Question

A particle of mass $2\text{kg}$ placed at a point experiences a gravitational force of $4\text{N}$ along positive $\text{x-}$axis. The gravitational field at that point is

• A. $2\hat{i}\text{N/kg}$
• B. $-2\hat{i}\text{N/kg}$
• C. $1\hat{i}\text{N/kg}$
• D. $-1\hat{i}\text{N/kg}$

Answer 1

The correct option is A $2\hat{i}\text{N/kg}$

Given,
Mass of the particle, $m=2\text{kg}$,

Force along the positive $\text{x-}$axis, $\overrightarrow{F_g}=4\hat{i}\text{N}$


The force experienced, $F_g$ by a particle of mass $m$ placed in a gravitational field $E_g$ is given by, $$\overrightarrow{F_g}=m\overrightarrow{E_g}$$ $\Rightarrow \overrightarrow{E_g}=\frac{\overrightarrow{F_g}}{m}$

Substituting the given values we get,

$\overrightarrow{E_g}=\frac{4\hat{i}}{2}$

$\therefore \overrightarrow{E_g}=2\hat{i}\text{N/kg}$

Hence, option (a) is the correct answer.