Two objects were lifted by a machine.

- The first object had a mass of 2 kilograms and was lifted at a speed of 2 m/s.
- The second object had a mass of 4 kilograms and was lifted at a speed of 3 m/s.

Sadly, after giving all the necessary data, you forgot to ask the question. Here are some general considerations that jump out when we play with that data:
For the first object: The object's weight is (mass) x (gravity) = 2 x 9.8 = 19.6 newtons The force needed to lift it at a steady speed is 19.6 newtons. The potential energy it gains every time it rises 1 meter is 19.6 joules. If it's rising at 2 meters per second, then it's gaining 39.2 joules of potential energy per second. The machine that's lifting it is providing 39.2 watts of lifting power. The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(2)(4) = 4 joules.
For the second object: The object's weight is (mass) x (gravity) = 4 x 9.8 = 39.2 newtons The force needed to lift it at a steady speed is 39.2 newtons. The potential energy it gains every time it rises 1 meter is 39.2 joules. If it's rising at 3 meters per second, then it's gaining 117.6 joules of potential energy per second. The machine that's lifting it is providing 117.6 watts of lifting power. The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(4)(9) = 18 joules.
If you go back and find out what the question is, there's a good chance that you might find the answer here, or something that can lead you to it.

Answered by AL2006 | 2024-06-10

To find the power exerted while lifting two objects, we compute their weights using their masses and gravity. Then, using the lifting distance and speed, we can calculate work done and subsequently power for each object. For instance, if each object is lifted to a certain height, we can derive the respective power outputs accordingly.
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Answered by AL2006 | 2024-11-01