9. Over a period of time, an asteroid's mass increases by 40% while its speed decreased by 25%. By what percentage was the asteroid's kinetic energy decreased?

A 1000 kg object is found heading towards the Earth. At the moment it is 4 Earth radii away from the surface of our planet the asteroid is moving at 100 m/s. If it collides with our planet, how fast will it be moving right before it hits the surface? How much kinetic energy is going to be released in this collision?

1. What is the gravitational potential energy in a system of three objects with masses m₁ = 2.0 × 1020 kg, m2 = 4.0 × 1020 kg, and m3 1.0 × 1021 located at r₁ = 2.0 × 10¹3 m 1.0 × 106 m -1.3 × 10¹2 m 1 respectively? 9 r2 = -6.0 × 10¹3 m 2.2 × 10¹² m –5.7 × 10³ m {] 9 T3 = = 1.5 × 10¹1 m −6.5 × 10² m 9.2 × 10¹0 m

5.)  Imagine a 5.00 kg mass hanging from a rope on a planet with a value of g=0.500 m/s^2.  In addition, there is a spring that goes straight down from the mass to the ground, and the spring has a spring constant of k=20 N/m. The spring has been stretched from its equilibrium position by 4.00 cm.  The rope will break if the tension exceeds 5 N. (5a) Draw a free-body diagram for the mass, labeling all forces. (5b) What is the tension in the rope? (5c) The mass is slowly lifted using the rope, so that the spring continues to stretch.  How many more centimeters can you stretch the spring before the rope breaks?

Kepler-10c is another exoplanet orbiting another star. It has a mass that is approximately 17.0 times the mass of the Earth. It has a radius that is approximately 2.4 times the that of the Earth. Stats for the Earth (Given): MEarth = 6×1024[kg]. REarth = 6.4×106[m]. Question: What is the escape velocity of an object sitting on the surface of Kepler-10c ? Round to the nearest [km/s] 30 [km/s] 24 [km/s] 20 [km/s] 18 [km/s] 16 [km/s] 14 [km/s] 11 [km/s] None of the answers is even close to correct

a) What is the total energy needed to place a 2.0 x 103 kg satellite into circular Earth orbit at an altitude of 5.0 x 102 km? b) How much additional energy would have to be supplied to the satellite once it was in orbit, to allow it to escape from Earth’s gravitational field?

A certain asteroid in space can travel 48.0 km in 3.0 seconds. Its kinetic energy is known to be 3.84 x 1018 Joules. What is the mass of the asteroid?

What is the escape speed on the surface of Neptune? (the mass of Neptune is 1.02 x 1026 kg and the radius o Neptune is 2.48 x 10’m)

A small asteroid that has a mass of 150 kg is moving at 500 m/s when it is 950 km above the surface of the Moon. The radius of the Moon is 1.737E6 m and the mass of the Moon is 7.350E22 kg. a.How fast will the meteorite be traveling when it impacts the lunar surface if it is heading straight toward the center of the moon? b.The atmosphere of the Moon is negligible. How much work does the Moon do in stopping the asteroid?

What is the height of an object that has a mass of 3.50 kg and a gravitational potential energy of 546 J? Select one: O a. b. 15.9 m 156 m C. 1530 m O d. 1911 m