If the mass of Earth is 80 times that of a pl | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The acceleration due to gravity is given by $g = \frac{GM}{R^2}$.Let $M_e$ and $R_e$ be the mass and radius of Earth,and $M_p$ and $R_p$ be the ma

Vedclass · Accepted Answer

$0.49$

Vedclass · Answer

(C) The acceleration due to gravity is given by $g = \frac{GM}{R^2}$.Let $M_e$ and $R_e$ be the mass and radius of Earth,and $M_p$ and $R_p$ be the mass and radius of the planet.Given: $M_e = 80 M_p$ and $D_e = 2 D_p$,which implies $R_e = 2 R_p$.The ratio of gravity on the planet $(g_p)$ to Earth $(g_e)$ is:$\frac{g_p}{g_e} = \frac{M_p}{M_e} 	imes \left( \frac{R_e}{R_p} ight)^2$Substituting the given values:$\frac{g_p}{9.8} = \left( \frac{1}{80} ight) 	imes (2)^2 = \frac{4}{80} = \frac{1}{20}$$g_p = \frac{9.8}{20} = 0.49 \ m/s^2$.

If the mass of Earth is $80$ times that of a planet and its diameter is double that of the planet,and $g$ on Earth is $9.8 \ m/s^2$,then the value of $g$ on that planet is ........ $m/s^2$.

Similar Questions

The weight of a body of mass $m$ decreases by $1\%$ when it is raised to a height $h$ above the Earth's surface. If the body is taken to a depth $h$ in a mine,the change in its weight is:

$A$ body thrown on Earth reaches a height of $90\,m$. If the same body is thrown on a planet with $\frac{1}{10}$ of the mass and $\frac{1}{3}$ of the radius of Earth,it will reach a height of ....... $m$.

Which graph correctly represents the variation of acceleration due to gravity $(g)$ with radial distance $(r)$ from the centre of the earth (radius of the earth $= R_e$)?

If the radius of the earth were to shrink by $1\%$ while its mass remains the same,the acceleration due to gravity on the earth's surface would

The acceleration due to gravity at a height $(1/20)^{th}$ of the radius of the Earth above the Earth's surface is $9 m s^{-2}$. Its value at an equal depth below the surface of the Earth is: (in $m s^{-2}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module