ALL NUMBERS ALREADY IN (WITH THE FUNNY MARKS AFTER) ARE CORRECT, IT IS ONLY THE

Question

ALL NUMBERS ALREADY IN (WITH THE FUNNY MARKS AFTER) ARE CORRECT, IT IS ONLY THE ONES WITH BLANK SPACES

1) How much work was done on the real system?
W = joules

2) What is the change in energy of the real system?
?(Ktot + U) = joules

3) What is (Ktot + U)final for the real system?
(Ktot + U)final = joules

4) What is the final speed of the center of mass of the real system?
vcm,final = m/s

5) What is the final vibrational energy of the real system (spring potential energy plus kinetic energy relative to the center of mass)?
(U + Krel)final = joules

Explanation / Answer

1) W=Fd
W = 10*.8 = 0.64
2) Same as before = 0.64
3) Ktrans = force*distance moved by center of mass
= 8*.7=0.56
4) v=(2Ktrans/m)^.5
v = (2*0.56/0.36)^.5
v = 1.76
5) U= .5kx^2
U = 0.5*89*0.02^2
U=0.0178
6) Kvib = W-U-Ktrans
Kvib = .64-0.0178-0.56
Kvib = 0.0622

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