The image shows two objects of mass, m1 and m2 separated by distance, r. If m1 is 10 kg, m2 is 100 kg, and r is 10 m, what is the amount of gravitational force, F between them?
Which option is correct in the image
Answers
Answer:
B) 6.673x10-10N is the correct answer
Given,
Mass M1 = 10 Kg
Mass M2 = 100 Kg
Distance of separation between the two masses = 10 meters
To find,
The amount of gravitational force, F between them.
Solution,
We can simply solve this numerical problem by using the following process:
As per gravitational law;
The gravitational force acting between two bodies of mass M and m, separated by a distance d, is mathematically represented as;
F = (G ×M×m)/R^2,
where G = Gravitational constant
= 6.67408 × 10-11 m3 kg-1 s-2
M = mass of the first body
m = mass of the second body
R = distance of separation
Now, according to the question;
The amount of gravitational force, F between them = F = (G ×M×m)/R^2
= G × (mass of M1) × (mass of M2)/(distance of separation between the two masses)^2
= (6.67408 × 10-11 m3 kg-1 s-2) × {10 Kg × 100 Kg}/(10 m)^2
= (6.67408 × 10-11 m3 kg-1 s-2) × {10 Kg × 100 Kg}/100 m^2
= 6.67408 × 10-10 N
=> The amount of gravitational force, F between them = F = 6.67408 × 10-10 N
Hence, the amount of gravitational force, F between the two given masses is equal to 6.67408 × 10-10 N. (Option-B)