The value of acceleration due to gravity on moving from equator to poles will
decrease
remain same
increase
become half
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Acceleration due to gravity is given by
As one moves from the equator to the poles, the radius of the earth decreases, hence increases.
Which of the following is the correct relation between acceleration due to gravity ' ' and universal gravitational constant (G).
An object is taken to a height above the surface of earth at a distance from the centre of the earth. Where radius of earth, . The percentage decrease in the weight of the object will be
Effective value of ' ' at ' ' height is given as
Change in
Hence decrease in the weight
Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth. If is the maximum range of a projectile on the earth's surface, what is the maximum range on the surface of the moon for the same velocity of projection
Range of projectile
if and are constant then
The height of the point vertically above the earth's surface, at which acceleration due to gravity becomes of its value at the earth's surface is (Radius of the earth )
Where will it be profitable to purchase one kilogram sugar?
At poles
At equator
At latitude
Value of is larger at poles than the equator.
The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is , the radius of the planet would be
also
at the surface of planet
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is and that on the surface of the new planet is , then
We know that
(d)
where average density
is directly proportional to .
Average density of the earth
is a complex function of ,
does not depend on
is inversely proportional to
is directly proportional to
K.E. of the person = P.E. at the maximum height
.
The ratio of radii of earth to another planet is and the ratio of their mean densities is . If an astronaut can jump to a maximum height of on the earth, with the same effort, the maximum height he can jump on the planet is
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