two bodies of mass 10kg and 50kg are at a distance 1 km from each other. What is the force between them?
Question
Two bodies of mass 10kg and 50kg are at a distance 1 km from each other. What is the force between them?
Solution
The force between two bodies due to gravity can be calculated using Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
where:
- F is the force between the bodies,
- G is the gravitational constant,
- m1 and m2 are the masses of the two bodies, and
- r is the distance between the centers of the two bodies.
Given:
- G = 6.674 * 10^-11 N(m/kg)^2,
- m1 = 10 kg,
- m2 = 50 kg, and
- r = 1 km = 1000 m.
Substituting these values into the formula, we get:
F = 6.674 * 10^-11 * (10 * 50) / 1000^2 F = 6.674 * 10^-11 * 500 / 1000000 F = 3.337 * 10^-9 N
So, the force between the two bodies is approximately 3.337 * 10^-9 Newtons.
Similar Questions
Calculate the gravitational force between two objects of masses kilogram and kilogram
The distance between the two masses in the previous situation is halved. Determine the gravitational force in this new situation.
What is the magnitude of the gravitational force between the earth and the sun, given that the distance between their centres is 1.5 x 10^11 m?
The two bodies A and B are placed in space. The body A exerts a force of 20 N on B for 6 s. What would be the impulse on B by A?
Two particles of massesm1 andm2 are placed at a distancer. The ratio of gravitational force on massm1 due tomassm2 and on massm2 due to massm1
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.