Question

Block A in $\textbf{Fig. E8.24}$ has mass 1.00 kg, and block $B$ has mass 3.00 kg. The blocks are forced together, compressing a spring $S$ between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block $B$ acquires a speed of 1.20 m/s. (a) What is the final speed of block $A$? (b) How much potential energy was stored in the compressed spring?

          Block A in $\textbf{Fig. E8.24}$ has mass 1.00 kg, and block $B$ has mass 3.00 kg. The blocks are forced together, compressing a spring $S$ between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block $B$ acquires a speed of 1.20 m/s. (a) What is the final speed of block $A$? (b) How much potential energy was stored in the compressed spring?
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Block A in $\textbf{Fig. E8.24}$ has mass 1.00 kg, and block $B$ has mass 3.00 kg. The blocks are forced together, compressing a spring $S$ between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block $B$ acquires a speed of 1.20 m/s. (a) What is the final speed of block $A$? (b) How much potential energy was stored in the compressed spring?
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Block A has mass of 1.00 kg and block B has mass of 3.00 kg The blocks are forced together; compressing a spring S between them; the system is then released from rest on a level, frictionless surface. The spring which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B acquires a speed of 1.10 m/s MA 1.00 kg mB 3.00 kg a) Derive an equation for the conservation of energy for this example: (b) What is the final speed of block A? (c) Use your derived equation from (a) to calculate the potential energy stored in the compressed spring:

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Transcript

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00:01 What is the final speed of block a? so we want to conserve our momentum.
00:05 Our initial momentum is equal to our final momentum.
00:10 So we conserve mass of a, velocity of a final, plus mass b, velocity b final, equal to mass a, velocity a initial, plus mass b, velocity b initial.
00:23 Initially, both masses are at rest.
00:26 So we have this going to zero.
00:30 Velocity of a finally is negative mass of b, velocity b finally, divided by mass of a.
00:37 So we can plug in our negative 3 times 1 .20 divided by 1...
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