Find the change in the force of gravity between two planets when distance between them is decreased by 12
Use F=G(m1m2/r^2)
To find the change in the force of gravity between two planets when the distance between them is decreased by 12 units, you need to use the formula for gravitational force:
F = G * (m1 * m2) / r^2
where:
F is the force of gravity
G is the gravitational constant (approximately 6.674e-11 N m²/kg²)
m1 and m2 are the masses of the two planets
r is the distance between the centers of the two planets
To determine the change in force, we need to calculate the initial force and the force after decreasing the distance by 12 units. Let's assume the initial distance between the planets is d, and the decreased distance is d - 12.
1. Calculate the initial force:
Let's say the masses of the two planets are m1 and m2, and the initial distance between them is d.
F_initial = G * (m1 * m2) / d^2
2. Calculate the force after decreasing the distance:
The new distance between the planets is d - 12.
F_final = G * (m1 * m2) / (d - 12)^2
3. Find the change in force:
To calculate the change in force, subtract the initial force from the final force.
Change in force = F_final - F_initial
By plugging in the values for the masses of the two planets, the initial distance, and the gravitational constant, you can calculate the change in the force of gravity between the two planets when the distance is decreased by 12 units.