Question:

Two objects, A and B, are separated by a distance of 10 meters. Object A has a mass of 5 kilograms and object B has a mass of 10 kilograms. Calculate the magnitude of the gravitational force acting on object A due to object B.

Given:

• Gravitational constant (G) = 6.67 x 10^(-11) N m^2 / kg^2

Answer:

The magnitude of the gravitational force between two objects can be calculated using the formula:

F = (G * m₁ * m₂) / r^2

Where,

• F is the magnitude of the gravitational force
• G is the gravitational constant
• m₁ and m₂ are the masses of the objects
• r is the distance between the objects

In this case, the mass of object A is 5 kg, the mass of object B is 10 kg, and the distance between them is 10 meters. We can substitute these values into the formula:

F = (6.67 x 10^(-11) N m^2 / kg^2) * (5 kg) * (10 kg) / (10 m)^2

Simplifying the equation, we get:

F = (6.67 x 10^(-11) N m^2 / kg^2) * 50 kg^2 / 100 m^2

F = 3.34 x 10^(-10) N

Therefore, the magnitude of the gravitational force acting on object A due to object B is 3.34 x 10^(-10) Newtons.