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 .
B) increase the amplitude by .
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 .

Question

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 . 
B) increase the amplitude by . 
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 .

Quizplus · Accepted Answer

The total energy of a mass oscillating at the end of a spring is given by E = (1/2)kA^2 where k is the spring constant and A is the amplitude of oscillation. To double the total energy, we need to increase A by a factor of sqrt(2) (since energy is directly proportional to the square of amplitude) and keep the angular frequency the same. Therefore, the correct choice is B which suggests increasing the amplitude by 11eb6adc_ee8e_13d5_b0cf_a726a3b3edc5_TB8245_11.

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