I know the answers but i just dont know why, cany you give me an explanation? Qu

Question

I know the answers but i just dont know why, cany you give me an explanation?

Question: Using a modified atwood machine in which a cart of mass(c) is connected to a hanging mass(H) by a cord that runs over a pulley,

suppose the hanging mass is mH = 371 g and the mass of the cart is mC = 817 g. Assume there is no friction anywhere in the system, and the system starts at rest. Use g = 9.81 m/s2.

a) Find the acceleration of the system.
answer: 3.06 m/s2

b) Find the tension in the string.

answer: 2.5N

answer: 4.9m/s

Explanation / Answer

a) T = Mc*a and Mh*g-T = Mh*a

==> Mh*g= (Mh+Mc)*a

==> a = 371*9.8/(371+817)= 3.06 m/s^2

b)T = 0.817*3.06 = 2.5 N

c)vf^2 = vi^2+2as (vi =0)

==> vf = sqrt(2*3.06*3.92) = 4.9 m/s

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