answer A vertical spring stretches 3.4 cm when a 8-g object is hung from it. The object is replaced with a block of mass 26 g that oscillates in simple harmonic motion. Calculate the period of motion.

0.695s

Explanation:

From Hooke's law, the restoring force is given has

F = - ky ... 1

Where F is the force, y is the spring displacement and k force constant of the spring.

Also recall,

F=mg ... 2

Where m is the mass of object, g is the acceleration due to gravity.

Equating 1 and 2

Ky = mg

Given that g=9.8m/s2, y is 3.4cm and g is 8g

K*3.4/100m = 8/1000kg * 9.8m/s2

K = (0.008kg * 9.8m/s2) : 0.034

K = 0.0784:0.035

K=2.24N/m

Mass ofvthe second object is 25g = 0.025kg

Period of oscillation T

T=2π√m/k

T=2*3.142√0.025/2.24

T=6.284√0.0111

T=0.659seconds