Hooke's Law and Simple Harmonic Motion (AKA Springs)

An ideal spring with a constant of 200 N/m is acted upon by a 500 N force directed in the positive direction.  What is the magnitude and direction of the displacement?

• 0.4 m
• -0.4 m
• 1.5 m
• -1.5 m

Tags

NGSS.HS-PS2-1

A force of 200 N causes a displacement with a magnitude of 0.5 m.  What is the constant of the spring?

• 100 N/m
• 200 N/m
• 400 N/m
• 800 N/m

Tags

CCSS.8.EE.C.7B

This spring has a constant of 80 N/m.  What is the magnitude of the force being applied?  The dotted green line represents the spring's equilibrium position and the green vector is displacement.

• 20 N
• 80 N
• 160 N
• 320 N

Tags

NGSS.HS-PS2-1

In the equation for Hooke's Law, what does the minus sign indicate?

• It indicates that the restoring force acts in the same direction as the displacement.
• It indicates that the restoring force acts in the opposite direction as the displacement.
• Mechanical energy in the system decreases as the oscillations increase.
• That when displacement is in the positive direction, energy will be negative.

A cylinder hangs motionless 40 cm below its equilibrium position from a spring with a constant of 50 N/m.  What is the mass of the cylinder?

• .8 kg
• 1.25 kg
• 2 kg
• 6 kg

Tags

NGSS.HS-PS2-1

A cylinder with a mass of m and a constant of k oscillates in simple harmonic motion from an ideal spring.  If the mass of the cylinder is quadrupled, the Period would...

• Double
• Quadruple
• Be increased by 16 times
• Remain unchanged

Tags

CCSS.8.EE.A.2

A cylinder with a mass of m and a constant of k oscillates in simple harmonic motion from an ideal spring.  If the constant of the spring is quadrupled, the Period would...

• Double
• Quadruple
• Be increased by 16 times
• Be cut in half

Tags

CCSS.8.EE.A.2

Which position shows the spring with maximum gravitational potential energy?

• A
• B
• C
• D

Tags

NGSS.HS-PS2-4

A stiff ideal spring has a:

• high spring constant
• low spring constant
• a varying spring constant depending on displacement
• spring constant which is difficult to predict

The Nerf NStrike Elite XD fires a 50 gram dart at 20 m/s (usually at a younger sibling).  It does this by first compressing a spring by 10cm, then quickly releasing it.  What is the spring constant of the spring? (Assume the toy is frictionless)

• 0.2 N/m
• 0.1 N/m
• 10 N/m
• 20 N/m

Tags

NGSS.HS-PS2-1