Question

You apply a constant force F

=(−68.0 N) i
^
+(36.0 N) j
^
​
to a 380 kg car How much work does the force you apply do on the car? as the car travels 40.0 m in a direction that is 240.0 ∘
counterclockwise from the +x-axis. Express your answer with the appropriate units.

Answer 1

The work done by the force can be calculated using the formula: Work = Force * Distance * cos(theta). In this case, the work done on the car is -872.7 J i + 476.4 J j.

Step-by-step explanation:

The work done by a force can be calculated using the formula:

Work = Force * Distance * cos(theta)

where Force is the magnitude of the force applied, Distance is the magnitude of the displacement, and theta is the angle between the force and displacement vectors.

In this case, the force is given by F = -68.0 N i + 36.0 N j, and the displacement is 40.0 m in a direction that is 240.0 degrees counterclockwise from the +x-axis. Calculating the work:

Work = (-68.0 N * 40.0 m * cos(240 degrees)) i + (36.0 N * 40.0 m * cos(240 degrees)) j

Work = -872.7 J i + 476.4 J j

Therefore, the work done by the force on the car is -872.7 J i + 476.4 J j.

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