Transformation of kinetic energy to potential energy, Physics

Assignment Help:

Q. Transformation of kinetic energy to potential energy?

A tiny ball at the end of string is swung in a circular vertical loop. The speed of rotation is reducing to the point that the tension on the string at the top of the loop drops to zero, analyze the system for this condition. The forces on the ball consist of its weight the centrifugal force because of motion along a circular path and the tension from the string which provides the centripetal force.

Ft = (mv2)/l- mg - Ts,

Where Ft is the total of the forces m is the mass of the ball and l is the length of the string and Ts is the tension. by the pinnacle of the loop the forces are in

868_Transformation of kinetic energy to potential energy.png

Equilibrium thus Ft = 0 Let vt be the velocity of the ball at the top. If the tension falls to zero there we have

mvt2/l= mg,                             so,

vt2= gl                                     and,

vt =√gl.

The kinetic energy of a ball at the top of the loop is

mv t 2/2.

At the bottom of the loop the kinetic energy is enhanced by the potential energy at the top. From this we are able to determine the velocity at the bottom

mvb2/2 = (mvt2/2)+ 2mgl

Solving for vb:

                                                vb2= vt2+ 4gl

vb2= gl + 4gl = 5gl

vb =√5gl.

The total force on the ball at the bottom is the sum of the centrifugal force and its weight. This concludes the tension on the string.

Fb = (mvb2/l) + mg

Fb = (5mgl/l) + mg

Fb = 6mg.

Consequently when the rotation rate is such that the ball experiences no vertical forces at the top of the loop it experiences 6 g's at the bottom.


Related Discussions:- Transformation of kinetic energy to potential energy

How many types of illuminators are there, How many types of illuminators ar...

How many types of illuminators are there? As there are no standards inside the industry, the term "type" is slightly confusing. Regading to power usage, the lamp illuminators c

Tangent law, State two conditions which must be satisfied in order to apply...

State two conditions which must be satisfied in order to apply tangent law in magnetism

What is the ratio of amounts of work done by the two worms, Two 20-g ?atwor...

Two 20-g ?atworms climb over a very thin wall, 10 cm high. One of the worms is 20 cm long, the other is wider and only 10 cm long. Which of them has done more work against grav

Which of the following are isoelectronic with one another, Which of the fol...

Which of the following are isoelectronic with one another: (1)Na + ans Ne   (2)K + ans O       (3)Ne ans O          (4)Na + ans K + Ans: Na + ans Ne

Draw the v-t graph of an automobile, Draw the v-t graph of an automobile th...

Draw the v-t graph of an automobile that accelerates uniformly from rest at t = 0.00 s and covers a distance of 180.0 m in 12.0 s.

Gray, Gray; Gy (after L.H. Gray, 1905-1965): The derived SI unit of ab...

Gray; Gy (after L.H. Gray, 1905-1965): The derived SI unit of absorbed dose, described as the absorbed dose wherein the energy per unit mass imparted to the matter through ion

Electric, What makes a flashlight suddenly become dim or bright when you sh...

What makes a flashlight suddenly become dim or bright when you shake it?

Pn junction is represented as a diode, Pn junction is represented as a diod...

Pn junction is represented as a diode Pn junction is represented as a diode D in the emitter as represented in figure. If a voltage VBB is applied between bases with emitter op

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd