(a) Explanation Given info: Mass of the space capsule is 645 kg , initial distance of the capsule from the center of Earth is 1.20 × 10 7 m , change in distance of the capsule is 3.00 × 10 6 m , Earth’s mass is 5.98 × 10 24 kg , and gravitational constant is 6.673 × 10 − 11 m 3 /kg ⋅ s 2 . The final position of the capsule after its fall is, r f = r i − Δ r r f is final distance of the capsule r i is initial distance of the capsule. Δ r is change in distance of the capsule. Substitute 1.20 × 10 7 m for r i and 3.00 × 10 6 m for Δ r to find r f . r f = 1.20 × 10 7 m − 3.00 × 10 6 m = 9 × 10 6 m The change in potential energy of the space capsule is, Δ P E = P E f − P E i (I) Δ P E is the change in potential energy P E i is the initial potential energy P E f is the final potential energy The initial potential energy of the capsule is, P E i = − G M E m r i (II) G is gravitational constant. M E is mass of Earth. m is mass of capsule. r i is initial distance of the capsule from the center of Earth. The final potential energy of the capsule is, P E f = − G M E m r f (III) r f is final distance of the capsule from the center of Earth (b) To determine The speed of the satellite at the point.

Bundle: College Physics, Loose-Leaf Version, 10th, + WebAssign Printed Access Card for Serway/Vuille's College Physics, 10th Edition, Multi-Term

10th Edition

ISBN: 9781305367395

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force betwe…

Question

Chapter 7, Problem 14WUE

(a)

To determine

The change in the system’s gravitational potential energy.

(b)

To determine

The speed of the satellite at the point.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 7, Problem 13WUE

Chapter 7, Problem 15WUE

Students have asked these similar questions

a cubic foot of argon at 20 degrees celsius is isentropically compressed from 1 atm to 425 KPa. What is the new temperature and density?

Calculate the variance of the calculated accelerations. The free fall height was 1753 mm. The measured release and catch times were: 222.22 800.00 61.11 641.67 0.00 588.89 11.11 588.89 8.33 588.89 11.11 588.89 5.56 586.11 2.78 583.33 Give in the answer window the calculated repeated experiment variance in m/s2.

No chatgpt pls will upvote

Chapter 7 Solutions

Bundle: College Physics, Loose-Leaf Version, 10th, + WebAssign Printed Access Card for Serway/Vuille's College Physics, 10th Edition, Multi-Term

Ch. 7.1 - A rigid body is rotating counterclockwise about a...Ch. 7.1 - Suppose the change in angular position for each of...Ch. 7.2 - Consider again the pairs of angular positions for...Ch. 7.3 - Andrea and Chuck are riding on a merry-go-round....Ch. 7.3 - When the merry-go-round of Quick Quiz 7.4 is...Ch. 7.4 - A racetrack is constructed such that two arcs of...Ch. 7.4 - An object moves in a circular path with constant...Ch. 7.5 - A ball is falling toward the ground. Which of the...Ch. 7.5 - A planet has two moons with identical mass. Moon 1...Ch. 7.6 - Suppose an asteroid has a semimajor axis of 4 AU....

