Question 1 :
At the Earth, a block of mass $m$ which rest on the frictionless table,  let $F$ be the force required to produce acceleration $a$. Calculate the force at the Moon to produce same acceleration if  $g_{moon}$ is one sixth of $g_{earth}$.
Question 2 :
The mass of an wooden cube of edge 10 cm is 800 g. If the mass of an equal volume of water is 1 kg, then find the relative density of a wooden cube.<br>
Question 3 :
The mass of a body is can be zero whereas the weight of a body can never be zero. True or false.
Question 4 :
According to the law of floatation weight of floating body is -
Question 5 :
The weight of a body on the surface of the moon is $\dfrac {1}{6}th$ of that on the earth's surface. It is because acceleration due to gravity on the surface of the moon is six times that on the surface of the earth.
Question 6 :
When an object moves with a constant acceleration, under the influence of force of gravitation of the earth only, the object is said to have:
Question 8 :
A body is heated. What is the effect on its relative density?
Question 9 :
The upward force exerted by the floating body on the fluid is known as upthrust.
Question 10 :
Ice is floating on water in a beaker when ice completely melts then level of water in beaker:
Question 11 :
If ${M}_{E}$ is the mass of the earth and ${R}_{E}$ its radius, the ratio of the acceleration due to gravity and the gravitational constant is:
Question 12 :
On the earth, a Sumo of 420 kg is checking his reading on a spring balance. To have the same reading of spring balance on the moon, how many Sumos of mass 420 kg each should stand on it. Explain. (g = 30 m s$^{-2}$)<br>
Question 13 :
Upthrust on the block if it is held fully immersed in water is $X\ kgf$. Find [$\dfrac{X}{3}$].  {Where , [] is step function}.
Question 14 :
A spring balance and a physical balance are kept in a lift. In these balances equal masses are placed. If now the lift starts moving upwards with constant acceleration, then
Question 15 :
Assertion: A force is needed to keep a block of cork inside water.
Reason: When Upthrust due to water on block when fully submerged is more than its weight ,force is needed to keep block inside water.
Question 16 :
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 17 :
Fill in the blank. The loss of weight of an object that is immersed in water is numerically equal to the ________ .<br/>
Question 18 :
A stone drop from height 'h' reaches to earth surfacein 1 sec. If the same stone taken to moon and dropfreely then it will reaches from the surface of themoon in the time:
Question 19 :
A ball is dropped into water from a height of 9 cm. The density of ball is $0.4 \times 10^3 \,kg/m^3$, then, to what depth does the ball sink?
Question 23 :
A mass $M$ is split into two parts $m$ and $\left(M-m\right)$ which are then separated by a certain distance. The ratio ${m}/{M}$ which maximizes the gravitational force between the parts is
Question 24 :
If the distance between the Sun and Earth is increased by three times then attraction between two will:
Question 25 :
Two balls are dropped from the same height from places $A$ and $B$. The body at $B$ takes two seconds less to reach the ground at $B$ strikes the ground with a velocity greater than at $A$ by $10 m/s$. The product of the acceleration due to gravity at the two places $A$ and $B$ is:
Question 26 :
Two bodies with masses $M_1$ and $M_2$ are initially at the rest and a distance $R$ apart. Then they move directly towards one another under the influence of their mutual gravitational attraction. What is the ratio of the distances traveled by $M_1$ to the distance traveled by $M_2$?
Question 27 :
When the radius of earth is reduced by 1% with out changing the mass, then the acceleration due to gravity will<br><br>
Question 28 :
Assertion: A block of wood is floating in a pond of water and its apparent weigth is zero.
Reason: The weight of water displaced (buoyant force) acting vertically upwards is just equal to the weight of the body which acts vertically downwards.
Question 29 :
A body of weight $1N$ is placed at the surface of the earth, which is assumed to be a perfect sphere of radius $6400 km $ . It is taken to a height of $600 km $ , the weight of the body, in $N$ , would be :
Question 30 :
If the mass of a planet is $10\%$ less than that of the earth and the radius is $20\%$ greater than that of the earth, the acceleration due to gravity on the planet will be.
Question 31 :
Two astronauts have deserted their spaceship in a region of space far from the gravitational attraction of any other body. Each has a mass of $100kg$ and they are $100m$ apart. They are initially at rest relative to one another. how long will it be before the gravitational attraction brings them $1cm$ closer together?<br>
Question 32 :
The angular velocity of the earth's rotation about its axis is $\omega$. An object weighed by a spring balance gives the same reading at the equator as at height $h$ above the poles, the value of $h$ will be:
Question 33 :
Consider two solid uniform spherical objects of the same density $\rho$. One has radius $R$ and the other has radius $2R$. They are in outer space where the gravitational fields from other objects are negligible. If they are arranged with their surface touching, what is the contact force between the objects due to their traditional attraction?<br>
Question 34 :
Assertion: If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become same at all the places.
Reason: The value of acceleration due to gravity is independent of rotation of earth.
Question 35 :
Two spherical bodies of mass $M$ and $5M$ and radii $R$ and $2R$ respectively are released in free space with initial separation between their centres equal to $12 R$. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
Question 36 :
The moon's radius is $1/4$ times that of the earth and its mass $1/80$ times that of the earth. If g represents the acceleration due to gravity on the surface of the earth, then on the surface of the moon its value is :<br/>
Question 37 :
A stone weight 100 N on the surface of the earth. The ratio of its weight at a height of half the radius of the earth to its weight at a depth of half the radius of the earth will be approximately
Question 38 :
A body weighs $160\ N$ on the earth. Find its weight on another planet whose mass is $\dfrac {5}{2}$ times mass of earth and radius $\dfrac {4}{5}$ times that of earth.
Question 39 :
ACCELERATION DUE TO GRAVITY OF THE EARTH<br>Radius of earth is 6400 km and that of mars is 3200 km. Mass of mars is 0.1 that of earth's mass. Then the acceleration due to gravity on mars is nearly.
Question 40 :
A research satellite of mass 200 kg circles the earth in an orbit of average radius $\displaystyle \dfrac{3\mathrm{R}}{2},$ where R is the radius of  the earth. Assuming the gravitational pull on a mass 1 kg on earth's surface to be 10 N, the pull on this satellite will be:<br/>
