Work, Power and EnergyEasy
Question
A particle is moving in a circle of radius r under the action of a force F = αr2 which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy = 0 for r = 0) :
Options
A.1/2 αr3
B.5/6 αr3
C.4/3 αr3
D.αr3
Solution
dU = F.dr
U =
= αr2
m2v2 = mαr3
2m(KE) =
αr3
Total E =
αr3
U =
= αr2m2v2 = mαr3
2m(KE) =
αr3Total E =
αr3Create a free account to view solution
View Solution FreeMore Work, Power and Energy Questions
An electric motor produces a tension of 4500N in a load lifting cable and rolls it at the rate of 2m/s. The power of the...A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The ...A heater is designed to operate with a power of 1000W in a 100V line. It is connected in combination with a resistance o...An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shownin the figure). Initiall...A particle which is constrained to move along the x-axis is subjected to a force in the same direction which varies with...