Newton's Laws of Motion; tension

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The discussion focuses on calculating the maximum height reached by a lighter mass (M1 = 2.2kg) in a system involving two masses and a frictionless pulley. The maximum force exerted is 21750N, and the mass involved is 2100kg. To find the acceleration of the lighter mass, the equation F = ma is utilized, where the force is set to 21750N. This approach leads to determining the launch speed of the lighter mass when the heavier mass (M2 = 3.2kg) hits the ground, which is essential for calculating the maximum height achieved.

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36. The two masses (M1 = 2.2kg, M2 = 3.2kg) are each initially 1.80m above the ground, and the massless frictionless pulley is 4.8m above the ground. What maximum height does the lighter object reach after the system is released? (Hint: First determine the acceleration of the lighter mass ad then its velocity at the moment the heavier one hits the ground. This is its launch speed.)

I'm having a hard time with understanding this
 
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First of all Please don't put everything in bold. The whole point of putting something in bold is to give it emphasis and make it stand out, but if everything is in bold then what is the point... because now nothing stands out, and it is fairly more difficult on the eyes that way and less pleasant to read. Also just leave the Homework template headers the way they are and fill in your information under them, look at some other posts to see what I mean.

Well the first one is simple, the maximum force is 21750N and the mass is 2100kg, your equation is correct.
Just find "a" the acceleration, if 21750N is the maximum then that is the value you want because if it were greater it would break, and if it were any less then it would not be the maximum would it? So you need exactly the acceleration of the 2100kg mass that will give you 21750N of force.
F = ma, so 21750N = 2100kg * a

Maybe you can solve the others on your own now.
 
Thanks :) I edited it already. Sorry for that.
 

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