Gravitational force of attraction "F" exists between two point masses A and B when a fixed distance separates them. After mass A is doubled and mass B is quarted, the gravitational attraction between the two masses is:
Do you add 2 and 4?
Multliply. F= GMm/r^2
To calculate the gravitational force of attraction between two masses, you need to use Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force of attraction between the masses,
G is the gravitational constant (approximately 6.67430 × 10^-11 N m^2 / kg^2),
m1 and m2 are the masses of the two point masses, and
r is the distance between the centers of the two masses.
In this scenario, mass A is doubled and mass B is quartered. Let's say the original masses are mA and mB, respectively.
After doubling mass A, the new mass of A is 2 * mA = 2mA.
After quartering mass B, the new mass of B is mB / 4.
Now, let's assume the distance between A and B remains unchanged.
Plugging these values into the formula, we get:
F' = G * (2mA * (mB/4)) / r^2
= G * (mA * mB) / 2 * r^2
Since we canceled out the factor of 4 from the numerator and denominator, we see that the new gravitational attraction (F') between the doubled mass A and quartered mass B is half of the original gravitational attraction (F) between the original masses A and B.