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

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

¹/₂KA² = ¹/₂mV₀²

or,

b)

(remove the minus sign if only magnitude is needed)

c) Yes, because force is proportional to displacement

d)

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!!!