NASA’s Dawn spacecraft is scheduled to reach the asteroid Ceres in February of 2015. Ceres is the largest asteroid ever discovered and orbits in the asteroid belt between Mars and Jupiter. Ceres has a mass of 9.46 x 1020 kg and a radius of about 4.25 x 105 m. What gravitational acceleration would Ceres provide on the spacecraft if it landed on the surface of the asteroid?

Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (MĚ = 5.97 × 1024 kg, R₁ = 6380 km)? Say your mass is 64 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (M₁ = 1.90 × 1027 kg, R₁ = 5.88 × 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by -GMm r² where G = 6.67 x 10-11 m³/s²/kg. FgE Part 2 of 5 We can use this expression to determine the magnitude of the gravitational force you feel while on the…

In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.40×1016 kg and a radius of 8.20 km What is the speed of a satellite orbiting 4.90 km above the surface? What is the escape speed from the asteroid?

Calculate the acceleration due to gravity on the Moon. The Moon's radius is 1.74 × 106 m and its mass is 7.35 × 10²2 kg.

A distant planet with a mass of (2.800x10^26) has a moon with a mass of (9.0000x10^23). The distance between the planet and the moon is (8.8000x10^11). What is the gravitational force between the two objects? Note: Your answer is assumed to be reduced to the highest power possible.

The International Space Station (ISS) completes one orbit of Earth in 92 minutes.  What is the radius of the orbit in kilometers (km)?    You may assume the orbit is circular.  The mass of the ISS is 420 kg, and the mass of the Earth is 6.0×10246.0×1024kg.  Newton’s gravitational constant is 6.7×10−11N⋅m2kg26.7×10−11kg2N⋅m2​.

You encounter a strange cosmic string in outer space.  The string extends along the x axis from x = 0 m to x = 4.6 x 104 m.  You are located at x = -5.4 x 104 m.  You experience a gravitational field equal to 9.6 x 10-6 N/kg at this location.  Assuming the string has a constant linear mass density, calculate this linear mass density, in units of 105kg/m.  Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)

Venus is known as the 'Earth's sister' because of its similar size and gravity. It has a mass of 4.87 x 10^24 kg and an average radius of 6060 km. As the 150 kg satellite slowly approaches the surface of Venus it is influenced by its gravitational field. (a) Describe how the satellite gravitational potential energy changes as it is moving from an altitude of 5000 km to the surface of Venus.   (b) Calculate the gravitational fieid strength on the surface of Venus.

One of your summer lunar space camp activities is to launch a 1210-kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 229 km. What gain in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively.

The Lunar reconnaissance orbiter (LRO) is currently in orbit around the moon on an exploration mission to map its surface.  If it has a mass of 1820 kg and is orbiting at an elevation of 65.0 km from the surface, what is the gravitational force acting on the LRO due to the moon?  The moon has a mass of 7.348 x 1022 kg and a radius of 1738 km. {G = 6.674 x 10-11 N⋅ m2/kg2}