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

Electrostatics , find the number of electric lines of force that radiate ou...

find the number of electric lines of force that radiate outwards from one coulomb charge in vaccum

Calculate power required to operate the fan, A centrifugal fan is used to p...

A centrifugal fan is used to pump air. The fan rotor is 1 ft in diameter, and the blade spacing is 2 in. The air enters with no angular momentum and exits radially with respect to

What is the angular magnification of the telescope, Q. (a) A giant refract...

Q. (a) A giant refracting telescope at an observatory has an objective lens of focal length 15m. If an eyepiece of focal length 1.0 cm is used, what is the angular magnification o

Degenerate and non-degenerate semiconductor, THE SEMICONDUCTOR in which num...

THE SEMICONDUCTOR in which number of electrons or holes is smaller than N c  and N v  density of state in CB or VB are called non-degenerate semiconductor. The general exponential

What was the acceleration of the car, Assume a car rolls down a 52.0-m-long...

Assume a car rolls down a 52.0-m-long inclined parking lot and is stopped by a fence. If it took the car 11.25 s to roll down the hill, what was the acceleration of the car bef

Explain cross belts, Using cross belts cross the belt on the spool pull...

Using cross belts cross the belt on the spool pulleys used in C 1 above and turn one of the pulleys. Note that they now turn in opposite directions.

Explain emitted photoelectrons, Light with a frequency of 7.5 x 10 14 Hz i...

Light with a frequency of 7.5 x 10 14 Hz is able to eject electrons from the metal surface of a photocell that has a threshold frequency of 5.2 x 10 14 Hz. What stopping potentia

Radioactivity-bone cancer, Bone cancer -  A portion of the skeleton being ...

Bone cancer -  A portion of the skeleton being destroyed by cancer will be trying to rebuild itself and will take up more or many elements than normal bone. - The blood is injecte

Write down gauss law in electrostatics, Write down Gauss law in electrostat...

Write down Gauss law in electrostatics. get its differential form in vacuum.

Ohm’s law verification, Ohm's law : The electric current (i) in a conductor...

Ohm's law : The electric current (i) in a conductor is proportional to the potential difference (V) between its ends of a constant temperature (T).   Verification: To v

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