The force on the spring is F0 and it stores elastic potential energy PEs0. If the spring displacement is tripled to 3x0, determine the ratio of the new force to the original force, Fn F0 , and the ratio of the new to the original elastic potential energy, PEsn PEs0 .

Explanation:

Let initial extension in the spring= x₀

Force on the spring = F₀

Let spring constant = k

Fo = k x₀

Fn = 3k x₀

Fn /Fo = 3

PEs0 ( ORIGINAL)  =1/2 k x₀²

PEsn ( NEW)  =1/2 k (3x₀)²

PEsn / PEs0 = 9

newton's first law of motion

the part of the wave he is travelling on is the crest