a mass is connected to a spring and is hanging down at rest as shown in the figu

Question

a mass is connected to a spring and is hanging down at rest as shown in the figure at the right. the dotted line indicated where the spring would rest if no mass were connected to it. for the period of time we are considering(2.5s) internal damping of the spring and air resistance can be ignored. we consider two cases.
a- we pull the mass down by 10cm and release it from rest
b- we pull the mass down by 30cm and release it from rest

a) label the two graphs of y position below, one as A and one as B
b) use the eight graphs below to complete the table. the units in the graphs are in joules . if no graph is correct, enter 9.

Explanation / Answer

Since they are pulled down and released from the rest position

Gravitational potential   

Case A: 5

Case B: 6

Elastic potential:

Case A: 1

Case B: 8

In case B spring no compression will be done.

KInetic energy:

Case A: 3

Case B: 4

Total energy:

Case A: 7

Case B: 2

The total energy is more in case B as the spring is extended more and less gravitational potential is balanced by higher elastic potential energy.

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