Physics for Scientists and Engineers: Foundations and Connections
15th Edition
ISBN: 9781305289963
Author: Debora M. Katz
Publisher: Cengage Custom Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 11, Problem 48PQ
To determine
The kinetic energy of the Jupiter and speed of the gravitational slingshot of the Jupiter planet.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
If the mass and radius of Mars are 6.39 × 1023 kg and 3.4 × 106 m, respectively, what is the escape velocity needed for a spaceship of mass 25,000 kg to escape the gravitational potential well of Mars?
A) 1,200 m/s
B). 8,658 m/s
C). 7,270 m/s
D). 5,022 m/s
A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet.
a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1
b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R.
c)Calculate the value of v in meters per second.
A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet.
a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface.
b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R.
c)Calculate the value of v in meters per second.
Chapter 11 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 11.1 - Forensic Science Forensic science is the...Ch. 11.2 - Why does a coach instruct a gymnast to bend her...Ch. 11.3 - When two objects collide, the impulse exerted on...Ch. 11.3 - Prob. 11.4CECh. 11.5 - If a spacecraft is headed for the outer solar...Ch. 11.6 - The cue ball hits the eight-ball in a game of pool...Ch. 11 - When a spacecraft collides with a planet, it is...Ch. 11 - When a person feels that he is about to fall, he...Ch. 11 - A tall man walking at 1.25 m/s accidentally bumps...Ch. 11 - Prob. 4PQ
Ch. 11 - A basketball of mass m = 625 g rolls off the hoops...Ch. 11 - Prob. 6PQCh. 11 - Sven hits a baseball (m = 0.15 kg). He applies an...Ch. 11 - Prob. 8PQCh. 11 - Prob. 9PQCh. 11 - In a laboratory, a cart collides with a wall and...Ch. 11 - Prob. 11PQCh. 11 - A Show that Equation 11.4 (the impulsemomentum...Ch. 11 - A crate of mass M is initially at rest on a level,...Ch. 11 - Prob. 14PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - A truck collides with a small, empty parked car....Ch. 11 - Prob. 17PQCh. 11 - Prob. 18PQCh. 11 - A skater of mass m standing on ice throws a stone...Ch. 11 - A skater of mass 45.0 kg standing on ice throws a...Ch. 11 - Prob. 21PQCh. 11 - In a laboratory experiment, 1 a block of mass M is...Ch. 11 - Ezra (m = 25.0 kg) has a tire swing and wants to...Ch. 11 - A suspicious physics student watches a stunt...Ch. 11 - A 2.45-kg ball is shot into a 0.450-kg box that is...Ch. 11 - Prob. 26PQCh. 11 - Prob. 27PQCh. 11 - Prob. 28PQCh. 11 - A dart of mass m is fired at and sticks into a...Ch. 11 - A dart of mass m = 10.0 g is fired at and sticks...Ch. 11 - A bullet of mass m = 8.00 g is fired into and...Ch. 11 - Prob. 32PQCh. 11 - A bullet of mass m is fired into a ballistic...Ch. 11 - Prob. 34PQCh. 11 - One object (m1 = 0.200 kg) is moving to the right...Ch. 11 - Prob. 36PQCh. 11 - Prob. 37PQCh. 11 - Prob. 38PQCh. 11 - Two objects collide head-on (Fig. P11.39). The...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - In an attempt to produce exotic new particles, a...Ch. 11 - Pendulum bob 1 has mass m1. It is displaced to...Ch. 11 - Prob. 44PQCh. 11 - Prob. 45PQCh. 11 - Prob. 46PQCh. 11 - Prob. 47PQCh. 11 - Prob. 48PQCh. 11 - Two skateboarders, with masses m1 = 75.0 kg and m2...Ch. 11 - In a laboratory experiment, an electron with a...Ch. 11 - In Figure P11.51, a cue ball is shot toward the...Ch. 11 - A proton with an initial speed of 2.00 108 m/s in...Ch. 11 - A football player of mass 95 kg is running at a...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Prob. 56PQCh. 11 - N A bomb explodes into three pieces A, B, and C of...Ch. 11 - Prob. 58PQCh. 11 - An object of mass m = 4.00 kg that is moving with...Ch. 11 - A wooden block of mass M is initially at rest at...Ch. 11 - Prob. 61PQCh. 11 - Prob. 62PQCh. 11 - In an experiment designed to determine the...Ch. 11 - From what might be a possible scene in the comic...Ch. 11 - Prob. 65PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - Assume the pucks in Figure P11.66 stick together...Ch. 11 - Prob. 68PQCh. 11 - Prob. 69PQCh. 11 - A ball of mass 50.0 g is dropped from a height of...Ch. 11 - Prob. 71PQCh. 11 - A pendulum consists of a wooden bob of mass M...Ch. 11 - Three runaway train cars are moving on a...Ch. 11 - Prob. 74PQCh. 11 - Rutherford fired a beam of alpha particles (helium...Ch. 11 - Prob. 76PQCh. 11 - Prob. 77PQCh. 11 - February 3, 2009, was a very snowy day along...Ch. 11 - A cart filled with sand rolls at a speed of 1.0...Ch. 11 - Prob. 80PQCh. 11 - Prob. 81PQCh. 11 - Prob. 82PQCh. 11 - Prob. 83PQCh. 11 - Prob. 84PQ
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
- Consider the following pairs of objects with varying masses and separation distances. Which of these pairs has the largest gravitational potential energy? (a) 1 (b) 2 (c) 3 (d) 4arrow_forwardA 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?arrow_forwardA team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density ? = 2.67 × 106 g/m3 and volume V =1.71 × 1012 m3. Recall that the universal gravitational constant is G = 6.67 × 10-11 (Nm2)/(kg2).arrow_forward
- the potential energy function U(r) of a projectile, plotted outward from the surface of a planet of radius Rs. If the projectile is launched radially outward from the surface with a mechanical energy of2.0 * 10^9 J, what are (a) its kinetic energy at radius r = 1.25Rs and (b) its turning point (see Module 8-3) in terms of Rs?arrow_forwardThe inverse square law of gravitational attraction between two masses m1 and m2 is given by F = −Gm m r / || r ||3 , where r = x i + y j + z k . Show that F is conservative. Find a potential function for F.arrow_forwardHow much energy is required to move a satellite of mass 1000 kg from the surface of the Earth to an altitude 3 times the radius of the Earth? I was wondering if I did this question correctly.arrow_forward
- A spaceship with m = 1.00 ✕ 104 kg is in a circular orbit around the Earth, h = 800 km above its surface. The ship's captain fires the engines in a direction tangent to the orbit, and the spaceship assumes an elliptical orbit around the Earth with an apogee of d = 3.00 ✕ 104 km, measured from the Earth's center. How much energy (in J) must be used from the fuel to achieve this orbit? (Assume that all the fuel energy goes into increasing the orbital energy and that the perigee distance is equal to the initial radius.)arrow_forwardA 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_forwardCalculate the gravitational potential V for a hemisphere of radius R with uniform mass distribution.arrow_forward
- One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M= 4.1 * 1024 kg and R = 6.0 *106 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet?arrow_forwardConsider a satellite in elliptical orbit around a planet of mass M, and suppose that physical units are so chosen that GM D 1 (where G is the gravitational constant). If the planet is located at the origin in the xy-plane, then Explain the equations of motion of the satellite?arrow_forwardA satellite with mass 898 kg is in a circular orbit with an orbital speed of 5840 m/s around the earth. a) What is the new orbital speed after friction from the earth's upper atmosphere has done −7.5×10^9 J of work on the satellite? b) Does the speed increase or decrease?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: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher: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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning