Question

The linear momentum of an object of mass $2\mathrm{kg}$ is $10\mathrm{kg}{\mathrm{ms}}^{-1}$. The velocity of the object is :

• A. $2{\mathrm{ms}}^{-1}$
• B. $20{\mathrm{ms}}^{-1}$
• C. $5{\mathrm{ms}}^{-1}$
• D. $10{\mathrm{ms}}^{-1}$

Answer 1

The correct option is C

$5{\mathrm{ms}}^{-1}$

Explanation for correct option

Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

i.e; $Momentum=mass\times velocity$

Given mass$=2kg$, momentum$=10kgm{s}^{-1}$

Substituting values we have :

$$\begin{gathered} 10=2\times velocity \\ velocity=5m{s}^{-1}[Dividingbothsidesby2] \end{gathered}$$

Hence option C is correct.