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8. A mass of 5 kg descending vertically, draws up amass of 3 kg by means of a light string passing overa pulley. At the end of 4 s, the string breaks. Howmuch higher the 3 kg mass would go ? ​

Answer»

Given :-

Mass of big block = M = 5 KG

Mass of SMALL block = m = 3 Kg

Force on big block = F = 5g

Force on small block = f = 3g

Time = t = 4 s

∆F = (M+m)a

F - f = (5+3)a

a = 2g/8

a = g/4

Using FIRST equation of Motion,

v = at (Since Initial Velocity is Zero.)

v = g/4 × 4

v = g

As we know that,

h = v²/2g

h = g²/2g

h = g/2

Taking 'g' = 9.8 ms-²

h = 4.9 m

Hence,

Mass 3 kg will go = h = 4.9 m



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