The force of gravity between two objects is given by the equation:
F = G * ( (m1 * m2) / r^2)
where F is the force of gravity, m1 and m2 are the masses of the two objects, r is the distance between them, and G is the gravitational constant.
If the distance is increased by 10 times (r becomes 10r), the new force of gravity F' becomes:
F' = G * ( (m1 * m2) / (10r)^2)
F' = G * ( (m1 * m2) / 100r^2)
F' = (1/100) * G * ( (m1 * m2) / r^2)
Since the initial force of gravity F is:
F = G * ( (m1 * m2) / r^2)
We can find the relationship between F and F':
F' = (1/100) * F
So, the change in the force of gravity is:
ΔF = F - F'
ΔF = F - (1/100) * F
ΔF = (99/100) * F
The force of gravity has decreased to 1/100 of its initial value when the distance between the two planets increased by 10 times.
Find the change in the force of gravity between two planets when their masses remain the same but the distance between them is increased by 10 times.
1 answer
1 answer