Question

You apply a constant force Fƒ— = 68.0N i + 36.0N j to a 440 kg car as the car travels 60.0 m in a direction that is 240.0 counterclockwise from the x-axis. What is the work done by the force on the car?

Answer 1

The work done by the force on the car is -3120 J.

Step-by-step explanation:

To find the work done by force, we use a formula:
Work = Force * Distance * cos(θ)

In this case, the force is given as F = 68.0N i + 36.0N j. We need to calculate the components of the force in the direction of the displacement. The angle between the force and the displacement is 240 degrees.

Using the formula, we have:
Work = (F * d * cos(θ))
= (68.0N * 60.0m * cos(240 degrees)) + (36.0N * 60.0m * cos(240 degrees))

Now, substitute the values:
Work = (68.0N * 60.0m * (-0.5)) + (36.0N * 60.0m * (-0.5))
= -2040 J + (-1080 J)
= -3120 J

Therefore, the work done by the force on the car is -3120 J.