To double the total energy of a mass oscillating at the end of a spring with amplitude A,we need to
A)increase the angular frequency by $\sqrt { 2 }$ .
B)increase the amplitude by $\sqrt { 2 }$ .
C)increase the amplitude by 2.
D)increase the angular frequency by 2.
E)increase the amplitude by 4 and decrease the angular frequency by $\frac { 1 } { \sqrt { 2 } }$ .

Question

Quizplus · Accepted Answer

The total energy of a mass oscillating at the end of a spring is given by:$$E = \frac{1}{2}kA^2$$where k is the spring constant and A is the amplitude.To double the total energy, we need to double the amplitude.Therefore, the correct answer is B.

To Double the Total Energy of a Mass Oscillating at the End