Work done by tension in each string for two accelerating blocks. Work done by constant force.

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Work done by tension physics problem: work done by tension in each string for two accelerating blocks. Work done by constant force.

We compute the work done by tension in each string as two blocks accelerate for a known distance.

First, we treat the masses as a single combined mass and we compute the acceleration of the masses by using the external force on the system. We apply Newton's second law and solve for a=F/m to compute the acceleration of the system. Next, now that we know the acceleration of the second mass, we analyze the net force on that single mass. Since the string between the blocks supplies the net force on that mass, we apply Newton's second law again with the smaller mass and solve for the tension in the middle string: T=ma, the tension between two blocks.

Now that we have each tension, we compute the work done by each tension by applying the work formula for constant force: W=F*delta(x), and we've got the work done by each tension through the given displacement.

[Shivani-kiwl]

Doesn't the 2 Work results be negative due to the tensions being in the opposite direction to the displacement? T1 is acting on the 100 kg block, t2 is acting on the smaller block, both tensions are ahead of the masses (in the positive direction) and are working ON the masses behind them?