Calculate the force of gravatational attraction between two spheres of mass 10.1 kg and 45.4 kg that are 38.5 m apart.
F = G(m1)(m2)/r^2
= 6.67 x 10^-11(10.1)(45.4)/38.5^2
= 2.06 x 10 ^-11 N
I agree.
To calculate the force of gravitational attraction between two spheres, you can use the formula: F = G(m1)(m2)/r^2
In this formula:
- F represents the force of gravitational attraction
- G is the gravitational constant, which has a value of approximately 6.67 x 10^-11 N(m/kg)^2
- m1 and m2 are the masses of the two spheres
- r is the distance between the centers of the two spheres
In this particular problem, the given values are:
- m1 = 10.1 kg
- m2 = 45.4 kg
- r = 38.5 m
Using the formula, we can substitute these values into the equation:
F = (6.67 x 10^-11 N(m/kg)^2)(10.1 kg)(45.4 kg) / (38.5 m)^2
= (6.67 x 10^-11 N(m/kg)^2)(459.54 kg^2) / (1482.25 m^2)
= 306.402258 x 10^-11 N(m/kg)^2 / m^2
= 2.06 x 10^-11 N
Therefore, the force of gravitational attraction between the two spheres is approximately 2.06 x 10^-11 N.