The acceleration due to gravity on the planet | vedclass

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

Question

(A) The maximum height reached by a person jumping with an initial velocity $u$ is given by the formula $H_{\max} = \frac{u^2}{2g}$.Since the initial

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(A) The maximum height reached by a person jumping with an initial velocity $u$ is given by the formula $H_{\max} = \frac{u^2}{2g}$.Since the initial velocity $u$ is the same for both jumps,we have $H_{\max} \propto \frac{1}{g}$.Let $g_A$ and $g_B$ be the acceleration due to gravity on planets $A$ and $B$ respectively. We are given $g_A = 9g_B$.Let $H_A = 2 \ m$ be the height on planet $A$ and $H_B$ be the height on planet $B$.Using the proportionality $H_A g_A = H_B g_B$,we get $H_B = H_A \left( \frac{g_A}{g_B} ight)$.Substituting the values,$H_B = 2 	imes 9 = 18 \ m$.

The acceleration due to gravity on the planet $A$ is $9$ times the acceleration due to gravity on planet $B$. $A$ man jumps to a height of $2 \ m$ on the surface of $A$. What is the height of jump by the same person on the planet $B$?

Similar Questions

If the radius of the Earth decreases without any change in its mass,will the value of $g$ on its surface increase or decrease?

$A$ uniform solid sphere of radius $R$ produces a gravitational acceleration of $a_o$ on its surface. The distance of the point from the centre of the sphere where the gravitational acceleration becomes $\frac{a_o}{4}$ is,

The rotation of the Earth,having radius $R$,about its axis speeds up to a value such that a man at latitude angle $60^{\circ}$ feels weightlessness. The duration of the day in such a case is:

$A$ body weighs $300 \ N$ on the surface of the earth. How much will it weigh at a distance $\frac{R}{2}$ below the surface of the earth (in $N$)? ($R$ is the radius of the earth.)

The height $h$ above the earth's surface at which the value of acceleration due to gravity $g$ becomes $\frac{g}{3}$ is ($R=$ radius of the earth).

Vedclass Test Series

Exam Paper Generator

Online Exam Module