Calculate the gravitational force between the Sun and an object. The mass of the Sun is 1.99×10^30 kg. The mass of the object is 868 ×10^3 kg. The distance between the object and the Sun is 1.496×1011 m.
Now come on. Try.
To calculate the gravitational force between the Sun and an object, you can use the formula for gravitational force:
F = (G * m1 * m2) / d^2
where:
F is the gravitational force,
G is the gravitational constant (approximately 6.674×10^-11 N m^2 / kg^2),
m1 is the mass of the Sun,
m2 is the mass of the object, and
d is the distance between the object and the Sun.
Let's substitute the given values into the formula:
F = (6.674×10^-11 N m^2 / kg^2) * (1.99×10^30 kg) * (868 ×10^3 kg) / (1.496×1011 m)^2
First, we'll calculate the numerator:
(6.674×10^-11 N m^2 / kg^2) * (1.99×10^30 kg) * (868 ×10^3 kg) = 1.17 × 10^26 N m^2 / kg
Now, we'll calculate the denominator:
(1.496×10^11 m)^2 = 2.2416 × 10^22 m^2
Finally, we'll divide the numerator by the denominator:
F = (1.17 × 10^26 N m^2 / kg) / (2.2416 × 10^22 m^2)
To simplify the expression, we can divide both the numerator and denominator by 10^22:
F = (1.17 × 10^26 N) / (2.2416 × 10^22)
F = 5.212 × 10^3 N
Therefore, the gravitational force between the Sun and the object is approximately 5.212 × 10^3 Newtons.