Physics string tension problem

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The discussion focuses on a physics problem involving two blocks connected by a string over a frictionless pulley, with one block on an inclined plane and the other hanging. The hanging block has a mass of 16 kg, while the block on the incline has a mass of 8 kg, with a coefficient of kinetic friction of 0.23 and an incline angle of 34 degrees. The original poster calculated the acceleration as 0.3967 m/s² and the tension in the string as 218.38 N, but others pointed out that the actual acceleration should be significantly higher. It was noted that the calculated tension exceeds the maximum force that could be exerted by the hanging block, indicating a mistake in the original calculations. The conversation emphasizes the need for a correct approach to solving the problem.
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two blocks are connected by a strin over a frictionless, massless pulley suck that one is resting on an inclined plane and the other is hanging over the top edge of the plane. the hanging blcok has a mass of 16kg and the one on teh plane has a mass of 8 kg. the coeficient of kineticfriction between teh blck and the inclined pane is .23. the blocks are released from rest. the angle of the plane is 34 degrees.
what is teh acceleration of the blocks
what is the tension in the string connectin ghte blocks
i got .3967 as the acceleration and 218.38 n as tension
any help thanks
 
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The actual acceleration is about 10 times what you got.

If you think about it. The greatest accelerating force, from the 16kg block, would be 16g, which is about 160 N. Yet you got over 200 N as tension in the string. That would pull the 16kg block upwards !

How did you tackle this question ?

Could you show what work you did ?
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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