Date | May 2012 | Marks available | 1 | Reference code | 12M.1.SL.TZ2.13 |
Level | Standard level | Paper | Paper 1 | Time zone | Time zone 2 |
Command term | Question number | 13 | Adapted from | N/A |
Question
A particle is undergoing simple harmonic motion (SHM) in a horizontal plane. The total mechanical energy of the system is E. Which of the following correctly gives the kinetic energy of the particle at the positions of maximum displacement and equilibrium?
Markscheme
B
Examiners report
Syllabus sections
Show 67 related questions
- 17N.2.HL.TZ0.2f.ii: Describe the energy changes in the satellite Y-cable system during one cycle of the oscillation.
- 17N.2.HL.TZ0.2f.i: Estimate the value of k in the following expression. T = \(2\pi \sqrt {\frac{m}{k}} \) Give...
- 17N.1.HL.TZ0.27: A spring loaded with mass m oscillates with simple harmonic motion. The amplitude of...
- 17M.2.HL.TZ2.2b.ii: Sketch a graph to show the variation with time of the generator output power. Label the time...
- 17M.2.HL.TZ2.2b.i: A wave of amplitude 4.3 m and wavelength 35 m, moves with a speed of 3.4 m s–1. Calculate the...
- 17M.2.HL.TZ1.7d: A second identical spring is placed in parallel and the experiment in (b) is repeated....
- 17M.2.HL.TZ1.7c: In carrying out the experiment the student displaced the block horizontally by 4.8 cm from...
- 17M.2.HL.TZ1.7b: Calculate the mass of the wooden block.
- 17M.2.HL.TZ1.7a: Describe the conditions required for an object to perform simple harmonic motion (SHM).
- 17M.1.HL.TZ2.26: A mass oscillates with simple harmonic motion (SHM) of amplitude xo. Its total energy is 16...
- 17M.1.HL.TZ1.26: A pendulum oscillating near the surface of the Earth swings with a time period T. What is the...
- 16M.2.HL.TZ0.4c: One particle in the medium has its equilibrium position at x=1.00 m. (i) State and explain...
- 16N.1.HL.TZ0.26: A particle is oscillating with simple harmonic motion (shm) of amplitude x0 and maximum...
- 16M.1.HL.TZ0.35: Which of the following...
- 16M.1.HL.TZ0.24: A simple pendulum has mass M and length l. The period of oscillation of the pendulum is...
- 16M.1.HL.TZ0.21: A mass is connected to a spring on a frictionless horizontal surface as...
- 15M.1.SL.TZ2.12: The bob of a pendulum has an initial displacement \(x\)0 to the right. The bob is released...
- 15M.2.SL.TZ1.5d: D has mass 6.5 \( \times \) 10−3 kg and vibrates with amplitude 0.85 mm. (i) Calculate the...
- 15M.2.SL.TZ2.5a: Show that \({\omega ^2} = \frac{k}{m}\).
- 15M.2.SL.TZ2.5b: One cycle of the variation of displacement with time is shown for two separate mass–spring...
- 15M.2.SL.TZ2.5c: The graph shows the variation of the potential energy of A with displacement. On the...
- 14M.1.SL.TZ1.19: A small point mass m is placed at the same distance from two identical fixed spherical masses...
- 14M.1.SL.TZ2.13: A particle P executes simple harmonic motion (SHM) about its equilibrium position Y. The...
- 14M.1.SL.TZ2.14: A particle executes simple harmonic motion (SHM) with period T. Which sketch graph correctly...
- 15N.1.SL.TZ0.13: A particle of mass \(m\) oscillates with simple harmonic motion (SHM) of angular frequency...
- 15N.2.SL.TZ0.3b: X has a mass of 0.28 kg. Calculate the maximum force acting on X.
- 15N.2.SL.TZ0.3c: Determine the maximum displacement of X. Give your answer to an appropriate number of...
- 15N.1.SL.TZ0.12: The period of a particle undergoing simple harmonic motion (SHM) is \(T\). The ratio...
- 14N.1.SL.TZ0.15: A particle undergoes simple harmonic motion (SHM) of maximum kinetic energy Emax and...
- 14N.1.HL.TZ0.10: A body moves with simple harmonic motion (SHM) with period T and total energy ET. What is the...
