A block with mass m = 0.3 kg oscillates with amplitude A = 0.4 m at the end of a spring with force constant k = 6 N/m on a frictionless, horizontal surface. Rank the periods of the following oscillating systems from greatest to smallest. If any periods are equal, show their equality in your ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (a) The system is as described above. (b) The amplitude is changed to 1.6 m. (c) The mass is changed to 0.6 kg. (d) The spring now has a force constant of 18 N/m. (e) A small resistive force is added so the motion is underdampe

a) T = 1.405 s

b) Period not depends on the amplitude

c) T = 1.987 s

d) T = 0.811 s

e) The period will change by a small value

The rank are:

Tc > Ta = Tb > Te > Td

Explanation:

Given:

m = mass = 0.3 kg

A = amplitude = 0.4 m

k = force constant = 6 N/m

a) The time period is:

b) Period not depends on the amplitude

c) Same as a):

d) Same as a):

e) if a small resistive force is added the period will change by a small amount. The rank are:

Tc > Ta = Tb > Te > Td

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force