Question

Linear momentum is given by $\frac{d\overrightarrow{p}}{dt}=\overrightarrow{F}$

• A. True
• B. False

Answer 1

The correct option is A True

Linear momentum

1. Linear momentum is the product of the mass and velocity of a body.
2. It is defined by the form, $\overrightarrow{p}=m\overrightarrow{v}$, where $m$ and $\overrightarrow{v}$ are the mass and the velocity of the body respectively.
3. According to Newton's second law of motion, the rate of change of linear momentum is proportional to the applied force.
4. $\frac{d\overrightarrow{p}}{dt}\propto \overrightarrow{F}$
5. The direction of the linear momentum is along the direction of the applied force.

Now, $\frac{d\overrightarrow{p}}{dt}=\overrightarrow{F}$, where F is the applied force.

Hence, the given statement is true.