Which pulse does more work on the spring?

[starnair03]

Homework Statement:

Two separate wave pulses are created at different times during the data collection. one pulse has an amplitude of A while the other has an amplitude of 2A. Which of the pulse does more work on the string? explain using relevant formulas.

Relevant Equations:

W = Fd

I thought work is 0 because force is applying perpendicular to the spring's moving direction. these pulses are transverse pulse since those have amplitude, and pulse is moving horizontal, which means applying force horizontally, but spring is moving vertical. So my conclusion is "because pulse is moving perpendicular to the spring moving, means pulse is applying force perpendicular to the spring, which is 0 work".

Is my conclusion correct? I have no one to check my answer because school season is ended..

 

[haruspex]

Problem Statement: Two separate wave pulses are created at different times during the data collection. one pulse has an amplitude of A while the other has an amplitude of 2A. Which of the pulse does more work on the string? explain using relevant formulas.
Relevant Equations: W = Fd

perpendicular to the spring

What spring? There is none mentioned in the problem statement. There is mention of string, but if that should be spring then it is unclear how this relates to the wave.
Please provide the entire statement, including any diagram.