The magnitude of the gravitational attraction between the earth and a particle is 40N. If the mass of the particle is 4kg. Calculate the magnitude of the gr...
The magnitude of the gravitational attraction between the earth and a particle is 40N. If the mass of the particle is 4kg. Calculate the magnitude of the gravitational field intensity of the earth on the particle
Answer Details
The gravitational attraction between two objects depends on their masses and the distance between them. The formula for calculating gravitational force is:
F = G(m1m2)/r^2
Where F is the force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.
We are given that the gravitational force between the earth and the particle is 40N, and the mass of the particle is 4kg. The mass of the earth is much larger than the mass of the particle, so we can assume that the distance between them is the radius of the earth.
The gravitational field intensity at a point is defined as the force per unit mass experienced by a test particle placed at that point. So, the gravitational field intensity of the earth on the particle can be calculated by dividing the gravitational force by the mass of the particle:
g = F/m
Substituting the given values, we get:
g = 40N/4kg
g = 10.0N kg^-1
Therefore, the magnitude of the gravitational field intensity of the earth on the particle is 10.0N kg^-1. This is.