A planet orbiting a distant star has radius 3.54×106 m. The escape speed for an object launched from this planet's surface is 7.15×103 m/s. What is the acceleration due to gravity at the surface of the planet?

In the book 2010: Odyssey Two, Chinese astronauts land on Europa, one of Jupiters Moons. Suppose one of these astronauts on Europa drops a tool 2 m above the ground. How long will it take for it to hit the ground?  MEuropa = 4.7998×1022 kg, REuropa = 1.561×106

If you are sitting at the equator on Earth, what would your average speed be knowing that the radius of the Earth is 6.37 x 106 m? What would your acceleration on Earth be?

(a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 x 1024 kg and its moon, with mass 2.50 × 1022 kg, if the average distance between their centers is 2.70 x 108 m. N (b) What is the moon's acceleration (in m/s²) toward the planet? (Enter the magnitude.) m/s² (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s²

A 1000 kg satellite orbits the Earth at a distance of 4 times the Earth's radius measured from above the Earth's surface. The radius of the Earth is 6.38x 10°m and the mass of the Earth is 5.98x1024kg and the gravitational constant G= 6.67x10-11 Nm²/kg². What is the speed at which the satellite orbits the earth? 3540 m/s O 3780 m/s O 4110 m/s 3130 m/s 2920 m/s O 4370 m/s 3960 m/s O 3350 m/s

Some of the most spectacular objects in the universe are fairly small: neutron stars are spheres with a diameter that's about 10km (they are remnants of old stars). Their spectacular nature is indicated by the fact that they are about as massive as the sun, i.e. 2 x 1030kg. What is the gravitational acceleration on the surface of such an object? Express your result as a multiple of g.

A skater with mass 66 kg is skating on a horizontal surface at a constant speed 4.2 m/s. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). What is the height of the ramp in the unit of meters? Use g = 10 m/s2 for the acceleration due to gravity.

You are an astronaut exploring an unknown planet, with a mass of 4.02×1024 kg, and a radius of 4,148 km.  Draw a free body diagram of the forces acting as you stand on the surface. What is the magnitude of the acceleration due to gravity at the surface of the planet in m/s2?  Calculate your answer to 2 sf.

(a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 x 1024 kg and its moon, with mass 2.20 x 1022 kg, if the average distance between their centers is 2.90 × 108 m. N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s² (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) m/s²

Suppose that in the future humans can travel to different earth like planets within our galaxy. You take a trip to a new planet with a different gravitational acceleration than earth. To test this gravitational acceleration, you decide to drop a ball a distance of 2 meters. You measure how long it takes the ball to fall 2.0 meter multiple times and take an average. The average drop time is 0.52 seconds. What is the approximate magnitude of the gravitational acceleration of the planet (in units of m/s squared)?