11P05 Work, Energy and Power
Use the Hooke's law and Energy stored formula
to double check the simulation results.
What is same here between the springs, Force or Displacement?
Calculate the Effective Spring Constant K_eff.
How is it related to individual spring constants K1 and K2 ?
(Sol: Displacement is same, but Force is different for each spring.
F1=K1 x = 300(0.1)=30 N,
F2=K2 x = 400(0.1)=40 N,
F=F1+F2=30+40=70 N,
F=K_eff. x => 70=K_eff. 0.1 => K_eff.=700 N
K_eff.=K1+K2)
Springs in Series
What is same here between the springs, Force or Displacement?
Calculate the Effective Spring Constant K_eff.
How is it related to individual spring constants K1 and K2 ?
(Sol: F is same, but displacement is different for each spring.
F=K1 x1 => 35 = 300 x1 => x1=35/300 N,
F=K1 x1 => 35 = 400 x2 => x2=35/400 N,
x=x1+x2=0.35(1/3+1/4)=0.2
x=x1+x2
F/K_eff. = F/K1 + F/K2
1/K_eff.=1/K1+1/K2)
Elastic Collisions of two balls 1D,
To study special cases as 1) both equal mass, 2) 2nd mass huge or the 1st mass huge, 3) 2nd ball stationary initially etc.
Momentum and Kinetic Energy both conserved for elastic collisions.
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