A body weighs 700 , gm , wt on the surface of | vedclass

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

Question

(B) The acceleration due to gravity on the surface of a planet is given by $g = \frac{GM}{R^2}$,where $G$ is the gravitational constant,$M$ is the mas

Vedclass · Accepted Answer

$400$

Vedclass · Answer

(B) The acceleration due to gravity on the surface of a planet is given by $g = \frac{GM}{R^2}$,where $G$ is the gravitational constant,$M$ is the mass of the planet,and $R$ is its radius.For Earth,$g_e = \frac{GM_e}{R_e^2}$.For the given planet,the mass $M_p = \frac{M_e}{7}$ and the radius $R_p = \frac{R_e}{2}$.Substituting these values,the acceleration due to gravity on the planet is $g_p = \frac{G(M_e/7)}{(R_e/2)^2} = \frac{GM_e/7}{R_e^2/4} = \frac{4}{7} \left( \frac{GM_e}{R_e^2} ight) = \frac{4}{7} g_e$.The weight of a body is given by $W = mg$. Since the mass $m$ of the body remains constant,the weight on the planet $W_p$ is related to the weight on Earth $W_e$ by $W_p = m g_p = m \left( \frac{4}{7} g_e ight) = \frac{4}{7} W_e$.Given $W_e = 700 \, gm \, wt$,we have $W_p = \frac{4}{7} 	imes 700 = 400 \, gm \, wt$.

$A$ body weighs $700 \, gm \, wt$ on the surface of the earth. How much will it weigh on the surface of a planet whose mass is $\frac{1}{7}$ and radius is half that of the earth?

Similar Questions

Which of the following statements is correct?

Which one of the following is not considered as part of the endomembrane system?

$A$ variable plane is at a constant distance $h$ from the origin and meets the coordinate axes in $A, B, C$. The locus of the centroid of $\triangle ABC$ is

The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar shown in the figure,what will be the temperature at the junction of copper and steel in $^oC$?

Animals devoid of respiratory,excretory,and circulatory organs are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module