The acceleration due to gravity at the moon's surface is 1.67 ms^- 2. If the radius of the moon is 1.74 x 10^6 m. Calculate the mass of the moon. Use the known value of G.

A)Find the magnitude of the gravitational force (in N) between a planet with mass 8.75 ✕ 1024kg and its moon, with mass 2.30 ✕ 1022 kg, if the average distance between their centers is 2.40 ✕ 108 m. _______N B)What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) __________m/s^2 C)What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) _________m/s^2

The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.

Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2330 m/s in a perfectly circular orbit. Here is some information that may help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)Which of the following quantities would change the radius the satellite needs to orbit at? a.)the mass of the satellite b.)the mass of the planet c.)the speed of the satellite   2.)What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

29. Consider Planet X whose mass and radius are 9.05 x 1025 [kg] and 5.95 x 104 [m], respectively. If the weight of the object on the surface of the Earth is 2940 [N], what is its weight at height 750 [m] from the surface of the Planet X? Note: The gravitational constant is G = : 6.6743 x 10-11 m3 A. 3.70 × 108 [N] C. 4.99 x 108 [N] B. 4.88 x 108 [N] D. 5.12 x 108 [N] Lkg

According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.92 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate mass of the Earth Me. Give the answer in 1024 kg. Answer: x10^24 kg

The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.

A newly discovered planet X has a mass of 36.7 × 1023 kg and radius 2.47 × 106 m.  What is g on this planet's surface, in m/s2?

Two lead spheres are separated by 0.207 m, centre-to-centre. One sphere has a mass of 5.53 kg. The gravitational attraction between the spheres is 6.06x108N. What is the mass of the other sphere? Express your result in SI units but don't include the units in your answer.

Help me to solve this problem step by step and give answer as a 3 significant figures