- 14N.2.SL.TZ0.5a.i: Determine the acceleration of the mass at the moment of release.
- 14N.2.SL.TZ0.5a.ii: Outline why the mass subsequently performs simple harmonic motion (SHM).
- 14N.2.SL.TZ0.5b.i: Estimate the maximum kinetic energy of the ion.
- 14N.2.SL.TZ0.5a.iii: Calculate the period of oscillation of the mass.
- 14N.2.SL.TZ0.5b.ii: On the axes, draw a graph to show the variation with time of the kinetic energy of mass and...
- 14M.2.HL.TZ2.7c.i: The mass of the stylus is \(5.5 \times {10^{ - 4}}{\text{ kg}}\). Determine the maximum...
- 14M.2.SL.TZ2.5a: Explain why the graph shows that the stylus undergoes simple harmonic motion.
- 14M.2.SL.TZ2.5b: (i) Using the graph on page 14, show that the frequency of the note being played is about...
- 11N.1.SL.TZO.13: The equation for the velocity of an object performing simple harmonic motion is...
- 12N.1.SL.TZ0.15: An object undergoes simple harmonic motion. Which graph shows the relationship between the...
- 12N.1.HL.TZ0.13: An object undergoes simple harmonic motion. Which graph shows the relationship between the...
- 13M.2.SL.TZ1.6b: (i) Determine the maximum speed of the object. (ii) Determine the acceleration of the object...
- 13M.2.SL.TZ1.6c: The graph below shows how the displacement of the object varies with time. Sketch on the same...
- 12M.1.SL.TZ2.12: A particle undergoing simple harmonic motion (SHM) oscillates with time period T and angular...
- 12M.1.SL.TZ1.13: An object undergoes simple harmonic motion (SHM). The total energy of the object is...
- 12M.1.SL.TZ1.12: An object is undergoing simple harmonic motion (SHM) about a fixed point P. The magnitude of...
- 11M.1.SL.TZ2.15: Two waves meet at a point. The waves have a path difference of \(\frac{\lambda }{4}\). The...
- 11M.1.SL.TZ2.12: A particle oscillates with...
- 11M.1.HL.TZ2.14: Two waves meet...
- 13M.2.SL.TZ2.8b: The graph shows how the displacement x of the piston P in (a) from equilibrium varies with...
- 13M.1.SL.TZ2.12: Which graph shows how velocity v varies with displacement x of a system moving with simple...
- 13M.1.SL.TZ2.13: An object undergoes simple harmonic motion with time period T and amplitude 0.5 m. At time t...
- 12M.2.SL.TZ2.5a: One end of a light spring is attached to a rigid horizontal support. An object W of mass...
- 11M.2.SL.TZ2.4c: A wave is travelling along a string. The string can be modelled...
- 11M.2.SL.TZ2.4b: A liquid is contained in a U-tube. The pressure on the...
- 11M.2.HL.TZ2.13b: A liquid is contained in a...
- 12M.2.SL.TZ1.7d: (i) On the diagram below, draw lines to represent the gravitational field around the planet...
- 12M.2.SL.TZ1.6c: (i) On the axes below, sketch a graph to show how the velocity of the mass varies withtime...
- 12M.2.SL.TZ1.6d: The period of oscillation is 0.20s and the distance from A to B is 0.040m. Determine the...
- 12M.2.SL.TZ1.6b: (i) On the axes below, sketch a graph to show how the acceleration of the mass varies with...
- 11N.2.SL.TZ0.6c: Marker P undergoes simple harmonic motion. The amplitude of the wave is 1.7×10–2m and the...
- 12N.2.SL.TZ0.6d: The graph below shows the variation of the velocity v with time t for one oscillating...
- 11M.2.SL.TZ1.5a: For particle P, (i) state how graph 1 shows that its oscillations are not damped. (ii)...
- 09M.1.SL.TZ1.13: A mass on the end of a horizontal spring is displaced from its equilibrium position by a...
- 10N.1.SL.TZ0.13: Which of the following is the correct expression for the maximum acceleration of the...
- 10N.1.SL.TZ0.12: Which of the following is the correct expression for the displacement \(x\)? A. ...
- 10N.2.SL.TZ0.B1Part1.c: (i) Show that the speed of the pendulum bob at the midpoint of the oscillation is...