Advertisements
Advertisements
प्रश्न
At what height above the earth's surface would the value of acceleration due to gravity be half of what it is on the surface? Take the radius of earth to be R.
Advertisements
उत्तर
As we know
`g= GxxM/R^2`
So let at height H the value of g is half that of the earth earth surface
then g at R + H would be equal to
`g'= GxxM/(R+H)^2`
Now g'/g=1/2
1/2= R2/ (R+H)2
(R+H)2=2R2
R+H = √2 R
H = (√2-1) R
APPEARS IN
संबंधित प्रश्न
Write the answer of the question with reference to laws of gravitation.
State the universal law of gravitation.
At noon, the sun and the earth pull the objects on the earth's surface in opposite directions. At midnight, the sun and the earth pull these objects in same direction. Is the weight of an object, as measured by a spring balance on the earth's surface, more at midnight as compared to its weight at noon?
Derive an expression for the gravitational field due to a uniform rod of length L and mass M at a point on its perpendicular bisector at a distance d from the centre.
A particle of mass 100 g is kept on the surface of a uniform sphere of mass 10 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle away from the sphere.
The mass of moon is about 0.012 times that of earth and its diameter is about 0.25 times that of earth. The value of G on the moon will be:
A ball is thrown vertically upwards. It goes to a height 20 m and then returns to the ground. Taking acceleration due to gravity g to be 10 ms-2 , find :
the total time of journey of the ball .
Define one Newton. How much maximum acceleration can it produce in a mass of 1 kg?
What does a force do in the following case?
You pull the skin of your arm
Two particles of equal mass 'm' go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle with respect to its centre of mass is ______.
Observe the figure and answer the questions:
- State Newton's universal law of gravitation.
- If the distance between the two bodies is tripled, how will the gravitational force between them change?
- What will happen to gravitational force, if mass of one of the object is doubled?
