Question

1) Calculate the ratio of momentum, when

Velocity of an object is doubled

Mass of an object is halved

Both mass and velocity are increased by three times

Answer 1

$$\begin{gathered} Momentum=mv \\ wheremismassandvisvelocity \\ p=mv \\ \left(1\right)whenvelocitybecomesdouble \\ {p}_1=m\left(2v\right)=2mv=2p \\ \left(2\right)whenmassofobjectishalved \\ {p}_2=\frac{mv}{2}=\frac{p}{2} \\ \left(3\right)Whenmassandvelocityareincreasedbythreetimes \\ {p}_3=3m\times 3v=9mv=9p \\ {p}_1:p_2:p_3=2p:\frac{p}{2}:9p \\ =4:1:18 \end{gathered}$$