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Suppose you lift (at a constant speed) a 20 kg box to a height of 1.0 m above its original position on the floor. What is the work done on the box?

1) 0 J
2) 200 J
3) 196 J
4) 392 J

Answer :

Final answer:

The work done on a 20 kg box lifted at a constant speed to a height of 1.0 m is 196 Joules. This is calculated using the formula: Work = Force × Distance, with the force being equal to the product of the box's mass and the acceleration due to gravity.

Explanation:

To calculate the work done on the 20 kg box that is lifted at a constant speed to a height of 1.0 m, use the formula for work: Work = Force × Distance. Because the box is lifted vertically, the force here is equal to the weight of the box, which is the product of the mass (m) and the acceleration due to gravity (g). Hence, Force = 20 kg × 9.8 m/s² = 196 N. The distance is the height to which the box is lifted, so Distance = 1.0 m.

Therefore, Work = 196 N × 1.0 m = 196 J. This means that the correct answer to the student's question is 196 Joules, which is option 3.

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