Question

I really need a huge help for this physics homework.. please can you answer this for me ? Thank you so much . the problem runs this way:

A 40 kilogram mass is pulled by a 80 newton force which is 30 degrees from the horizontal along a level floor. What is the work done by the 80 newton force after travelling 15 meters?

Answer 1

A 40 kilogram mass is pulled by an 80 newton force which is 30 degrees from the horizontal along a level floor. What is the work done by the 80 newton force after travelling 15 meters?

Mathematically, work can be expressed by the following equation:

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

where $F$ is the force, $d$ is the displacement, and the angle $\theta$ is defined as the angle between the force and the displacement vector.

In this case $\theta = 30{}^{\circ}$, therefore:

$$W = 80 N * 15 m * \cos 30{}^{\circ} = 600 \sqrt{3} \, J \approx 1040 J$$

Answer: $W = 1040 \, J$