What would be the effect on the weight of a b | vedclass

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

Question

(A) The effective acceleration due to gravity $(g')$ is given by the formula $g' = g - \omega^2 R \cos^2 \lambda$,where $\omega$ is the angular veloci

Vedclass · Accepted Answer

Weight increases at the equator

Vedclass · Answer

(A) The effective acceleration due to gravity $(g')$ is given by the formula $g' = g - \omega^2 R \cos^2 \lambda$,where $\omega$ is the angular velocity of the earth,$R$ is the radius of the earth,and $\lambda$ is the latitude.If the earth stops rotating,$\omega = 0$,which means the term $\omega^2 R \cos^2 \lambda$ becomes zero.Consequently,the effective gravity $(g')$ increases at all points except at the poles (where $\lambda = 90^\circ$ and $\cos 90^\circ = 0$).Since weight $(W = mg)$ is directly proportional to the effective acceleration due to gravity,the weight of a body will increase at all locations on the earth's surface except at the poles,where it remains unchanged.

What would be the effect on the weight of a body if the earth stopped rotating?

Similar Questions

An object has a mass of $30 \ kg$. What is its weight $(i)$ on the moon $(ii)$ on another planet? The value of $g$ on the moon is $1/6$ the value of $g$ on the earth. The value of $g$ on the planet is $3$ times the value of $g$ on the earth. Take $g_{earth} = 10 \ m/s^2$.

Mona weighs $750 \, N$ on Earth:
$(i)$ On the planet Mars,the force of gravity is $38 \%$ of that of Earth. How much will Mona weigh on Mars?
$(ii)$ What will be Mona's mass on Earth (take $g = 10 \, m s^{-2}$)?

Show that the weight of an object on the moon is one-sixth of its weight on the earth. [Given: mass of earth $= 5.98 \times 10^{24} \ kg$,mass of moon $= 7.36 \times 10^{22} \ kg$,radius of earth $= 6.37 \times 10^{6} \ m$,radius of moon $= 1.74 \times 10^{6} \ m$]

$A$ man weighs $600\, N$ on the surface of the Earth. What would be his mass and weight on the surface of the Moon? $(g = 10\, m s^{-2})$

$(a)$ The weight of a man on the surface of the earth is $392 \, N$. Find his mass. $(g = 9.8 \, m s^{-2})$
$(b)$ If the man were taken to the moon,what would be:
$(i)$ his mass and
$(ii)$ his weight?
$(iii)$ Calculate the acceleration due to gravity on the moon.

Vedclass Test Series

Exam Paper Generator

Online Exam Module