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A 2kg block is pushed 2m up a vertical wall at a constant velocity. What is the work done on the block by the force applied?

1) 0 J
2) 4 J
3) 8 J
4) 16 J

1 Answer

0 votes

Final answer:

The work done on a 2kg block pushed 2m up a vertical wall at constant velocity would be 39.2 J, but this option isn't provided. Given the options, the assumption would be 0 J if there is a mistake in the question or options.

Step-by-step explanation:

To determine the work done on a 2kg block that is pushed up a vertical wall at a constant velocity, we need to consider the force applied to the block and the distance the block moved in the direction of the force. Work is calculated using the formula Work = Force × Distance × cos(θ), where θ is the angle between the force and the direction of displacement. Since the block is moving upward at a constant velocity, the force applied must equal the gravitational force acting on the block to prevent it from accelerating, which is Weight = mass × gravity or 2kg × 9.8m/s². This is also the force required to keep the block moving at a constant velocity upwards, and since the block is moved vertically, the angle θ = 0°, and cos(0°) = 1.

The calculation is: Work = 2kg × 9.8m/s² × 2m = 19.6N × 2m = 39.2 J. Since this answer is not in the given options, it seems there may be a mistake in the question or in the given options. However, if we were only considering the four given options, the correct answer would be assumed as zero, since no option matches the calculated work.

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