Calculate the gravitational force between the Sun and Jupiter. The mass of the Sun is 1.99×1030 kg. The mass of Jupiter is 19000×1023 kg. The distance between them is 77.8×1010 m.

To calculate the gravitational force between the Sun and Jupiter, we can use Newton's law of universal gravitation. The equation is given by:

F = G * (m1 * m2) / r^2

Where:
F represents the gravitational force
G is the gravitational constant, approximately equal to 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 the centers of the two objects

Let's now substitute the given values into the equation and calculate the gravitational force between the Sun and Jupiter:

F = (6.67430 × 10^-11 m^3 kg^-1 s^-2) * ((1.99 × 10^30 kg) * (19 × 10^25 kg)) / (77.8 × 10^9 m)^2

F = (6.67430 × 10^-11) * (1.99 × 10^30) * (19 × 10^25) / (77.8 × 10^9)^2

F = (6.67430 × 1.99 × 19 × 10^-11 kg * kg * m^2) / (77.8 × 77.8 × 10^9)

F = 24.815 kg * m / (77.8 × 77.8 × 10^9)

F = 24.815 ÷ (6.039 × 10^21)

F = 4.10 × 10^13 N

Therefore, the gravitational force between the Sun and Jupiter is approximately 4.10 × 10^13 Newtons.

To calculate the gravitational force between the Sun and Jupiter, you can use Newton's law of universal gravitation:

F = (G * m1 * m2) / r^2

where:
F is the gravitational force between the two objects
G is the gravitational constant (approximately 6.67430 × 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

Given:
Mass of the Sun (m1) = 1.99 × 10^30 kg
Mass of Jupiter (m2) = 19000 × 10^23 kg
Distance between them (r) = 77.8 × 10^10 m

Now let's substitute these values into the formula:

F = (6.67430 × 10^-11 N m^2/kg^2 * 1.99 × 10^30 kg * 19000 × 10^23 kg) / (77.8 × 10^10 m)^2

Simplifying:

F = (6.67430 * 1.99 * 19000) × (10^-11 * 10^30 * 10^23) / (77.8^2) × (10^10)^2
F = (6.67430 * 1.99 * 19000) × (10^-11 * 10^30 * 10^23) / (77.8)^2 × 10^20
F = 252733505070000000000000000000000 / 6032.84 × 10^20
F = 4189079866402337227.257848 / 6032.84 × 10^20

Calculating:

F = 6.9409 × 10^23 N

Therefore, the gravitational force between the Sun and Jupiter is approximately 6.9409 × 10^23 Newtons.

G = 6.67 * 10^-11 N m^2/Kg^2

Sun mass = 1.99 * 10^30 Kg
Jupiter mass = 1.89 * 10^27 Kg
d= 7.78 * 10^11 m

F = G Msun Mjup / d^2

=[6.67*1.99*1.89/60.5]10^[-11+30+27-22]

= .141 * 10^24

= 1.41 * 10^23 Newtons