What is the potential energy of the two-spring system after the point of connection has been moved to position (x, y)? keep in mind that the unstretched length of each spring ℓ is much less than l and can be ignored (i. e., ℓ≪l). express the potential in terms of k, x, y, and l?

P.E=1/2k((-L – x)^2 + (L – x)^2 + 2(-y)^2)

Explanation:

What is the potential energy of the two-spring system after the point of connection has been moved to position (x, y)? keep in mind that the unstretched length of each spring ℓ is much less than l and can be ignored (i.e., ℓ≪l). express the potential in terms of k, x, y, and l?

potential energy is equal to the kinetic energy

potential energy is energy at rest while kinetic energy is energy due to motion

P=U

P=1/2k((-L – x)^2 + (L – x)^2 + 2(-y)^2)

k=elastic constant of the pring system

x,y are the position

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz

prolly a beacuse the momentuem the car has increases while going down hill