Assume that a mass of m pounds on the end of a spring is oscillating in simple harmonic motion. What will be the effect on the period of the motion if the mass is increased to 25 m ?
A)The new period will be the same as the original period.
B)The new period will be 24 larger than the original period.
C)The new period is 25 times the original period.
D)The new period is 5 times the original period.
E)The new period will be 10 times larger than the original period.

Question

Quizplus · Accepted Answer

The period of a mass-spring system is given by T=2π√(m/k), where m is the mass and k is the spring constant. If the mass is increased to 25m, then the period becomes T=2π√(25m/k)=2π(5)√(m/k). This means the period has increased by a factor of 5, so the new period is 5 times the original period. Therefore, the correct choice is D.

Assume That a Mass of M Pounds on the End