Question

the planet bilbo has a mass of 6 X 10^12 kg and has a radius of 5000km. The planet Samwell has a mass of 8 X 10^14 and a radius of 7000. If the distance between the surface of planet Bilbo and Samwell is 20 000 km, what is the force of gravity between the planets?

Answer 1

1.214 × 10^20 N.

Step-by-step explanation:

The force of gravity between two objects can be calculated using the formula:

`F = G * (m1 * m2) / r^2`

where F is the force of gravity, G is the gravitational constant (6.6743 × 10^-11 N·(m/kg)^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.

Using this formula, we can calculate the force of gravity between planet Bilbo and Samwell as follows:

1) Convert the radii of the planets to meters:

• Planet Bilbo: 5000 km = 5,000,000 m
• Planet Samwell: 7000 km = 7,000,000 m

2) Convert the distance between the two planets to meters:

• 20,000 km = 20,000,000 m

3) Plug in the values into the formula and solve for F:

• F = G * (m1 * m2) / r^2
• F = 6.6743 × 10^-11 * ((6 × 10^12) * (8 × 10^14)) / (20,000,000 + 5,000,000 + 7,000,000)^2
• F = 1.214 × 10^20 N

Therefore, the force of gravity between planet Bilbo and Samwell is approximately 1.214 × 10^20 N.