Gravitational Potential Energy 1. An object is moving in a circular orbit around the earth with some radius R. Use the Law ofUniversal Gravitation and Newton's 2nd Law to determine the object's orbital velocity.2. Write an expression for the kinetic energy of an object in a circular orbit. Write this in terms ofthe object's GPE.3. Write an expression for the total energy of an object in a circular orbit. Write this in terms of theobject's GPE.4. To calculate the energy necessary to move from one situation to another we compare the totalenergy in each. How much work must be done by a rocket engine to transfer a 1000 kg satellitefrom an orbit of radius 2Re to 3Re?5. How much work must be done by a rocket engine to lift a 1000 kg payload from rest on theearth's surface to a circular orbit of radius 2Re?6. The binding energy is the work that must be done to allow an object to escape to infinity. Whatis the binding energy for an object:a) on the surface of the earthb) in a circular orbit around the earth

Step 1: Step 2: Step 3: Step 4:

Answered: 1. An object is moving in a circular…

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter3: Energy And Conservation Laws

Section: Chapter Questions

Problem 39P: . In the annual Empire State Building race, contestants run up 1,575 steps to a height of 1,050 ft....

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. In the annual Empire State Building race, contestants run up 1,575 steps to a height of 1,050 ft. In 2003, Australian Paul Crake completed the race in a record time of 9 min and 33 S, Mr., Crake weighed 143 lb (65 kg) , (a) How much work did Mr., Crake do in reaching the top of the building? (b) What was his average power output (in ft-lb/s and in hp)?
Integrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg? (b) How much work is done by the cable in lifting the elevator 20.0 m? (c) What is the final speed of the elevator if it starts from rest? (d) How much work went into thermal energy?
. A bicycle and rider going 10 m/s approach a hill. Their total mass is 80 kg. (a) What is their kinetic energy? (b) If the rider coasts up the hill without pedaling, how high above its starting level will the bicycle be when it finally rolls to a stop?
. The fastest that a human has run is about 12 m/s. (a) If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go? (b) Compare this height with the world record in the pole vault.
. At NASA's Zero Gravity Research Facility in Cleveland, Ohio, experimental payloads fall freely from rest in an evacuated vertical shaft through a distance of 132 m, (a) If a particular payload has a mass of 45 kg, what is its potential energy relative to the bottom of the shaft? (b) How fast will the payload be traveling when it reaches the bottom of the shaft? Convert your answer to mph for a comparison to highway speeds.
Does the kinetic energy of an object depend on the frame of reference in which its motion is measured? Provide an example to prove this point.
Rank the following quantities of energy from largest to 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 system
(a) Can the kinetic energy of a system be negative? (b) Can the gravitational potential energy of a system be negative? Explain.
Answer yes or no to each of the following questions. (a) Can an objectEarth system have kinetic energy and not gravitational potential energy? (b) Can it have gravitational potential energy and not kinetic energy? (c) Can it have both types of energy at the same moment? (d) Can it have neither?
One person drops a ball from the top of a building while another person at the bottom observes its motion. Will these two people agree (a) on the value of the gravitational potential energy of the ballEarth system? (b) On the change in potential energy? (c) On the kinetic energy of the ball at some point in its motion?
(a) What will be the kinetic energy of the asteroid in the previous problem just before it hits Earth? (b) Compare this energy to the output of the largest fission bomb, 2100 TJ. What impact would this have on Earth?
A student has the idea that the total work done on an object is equal to its final kinetic energy. Is this idea true always, sometimes, or never? Ii it is sometimes true, under what circumstances? If it is always or never true, explain why.

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