A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is

Question

Infinity Learn · Accepted Answer

Particle falls from height h then formula for height covered by it in nth rebound is given by                                $$hn=he2nwhere$$ e $$=$$ coefficient of restitution, n $$=$$ No. of reboundTotal distance travelled by particle before rebounding has $$stoppedH=h+2h1+2h2+2h3+2hn+$$........$$=h+2he2+2he4+2he6+2he8+$$.........$$=h+2h(e2+e4+e6+e8+$$.......$$)=h+2he21$$−$$e2=h$$ $$1+2e21$$−$$e2=h$$ $$1+e21$$−$$e2$$

A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material