Question

A shell is fired from a canon with a velocity v at an angle theta with the horizontal direction at the highest point in its path it explodes into two pieces of equal masses one of the peace retraces its path to the canon the speed of the other piece immediately after the explosion

Answer 1

A shell fired at angle ′θ′′θ′ velocity of shell at highest point is vcosθvcos⁡θ

Let its mass be m

speed of one piece =vcosθ=vcos⁡θ

Let speed of other piece =v′=v′

Using conservation of momentum

mvcosθ=m2mvcos⁡θ=m2vcosθ+m2v′vcos⁡θ+m2v′

Therefore v′=3vcosθv′=3vcos⁡θ

Hence a is the correct answer.

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