In calculating the force of gravity between two objects, if the mass of one object increased by 4 and the other by 2, how many times would the force of gravity increase?
I still don't understand but drwl's said that its proportional to the product not the sum and my original answer was 6 but I changed it to 8. All I did was multiply 4 and 2 instead of add them so my answer is 8
F1 = GMm/r^2
F2 = G(4M)2m/r^2
F2 = 8GMm/r^2
I got nothing can you put a few words with that please?
To calculate the force of gravity between two objects, you can use Newton's law of universal gravitation, which states that the force of gravity is proportional to the product of the masses and inversely proportional to the square of the distance between them.
Let's denote the masses of the two objects as M1 and M2. According to the given information, M1 increases by 4 and M2 increases by 2.
If we assume that the distance remains constant, then the force of gravity is proportional to M1 * M2. So, if M1 increases by a factor of 4 (original mass + 4) and M2 increases by a factor of 2 (original mass + 2), the force of gravity will increase by a factor of (original mass + 4) * (original mass + 2).
For example, if the original mass of the objects is 1, and M1 increases to 5 and M2 increases to 3, then the force of gravity will increase by a factor of (5 * 3) / (1 * 1) = 15.
Hence, if you correctly multiplied the increased masses, your answer of 8 is correct. The force of gravity would increase by a factor of 8.