Given the masses of the sun and earth are 1.99x10^30 kg and 5.98x10^24 kg respectively. Calculate the gravitational force between them when their centers are 1.50x10^11m apart
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Sorry by mistake it is posted by some other one
To calculate the gravitational force between two objects, we can use the equation for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2)
m1 and m2 are the masses of the two objects
r is the distance between their centers
Let's substitute the given values into the formula:
m1 = 1.99x10^30 kg
m2 = 5.98x10^24 kg
r = 1.50x10^11 m
Plugging in these numbers into the formula, we have:
F = (6.67430 × 10^-11 m^3 kg^-1 s^-2 * 1.99x10^30 kg * 5.98x10^24 kg) / (1.50x10^11 m)^2
Now, let's perform the calculation:
F = (6.67430 × 10^-11 * 1.99 * 5.98 * 10^30 * 10^24 ) / ( 1.50 * 10^22)
To simplify the calculation, we can combine the exponents:
F = ( 6.67430 × 1.99 × 5.98 × 10^30 × 10^24 ) / ( 1.50 × 10^22)
F = ( 6.67430 × 1.99 × 5.98 × 10^(30+24)) / (1.50 × 10^22)
F = (6.67430 × 1.99 × 5.98) × 10^(30+24-22)
F = (7.95281708) × 10^(32)
The gravitational force between the sun and the earth when their centers are 1.50x10^11 m apart is approximately 7.95 × 10^32 Newtons.