applied on it by its distance traveled, that is,

$W = \vec{F}\cdot \vec{d}$

Here,

$\vec{F} = Force$

$\vec{d} = Distance$

When you do not have the values of the vectors, but their magnitude the expression can be written as

$W = Fd cos\theta$

Where,

$\theta =$ Angle between the force and the distance, at this case 30°

Replacing we have that

$W = (200)(10)(cos30)$

$W = 1732J$

Therefore the correct answer is B. 1730J.