/*! 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} Q51P An object with mass 7 kg聽moves ... [FREE SOLUTION] | 91影视

91影视

An object with mass 7 kgmoves from a location <22,43,-41> near the Earth's surface to location<-27,11,46>m. What is the change in the potential energy of the system consisting of the object plus the Earth?

Short Answer

Expert verified

The change in potential energy of the system is -2200J.

Step by step solution

01

Identification of the given data

The given data is listed as follows,

  • The mass of the object is,m=7 kg
  • The initial location is, r,=22,43,-41m
  • The final location is, r,=-27,11,46m
02

Expression of change in potential energy and gravitational force

The change in potential energy is expressed as,

U=F鈬赌(r鈬赌f-r鈬赌i)

Here,r鈬赌iis the final position,r鈬赌f is the initial position andF鈬赌is force.

The gravitational force acting on the object is shown as,

F=mg

Here, m is the mass, g is the acceleration due to gravity with value 9.8m/s2.

03

Determination of the value of the potential energy of the system

The expression for the change in potential energy is expressed as follows,

U=mgr鈬赌f-r鈬赌i

It is known that the change of potential energy is in thedirection only.

Substitute all the values in the above expression.

U=7kg9.8m/s211m-43m=7kg9.8m/s232m=-2195.2kg-m2/s21J1kgm2/s2=-2195.2J-2200J

Thus, the change in potential energy of the system -2200J.

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

This problem is closely related to the spectacular impact of the comet Shoemaker-Levy with Jupiter in July 1994:

http://www.jpl.nasa.gov/sl9/ sl9.html

A rock far outside our solar system is initially moving very slowly relative to the Sun, in the plane of Jupiter鈥檚 orbit around the Sun. The rock falls towards the Sun, but on its way to the Sun it collides with Jupiter. Calculate the rock鈥檚 speed just before colliding with Jupiter. Explain your calculation and any approximations that you make.

Msun=21030kg,MJuipter=21027kg

Distance, Sun to Jupiter =81011m

Radius of Jupiter1.4108m

You push a heavy crate out of a carpeted room and down a hallway with a waxed linoleum floor. While pushing the crate 2.3mout of the room you exert a force of 30N; while pushing it 8mdown the hallway you exert a force of 15N. How much work do you do in all?

You pull your little sister across a 铿俛t snowy 铿乪ld on a sled. Your sister plus the sled have a mass of 20 kg. The rope is at an angle of 35 degrees to the ground. You pull a distance of 50 m with a force of 30 N. How much work do you do?

A paper airplane 铿俰es from position6,10,-3mto-12,2-9m. The net force acting on it during this 铿俰ght, due to the Earth and the air, is nearly constant at-0.03,-0.04,0.09N.What is the total work done on paper airplane by the Earth and the air?

You stand on a spherical asteroid of uniform density whose mass is 21016Kgand whose radius is 10Km. These are typical values for small asteroids, although some asteroids have been found to have much lower average density and are thought to be loose agglomerations of shattered rocks.

(a) How fast do you have to throw the rock so that it never comes back to the asteroid and ends up traveling at a speed of 3 m/swhen it is very far away?

(b) Sketch graphs of the kinetic energy of the rock, the gravitational potential energy of the rock plus asteroid, and their sum, as a function of separation (distance from centre of asteroid to rock).

Label the graphs clearly. The asteroid, and their sum, as a function of separation (distance from centre of asteroid to rock).

Label the graphs clearly.

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.