SHM and Energy

A mass-spring system is set into simple harmonic motion. Which graph shows the variation of the acceleration, a, of the mass with its displacement, x? 

• A
• B
• C
• D

An object oscillating in simple harmonic motion has a time period T. The first graph shows how its displacement varies with time. Which of the subsequent graphs, A to D, show how the kinetic energy, Ek, of the object varies with time? 

• A
• B
• C
• D

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

Which graph, A to D, shows the variation of the kinetic energy, E_k, with displacement x for a particle performing simple harmonic motion? 

• A
• B
• C
• D

The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled? 

• the time period  
• the total energy
•  the maximum velocity 
• the maximum acceleration

A mass is hung from a spring and set into vertical oscillation.
Which row in the table correctly shows the kinetic energy E_k of the mass at maximum displacement and the potential energy E_p of the mass at the equilibrium position?

• A
• B
• C
• D

When the mass reaches point x = +A its instantaneous velocity is?

• Maximum and positive

• Maximum and negative

• Zero

• Less than maximum and positive

When the mass reaches point x = +A its acceleration is?

• Maximum and positive

• Maximum and negative

• Zero

• Slightly less than maximum and positive

At which point does this pendulum have the most kinetic energy?

• A

• B

• O

• A and B

• Same speed at all points

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

At which point does this pendulum have the most potential energy?

• A

• B

• O

• A and B

• Same speed at all points

What Quantity can you calculate from the graph and give the magnitude of that quantity.  

• distance 4.5 m
• Force 15 N
• spring constant 20 N/m
• spring constant 200 N/m

Tags

NGSS.HS-PS2-1