the centers of two 5000 kg blocks are separated by 1.13 m.
What is the gravitational force between the two blocks?
What must be the distance between the centers of the blocks if the gravitational force decreases 25 times?
(1) F = G*M1*m2/R^2 = G *(5000)^2/(1.13)^2
Look up the value of G and compute.
(2) Five times more than 1.13 m, because of the inverse square dependence upon distance. .
I have the formula down ok. My problem is with the exponents. G = 6.67 x 10^-11. M1 and m2 = 25,000,000. I wrote down m1 and m2 as 2.5 x 10^7. I multiplied 6.67 by 2.5 and come out with 16.67. I do not know why but I know I need to move the decimal point over and come up with 1.6675 x 10^3. My denomenator comes up to 1.2769. Does this sound right?
To find the gravitational force between two objects, we can use Newton's Law of Universal Gravitation formula:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 × 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects
Let's calculate the gravitational force between the two 5000 kg blocks, where the distance between their centers is 1.13 m:
F = (6.67430 × 10^-11 N m^2/kg^2) * ((5000 kg) * (5000 kg)) / (1.13 m)^2
Calculating this equation will give us the answer to the first question.
To find the distance between the centers of the blocks if the gravitational force decreases 25 times, we can rearrange the formula to solve for r:
r = sqrt((G * (m1 * m2)) / (F_new))
Where F_new is the new gravitational force that is 25 times smaller.
Now, let's solve this equation to find the new distance between the centers of the blocks.