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Today i will show to you how to solve this kind of exercises “Suppose you have a mass m attached to a spring with constant k (N/m)”. Let’s follow each step carefully to know how to do and understand the way to solve this work in the most through way.

## Questions

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5. Suppose you have a mass m attached to a spring with constant k (N/m). The mass rests on a horizontal frictionless surface. Its equilibrium position is at x=0. It is pulled aside a distance A and released.

- a) What is its speed as it passes the position x=0?
- b) What is the net force on the mass at position x=A?
- c) Do you expect the mass to have SHM?
- d) What is its speed when x = A/4?

## Answer

a) From energy conservation,

E_{i} = E_{f}

^{1}/_{2}KA^{2} = ^{1}/_{2}mV_{0}^{2}

or,

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b)

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(remove the minus sign if only magnitude is needed)

c) Yes, because force is proportional to displacement

d)

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## Relevant knowledge

**Concept used**: Energy conservation and concepts simple harmonic motion were used to solve this problem.

## Conclusion

That is how you can solve this kind of exercises like “Suppose you have a mass m attached to a spring with constant k (N/m)”. Please leave a message below if you have any questions or comments.

Thanks for reading!!!

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