Question 167: Gravitation

Question

A body weights 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 $$g = {{GM} \over {{R^2}}}$$ = 9.8 ms
$$-$$2
and radius of earth, R = 6400 km.]

Accepted Answer

Given, weight of body at North pole,
w
p
= mg = 49 N
Radius of Earth, R = 6400 km
Let weight of body at equator be w
e
.
At equator, g
e
= g $$-$$ R$$\omega$$
2
$$	herefore$$ w
e
= mg
e
= m(g $$-$$ R$$\omega$$
2
)
Since, w
p
> w
e
$$\Rightarrow$$ w
e
< 49 N
Hence, above condition is satisfied by only option (b).

Answer

49 N

Answer

49.83 N

Answer

48.83 N

Answer

49.17 N

Gravitation

A body weights 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 = {{GM} \over {{R^2}}} = 9.8 ms -$2 and radius of earth, R = 6400 km.]

Choose the correct answer: