Advertisements
Advertisements
Question
How does the force of gravitation between two objects change when the distance between them is reduced to half?
Advertisements
Solution
We know that gravitational force between two objects (F) = GMmr2
Hence, F ∝ `1/r^2`
Where r represents the distance.
If the distance is halved, then r = `r/2`
F ∝ `1/(r/2)^2`
F ∝ `1/(r^2/4)`
F ∝ `4/r^2`
Hence, if the distance between two objects is halved, then the gravitational force between them will become 4 times.
APPEARS IN
RELATED QUESTIONS
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 1024 kg and radius of the earth is 6.4 × 106 m).
Which of the Kepler’s laws of planetary motion led Newton to establish the inverse-square rule for gravitational force between two bodies ?
The weight of an object is more at the poles than at the equator. Is it beneficial to purchase goods at equator and sell them at the pole? Does it matter whether a spring balance is used or an equal-beam balance is used?
Where will you weigh more: at the moon's surface or at the earth's surface?
What does a force do in the following case?
You apply brakes to a running car.
What is the difference between gravity and gravitation?
Answer the following question.
What are the dimensions of the universal gravitational constant?
Solve the following problem.
Calculate the acceleration due to gravity at a height of 300 km from the surface of the Earth. (M = 5.98 × 1024 kg, R = 6400 km).
Give the applications of universal law gravitation.
Write the answer of the question with reference to laws of gravitation.
Write the value of the universal gravitational constant.
