Concept explainers
(a)
To Find: The expression for the satellite’s mechanical energy.
(a)
Answer to Problem 29P
Explanation of Solution
Given:
A satellite of mass
Formula Used:
Kinetic energy is calculated as
Where,
The mechanical energy of the satellite is given as
Calculation:
Let mass of Earth be
Let radius of Earth be
Also, mass of satellite
circular orbit of satellite is of radius
Now, the tangential velocity of the satellite is given as
Where,
Thus, the kinetic energy of a satellite in a circular orbit is calculated as
Also, the gravitational potential energy at infinity is considered to be zero, thus the potential energy at distance
Now, the total mechanical energy of the satellite is given as
Conclusion:
Thus, satellite’s mechanical energy is
(b)
To Find: The energy and speed of satellite.
(b)
Answer to Problem 29P
The energy of satellite is
Explanation of Solution
Given:
A satellite of mass
Formula Used:
Work done by spring is calculated as
Where,
Calculation:
The mechanical energy of the satellite is calculated as
Here,
Substitute the values:
The energy of satellite is
Also, we know
Thus, speed of the satellite is calculated as
Conclusion:
Thus, energy of the satellite is
Want to see more full solutions like this?
Chapter 7 Solutions
Physics Fundamentals
- 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) 25arrow_forwardA cyclist in a race must climb a 5 hill at a speed of 8 m/s. If the mass of the bike and the biker together is 80 kg, what must be the power output of the biker to achieve the goal?arrow_forwardWhat average power is generated by a 70.0-kg mountain climber who climbs a summit of height 325 m in 95.0 min? (a) 39.1 W (b) 54.6 W (c) 25.5 W (d) 67.0 W (e) 88.4 Warrow_forward
- Rank the following quantities of energy from largest to the smallest. State if any are equal. (a) the absolute value of the average potential energy of the SunEarth system (b) the average kinetic energy of the Earth in its orbital motion relative to the Sun (c) the absolute value of the total energy of the SunEarth systemarrow_forwardIn each situation shown in Figure P8.12, a ball moves from point A to point B. Use the following data to find the change in the gravitational potential energy in each case. You can assume that the radius of the ball is negligible. a. h = 1.35 m, = 25, and m = 0.65 kg b. R = 33.5 m and m = 756 kg c. R = 33.5 m and m = 756 kg FIGURE P8.12 Problems 12, 13, and 14.arrow_forwardA particle of mass 2.0 kg moves under the influence of the force F(x)=(3/x)N. If its speed at x=2.0 m is v=6.0 m/s, what is its speed at x = 7.0 m?arrow_forward
- Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .arrow_forwardA mysterious force acts on all particles along a particular line and always points towards a particular point P on the line. The magnitude of the force on a particle increases as the cube of the distance from that point; that is Fr3 , if the distance from P to the position of the particle is r. Let b be the proportionality constant, and write the magnitude of the force as F=br3. Find the potential energy of a particle subjected to this force when the particle is at a distance D from P, assuming the potential energy to be zero when the particle is at P.arrow_forwardA 977-kg satellite orbits the Earth at a constant altitude of 101-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 205 km? 892.8 How is the total energy of an object in circular orbit related to the potential energy? MJ (b) What is the change in the system's kinetic energy? 178 Is the satellite moving faster or slower when it's orbit is at a higher altitude? MJ (c) What is the change in the system's potential energy? MJarrow_forward
- As it orbits Earth, the 11,000-kg Hubble Space Telescope travels at a speed of 7,900 m/s and is 560,000 m above Earth's surface. (a) What is its kinetic energy? 316.45 X J (b) What is its potential energy? (Assume that the Hubble Space Telescope is close enough to Earth that its acceleration due to gravity is g = 9.8 m/s-. Take the potential energy relative to the surface of Earth.) -632.902 X Jarrow_forwardIn a futuristic scenario, you are assigned the mission of making an enemy satellite that is in a circular orbit around Earth inoperative. You know you cannot destroy the satellite, as it is well protected against attack, but you can try to knock it out of its orbit so it will fly away and never return. What is the minimum amount of work ?W applied to the satellite that is required to accomplish that? The satellite's mass and altitude are 969 kg969 kg and 241 km.241 km. Earth's mass and radius are 5.98×1024 kg5.98×1024 kg and 6370 km.arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples 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 Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University