A small bullet of mass m=0.27g and speed v=13m/s embeds in a block of mass M=0.98kg suspended by a massless string of length L, after a collision as shown in the figure. If the bullet will appear on the other side of the block M with a speed v'=3.6m/s, instead of being embedded in it, find the maximum height the block M can reach. (Take g=9.81 m/s2). Express your answer using two decimal places.
The momentum will be conserved in this collision
m -> Mass of bullet ; v -> Initial velocity of bullet ; v' -> Final velocity of bullet
M -> Mass of block ; V -> Final velocity of block
Final velocity of the block :
This Kinetic energy due to this changes to potential energy :
Maximum Height :
Substituting :
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