Advertisements
Advertisements
प्रश्न
The acceleration of the moon just before it strikes the earth in the previous question is
पर्याय
10 m s−2
0⋅0027 m s−2
6⋅4 m s−2
5⋅0 m s−2
Advertisements
उत्तर
6⋅4 m s−2
According to the previous question, we have :
Radius of the moon, \[R_m = \frac{R_e}{4} = \frac{6400000}{4} = 1600000 m\]
So, when the Moon is just about to hit the surface of the Earth, its centre of mass is at a distance of (Re + Rm) from the centre of the Earth.
Acceleration of the Moon just before hitting the surface of the earth is given by
\[g' = \frac{GM}{( R_e + R_m )^2} = \frac{GM}{{R_e}^2 (1 + \frac{R_m}{R_e} )^2}\]
\[ \Rightarrow g' = \frac{g}{(1 + \frac{R_m}{R_e} )^2} = \frac{10}{(1 + \frac{1}{4} )^2} = \frac{10 \times 16}{25}\]
\[ \Rightarrow g' = 6 . 4 m/ s^2\]
APPEARS IN
संबंधित प्रश्न
If heavier bodies are attracted more strongly by the earth, why don't they fall faster than the lighter bodies?
The earth revolves round the sun because the sun attracts the earth. The sun also attracts the moon and this force is about twice as large as the attraction of the earth on the moon. Why does the moon not revolve round the sun? Or does it?
An apple falls from a tree. An insect in the apple finds that the earth is falling towards it with an acceleration g. Who exerts the force needed to accelerate the earth with this acceleration g?
Take the effect of bulging of earth and its rotation in account. Consider the following statements :
(A) There are points outside the earth where the value of g is equal to its value at the equator.
(B) There are points outside the earth where the value of g is equal to its value at the poles.
Find the acceleration due to gravity of the moon at a point 1000 km above the moon's surface. The mass of the moon is 7.4 × 1022 kg and its radius is 1740 km.
What is the acceleration due to gravity on the top of Mount Everest? Mount Everest is the highest mountain peak of the world at the height of 8848 m. The value at sea level is 9.80 m s−2.
Find the acceleration due to gravity in a mine of depth 640 m if the value at the surface is 9.800 m s−2. The radius of the earth is 6400 km.
A particle is fired vertically upward with a speed of 15 km s−1. With what speed will it move in interstellar space. Assume only earth's gravitational field.
Explain the variation of g with latitude.
Explain the variation of g with altitude.
The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity ______.
Which of the following options are correct?
- Acceleration due to gravity decreases with increasing altitude.
- Acceleration due to gravity increases with increasing depth (assume the earth to be a sphere of uniform density).
- Acceleration due to gravity increases with increasing latitude.
- Acceleration due to gravity is independent of the mass of the earth.
If R is the radius of the earth and g is the acceleration due to gravity on the earth's surface, the mean density of the earth is ______.
A ball is immersed in water kept in container and released. At the same time container is accelerated in horizontal direction with acceleration, `sqrt44` m/s2. Acceleration of ball w.r.t. container is ______ m/s2 (specific gravity of ball = 12/17, g = 10 m/s2)
The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of the earth will, be ______.
(Radius of earth = 6400 km)
The mass of a planet is `1/10`th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is ______.
