/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q62P 聽Calculate the speed of a satel... [FREE SOLUTION] | 91影视

91影视

Calculate the speed of a satellite in a circular orbit near the Earth (just above the atmosphere). If the mass of the satellite is 200kg, what is the minimum energy required to move the satellite from this near-Earth orbit to very far away from the Earth?

Short Answer

Expert verified

The speed of a satellite is 4.5810-8m/s

The minimum energy required to move the satellite is -6.2610-11J

Step by step solution

01

Identification of given data

The mass of the satellite is 200kg

02

Concept of energy in the satellite

A satellite revolves around the earth and it requires energy. This is called as orbiting energy. As the satellite does revolve around the earth, the satellite get kinetic energy in a gravitational field and it gets potential energy.

03

Calculation of the speed of a satellite

The speed of a satellite,

v=GMR(1)

Where,

G=6.674310-11Nm2/kg2

M=200kg

R=Radius of the earth=6371000m

Substitute these values in Equation (1),

v=GMR

=6.674310-1120063710001Nm2/kg21kg1m

=6.674310-112006371000(1Nm)kg1kgm/s21N

=6.674310-1120063710001m2/s2

=4.5810-8m/s

Hence, the speed of a satellite in a circular orbit near the Earth is 4.5810-8m/s

04

Calculation of the minimum energy required to move the satellite

Total Energy = Kinetic Energy + Potential Energy

TE KE + PE

GMm2r-GMmr

=-GMm2r

Substitute these values in above expression,

TE=-6.674310-11Nm2/kg25.972(kg)104200(kg)26371000m

=-6.2610-111Nm2kg(1kg)(1kg)1m

=-6.2610-111Nm1J1Nm

=-6.2610-11J

The total energy of the satellite is negative which means a satellite will never be able to escape from the gravitational pull of the Earth.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A proton(H1)and a deuteron ((H2), 鈥渉eavy鈥 hydrogen) start out far apart. An experimental apparatus shoots them toward each other (with equal and opposite momenta). If they get close enough to make actual contact with each other, they can react to form a helium-3nucleus and a gamma ray (a high-energy photon, which has kinetic energy but zero rest energy):H1+2H3He+y

This is one of the thermonuclear or fusion reactions that takes place inside a star such as our Sun.

The mass of the proton is 1.0073 u(unified atomic mass unit,1.710-27kg), the mass of the deuteron is 2.0136 u, the mass of the helium-3nucleus is 3.0155 u, and the gamma ray is massless. Although in most problems you solve in this course it is adequate to use values of constants rounded to two or three significant figures, in this problem you must keep at least six significant figures throughout your calculation. Problems involving mass changes require many significant figures because the changes in mass are small compared to the total mass. (a) The strong interaction has a very short range and is essentially a contact interaction. For this fusion reaction to take place, the proton and deuteron have to come close enough together to touch. The approximate radius of a proton or neutron is about110-15m. What is the approximate initial total kinetic energy of the proton and deuteron required for the fusion reaction to proceed, in joules and electron volts (1eV=1.610-19J)? (b) Given the initial conditions found in part (a), what is the kinetic energy of theHe3plus the energy of the gamma ray, in joules and in electron volts? (c) The net energy released is the kinetic energy of theHe3plus the energy of the gamma ray found in part (b), minus the energy input that you calculated in part (a). What is the net energy release, in joules and in electron volts? Note that you do get back the energy investment made in part (a). (d) Kinetic energy can be used to drive motors and do other useful things. If a mole of hydrogen and a mole of deuterium underwent this fusion reaction, how much kinetic energy would be generated? (For comparison, aroundare obtained from burning a mole of gasoline.) (e) Which of the following potential energy curvesin Figure 6.87 is a reasonable representation of the interaction in this fusion reaction? Why?

As we will study later, the average kinetic energy of a gas molecule is32kbT, whereis the 鈥淏oltzmann constant,鈥1.410-23J/K, andis the absolute or Kelvin temperature, measured from absolute zero (so that the freezing point of water is273K). The approximate temperature required for the fusion reaction to proceed is very high. This high temperature, required because of the electric repulsion barrier to the reaction, is the main reason why it has been so difficult to make progress toward thermonuclear power generation. Sufficiently high temperatures are found in the interior of the Sun, where fusion reactions take place.

Outside the space shuttle, you and a friend pull on two ropes to dock a satellite whose mass is 700kg. The satellite is initially at position(3.5,1,2.4)mand has a speed of4m/s. You exert a force(400,310,250)N. When the satellite reaches the position(7.1,3.2,1.2)mits speed is4.01m/s. How much work did your friend do?

A constant force 23,12,32Nacts through a displacement0.12,0.31,0.24m. How much work does this force do?

A nucleus whose mass is 3.9172681025kg undergoes spontaneous alpha decay. The original nucleus disappears and there appear two new particles: a He-4 nucleus of mass6.6406781027kg (an alpha particle consisting of two protons and two neutrons) and a new nucleus of mass3.8507681025kg . (Note that the new nucleus has less mass than the original nucleus, and it has two fewer protons and two fewer neutrons.)

(a) What is the total kinetic energy of the alpha particle and the new nucleus?

(b) Use the conservation of momentum in order to determine the kinetic energy of the alpha particle and kinetic energy of the new nucleus.

Question: An automobile traveling on a highway has an average kinetic energy of . Its mass is . What is its average speed? Convert your answer to miles per hour to see whether it makes sense. If you could use all of themc2rest energy of some amount of fuel to provide the car with its kinetic energy of , What mass of fuel would you need?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.