Question 3 :
The value of 'g' at the depth from the ground goes on  _____________.

Question 4 :
If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is given by:<br/>

Question 6 :
<span>The total mechanical energy E possessed by a body of mass 'm', &#160;moving with a velocity 'v' at a height 'h' is given by : $E\, =\, \displaystyle \frac{1}{2}\, mv^{2}\, +\, mgh.$&#160;</span>Make 'm' the subject of formula.

Question 7 :
<span>A feather of mass $m$ and a hammer of mass $100m$ are both released from rest from the same height on the surface of the moon. Mass of moon is $M$ and radius of moon is $R$. Both feather and hammer are released simultaneously. What is the acceleration of the hammer?</span>

Question 8 :
If the acceleration due to gravity, $g$, is $10m/s^2$ at the surface of the earth (radius $6400km$), then at a height of $1600km$ the value of $g$ will be? (in $m/s^2$)

Question 9 :
If rope of lift breaks suddenly, the tension exerted by the surface of lift (a=acceleration of lift)

Question 10 :
The acceleration due to gravity on the surface of a planet, whose mass and diameter are double that of the earth, is____&#160; $\times 10^{-1}$ times the acceleration due to gravity on the surface of the earth.

Question 12 :
Identify which of the following statement is correct for acceleration due to gravity on earth:<br/>

Question 13 :
If a planet consists of a satellite whose mass and radius were both half that of the earth, then the acceleration due to gravity at the surface of the planet would be

Question 14 :
The mass of earth is $80$ times that of moon and its diameter is double that of moon. If the value of acceleration due to gravity on earth is $9.8$ $ms^{-2}$ then the value of acceleration due to gravity on moon will be?

Question 15 :
The mass of a planet is $5$ times the mass of the earth but its diameter is the same as that of the earth. How much work is done in lifting a stone of mass $3\ kg$ through a distance of $1\ m$ on this planet?

Question 16 :
The radius of the earth is $R$ and acceleration due to gravity at its surface is '$g$'. If a body of mass '$m$' is sent to a height of $R/4$ from the earth's surface, the potential energy is:

Question 17 :
When the radius of earth is reduced by 1% with out changing the mass, then the acceleration due to gravity will&nbsp;<br><br>

Question 18 :
What is value of gravitational acceleration at the center of the earth ?

Question 19 :
The radius of earth is about 6400 km and that ofmars is 3200 km. The mass of the earth is 10 times the mass of mars. An object weight 200 N on the surface of earth. Its weight on the surface of mars&nbsp;will be.

Question 20 :
Gravitation on moon is $\dfrac{1}{6} th$&nbsp;of that on earth. When&nbsp;a balloon filled with hydrogen is released on moon&nbsp;then this.

Question 21 :
A skylab of mass m kg is first launched from the surface of the earth in a circular orbit of radius $2$R(from the centre of the earth) and then it is shifted from this circular orbit to another circular orbit of radius $3$R. The minimum energy required to place the lab in the first orbit and to shift the lab from first orbit to the second orbit are.

Question 22 :
<span>If $R$ is the radius of the earth and $g$<i>&nbsp;</i>the acceleration due to gravity on the earth's surface, then mean density of the earth is:</span>

Question 23 :
The distance between two planets of masses M and 4M is 'a' what is the gravitational potential at a point on a line joining them of which the gravitational intensity is zero?

Question 24 :
The work done by external agent to shift a point mass from infinity to the centre of earth is :

Question 25 :
A body weighs $160\ N$ on the earth. Find its weight on another planet whose mass is $\dfrac {1}{4}th$ the mass of earth and radius $\dfrac {1}{3}rd$ that of the earth.