When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion.
-Which one of the following expressions gives the displacement of the block as a function of time? Let x be in cm and t in seconds.
A)x = 15 cos(14$\pi$t)
B)x = 15 sin(14$\pi$t)
C)x = 7 cos(15$\pi$t)
D)x = 14 sin(15$\pi$t)
E)x = 44 cos(14$\pi$t)

Question

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion. 
-Which one of the following expressions gives the displacement of the block as a function of time? Let x be in cm and t in seconds.
A)x = 15 cos(14$\pi$t) 
B)x = 15 sin(14$\pi$t) 
C)x = 7 cos(15$\pi$t) 
D)x = 14 sin(15$\pi$t) 
E)x = 44 cos(14$\pi$t)

Quizplus · Accepted Answer

The expression x = 15 cos(14πt) represents a simple harmonic motion where the amplitude is 15 cm and the angular frequency is 14π rad/s.

When a 020-Kg Block Is Suspended from a Vertically Hanging Spring, It