A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is [2022]
0.05 N/kg
50 N/kg
20 N/kg
180 N/kg
(2)
According to universal law of gravitation, gravitational force is
...(i)
Given that, F = 3.0 N and
We know that, gravitational field intensity at point,
Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will [2017]
move towards each other
move away from each other
will become stationary
keep floating at the same distance between them.
(1)
Since two astronauts are floating in gravitational free space. The only force acting on the two astronauts is the gravitational pull of their masses,
which is attractive in nature.
Hence they move towards each other.
Kepler's third law states that square of period of revolution (T) of a planet around the sun is proportional to the third power of average distance r between sun and planet, i.e., here K is a constant. If the masses of the sun and planet are M and m respectively, then as per Newton’s law of gravitation, the force of attraction between them is here G is the gravitational constant. The relation between G and K is described as [2015]
(4)
Gravitational force of attraction between sun and planet provides centripetal force for the orbit of planet.
...(i)
Time period of the planet is given by
...(ii)
According to question, ...(iii)
Comparing equations (ii) and (iii), we get
Dependence of intensity of gravitational field () of earth with distance () from centre of earth is correctly represented by [2014]
(1)
For a point inside the earth i.e.
where M and R be mass and radius of the earth respectively.
At the centre,
For a point outside the earth i.e. ,
On the surface of the earth i.e.
The variation of with distance from the centre is as shown in the figure.
