A 10kg block on a table conected to a 78kg mass (find acceleration)

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SUMMARY

The discussion focuses on calculating the acceleration of a 10 kg block (A) on a table connected to a 78 kg mass (B) hanging over the edge. The acceleration of both blocks is equal, and the formula derived is a = (m(B)g) / (m(B) - m(A)). The correct calculation yields an acceleration of approximately 8.7 m/s², but participants express skepticism about the accuracy of this result. The conversation emphasizes the importance of correctly applying Newton's second law in this context.

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Zsmitty3
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1.A 10 kg block (A) on a table is connected by a string to a 78-kg mass (B), which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10kg black when the other block is released?


2.So the acceleration of the block (A) is going to be the same as the acceleration of the Mass (B) in the y direction? Where the block =A and the Mass =B



3. block x: T=m(A)a
Mass y: T-m(B)g= -m(B)a
Substitute in T in the Mass y equation: ma-mg=-ma
Therefore: a= (m(B)g) / (m(B)-m(A))
(7.8*9.8)/(78+10)=8.7? Seems a little quick to be right?
 
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Zsmitty3 said:
1.A 10 kg block (A) on a table is connected by a string to a 78-kg mass (B), which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10kg black when the other block is released?


2.So the acceleration of the block (A) is going to be the same as the acceleration of the Mass (B) in the y direction? Where the block =A and the Mass =B



3. block x: T=m(A)a
Mass y: T-m(B)g= -m(B)a

Correct so far.

Zsmitty3 said:
Substitute in T in the Mass y equation: ma-mg=-ma?
Therefore: a= (m(B)g) / (m(B)-m(A))

That is wrong. Check.

ehild
 

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