Question

A motor exerts a 280 N force and does 1220 J

of work while lifting a box. How far did the
motor lift the box?

Answer 1

We know that:

• Work = Force × Distance

Solving for Distance:

• Distance = Work / Force
• Distance = 1220 J / 280 N

Distance = 4.36 m

Answer 2

the motor lifted the box approximately 4.36 meters.

Given that the force exerted by the motor is 280 N and the work done is 1220 J, we can rearrange the formula to solve for distance:

`Distance = (Work)/(Force)`

Substituting the given values:

`Distance = (1220 J)/(280 N)`

Calculating this gives us:

Distance ≈ 4.36 meters

Therefore, the motor lifted the box approximately 4.36 meters.

To further illustrate this, let's consider an example. Imagine you are lifting a box using a motor with a force of 280 N. If the motor does 1220 J of work, this means that it transfers 1220 J of energy to the box to lift it.

The distance the box is lifted can be calculated by dividing the work done (1220 J) by the force applied (280 N), resulting in a distance of approximately 4.36 meters.

It's important to note that this calculation assumes that the force applied by the motor remains constant throughout the lifting process and that the motion is vertical.