I thought I did the problem right, but I don't think I came out with the right answer! Please someone check to see if I got this problem right.

Calculate the force of gravity between Earth (mass=6.0*10^24 kg) and the moon (mass=7.4*10^22 kg). The average Earth-moon distance is 3.8*10^8 m.

The answer I got was 2.05*10^20 Newtons, but it seems like it could possibly be too big. Am I wrong?

No, I think it is correct.

I have 6.673E-11*7.4E22*6.0E24/(3.8E8)2= your number.

To calculate the force of gravity between two objects, you can 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 6.6743 × 10^-11 N·m^2/kg^2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects

Let's calculate the force of gravity between Earth and the Moon using the given values:

m1 = 6.0 × 10^24 kg
m2 = 7.4 × 10^22 kg
r = 3.8 × 10^8 m

Plugging in these values into the equation, we get:

F = (6.6743 × 10^-11 N·m^2/kg^2) * [(6.0 × 10^24 kg) * (7.4 × 10^22 kg)] / (3.8 × 10^8 m)^2

Calculating this expression, we find:

F ≈ 1.99 × 10^20 Newtons

So, it seems like your calculated value of 2.05 × 10^20 Newtons is close, but slightly higher than the correct answer. Make sure to recheck your calculations to determine the exact source of the discrepancy.

To calculate the force of gravity between Earth and the moon, you can 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 (in this case Earth and the moon), and r is the distance between their centers.

Let's plug in the given values:

F = (6.67430 × 10^-11) * (6.0 × 10^24) * (7.4 × 10^22) / (3.8 × 10^8)^2

Now, let's calculate it step by step:

1. Multiply the masses:

(6.0 × 10^24) * (7.4 × 10^22) = 44.4 × 10^46 kg^2

2. Multiply the gravitational constant (G) and the mass product:

(6.67430 × 10^-11) * (44.4 × 10^46) = 2958.7432 × 10^35 kg^2 m^3 s^-2

3. Calculate the distance squared:

(3.8 × 10^8)^2 = 1444 × 10^{16} m^2

4. Divide the previous results by the distance squared:

2958.7432 × 10^35 kg^2 m^3 s^-2 / 1444 × 10^{16} m^2

Simplifying the exponent:

2958.7432 × 10^{35 - 16} kg^2 m^3 s^-2

5. Combine the numbers:

2958.7432 × 10^{19} kg^2 m^3 s^-2

Therefore, the force of gravity between Earth and the moon is approximately equal to 2.96 × 10^{20} Newtons, which is slightly larger than the answer you provided (2.05 × 10^{20} Newtons). It seems like you made a small error in your calculations.