In 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 993 kg and 243 km. Earth's mass and radius are 5.98 × 1024 kg and 6370 km.

In 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 993 kg and 243 km. Earth's mass and radius are 5.98 × 1024 kg and 6370 km.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A body of weight 1 N has a potential energy of 1 J relative to the ground.Find the height?

Q: nd of the rod, along the axis system. Take the potential e

A: Given: Length can be L and mass M Expansion of power series is ln (1+x)

Q: You have an object of mass 3.9 kg. If it is moving at a speed of 12.3 m/s and is a distance of 34.1…

Q: A mass M is split into two parts, m and M - m, which are then separated by a certain distance. What…

A: The gravitational potential energy(U) for a system of two masses m1 and m2 separated by a distance…

Q: A spacecraft of mass m moves around Earth in a circular orbit with a constant radius r at constant…

A: Given data: Mass of spacecraft is, m. Radius of circular orbit is, r.

Q: The Kingda Ka is the tallest rollercoaster, standing at an astounding 456 meters! Wow! Suppose you…

A: ,Given , height of the hill h= 456m Mass. Of the roller coaster =4500 kg To find, Velocity of roller…

Q: (a) Choosing the bottom of the slide as the reference configuration, what is the system's potential…

Q: A satellite of mass 4.50 x 102kg orbits the earth in a circle of radius 3.56 x 107m. Relative to…

A: Gravitational potential energy is the energy an object possesses because of its position in a…

Q: A satellite is orbiting the earth in a perfectly circular orbit of radius 7.0 x 10³ km at constant…

Q: A 0.32-kg stone is dropped into a water well while being held 1.2 m above the top of the well's rim.…

A: Given Mass of the stone is given as m=0.32 kg Initial height of the stone above the top of the…

Q: A baseball with a mass of 0.145 kg is held 10m from the ground. What is the kinetic, potential, and…

Q: process. Take the rocket at rest on Earth's surface as your initial state and when the rocket is at…

Q: A 65.0 kg skateboarder passes a point P that is 4.75 m above the bottom of the hill with a speed of…

A: Given,mass of skateboarder, m = 65.0 kg Height of point, P,hp = 4.75 m velocity at point P, vp =…

Q: The gravitational force on a 1 kg object at a distance r meters 4.10¹4 p2 from the center of the…

Q: Consider a satellite in a circular orbit above Earth's surface. In Chapter 4 of the textbook we will…

A: In this question we have to answer why the work done is zero and the force of gravity changes…

Q: A satellite with a mass of 76.6 kg revolves around the equator at an altitude of 1636 km above the…

A: The potential gravitational energy of an object is actually the value of the object's potential…

Q: In the Empire State Building Run-Up, competitors race up the 1576 steps of the Empire State…

Q: A 5950-kg satellite is in a circular earth orbit that has a radius of 3.27 x 107 m. A net external…

Q: Problem 5: A 0.25 kg ball is suspended from a light 0.65 m string as shown. The string makes an…

A: We will use conservation of energy

Q: A 5690-kg satellite is in a circular earth orbit that has a radius of 3.31 x 107 m. A net external…

A: Given, The mass of the satellite is m=5690kg The radius of the orbit is r=3.31×107m The new radius…

Q: Object A and object B have the same mass, object B is placed on the second floor, and object A is on…

A: Given:Object A on the 4th floor has greater gravitational potential energy than object B on the 2nd…

Q: In deep space, sphere A of mass 130 kg is located at the origin of an x axis and sphere B of mass…

A: Mass of A=130kg Mass of B=140Kg

Q: 2. Ryan having mass 60 kg possesses a kinetic energy of 1.3 kJ. What is his speed?

A: Disclaimer - You have asked multiple questions, so as per our guidelines we will answer the first…

Q: A satellite has a mass of 462 kg and is located at 2.05 x 106 m above the surface of Earth. (a) What…

A: Given data: Mass of the satellite m =462kg Height of satellite from the surface of the…

Q: Two planets are a distance 2r, from each other. One planet has mass 2m, and the other planet has…

Q: You have an object of mass 555 kg, that is a distance 1.0 m above the ground. If we call the ground…

Q: A 4.0 kg object is raised 7 meters above the ground (on the earth). How high would the object have…

Q: A small block with mass 1 kg slides in a vertical circle of radius 0.5 m on the inside of a circular…

A: Mass= 1kg Initial velocity= 5 m/s Final velocity= 1 m/s Radius= 0.5 m

Q: A new type of force was discovered by physicists with the following expression: a Fnew + Be* + 3x4…

A: Given: The value of new force is Fnew=αx+βex+3x4. The formula to calculate the work done on a…

Q: The three spheres in the figure, with masses ma = 82 g, mB = 7 g, and mc = 20 g, have their centers…

A: Given data The mass of sphere A is mA = 82 g = 0.082 kg The mass of sphere B is mB = 7 g = 0.007 kg…

Q: A new type of force was discovered by physicists with the following expression: a Fnew + Be* + 3x4…

A: The work done is calculated in the following way.

Q: How much work is required to move a 1550 kg satellite from a circular orbit with an altitude of 105…

A: The expression to solve for the gravitational potential energy is as follows: U=-GMm2r…

Q: The three spheres in the figure, with masses mA = 83 g, mB = 8 g, and mC = 17 g, have their centers…

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 between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

100%

In 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 993 kg and 243 km. Earth's mass and radius are 5.98 × 1024 kg and
6370 km.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

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

If a 1000 kg car is exiting a highway through an above-the-ground ramp of 5.0 m radius at 12 m/s, what is the potential energy?
Determine the escape velocity (minimum speed of an object/body) for planet earth. Start from the definition of Gravitational force GM m F = and Work w= S Fdz where G is the universal gravitational constant, Me is the mass of earth, m is the mass of the object/body, and z is the distance between Earth and object/body (the same as the radius of earth).
Matthew pushes a box of toys along a 5 m long ramp that is inclined 3 m high. The force exerted is parallel to the ground, not the ramp. The box has a total mass of 20 kg and the coefficient friction between the box and the ramp is 0.33. How much work is done by friction?
A 51-kg satellite is put into orbit and has 152 MJ of kinetic energy. How high above the Earth's surface is the orbit?
A 7,800 kg space capsule is 150 m above the Moon. If the Moon has a gravitational acceleration of 1.63 m/s^2, what is the gravitational potential energy of the capsule?
A 3 kg history textbook is placed on a 2 m high desk. How large is the gravitational potential energy of the textbook relative to the floor?
You have two 1500 kg masses 80.0 m apart. What is the gravitational potential energy of this system? Assume U= 0 for infinite separation of the three masses.
Taking the surface of Earth as reference level, how high above the ground does a 65-kg flying witch on a broomstick possess 7.1×103 J of gravitational potential energy?
The 50 kg block slides down the 2m high ramp. At some point, the block is .5 meters above the ground. What is its kinetic energy and potential energy of the block at that point? Keep in mind, the sum of the potential energy and kinetic energy has to be a constant value at any point on the ramp. We are ignoring any frictional effects.
The three spheres in the figure, with masses mA = 75 g, mB = 9 g, and mc = 23 g, have their centers on a common line, with L = 23 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? B L ·d C
If a 1000 kg car is exiting a highway through an above-the-ground ramp of 5.0 m radius at 12 m/s, what is the potential energy?
The Elf on the Shelf has mass 0.500 kg and is sitting on a shelf some height y above the ground. If the gravitational potential energy is 49.0 J, what is y?