Maximum height of ball, Physics

Assignment Help:

Maximum Height of Ball

A solid ball is revolve toward a ramp. How elevated will it be when it stops and begins to roll back down?

895_Maximum Height of Ball.png

The linear kinetic energy like the ball approaches the ramp is

K.E.linear =1/2(mv2).

Because the ball rolls without slipping v = ωR.

A Rotational kinetic energy is

K.E.rotational =1/2(2/5(mR2)) ω2

=1/5(mv2)

So the probable energy at the top of the rise is

P.E. = K.E.linear + K.E.rotational

mgh =1/2(mv2)+1/5(mv2)

mgh =7/10(mv2)

h = (7/10)*(v2/g).

Therefore the height h doesn't depend on the ramp angle or the mass of the ball. It merely depends on the initial velocity and the acceleration due to gravity. Note that a few simplifications assumed by the solution are that no kinetic energy is lost when the ball strikes the ramp and that the heights are in fact those of the center of gravity of the ball.


Related Discussions:- Maximum height of ball

Motion in 1d, reasonings questions from chapter motion 1D

reasonings questions from chapter motion 1D

Types of printed circuit boards, There are two most popular types of PCB as...

There are two most popular types of PCB as under:- (a)       SINGLE SIDED PCB (b)       DOUBLE SIDED PCB (c)       MULTI LAYERED P

The maximum energy stored by the capacitor, A bakelite capacitor is to be c...

A bakelite capacitor is to be constructed to have a capacitance of 0.04µF and to have a steady workingpotential of 1kVmaximum. Allowing a safe value of field stress of 25MV/m find

Find the flux through closed surface b, In the figure below the closed surf...

In the figure below the closed surfaces A and B appear as closed curves. Find the flux through closed surface B.

Relative permitivity, It is a measure of the extent up to which a materia...

It is a measure of the extent up to which a material concentrates electrostatic lines of flux. It is the amount of the stored electrical energy when a potential is applied, relat

Explain constant voltage system, Explain Constant voltage system Const...

Explain Constant voltage system Constant voltage system :  In this process voltage is kept constant but results in very huge charging current in the starting when the back emf

Resistance, RESISTANCE: An electric current is a flow of free electrons...

RESISTANCE: An electric current is a flow of free electrons through a conductor. The size of current flowing through a conductor for a given applied voltage depends on: • T

Electricity, two charge(q) each are kept 1m apart, where should third charg...

two charge(q) each are kept 1m apart, where should third charge be placed in order to get third charge -q/4

Explain time of flight, TIME OF FLIGHT: "It is the total time for which...

TIME OF FLIGHT: "It is the total time for which the projectile remains in air". As, the body goes up and comes back to similar level, so it does not cover vertical distance,

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