Amarble of mass m rolls with initial speed v down a long, horizontal hallway. eventually, the marble comes to a stop. how much work has friction performed on the marble?

-mv2

mv2

0.5mv2

-0.5mv2

Explanation:

Given:

Mass of marble =

Initial velocity of marble =

Final velocity of marble = 0 as it comes to rest.

By work energy theorem:

Work done by forces acting on marble is given by :

Work done = Final Kinetic energy - Initial Kinetic energy

Kinetic energy can be calculate using formula:

where represents mass of body and represents velocity of body.

Final kinetic energy:

Initial kinetic energy

Work done by friction on the marble

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation: