Question

you pull a 10 kg box across the floor by applying a force of 5.4 n at an angle of 34 degrees with the floor. the box moves through a distance of 5.1 m. how much work did you do?

Answer 1

To calculate the work done on the box, find the horizontal component of the force and multiply it by the distance moved. The work done is given by the product of this horizontal force component and the distance, with the result expressed in joules.

Step-by-step explanation:

To solve the mathematical problem completely and determine how much work you did by pulling a 10 kg box across the floor, we'll apply the concept of work done in physics. Work is defined as the product of the force applied and the distance moved by the object in the direction of the force. The force is applied at an angle to the horizontal, so we need to calculate the horizontal component of the force.

The horizontal component of the force (Fh) is given by Fh = F * cos(θ), where F is the applied force and θ is the angle of the force with respect to the horizontal. In this case, F = 5.4 N and θ = 34 degrees. Therefore, Fh = 5.4 * cos(34°) N. We then calculate the work done (W) by this force over a distance (d), where W = Fh * d.

By inserting the values:
Fh = 5.4 N * cos(34°),
d = 5.1 m.

Calculate the horizontal force component and use it to determine the work done. Plugging in the values, we get the result in joules, which is the SI unit of work.