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Question

Two point masses connected by an ideal string are placed on a smooth horizontal surfaces as shown in the diagram. A sharp impulse of 10 kg-m/s is given to the 5 kg mass. The velocity of the 10 kg mass just after application of impulse will be 1x m/s, then value of x is

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Solution

10 kg mass will gain velocity along the string only. Using momentum conservation along the string
v=10cos6010+5=13 m/s

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