A body weighs 49N on a spring balance at the north pole. What will...

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

[Use $g = \dfrac{GM}{{R}^{2}} = 9 . 8m{s}^{- 2}$ and radius of earth, $R = 6400km .$ ]

Options

A $49 . 17N$
B $48 . 83N$
C $49 . 83N$
D $49N$

Correct answer

B. $48 . 83N$

Step-by-step solution

Weight of pole $= mg = 49N$

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

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

$∴ {W}_{P} > {W}_{e}$ ${W}_{p} = 49N$

So, ${W}_{e} = 48 . 83N .$ ${W}_{e} < 49N$

Practice Gravitation on Quantrex Academy →

More from Gravitation

A particle of mass m , and angular momentum ℓ is moving in a circular orbit of radius r_0… JEE Advanced 2026 A body of mass m is taken from the surface of earth to a height equal to twice the radius… JEE Main 2026 When one moves from a point 16 km below the earth's surface to a point 16 km above the… JEE Main 2026 The height in terms of radius of the earth (R) , at which the acceleration due to gravity… JEE Main 2026 If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and… JEE Main 2026 A planet (P_1) is moving around the star of mass 2M in the orbit of radius R . Another… JEE Main 2026 Three masses 200 ~kg, 300 ~kg and 400 kg are placed at the vertices of an equilateral… JEE Main 2026 Given below are two statements: Statement I : A satellite is moving around earth in the… JEE Main 2026 Full Gravitation list All JEE Main PYQs