In calculating the force of gravity between two objects, if the mass of one objects increased by 4 and the other by 2, how many times would the force of gravity increase?
Ok well Im horrible at physics but the way I understood it was that you would take 4 times 2 then divide by 2 which would be 8/2= 4. So four would be the answer?
In calculating the force of gravity between two objects, if the distance between the objects is increased by 4 times, the force of gravity will....
I think its increase by 1/4.
If either of these are wrong can someone at least give me the formulas explained in words so I can retry and repost.
Force of gravity= gravitational constant x Mass1 x Mass2 /r^2 so if Mass1 increases by 4 and the other by 2 then it would increase by 8.
Between 2 objects,
Inverse Square Law: Gravity at A = gravity at B × (distance B / distance A)2
It would be (1/4)^2 or 1/16
If the distance between two objects is increased to four times the original distance, how will that increase change the force of attraction between the objects?
To calculate the force of gravity between two objects, you can use the formula:
F = (G * m1 * m2) / r^2
Where:
- F is the force of gravity between the objects
- G is the gravitational constant (approximately 6.67 x 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 objects
Let's break down the calculations for each question:
Question 1: If the mass of one object increased by 4 and the other by 2, how many times would the force of gravity increase?
Let's assume the masses of the objects are m1 and m2. If one mass increases by 4 (say, m1 becomes 4m1) and the other by 2 (say, m2 becomes 2m2), the new force of gravity can be calculated as:
New F = (G * (4m1) * (2m2)) / r^2
To find how many times the force of gravity increased, we can compare the new force (New F) with the original force (F):
Increase = (New F) / (F)
Increase = [(G * (4m1) * (2m2)) / r^2] / [(G * m1 * m2) / r^2]
= (4m1 * 2m2) / (m1 * m2)
= (8m1m2) / (m1m2)
= 8
Therefore, the force of gravity would increase by 8 times.
Question 2: If the distance between the objects is increased by 4 times, how would the force of gravity change?
Let's assume the original distance between the objects is r. If the distance increases by 4 times, the new distance would be 4r. To calculate the new force of gravity, we can substitute the new distance into the formula:
New F = (G * m1 * m2) / (4r)^2
= (G * m1 * m2) / 16r^2
To find how the force of gravity changes, we can compare the new force (New F) with the original force (F):
Change = (New F) / (F)
Change = [(G * m1 * m2) / 16r^2] / [(G * m1 * m2) / r^2]
= (1 / 16)
Therefore, the force of gravity would decrease by a factor of 1/16 or 1/4 when expressed as a decimal.
I hope this helps you understand how to calculate the force of gravity between two objects and how to solve these specific questions.