The earth is 150 × 10^9 m from the Sun. Earth and Sun masses are 5.97 × 10)^24 ?? and 1.99 × 10^30 ??, respectively. (a) Find the gravitational attraction between the Earth and the Sun. (b) Find the orbital period of the Earth around the Sun based on these numbers

A 200 kg satellite is placed into orbit around the Earth with a radius of 4.23 x 107 m. The mass of the Earth is about 6 x 1024 kg. (a) Find the gravitational force on the satellite.(b) Use the equation of centripetal force to find the speed of the satellite.

If the gravitational force is 8 N originally and the distance is decreased by a factor of 1/5, what is the resulting force?

The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit.  If the orbital radius of Rom is 2.5×1011 m … Note: G = 6.67⨯10-11 N·m2/kg2 i) What is the gravitational force of Rom on Galla?

(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)

A planet requires 340 (Earth) days to complete its circular orbit around its sun, which has a mass of 7.5 x 1030 kg. What are the planet's (a) orbital radius and (b) orbital speed?

Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).

(a) Calculate the distance from the Earth's surface of the point which the gravitational field strength is zero, given the following data: Distance between the Earth and the Moon = 384 000 km; Mass of the Earth = 5.98 x 10^24 kg; Mass of the Moon = 7.35 x 10^22 kg; Radius of the Earth = 6.37 x 10^6 m (b) If a small mass is placed at this point, does is receive gravity force? Is the gravitational potential energy at this point equal to 0? Explain your answer.

Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 • 1011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0 • 104 light years from its center. a) What should the orbital period of that star be in years?  b) If its period is 6.0 • 107 years instead, what is the mass of the galaxy in solar masses? Such calculations are used to imply the existence of “dark matter” in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.

During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99 × 10³0 kg, 5.98 × 1024 kg, and 7.36 × 1022 kg, respectively. The Moon's mean distance from Earth is 3.84 × 108 m, and Earth's mean distance from the Sun is 1.50 × 10¹¹ m. The gravitational constant is G = 6.67 × 10-¹1 N-m²/kg². Find the magnitude F of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun. F = What is the direction of this force? toward Earth toward Venus toward the Sun elsewhere N