Advertisements
Advertisements
प्रश्न
The acceleration of the moon just before it strikes the earth in the previous question is
विकल्प
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
Is there any meaning of “weight of the earth”?
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?
The acceleration of moon with respect to earth is 0⋅0027 m s−2 and the acceleration of an apple falling on earth' surface is about 10 m s−2. Assume that the radius of the moon is one fourth of the earth's radius. If the moon is stopped for an instant and then released, it will fall towards the earth. The initial acceleration of the moon towards the earth will be
Suppose, the acceleration due to gravity at the earth's surface is 10 m s−2 and at the surface of Mars it is 4⋅0 m s−2. A 60 kg passenger goes from the earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of the following figure best represents the weight (net gravitational force) of the passenger as a function of time?
If the acceleration due to gravity at the surface of the earth is g, the work done in slowly lifting a body of mass m from the earth's surface to a height R equal to the radius of the earth is
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.
A particle is fired vertically upward from earth's surface and it goes up to a maximum height of 6400 km. Find the initial speed of particle.
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.
If the acceleration due to gravity becomes 4 times its original value, then escape speed ____________.
If both the mass and the radius of the earth decrease by 1%, then the value of acceleration due to gravity will
A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in the sky and take acceleration due to gravity on the surface of the Earth and Mars as 10 m/s2 and 4 m/s2 respectively. Identify from the below figures, the curve that fits best for the weight of the passenger as a function of time.
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)
If the radius of the earth shrinks by 2% while its mass remains the same. The acceleration due to gravity on the earth's surface will approximately ______.
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 ______.
