Work, Power and EnergyHard
Question
A ball moves over a fixed track as shown in the figure. From A to B the ball rolls without slipping. Surface BC is frictionless. KA, KB and KC are kinetic energies of the ball at A, B and C, respectively. Then


Options
A.hA > hC ; KB > KC
B.hA > hC ; KC > KA
C.hA = hC ; KB = KC
D.hA < hC ; KB > KC
Solution
EA = mghA + KA
EB = KB
Ec = mghC + KC
Using conservation of energy
EA = EB = EC
KB > KC
KB > KA
Mg(hA - hC) + (KA - KC) = 0
⇒ hA - hC =
EB = KB
Ec = mghC + KC
Using conservation of energy
EA = EB = EC
KB > KC
KB > KA
Mg(hA - hC) + (KA - KC) = 0
⇒ hA - hC =

Create a free account to view solution
View Solution FreeMore Work, Power and Energy Questions
A force acts on a 3 gm particle in such a way that the position of the particle as a function of time is given by x = 3t...The total energy of the body executing S.H.M. is E. Then the kinetic energy when the displacement is half of the amplitu...A rocket of mass 6 × 103 Kg is arranged to be released in the vertically upward direction. If the velocity of the g...A rod of mass m, uniform cross sectional area A and length L is accelerated by applying force F as shown in figure on a ...A ball falls from a height of 5m and strikes the roof of a lift. If at the time of collision, lift is moving in the upwa...