The formula for calculating the gravitational force:
F = G * (M * m) / r^2
Sun:
- F is the force of gravity (Newtons)
- G is the gravitational constant (6.674 * 10^-11 Nm^2/kg^2)
- m1 is the mass of object 1 (kg) (mass of the Sun: 1.989 * 10^30 kg)
- m2 - object weight 2 (kg) (object weight: 70 kg) (human)
- r is the distance between the centers of mass of objects (meters) (1 meter)
Calculation:
F = 6.674 * 10^-11 * (1.989 * 10^30 * 70) / 1^2
F ≈ 9.28 * 10^21 N
Therefore, the gravitational force of the Sun on an object weighing 70 kg at a distance of 1 meter from it will be approximately 9.28 * 10^21 Newtons.
Massive Star like Betelgeuse :
- Betelgeuse mass (M): Approximately 11.6 solar masses, which is about 2.31 x 10^31 kg.
- Gravitational constant (G): 6.674 x 10^-11 N(m/kg)^2
- Object weight (m): 70 kg (human)
- Distance from the center of Betelgeuse to the object (r): 1 meter
Calculation:
F = 6.674 x 10^-11 * (2.31 x 10^31 * 70) / 1^2
F ≈ 1.08 x 10^24 N
The gravitational force of Betelgeuse on an object weighing 70 kg at a distance of 1 meter from the star will be approximately 1.08 x 10^24 Newtons.