Acceleration Due to Gravity

Q.

The density of a material in SI units is $128kg{m}^{-3}$. In certain units in which the unit of length is $25cm$ and the unit of mass is $50g$, the numerical value of density of the material is :

1. $40$

2. $410$

3. $640$

4. $16$

Q. Why is acceleration due to gravity maximum at the poles and minimum at the equator?

Q.

What is meant by the statement that acceleration due to gravity is 9.8m/s²?

Q. At what height above surface of earth the weight of an object will become 1\4 times of the weight at earth surface?( Radius of earth=6400km)

Q.

A body released from a height falls freely towards earth. Another body is released one sec later. The separation between the bodies two sec after the released of the second body is (ans=24.5 m).

Q.

Why does a heavier object hit the ground first when dropped from the same height?

Q.

The value of acceleration due to gravity of earth :
(a) is the same on equator and poles
(b) is the least on poles
(c) is the least on equator
(d) increases from pole to equator

Q.

State the factors on which acceleration due to gravity (g) depends?

Q.

If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earths surface would

1. decrease

2. remain unchanged

3. increase

4. be zero

Q.

At which place will the weight of an object be highest?

Q.

The atmosphere is held to the Earth due to:

1. Gravitational force of Sun

2. Rotation of Earth

3. Gravitational force of Earth

4. Gravitational force of Moon

Q.

The acceleration due to gravity is $g$ at a point distance $r$ from the center of earth $R$. if $r<R$ then

1. $g\propto r$

2. $g\propto r^2$

3. $g\propto r^{-2}$

4. $g\propto r^{-1}$

Q. Find the acceleration due to gravity 'g' in terms of mean density of the Earth 'd'. Assume it to be a perfect sphere.

1. $4\pi r^{2}dG$​
2. $\frac{4\pi r^2}{G}$
3. $\frac{3}{4\pi RdG}$
4. $\frac{4\pi RdG}{3}$

Q.

Where is the acceleration due to gravity minimum and maximum on the surface of the earth?

Q. The acceleration due to gravity on earth depends upon the

1. Mass of the body
2. Mass of the earth
3. Shape and size of the body
4. Volume of the body

Q.

Sometimes we use 9.8 $m/s^2$ for the value of acceleration due to gravity and sometimes we use 10 $m/s^2$ for the value of acceleration due to gravity. What is the reason behind this?

Q.

The value of 'g' is minimum:

1. at poles of earth

2. at equator of earth

3. in mines

4. on hills

Q.

Calculate the acceleration due to gravity on the surface of Mars having a mass of $6.4x{10}^{23}$ and a radius of $3.37x{10}^{6}m$.

Q. On what factors does the value of g depend?

Q.

Determine the acceleration due to gravity at a height of $h=2R_E$ from the earths surface ? Take acceleration due to gravity at earths surface to be $10{\text{ms}}^{-2}$.

Q. Two planets have radii $r_1$ and $r_2$ and densities $d_1$ and $d_2$ respectively. The ratio of the acceleration due to gravity on them will be

1. $r_1{d}_2:r_2{d}_1$
2. $r_1{d}_1:r_2{d}_2$
3. $r_1^2{d}_1:r_2^2{d}_2$
4. $r_1{d}_1^2:r_2{d}_2^2$

Q. For moon, $g=1.67m{s}^{-2}$ and $R=1.74\times {10}^{6}m$.
The Moon's mass is ___ $\times {10}^{22}kg$.

1. 7.6

Q. Why is acceleration due to gravity of earth independent of mass?

Q.

Gravitational force acts on all objects in proportion to their masses, still a heavy object does not fall faster than a light object because

1. of the air friction

2. acceleration due to gravity does not depend upon the mass of an object

3. during falling, masses are considered negligible

4. because heavy object produces less acceleration due to gravity as compared to light object

Q. Acceleration due to gravity for a body is independent of .

1. mass of body
2. mass of Earth
3. radius of Earth

Q.

Does the acceleration produced in a freely falling body depend on the mass of the body ?

Q.

If the earth suddenly stops rotating, then the weight of an object of mass $m$ at the equator will [$\omega$ is the angular speed of the earth and $R$ is its radius ] :

1. decreases by $m{\omega }^{2}R$

2. increase by $m{\omega }^{2}R$

3. decrease by $m\omega R^2$

4. increase by $m\omega R^2$

Q. Question 4
An iron sphere of mass 10 kg has the same diameter as an aluminium sphere of mass is 3.5 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same

(a) acceleration
(b) momenta
(c) potential energy
(d) kinetic energy

Q.

Assertion: The value of acceleration due to gravity does not depend on the mass of the body.

Reason: Acceleration due to gravity is a constant quantity.

1. Both Assertion and Reason are true. Reason is the correct explanation of Assertion.

2. Both Assertion and Reason are true. Reason is not the correct explanation of Assertion.

3. Assertion is true and Reason is false.

4. Both Assertion and Reason are false.

Q.

Calculate the value of acceleration due to gravity on the surface of a planet, which has mass, twice as that of Earth, and radius, half as that of Earth.