A girl riding a bicycle along a straight road with a speed of 5 ms^(-1) throws a stone of mass 0.5 kg which has a speed of 15 ms^(-1) with respect to the ground along her direction of motion.The mass of the girl and bicycle is 50 kg. Does the speed of the bicycle change after the stone is thrown ? What is the change in speed, if so

A girl riding a bicycle along a straight road with a speed of 5 ms^(-1

1.	A girl riding a bicycle along a straight road with a speed of 5 ms^(-1) throws a stone of mass 0.5 kg which has a speed of 15 ms^(-1) with respect to the ground along her direction of motion.The mass of the girl and bicycle is 50 kg. Does the speed of the bicycle change after the stone is thrown ? What is the change in speed, if so
Answer» Solution :Massof girlbicycle =50 kg TOTALMASS of system(girl+bicycle+ stone ) VELOCITYOF bicycle `mu_(1)m//s`mass of stone`m_(2) =0.5 kg` Velocityof stone`u_(2) =15m//s ` Massof girlandbicyclem= 50kg Yes the speedof the bicyclewill changeafter thestone is thrown. Let afterthrowingthe stone`vm//s`speedof bicycle By lawof conservationof linearmomentum `m_(1)u_(1) = m_(2) u_(2)+mv` 50.5 XX 5 =0.5xx 15+ 50xx v` 252.5=7.5= 50 v` `v= (245.0)/( 50)` `v= 4.9 m//s` Changein speed=5-4.9=0.1m//s`