Solved: Simple Force Problem: 80KG Man Exerts 20N

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An 80 kg man is lowering himself on a 20 kg platform using a massless cable over two pulleys, with a downward acceleration of 0.2 m/s². The force exerted by the man on the cable, ignoring gravity, is calculated as 20 N. However, when considering gravity's effect, which exerts a force of 9.8 N, the calculations change significantly. The correct approach involves accounting for the tension in the cable, leading to a force of 320 N due to the configuration of the pulleys. The discussion also touches on the limitations of posting images in the forum.
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Homework Statement


An 80 KG man is standing on the platform of mass 20 KG is lowering him self down using a massless cable passing over two pullies. If his downward acceleration is .2 M/S^2, find force exerted by the man on the cable.


Homework Equations


I thought it was a simple
F=M*A


The Attempt at a Solution


F= (100 Kg) * (.2 m/s^2)
F= 20 N
 
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That is correct, provided gravity is ignored.

If you do not intend to ignore gravity, remember that gravity exerts a force of 9.8 N (g) at the surface of the Earth.
 
I am and idot, thanks for the gravity tip also ther is a diagram I did not provide taht is very important, just out of curiosity do you put pictures on here using HTML type.

Calculation is
-980 + 3t=100kg*.2
3t=-20+980
t=320 N
The reason it is 3t is because the diagram shows the rope connecting the celling and the platform/man 3 times with the two pullys)
 
Slayergnome said:
I am and idot, thanks for the gravity tip also ther is a diagram I did not provide taht is very important, just out of curiosity do you put pictures on here using HTML type.

Calculation is
-980 + 3t=100kg*.2
3t=-20+980
t=320 N
The reason it is 3t is because the diagram shows the rope connecting the celling and the platform/man 3 times with the two pullys)

I believe HTML is disabled, although you could upload the image and use IMG tags, I believe.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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