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What is the minimum work needed to push a 950 kg car 960 m up along a 9.5° incline?

A) 152,200 J
B) 144,120 J
C) 139,560 J
D) 158,780 J

Answer :

Final answer:

The minimum work needed to push the car up the incline is 139,560 J.

Explanation:

To calculate the minimum work needed to push a car up an incline, we can use the formula:

Work = Force x Distance x cos(angle)

In this case, the force exerted on the car is the weight of the car, which is given by:

Force = mass x gravity

So, the work done on the car is:

Work = (mass x gravity) x distance x cos(angle)

Plugging in the values, we get:

Work = (950 kg x 9.8 m/s^2) x 960 m x cos(9.5°)

Work = 139,560 J

Therefore, the minimum work needed to push the car up the incline is 139,560 J.

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