Calculate the force of gravity between Earth and the Sun (the Sun's mass = 2.0×10^30 kg; average Earth-Sun distance = 1.5×10^11 m).
Use the same formula that I used in answering your last question, but with the masses of the earth and sun, and the earth-sun distance.
this is how I did these but I get an overflow error in my calculator
Use scientific notation. It's a big number. The baby-Mars attraction number would be very small.
To calculate the force of gravity between Earth and the Sun, we need to use Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity,
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Given that the Sun's mass (m1) is 2.0 × 10^30 kg, the Earth-Sun distance (r) is 1.5 × 10^11 m, and G is a constant, we can now calculate the force of gravity (F).
F = (6.67430 × 10^-11 m^3 kg^-1 s^-2 * 2.0 × 10^30 kg * 5.97 x 10^24 kg) / (1.5 × 10^11 m)^2
Now we can simplify and calculate the result:
F = (6.67430 × 10^-11 * 2.0 × 10^30 * 5.97 x 10^24) / (1.5 × 10^11)^2
F = 3.52 × 10^22 N
Therefore, the force of gravity between Earth and the Sun is approximately 3.52 × 10^22 Newtons.