Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 8, Problem 52P
(a)
To determine
The speed of the first meteoroid when it strikes the Earth.
(b)
To determine
The speed of the second meteoroid at the distance of closest approach.
(c)
To determine
Whether the second meteoroid return to Earth’s vicinity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An object of mass m is launched from a planet of mass M and radius R.
a)Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r = ∞.
b)Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M = 6 × 1023 kg and R = 76 × 104 km.
(a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 19.0 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 (in m/s) will they each be traveling upon impact. Each sphere has a radius of
5.20 cm.
m/s
An object of mass mm is launched from a planet of mass MM and radius RR.
a) Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r=∞.
b) Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M=2.73×1023kg and R=86.2×103km.
Chapter 8 Solutions
Essential University Physics (3rd Edition)
Ch. 8.2 - Suppose the distance between two objects is cut in...Ch. 8.3 - Suppose the paths in Fig. 8.8 are the paths of...Ch. 8.4 - Prob. 8.3GICh. 8 - What do Newtons apple and the Moon have in common?Ch. 8 - Prob. 2FTDCh. 8 - When you stand on Earth, the distance between you...Ch. 8 - The force of gravity on an object is proportional...Ch. 8 - A friend who knows nothing about physics asks what...Ch. 8 - Could you put a satellite in an orbit that keeps...Ch. 8 - Why are satellites generally launched eastward and...
Ch. 8 - Given Earths mass, the Moons distance and orbital...Ch. 8 - How should a satellite be launched so that its...Ch. 8 - Does the gravitational force of the Sun do work on...Ch. 8 - Space explorers land on a planet with the same...Ch. 8 - Use data for the Moons orbit from Appendix E to...Ch. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Two identical lead spheres with their centers 14...Ch. 8 - Whats the approximate value of the gravitational...Ch. 8 - A sensitive gravimeter is carried to the top of...Ch. 8 - Prob. 18ECh. 8 - Find the speed of a satellite in geostationary...Ch. 8 - Marss orbit has a diameter 1.52 times that of...Ch. 8 - Calculate the orbital period for Jupiters moon Io,...Ch. 8 - An astronaut hits a golf ball horizontally from...Ch. 8 - The Mars Reconnaissance Orbiter circles the red...Ch. 8 - Earths distance from the Sun varies from 147 Gm at...Ch. 8 - Prob. 25ECh. 8 - A rocket is launched vertically upward from Earths...Ch. 8 - What vertical launch speed is necessary to get a...Ch. 8 - Find the energy necessary to put 1 kg, initially...Ch. 8 - Whats the total mechanical energy associated with...Ch. 8 - Prob. 30ECh. 8 - Determine escape speeds from (a) Jupiters moon...Ch. 8 - Prob. 32ECh. 8 - The gravitational acceleration at a planets...Ch. 8 - One of the longest-standing athletic records is...Ch. 8 - Prob. 35PCh. 8 - If youre standing on the ground 15 m directly...Ch. 8 - Given the Moons orbital radius of 384,400 km and...Ch. 8 - Equation 7.9 relates force to the derivative of...Ch. 8 - During the Apollo Moon landings, one astronaut...Ch. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Youre preparing an exhibit for the Golf Hall of...Ch. 8 - Prob. 43PCh. 8 - Satellites A and B are in circular orbits, with A...Ch. 8 - The asteroid that exploded over Chelyabinsk,...Ch. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Neglecting air resistance, to what height would...Ch. 8 - Show that an object released from rest very far...Ch. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Two meteoroids are 160,000 km from Earths center...Ch. 8 - Two rockets are launched from Earths surface, one...Ch. 8 - Prob. 58PCh. 8 - A missiles trajectory takes it to a maximum...Ch. 8 - Prob. 60PCh. 8 - Mercurys orbital speed varies from 38.8 km/s at...Ch. 8 - Prob. 62PCh. 8 - Two satellites are in geostationary orbit but in...Ch. 8 - Prob. 64PCh. 8 - Prob. 65PCh. 8 - We derived Equation 8.4 on the assumption that the...Ch. 8 - Prob. 67PCh. 8 - As a member of the 2040 Olympic committee, youre...Ch. 8 - The Olympic Committee is keeping you busy! Youre...Ch. 8 - Tidal forces are proportional to the variation in...Ch. 8 - Spacecraft that study the Sun are often placed at...Ch. 8 - Prob. 72PPCh. 8 - Prob. 73PPCh. 8 - Prob. 74PPCh. 8 - The Global Positioning System (GPS) uses a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Check Your Understanding If we send a probe out of the solar system starting form Earth’s surface, do we only have to escape the Sun?arrow_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forward
- An average-sized asteroid located 5.0107km from Earth with mass 2.01013kg is detected headed directly toward Earth with speed of 2.0km/s . What will its speed be just before it hits our atmosphere? (You may ignore the size of the asteroid.)arrow_forwardCheck Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but far away from Earth (so that it can be ignored). How could you redirect your tangential velocity to the radial direction such that you could then pass by Mars’s orbit? What would be required to change just the direction of the velocity?arrow_forwardUsing Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass,m. Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal accleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle , defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere. tan(+)=gg2REtan , where is the angular velocity of Earth.arrow_forward
- Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forwardMY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 6.91 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. 3952535 (b) A meteoroid falls from a height of 1.91 x 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) 10698.65 X The fall of the meteorite is the time-reversal of the upward flight of the projectile, so it is described by the same energy equation as in part (a). m/s. Need Help? Read It Siarrow_forward
- A rocket is launched straight up from the earth's surface at a speed of 1.90×10^4 m/s. What is its speed when it is very far away from the earth?arrow_forwardIn a faraway galaxy, a meteoroid is moving along a straight line that will pass a planet at a distance of 5RP from the planet's center, where RP is the planet's radius. What minimum speed must the meteoroid have if it is not to collide with the planet? (Assume the meteorite is detected when it is very far from the planet. Use the following as necessary: RP, MP for the mass of the planet, and G. Note that the P subscripts are uppercase. Write an expression in terms of v=)arrow_forwardThe radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning