In an explosion, a body breaks up into two pieces of unequal masses. In this case which one of the following statements is correct?

Options

A. `3v cos theta`
B. `2v cos theta `
C. `3/2 v cos theta `
D. `(sqrt3)/(2) v cos theta `

Answer

A

Explanation

Velocity at the highest point = horizontal component of velocity = `V cos theta `
Momentum of shell before explosion `= mv cos theta `
Momentum of two pieces after explosion = ` m/2 (-v cos theta ) + m/2 v `
Law of conservation of momentum `mv cos theta = - (mv)/(2) cos theta + m/2 v `
` therefore V = 3V cos theta `