A body weights 49,N on a spring balance at north pole. ..... N will be its weight recorded on same w

English

Gujarati

Hindi

7.Gravitation

medium

A body weights $49\,N$ on a spring balance at the north pole. ..... $N$ will be its weight recorded on the same weighing machine, if it is shifted to the equator?

(Use $g=\frac{G M}{R^{2}}=9.8 \,ms ^{-2}$ and radius of earth, $R =6400\, km .]$

A

$49$

B

$48.83$

C

$49.83$

D

$49.17$

(JEE MAIN-2021)

Solution

Weight of pole $= mg =49 \,N$

At equator due to rotation $= g _{ e }= g – R \omega^{2}$

so $W = mg _{ e }= m \left( g – R \omega^{2}\right)$

$\therefore W _{ P } > W _{ e } \quad W _{ P }=49 \,N$

So, $W _{ e }=48.83\, N . \quad W _{ e }<49 \,N$

Standard 11

Physics

Share

Similar Questions

The diameters of two planets are in ratio $4:1$ . Their mean densities have ratio $1:2$ . The ratio of gravitational acceleration on the surface of planets will be

medium

A body weighs $72 N$ on surface of the earth. When it is taken to a height of $h=2 R$, where $R$ is radius of earth, it would weigh …….. $N$

easy

A ball is launched from the top of Mt. Everest which is at elevation of $9000 \,m$. The ball moves in circular orbit around earth. Acceleration due to gravity near the earth's surface is $g$. The magnitude of the ball's acceleration while in orbit is

medium

(KVPY-2015)

Find the magnitude of acceleration due to gravity at height of $10\, km$ from the surface of earth.

medium

The weight of a body on the surface of the earth is $100\,N$. The gravitational force on it when taken at a height, from the surface of earth, equal to onefourth the radius of the earth is $……….\,N$

medium

(JEE MAIN-2023)