A body A of a mass 0.16 kg exerts a force of 6.2x10^-10 N on a body B when the distance between their centers is 0.37 meters. What is the mass of body B?
3.5
To find the mass of body B, we can use Newton's law of gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula for gravitational force is:
F = G * (m1 * m2) / r^2
Where:
F is the force between the two bodies
G is the gravitational constant (6.67 × 10^-11 N m^2/kg^2)
m1 is the mass of body A
m2 is the mass of body B
r is the distance between their centers.
In this case, we know the force, distance, and mass of body A. We need to solve for the mass of body B. Rearranging the formula, we get:
m2 = (F * r^2) / (G * m1)
Plugging in the values:
m2 = (6.2 x 10^-10 N * (0.37 m)^2) / (6.67 x 10^-11 N m^2/kg^2 * 0.16 kg)
Calculating this expression will give us the mass of body B.