Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Write the answer of the question with reference to laws of gravitation.
State the universal law of gravitation.
If you compare the gravitational force on the Earth due to the Sun to that due to the Moon, you would find that the Sun’s pull is greater than the Moon’s pull. (You can check this yourself using the data available in the succeeding exercises). However, the tidal effect of the Moon’s pull is greater than the tidal effect of Sun. Why?
State whether the gravitational force between two masses is attractive or repulsive ?
A ball is thrown up with a speed of 4.9 ms-1.
Calculate the maximum height it would gain before it begins to fall.
A ball is thrown up with a speed of 4.9 ms-1.
Calculate the time it takes to reach this height.
What is the difference between gravity and gravitation?
The gravitational force between two bodies is directly proportional to the product of the masses of those bodies and is _______ of the distance between them.
Complete the chart below.
| F(N) | M1(kg) | M2(kg) | D(m) |
| (a) | 50 | 84 | 02 |
| 16 × 109 | 1.63 × 1022 | (b) | 34 |
Find the gravitational force of attraction between the ring and sphere as shown in the diagram, where the plane of the ring is perpendicular to the line joining the centres. If `sqrt8` R is the distance between the centres of a ring (of mass 'm')and a sphere (mass 'M') where both have equal radius 'R'.
Newton's universal law of gravitation applies to ______.
