10) What was the change in the translational kinetic energy of the point particl

Question

10) What was the change in the translational kinetic energy of the point particle system?
?Ktrans = joules
11) What is the final translational kinetic energy of the point particle system?
Ktrans = joules
12) What is the mass of the point particle system?
m = kg
13) What is the final speed of the point particle system?
vcm,final = m/s

REAL SYSTEM
14) The force was applied to a location on the right hand edge of block 2. Look carefully at the diagrams. In the real system, what was the distance through which the point of application of the force moved?
distance= m

15) How much work was done on the real system?
W = joules
16) Check all the forms of energy that change in the real system during this process (assume that the vibrating spring doesn't get hot):

17) What is the change in energy of the real system?
?(Ktot + U) = joules
18) What is (Ktot + U)final for the real system?
(Ktot + U)final = joules
19) What is the final translational kinetic energy of the real system?
Ktrans,final = joules

20) What is the final speed of the center of mass of the real system?
vcm,final = m/s
21) 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) initail cm = x1/2=0.03

2)final cm = x2+x3/2=0.06

3)diff of above gives displacement of cm = 0.03

4)same as 1

5)same as 2

6)same as 3

7)in point particle system the force acts at centre of mass.so displacement of point of application of force = displacement of cm ie same as 3.

8)work done = F* displacement of cm =0.3J

9)point particle system can have only translational kinetiic energy.no rotational,vibrational kinetic energy

10)change in translational kinetic energy of point particle system = work done by force = 0.3J

11)initial translational energy =0 so final translational energy = 0.3J

12)mass of point particle system = sum of masses = 0.3Kg

13)final speed of point particle system = sqrt(2*E/m) = sqrt(2)m/s

14) in the real system movement of point of application of force = x3-x1 = 0.04m.

15)work done on real system = work done on point particle sysem = 0.3J

16)translational kinetic energy,spring potential energy,vibrational potential energy.

17)change in total energy =work done = 0.3J

18)initial energy =0 so final energy = 0.3J

I think for est of the qsns spring const is to be given

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