First slide

Mechanical energy conservation

Question

Total mechanical energy of a system is 24 Joule. If minimum potential energy stored in the system is 6 Joule and dissipative forces are absent, then maximum kinetic energy that the system can possess is

Moderate

A

12 Joule
B

18 Joule
C

15 Joule
D

8 Joule

Solution

Since dissipative forces are absent,
$\begin{array}{l} KE + PE = E \Rightarrow {KE}_{\max} + {PE}_{\min} = E \\ \Rightarrow {(KE)}_{\max} = E - {(PE)}_{\min} = (24 - 6) Joule = 18 Joule \end{array}$

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