Describe how the gravitational force between two objects depends on the distance between them.
We know the formula of the gravitational force of attraction between two objects.
$F=G\frac{m_1m_2}{r^2}$
Here, $F\rightarrow$gravitational force
$G\rightarrow$gravitational constatnt
$m_1\rightarrow$mass of the first object
$m_2\rightarrow$ mass of the second object
$r\rightarrow$distance between the two object
If we double the distance between the two objects, the force fo attraction $F=G\frac{m_1m_2}{(2r)^2}$
$=\frac{1}{4}\times G\frac{m_1m_2}{r^2}$
Therefore, on doubling the distance between the two objects, the gravitational force of attraction becomes one-fourth.
If we half the distance between the two objects, the gravitational force of attraction is as:
$F=G\frac{m_1m_2}{(\frac{r}{2})^2}$
Or $F=4\timesG\frac{m_1m_2}{r^2}$
Therefore, if the distance between the two objects is reduced to its half, the gravitational force between the object becomes four times.
Related Articles
- What happens to the gravitational force between two objects when the distance between them is: (i) doubled? (ii) halved?
- What is the gravitational force between two objects?
- The gravitational force of attraction between two objects is $x$. Keeping the masses of the objects unchanged, if the distance between the objects is halved, then the magnitude of gravitational force between them will(a) $x/4$(b) $x/2$(c) $2x$(d) $4x$
- The gravitational force between two objects is $F$. If masses of both objects are halved without changing distance between them, then the gravitational force would become$(a).\ F/4$$(b).\ F/2$$(c).\ F$$(d).\ 2F$
- Python Program to Find the Gravitational Force Acting Between Two Objects
- Golang Program to Find the Gravitational Force Acting Between Two Objects
- How does the force of gravitation between two objects change when the distance between them is reduced to half ?
- Difference between Gravitational Force and Electrostatic Force
- Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be$(a)$. 1/4 times$(b)$. 4 times$(c)$. 1/2 times$(d)$. unchanged
- Two particles are placed at some distance from each other. If, keeping the distance between them unchanged, the mass of each of the two particles is doubled, the value of gravitational force between them will become:(a) 1/4 times(b) 1/2 times(c) 4 times(d) 2 times
- Is Gravitational Force zero on the Moon?
- Find the gravitational force exerted between two objects A and \( B \), of mass \( 10 \mathrm{g} \) and \( 20 \mathrm{g} \) respectively, separated by a distance of \( 10 \mathrm{cm} \).
- What happens to the force between two objects, if$(i)$. the mass of one object is doubled?$(ii)$. the distance between the objects is doubled and tripled?$(iii)$. the masses of both objects are doubled?
- Gravitational force between two-point objects having masses m1 and m2 separated by distance 'r' from their centres is (A) Directly proportional to product of their masses and inversely proportional to distance between their centers.(B) Directly proportional to product of their masses and is independent of distance between the masses. (C) Depends on distance between the masses and is independent of magnitude of masses.(D) Directly proportional to product of their masses and inverse.
- The force of attraction between two unit point masses separated by a unit distance is called:(a) gravitational potential(b) acceleration due to gravity(c) gravitational field strength(d) universal gravitational constant
Kickstart Your Career
Get certified by completing the course
Get Started