What is the force of gravity between Earth (6.0 × 1024 kilograms) and Venus (4.88 × 1024 kilograms)? The distance between the two planets is about 3.8 × 1010 meters. (The value of G is 6.673 × 10-11 newton meter2/kilogram2. The mass of Earth is 5.98 × 1024 kilograms.)
A.
13.52 newtons
B.
51.39 newtons
C.
13.52 × 1017 newtons
D.
51.39 × 1017 newtons
To calculate the force of gravity between two objects, we can use the formula:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity
G is the gravitational constant (6.673 × 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
r is the distance between the two objects
Let's calculate the force of gravity between Earth and Venus:
F = (6.673 × 10^-11 N m^2/kg^2) * (6.0 × 10^24 kg) * (4.88 × 10^24 kg) / (3.8 × 10^10 m)^2
F = (6.673 × 10^-11 N m^2/kg^2) * (36.0 × 10^48 kg^2) / (144.4 × 10^20 m^2)
F = 241.49 × 10^(48-20-11) N
F = 241.49 × 10^17 N
Therefore, the force of gravity between Earth and Venus is approximately equal to 241.49 × 10^17 N, which can be written as 2.4149 × 10^19 N.
The answer is not provided since it is not one of the provided options.