Asmall object is attached to the end of a relaxed, horizontal spring whose opposite end is fixed. the spring rests on a frictionless surface. let the initial position of the object be defined as x-0. the object is pulled to position x = a and then released, after which it undergoes simple harmonic motion.
in one full cycle of its motion, the total distance traveled by the object is:

1) a
2) a/2
3) 2a
4) 4a
5) a/4

4A

Explanation:

Given

Mass is displace x= A units from its mean position x=0'

When it is set to free it will oscillate about its mean position with maximum amplitude A i.e. from x=-A to x=A

One cycle is completed when block returns to its original position

so first block will go equilibrium position x=0 and then to x=-A

from x=-A it again moves back to x=0 and finally back to its starting position x=A

so it travels a distance of A+A+A+A=4A    

correct it is c.) b b

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.