Question

To reduce the momentum of a given body to half its original value, its velocity must be ___________.

• A. reduced to half
  
• B. doubled
• C. quadrupled
• D. kept unchanged

Answer 1

The correct option is A reduced to half

The momentum of a body is given by

$=MV$

where M is mass and V is velocity

$P=MV$

So if M is constant and $P^{\prime }=\frac{P}{2}$

$\frac{P}{2}=M{V}^{\prime }$

$V^{\prime }=\frac{V}{2}$