Suggested languages for you:

Americas

Europe

Q10OQ

Expert-verifiedFound in: Page 472

Book edition
9th Edition

Author(s)
Raymond A. Serway, John W. Jewett

Pages
1624 pages

ISBN
9781133947271

**A mass spring system moves with simple harmonic motion along the x axis between turning points at** ${{x}}_{{1}}{=}{50}{}{\text{cm}}$**, and** ${{x}}_{{2}}{=}{60}{}{\text{cm}}$**. For parts (i) through (iii), choose from the same five possibilities. (i) At which position does the particle have the greatest magnitude of momentum? (a) 20 cm (b) 30 cm (c) 40 cm (d) some other position (e) The greatest value occurs at multiple points. (ii) At which position does the particle have greatest kinetic energy? (iii) At which position does the particle-spring system have the greatest total energy?**

** **

- Option (c) is correct.
- Option (c) is correct.
- Option (e) is correct.

When an object undergoes simple harmonic motion, the position as a function of time may be written as

$x=A\mathrm{cos}\left(\omega t\right)$

$A=$Amplitude

$\omega =$Angular frequency

$x=$Position of object

At 40 cm we have the midpoint between the turning points, so it is the equilibrium position and the point of maximum speed, and therefore, maximum momentum. Option (c) is correct.

The position of maximum speed is also the position of maximum kinetic energy.

Option (c) is correct.

The total energy of the system is conserved, so it is the same at every position.

Option (e) is correct.

94% of StudySmarter users get better grades.

Sign up for free