Question

If $1{\text{kgwt = 10N}}$, the value of gravitational intensity will be:
A. $10$ meter per second square
B. $\dfrac{1}{{10}}$ meter per second square
C. $1$ meter per second square
D. $\dfrac{1}{{100}}$ meter per second square

Answer 1

Hint: Gravitational intensity is the measurement of the force which is experienced by a unit mass in the given field and its unit is Newton per kilogram.

Complete step-by-step answer:

Formula used: $g = \dfrac{F}{m}$, where $g$ is gravitational field intensity, $F$ is force and $m$ is mass.

Given that, $1{\text{kgwt = 10N}}$

It means $1{\text{kgwt}}$ is the force of gravitational attraction on a mass of $1{\text{kg}}$
As, $g = \dfrac{F}{m}$
putting the values we get:
$g = \dfrac{{10}}{1} \\\ g = 10{\text{N/kg}} \\\$
As we know that $1{\text{N = 1kgm/}}{{\text{s}}^2}$
$\therefore g = 10{\text{m/}}{{\text{s}}^2}$

Hence the correct option is A.

Note: In this question it's given that $1{\text{kgwt = 10N}}$ which means that $1{\text{kgwt}}$ is the force of gravitational attraction on a mass of $1{\text{kg}}$ hence we applied the formula for gravitational intensity and calculated the value of $g$ as $10$ Newton per kilogram which is then converted into meter per second square.