Physics core problems

Problem 1 – Wave resonance amplitude#

A wave’s resonant amplitude is modeled as

$$ A = F_3 τ_r T_f. $$

If $$τ_r$$ increases by 10% and $$T_f$$ decreases by 5%, what is the net effect on $$A$$?

Problem 2 – Energy quantization#

Energy in a resonant system is modeled as

$$ E = D_9 ΛΘ. $$

If $$Λ$$ decreases by 20%, how does $$E$$ change?

Problem 3 – Acceleration drift#

Acceleration drift is modeled as

$$ a = \frac{T_f^2}{D_3}. $$

If $$T_f$$ increases by 10%, what is the percent change in $$a$$?