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

Spectrum, calour formed in pure and impure spectrum

calour formed in pure and impure spectrum

Describe kirchoffs current law, Describe Kirchoffs Current Law? Ans. It...

Describe Kirchoffs Current Law? Ans. It defines " the current flowing toward a point in a circuit have to be equal to the current flowing away from that point. I = I 1 + I

Find magnitude of sum of two force, Two forces have magnitudes of 11 newton...

Two forces have magnitudes of 11 newtons and 5 newtons. The magnitude of their sum could NOT be equal to which of the following values? a) 16 newtons b) 5 newtons b)

Explain centripetal force, Explain Centripetal force?? Sir Isaac Newton...

Explain Centripetal force?? Sir Isaac Newton suggested that motion in a straight line is most natural, and that deviations from this type of motion are caused by a force pullin

Ohm’s law, OHM’S LAW: So far you have been introduced to the concepts o...

OHM’S LAW: So far you have been introduced to the concepts of electric current (as a movement of free electrons through a conducting material), voltage (or potential) and poten

Cut an apple in two parts with inertia, Cut an apple in two parts with iner...

Cut an apple in two parts with inertia Secure a long sharp knife like as a carving knife. Cut into the apple with the knife unless you can pick them up together. Be sure to hav

Determine mutual inductive effects among two inductances, Three impedances ...

Three impedances are connected in series across a 100V, 2kHz supply. The impedances comprise: (i) An inductance of 0.45mH and 2 resistance, (ii) An inductance of 570µH a

Galvanometer, write principles,construction & working of a moving coil galv...

write principles,construction & working of a moving coil galvanometer

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