Isaac newtons theory of universal gravitation states that the equation F=G m^1m^2/r^2 can be used to calculate the amount of gravitational forces in newtons between 2 point masses (m^1) and (m^2) separated by a distance (r). G is a constant equal to 6.67*10^-11 m^2 kg^-2. The mass of the earth m^1 is equal to 5.97*10^24 kg, the mass of the moon m^2 is equal to 7.36*10^22 kg, and the distance r between the two is 384,000,000 m.

Compute the amount of gravitational force between the earth and the moon. Express answer in scientific notation

1.462828271x10^99

Oh boy, time to crunch some numbers! Let's calculate the amount of gravitational force between the earth and the moon, using Isaac Newton's equation.

First, we plug in all the values:
G = 6.67 * 10^-11 m^2 kg^-2
m^1 = 5.97 * 10^24 kg
m^2 = 7.36 * 10^22 kg
r = 384,000,000 m

Now, we can put it all into the equation:
F = (6.67 * 10^-11) * (5.97 * 10^24) * (7.36 * 10^22) / (384,000,000)^2

After all the calculations, we get:
F = 1.98 * 10^20 Newtons

So, the amount of gravitational force between the earth and the moon is approximately 1.98 x 10^20 Newtons. That's a whole lot of pulling power!

To compute the amount of gravitational force between the Earth and the Moon, we can use Newton's theory of universal gravitation. The equation for gravitational force is:

F = G * (m^1 * m^2) / r^2

Given:
G = 6.67 * 10^-11 m^2 kg^-2
m^1 (mass of Earth) = 5.97 * 10^24 kg
m^2 (mass of Moon) = 7.36 * 10^22 kg
r (distance between Earth and Moon) = 384,000,000 m

Substituting the given values into the equation:

F = (6.67 * 10^-11 m^2 kg^-2) * ((5.97 * 10^24 kg) * (7.36 * 10^22 kg)) / (384,000,000 m)^2

Simplifying the equation further:

F = (6.67 * 10^-11) * (5.97 * 10^24) * (7.36 * 10^22) / (384,000,000)^2

F = 2.03 * 10^20

Therefore, the amount of gravitational force between the Earth and the Moon is 2.03 * 10^20 N (Newton) in scientific notation.

To compute the amount of gravitational force between the Earth and the Moon using Newton's theory of universal gravitation, we can use the equation F = G * (m^1 * m^2 / r^2).

Let's substitute the given values into the equation:
G = 6.67 * 10^-11 m^2 kg^-2
m^1 (mass of the Earth) = 5.97 * 10^24 kg
m^2 (mass of the Moon) = 7.36 * 10^22 kg
r (distance between Earth and Moon) = 384,000,000 m

Now, plug in these values into the equation:
F = (6.67 * 10^-11) * [(5.97 * 10^24) * (7.36 * 10^22) / (384,000,000)^2]

Let's simplify the equation:

First, calculate the product of the masses:
(5.97 * 10^24) * (7.36 * 10^22) = 43.99 * 10^(24+22) = 43.99 * 10^46

Next, calculate the square of the distance:
(384,000,000)^2 = 147,456,000,000,000,000

Now, substitute the simplified values back into the equation:

F = (6.67 * 10^-11) * (43.99 * 10^46 / 147,456,000,000,000,000)

Divide the numerator by the denominator:
F = (6.67 * 43.99 * 10^(46-11)) / 147,456,000,000,000,000

Multiply the coefficients:
F = 293.9833 * 10^(46-11) / 147,456,000,000,000,000

Simplify the exponent:
F = 293.9833 * 10^35 / 147,456,000,000,000,000

Now, express the answer in scientific notation:
F ≈ 1.994 * 10^23 N

Therefore, the amount of gravitational force between the Earth and the Moon is approximately 1.994 * 10^23 Newtons.