Ch. 7 - Math Review A circular track has a radius of 125...Ch. 7 - Math Review (a) Convert 47.0 to radians, using the...Ch. 7 - (a) Convert 12.0 rev/min to radians per second....Ch. 7 - A carnival carousel accelerates nonuniformly from...Ch. 7 - Prob. 5WUE Ch. 7 - A grindstone increases in angular speed uniformly...Ch. 7 - A bicyclist starting at rest produces a constant...Ch. 7 - A car of mass 1 230 kg travels along a circular...Ch. 7 - A man whirls a 0.20-kg piece of lead attached to...Ch. 7 - (a) Find the magnitude of the gravity force...Ch. 7 - What is the gravitational acceleration close to...Ch. 7 - Prob. 12WUE Ch. 7 - Prob. 13WUE Ch. 7 - Prob. 14WUE Ch. 7 - A comet has a period of 76.3 years and moves in an...Ch. 7 - In a race like the Indianapolis 500, a driver...Ch. 7 - If someone told you that astronauts are weightless...Ch. 7 - If a cars wheels are replaced with wheels of...Ch. 7 - At night, you are farther away from the Sun than...Ch. 7 - A pendulum consists of a small object called a bob...Ch. 7 - Because of Earths rotation about its axis, you...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - Describe the path of a moving object in the event...Ch. 7 - A pail of water can be whirled in a vertical...Ch. 7 - Use Keplers second law to convince yourself that...Ch. 7 - Is it possible for a car to move in a circular...Ch. 7 - A child is practicing for a BMX race. His speed...Ch. 7 - An object executes circular motion with constant...Ch. 7 - Angular Speed and Angular Acceleration (a) Find...Ch. 7 - A wheel has a radius of 4.1 m. How far (path...Ch. 7 - The tires on a new compact car have a diameter of...Ch. 7 - A potters wheel moves uniformly from rest to an...Ch. 7 - A dentists drill starts from rest. After 3.20 s of...Ch. 7 - A centrifuge in a medical laboratory rotates at an...Ch. 7 - A machine part rotates at an angular speed of 0.06...Ch. 7 - A bicycle is turned upside down while its owner...Ch. 7 - The diameters of the main rotor and tail rotor of...Ch. 7 - The tub of a washer goes into its spin-dry cycle,...Ch. 7 - A car initially traveling at 29.0 m/s undergoes a...Ch. 7 - A 45.0-cm diameter disk rotates with a constant...Ch. 7 - A rotating wheel requires 3.00 s to rotate 37.0...Ch. 7 - An electric motor rotating a workshop grinding...Ch. 7 - A car initially traveling eastward turns north by...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - (a) What is the tangential acceleration of a bug...Ch. 7 - An adventurous archeologist (m = 85.0 kg) tries to...Ch. 7 - One end of a cord is fixed and a small 0.500-kg...Ch. 7 - A coin rests 15.0 cm from the center of a...Ch. 7 - A 55.0-kg ice skater is moving at 4.00 m/s when...Ch. 7 - A 40.0-kg child swings in a swing supported by two...Ch. 7 - A certain light truck can go around a flat curve...Ch. 7 - A sample of blood is placed in a centrifuge of...Ch. 7 - A 50.0-kg child stands at the rim of a...Ch. 7 - A space habitat for a long space voyage consists...Ch. 7 - An air puck of mass m1 = 0.25 kg is tied to a...Ch. 7 - Prob. 28P Ch. 7 - A woman places her briefcase on the backseat of...Ch. 7 - A pail of water is rotated in a vertical circle of...Ch. 7 - A 40.0-kg child takes a ride on a Ferris wheel...Ch. 7 - Prob. 32P Ch. 7 - The average distance separating Earth and the Moon...Ch. 7 - A satellite has a mass of 100 kg and is Located at...Ch. 7 - A coordinate system (in meters) is constructed on...Ch. 7 - Prob. 36P Ch. 7 - Objects with masses of 200. kg and 500. kg are...Ch. 7 - Use the data of Table 7.3 to find the point...Ch. 7 - Prob. 39P Ch. 7 - Two objects attract each other with a...Ch. 7 - Prob. 41P Ch. 7 - Prob. 42P Ch. 7 - A satellite of Mars, called Phoebus, has an...Ch. 7 - Prob. 44P Ch. 7 - Two satellites are in circular orbits around the...Ch. 7 - Additional Problems A synchronous satellite. which...Ch. 7 - (a) One of the moons of Jupiter, named Io, has an...Ch. 7 - Neutron stars are extremely dense objects that are...Ch. 7 - One method of pitching a softball is called the...Ch. 7 - A digital audio compact disc (CD) carries data...Ch. 7 - An athlete swings a 5.00-kg ball horizontally on...Ch. 7 - A car rounds a banked curve where the radius of...Ch. 7 - Prob. 53AP Ch. 7 - A 0.400-kg pendulum bob passes through the lowest...Ch. 7 - A car moves at speed v across a bridge made in the...Ch. 7 - Prob. 56AP Ch. 7 - Because of Earths rotation about its axis, a point...Ch. 7 - Prob. 58AP Ch. 7 - In Robert Heinleins The Moon Is a Harsh Mistress,...Ch. 7 - A roller coaster travels in a circular path, (a)...Ch. 7 - In a home laundry dryer, a cylindrical tub...Ch. 7 - A model airplane of mass 0.750 kg flies with a...Ch. 7 - A skier starts at rest at the top of a large...Ch. 7 - Casting of molten metal is important in many...Ch. 7 - Suppose a 1 800-kg car passes over a bump in a...Ch. 7 - A stuntman whose mass is 70 kg swings from the end...Ch. 7 - Prob. 67AP Ch. 7 - The pilot of an airplane executes a constant-speed...Ch. 7 - A piece of mud is initially at point A on the rim...Ch. 7 - A 0.275-kg object is swung in a vertical circular...Ch. 7 - A 4.0-kg object is attached to a vertical rod by...Ch. 7 - The maximum lift force on a bat is proportional to...Ch. 7 - (a) A luggage carousel at an airport has the form...Ch. 7 - A 0.50-kg ball that is tied to the end of a 1.5-m...Ch. 7 - In a popular amusement park ride, a rotating...Ch. 7 - A massless spring of constant k = 78.4 N/m is...

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.

The change in the system’s gravitational potential energy.

Solution Summary: The author explains the change in the system's gravitational potential energy and the final position of the capsule after its fall.

Concept explainers

The change in the system’s gravitational potential energy.

The speed of the satellite at the point.

Want to see the full answer?

Chapter 7 Solutions