An iron ball and a wooden ball of the same radius are released from the same height in vacuum. They take the same time to reach the ground. The reason for this is
- AAcceleration due to gravity in vacuum is same irrespective of the size and mass of the body
- BAcceleration due to gravity in vacuum depends upon the mass of the body
- CThere is no acceleration due to gravity in vacuum
- DIn vacuum there is a resistance offered to the motion of the body and this resistance depends upon the mass of the body
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An object is taken to a height above the surface of the Earth at a distance of $\frac{5}{4} R$ from the center of the Earth,where the radius of the Earth is $R = 6400 \, km$. The percentage decrease in the weight of the object will be $....\%$.
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).
Obtain an expression for the variation in effective gravitational acceleration $g'$ with latitude due to the Earth's rotation.
Difficult
View SolutionThe value of acceleration due to gravity $g$ is maximum at
The gravitational potential at a point above the surface of the Earth is $-5.12 \times 10^7 \,J/kg$ and the acceleration due to gravity at that point is $6.4 \,m/s^2$. Assume that the mean radius of the Earth is $6400 \,km$. The height of this point above the Earth's surface is: (in $\,km$)
DifficultJEE MAIN 2024
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