Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. one of the blocks, with a mass of 5.0 kg accelerates downward at 34g.
what is the mass of the other block?

mass of other block is 0.7142 kg

Explanation:

given data

mass = 5.0 kg

accelerates downward =

to find out

mass of other block

solution

we will apply here Newton 2nd law that is

force ∑Fy = mass × acceleration

so

t - mg = ma    .............1

t = 5 ( 9.8 + )

t = 12.25 N

so other block mass is from equation 1

t - mg = ma  

t = m ( g+a)

12.25 = m ( g +   )

12.25 = m ( 9.8

m = 0.7142 kg

mass of other block is 0.7142 kg