31) asteroid in a collision course. At 7514 km from the center of the asteroid, the rock has a speed of 136.0 m/s and later at 2823 km it has a speed of 392.0 m/s. Use energy conservation to find the mass of asteroid I. You can neglect any effects due to the parent star of the asteroid. (G=6.67 x 10-11 N • m2/kg2) A) 4.582 x 102' kg B) 9.164 x 1027 kg C) 6.112 x 1028 kg D) 4.582 x 1020 kg Beings on spherical asteroid II have observed that a large rock is approaching their

31) asteroid in a collision course. At 7514 km from the center of the asteroid, the rock has a speed of 136.0 m/s and later at 2823 km it has a speed of 392.0 m/s. Use energy conservation to find the mass of asteroid I. You can neglect any effects due to the parent star of the asteroid. (G=6.67 x 10-11 N • m2/kg2) A) 4.582 x 102' kg B) 9.164 x 1027 kg C) 6.112 x 1028 kg D) 4.582 x 1020 kg Beings on spherical asteroid II have observed that a large rock is approaching their

Name: Hi, can you help me solve this problem and draw a simple free body dia
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Hi, can you help me solve this problem and draw a simple free body diagram? I will rate thank you! 31)asteroid in a collision course. At 7514 km from the center of the asteroid, the rock has a speed of136.0 m/s and later at 2823 km it has a speed of

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 13PQ: A massive black hole is believed to exist at the center of our galaxy (and most other spiral...

See similar textbooks

Similar questions

A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. a. One of these stars is believed to be in an approximately circular orbit with a radius of about 1.50 103 AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting, b. What is the speed of this star, and how does it compare with the speed of the Earth in its orbit? How does it compare with the speed of light?
A system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
(D Page view A Read aloud V Draw y Highlight Erase
Q4. (a) If r is the radius of the Earth, calculate the value of the Gravitational Potential at a distance of r from the Earths centre. (b) A black hole is defined as a body in space whose escape velocity is equal to or greater than the speed of light. An observed stellar object has a mass equal to 4 x 1030 kg and a radius of 2.9 km. I. Using appropriate physics prove that this stellar object can be classified as a black hole. I. What is the acceleration due to gravity on the surface of the object? (c) A woman is standing on the moon. By what factor would her weight increase she were standing on the Earth as compared to the Moon?
A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. a)Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Calculate the value of KE in joules. b)Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. c)Enter an expression for the centripetal acceleration of the satellite ac in terms of the speed of the satellite, v, and R.
3. A 1000-kg rocket fired from Earth has a speed of 6.0 km/s when it reaches a height of 1000 km above Earth's surface. a) If the rocket has used all of its fuel, will it escape from Earth? b) If it does not escape, what maximum height above Earth will it reach?
A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 km s-1. If 20% of its initial energy is lost due to martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it ? Mass of mars = 6.4×1023 kg; radius of mars = 3395 km; G = 6.67×10-11 N m2 kg-2.
32. a) Evaluate the gravitational potential energy between two 5.00-kg spherical steel balls separated by a center-to-center distance of 15.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast will they be traveling upon impact. Each sphere has a radius of 5.10 cm.
An asteroid closely passes the Earth at a range of 17200 mi and relative speed of 7.8 km/s. The diameter is estimated at 30 m with a specific gravity of 3. If this asteroid had impacted Earth, how much energy would have been released? Express this quantity in units of mega- tons (Mton) where a megaton is the energy released by one million metric tons of TNT explosive. A metric ton is 1000 kg and the explosive energy density of TNT is 4184 J/g. Hint: If the asteroid hits the Earth, its relative velocity becomes zero. Ignore any change in asteroid velocity due to gravitational acceleration or air resistance.
Two spherical asteroids have the same radius R. Asteroid 1 has mass M and asteroid 2 has mass 2M. The two asteroids are released from rest with distance 10R between their centers. What is the speed of each asteroid just before they collide? Hint: You will need to use two conservation laws.
3. b. Consider a large massive spherical shell object. With all of its mass M is distributed at its radius R (shown in the figure). Draw a schematic graph of gravitational force and corresponding gravitational potential energy experienced by another object m at a distance r, where the distance varies as, r →0 tor→. Figure 2: Question 3(b) Two masses system