Find the force of the rope on the block

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ritwik06
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A block of mass 'M' is pulled along horizontal frictionless surface of a rope of mass 'm'. Force 'P' is applied at the end of rope. Find the force which the rope exerts on the block.

My attempt:
The total mass = M+m
Force P=(M+m)*a ------------ (i)
Force exerted on block = ma
a=P/(M+m)
Force on block=mP/(M+m)

Am i correct?
 
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Thread moved to homework. Based on your number of posts (not a newbie mistake), I'm giving a 0-point warning for posting a homework question in the general forums. Oh, and your answer looks correct to me.