Question

Calculate the value of acceleration due to gravity on the surface of the planet. (Given, mass of planet: 7.4 x 10²² kg ; radius of planet= 4958 km; G= 6.7x 10-¹¹)​

Answer 1

Answer:

The acceleration due to gravity on the surface of the planet is $0.2\text{ m/s}^2$.

Explanation:

Given information:

• Mass of the Planet $M=7.4\times10^{22}\text{ kg}$.
• Radius of Planet $r=4953\text{ km}=4953\times10^3 \text{ m}$.
• Universal gravitational constant $G=6.7\times10^{-11}\text {N.m}^2\text{/kg}^2$

The acceleration due to gravity $(g)$ is given as,

$g=\frac{GM}{r^2}$

Here, $G$ is the universal gravitational constant, $M$ is the mass of the planet, and $r$ is the radius of the planet.

Substituting all known values,

$g=\frac{6.7\times10^{-11}\text {N.m}^2\text{/kg}^2\times7.4\times10^{22}\text{ kg}}{(4958\times10^3\text{ m})^2}\\\approx0.2 \text{ m/s}^2$

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