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HELP ME ANSWER THIS FOR 96 POINTS PLEASE!!

The three modified Atwood's machines shown below have blocks of mass M on a frictionless surface
and hanging from a string. When the blocks are released, they accelerate.

Rank them from smallest to largest and explain why in a short paragraph using the mass terms and force.

HELP ME ANSWER THIS FOR 96 POINTS PLEASE The three modified Atwoods machines shown below have blocks of mass M on a frictionless surface and hanging from a stri class=

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Answer:

Smallest - B

Largest - C

Middle - A

The hanging mass provides the force for accelerating the system.

In case A the force M G accelerates 2 * M

So you have for F = M a     M * g = 2 * M * a    or  a = g / 2

In case B  F = M a         M * g = 3 * M * a        and a = g / 3

In case C   F = 2 * M * g      2 M * g = 3 * M * a      and a = 2 * g / 3      

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