Two 200kg masses (400lb)are separated by a distance of 0.75m Using Newtons law of gravitation,find the magnitude of gravitational force exerted by one mass on the other.
To find the magnitude of the gravitational force exerted by one mass on the other, we can use Newton's law of gravitation formula:
F = (G * m1 * m2) / r^2
Where:
F is the magnitude of the gravitational force,
G is the gravitational constant (approximately 6.67430 x 10^-11 N m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Given:
m1 = m2 = 200 kg
r = 0.75 m
Let's plug in the values into the formula and calculate the magnitude of the gravitational force:
F = (6.67430 x 10^-11 N m^2/kg^2 * 200 kg * 200 kg) / (0.75 m)^2
F = (6.67430 x 10^-11 N m^2/kg^2 * 40000 kg^2) / 0.5625 m^2
F = (26.6972 x 10^-7 N m^2) / 0.5625 m^2
F ≈ 4.7522 x 10^-7 N
Therefore, the magnitude of the gravitational force exerted by one mass on the other is approximately 4.7522 x 10^-7 N (Newton).
To find the magnitude of the gravitational force between two masses using Newton's law of gravitation, you can use the following formula:
F = (G * m1 * m2) / r^2
Where:
- F is the magnitude of the gravitational force
- G is the gravitational constant, which is approximately 6.674 × 10^-11 N(m/kg)^2
- m1 and m2 are the masses of the objects
- r is the distance between the centers of the masses
In this scenario, the masses of the objects are given as 200 kg (m1) and 200 kg (m2), and the distance between them is given as 0.75 m (r).
Plugging in the values into the formula, we get:
F = (6.674 × 10^-11 N(m/kg)^2 * 200 kg * 200 kg) / (0.75 m)^2
F = (2.6696 × 10^-8 N(m/kg)^2) / (0.5625 m^2)
F ≈ 4.754 × 10^-8 N
Therefore, the magnitude of the gravitational force exerted by one mass on the other is approximately 4.754 × 10^-8 Newtons.
you must know (or have seen) the equation
force = mass1 * mass2 * universal gravitation constant / distance^2