An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 1.00x104 kg. G=6.67x10-11 Nm²/kg2 MAsteroid 1.00×104 kg MEarth5.97x1024 kg REarth 6.37x106 m What is the change in gravitational potential energy between the asteroid's starting point and when it hits the earth's surface? Does it gain or lose potential energy? -6.25 x 10e11 Submit Answer You have entered that answer before This question expects a numeric answer. Tries 0/2 Previous Tries What is the final kinetic energy of the asteroid when it hits the earth's surface? Submit Answer Tries 0/2 What is the final velocity of the asteroid when it hits the earth's surface? m/s

An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 1.00x104 kg. G=6.67x10-11 Nm²/kg2 MAsteroid 1.00×104 kg MEarth5.97x1024 kg REarth 6.37x106 m What is the change in gravitational potential energy between the asteroid's starting point and when it hits the earth's surface? Does it gain or lose potential energy? -6.25 x 10e11 Submit Answer You have entered that answer before This question expects a numeric answer. Tries 0/2 Previous Tries What is the final kinetic energy of the asteroid when it hits the earth's surface? Submit Answer Tries 0/2 What is the final velocity of the asteroid when it hits the earth's surface? m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Plan A - Get people off the Earth in a permanent space habitat. Recall that the gravitational potential energy of an object in orbit around the Earth has magnitude GMmd where M is the mass of the Earth and m is the mass of the object in orbit around it (G = 6.67×10-11Nm2/kg2). If this is also equal to the energy that must be expended (work) to place the object at orbital altitude d, i. calculate the work required to place 100 million people in orbit at 300 miles altitude. Use a mass of 70 kg for the average mass per person. (1 Joule=1 Nm) ii. How does this compare to the current annual energy consumption of the United States? (1 Watt hour = 3600 Joules)
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.
A satellite has a mass of 298 kg and is located at 1.97 ✕ 106 m above the surface of Earth. (a) What is the potential energy associated with the satellite at this location? J(b) What is the magnitude of the gravitational force on the satellite? N
An earth-like planet with a mass of 6.00×1024 kg has a space station of mass 4.60×104 kg orbiting it at a distance of 5.00×105 km. What is the gravitational potential energy between the space station and the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) (calculate in J)
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?
In deep space, sphere A of mass 93 kg is located at the origin of an x axis and sphere B of mass 140 kg is located on the axis at x = 7.2 m. Sphere B is released from rest while sphere A is held at the origin. (a) What is the gravitational potential energy of the two-sphere system just as B is released? (b) What is the kinetic energy of B when it has moved 3.8 m toward A? (a) Number i Units (b) Number i Units
How much work is required to lift a 800-kg satellite to an altitude of 3 · 106 m above the surface of the Earth? The gravitational force is F = GMm/r², where M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4 · 106 m, its mass is 6 · 10²4 kg, and in these units the gravitational constant, G, is 6.67. 10-¹¹. Work = (include help (units); for this problem assume all given constants are accurate to many significant figures.)
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Calculate the gravitational potential energy of a 8.9-kg mass on the surface of the Earth. Express your answer using two significant figures. Calculate the gravitational potential energy of a 8.9-kg mass at an altitude of 410 km. Express your answer using two significant figures.
7. a. Planet Alpha has a mass of 2.34 × 1025 kg and a radius of 5.67 × 107 m. What is the gravitational acceleration on the surface of the planet? b. What is the gravitational potential energy of an 891 kg object when it is 1.23 × 108 m from the center of the planet?
6. A fully dressed astronaut, weighing 1.2 x 103 N on Earth, is about to jump down from a space capsule that has just landed safely on Planet X. The drop to the surface of X is 2.8 m, and the astronaut's gravitational potential energy relative to the surface is 1.1 × 10³ J. (a) What is the magnitude of the gravitational field strength on Planet X? (b) How long does the jump take? (c) What is the astronaut's maximum speed?
calculate the energy required to send a 1 kg object from the surface of Earth to the satellite located 42.16*10^6m from the center of the Earth. Assume the location from which the object is being launched is 6.37*10^6m from the center. a. Use the object's weight at the surface of the earth (g=9.8) to find Newton's proportional constant k for this object. b. Write a definite integral that calculates the energy required to send the object to orbit, then use the Fundamental theorem of calculus to calculate the energy. c. Write t he formula for a Reimann sum that is guaranteed to estimate the energy required to send the object to orbit, accurate with 10^5 J. d. calculate the fraction of the object's total distance traveled at which half of the total required energy is expended.