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

Prof, quality standards and expectations for bathymetric survey

quality standards and expectations for bathymetric survey

Manganin is an alloy of which materials, Manganin is an alloy of (A) C...

Manganin is an alloy of (A) Copper, manganese and nickel. (B) Copper and manganese. (C) Manganese and nickel.               (D) Manganese, aluminium and nickel. Ans:

Motion in one dimension, A tortoise can run with a speed of 0.12 m/s, and a...

A tortoise can run with a speed of 0.12 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 4.0 minutes. The torto

Net Torque, A 65g ball with a diameter of 3.1cm begins at rest and rolls do...

A 65g ball with a diameter of 3.1cm begins at rest and rolls down an incline. The angular acceleration of the ball is a constant 0.55rad/s2. ( I ball=(2/5)mr2 ) Calculate the net t

What is a fiber optic system, What is a fiber optic system? This term c...

What is a fiber optic system? This term comprises all the essential elements to install a working unit.

Types of motion, which circular path in any time in any mation

which circular path in any time in any mation

What are half period zones, What do you understand by half period zones? W...

What do you understand by half period zones? What is their other name? Distinguish between physical and geometric (wave) approximations of light.

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