/*! 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} Q9E A 8.00-kg ball is tied to the en... [FREE SOLUTION] | 91影视

91影视

A 8.00-kg ball is tied to the end of a string 1.60 m long and swung in a vertical circle. (a) During one complete circle, starting anywhere, calculate the total work done on the ball by (i) the tension in the string and (ii) gravity. (b) Repeat part (a) for motion along the semicircle from the lowest to the highest point on the path.

Short Answer

Expert verified
  1. 0 J and 0 J
  2. 0 J and -25.1 J

Step by step solution

01

Identification of the given data

The given data is listed below as-

  • The mass of the ball is, m=0.8kg
  • The length of a string, l=1.6m
02

Significance of the work done

The Work done along a path P1 to P2 is given by

W=P1P2Fds

The force of tension is perpendicular to the direction of motion if the motion of a ball is a perfect circle. Therefore, the work done by it is 0.

03

Determination of work done on theball during one complete circle(a)

The force of gravity that is directed upwards is given by

Fg=-mgz^

The work done on the ball is given by

Wg=-mgP1P2dz=-mgz2-z1

When the ball went around in a full circle,Wg=0

The work done by Tension is zero.

Thus, the magnitude of work done on the ball by tension is zero and when the ball went around a full circle is also 0.

04

Determination of work done on the ball for motion along the semicircle from the lowest to the highest point on the path(b)

When the ball went from the lowest to the highest point,

Wg=-mgl--l

Here, m isthe mass of the ball, g is the gravitational constant and l is the length of the spring.

For m=0.8kg, l=1.6m, and g=9.8ms-2

Wg=-2mgl=-20.89.81.6J=-25.1J

The work done by Tension is zero.

Thus, the magnitude of work done on the ball by tension is zero and when the ball went from the lowest to the highest point is -25.1 J.

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

The black dots at the top of Fig. represent a series of high-speed photographs of an insect flying in a straight line from left to right (in the positive x-direction). Which of the graphs in Fig. most plausibly depicts this insect鈥檚 motion?

You decide to visit Santa Claus at the north pole to put in a good word about your splendid behavior throughout the year. While there, you notice that the elf Sneezy, when hanging from a rope, produces a tension of 395.0Nin the rope. If Sneezy hangs from a similar rope while delivering presents at the earth鈥檚 equator, what will the tension in it be? (Recall that the earth is rotating about an axis through its north and south poles.) Consult Appendix F and start with a free-body diagram of Sneezy at the equator.

A particle of mass 3m is located 1.00mfrom a particle of mass m.

(a) Where should you put a third mass M so that the net gravitational force on M due to the two masses is precisely zero?

(b) Is the equilibrium of M at this point stable or unstable (i) for points along the line connecting m and 3m, and (ii) for points along the line passing through M and perpendicular to the line connecting m and 3m?

Question- Neptunium. In the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction. Neptunium-237 has a density of 19.5 g/cm3. What would be the radius of a sphere of this material that has a critical mass?

A useful and easy-to-remember approximate value for the number of seconds in a year is饾洃脳107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)

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.