Hooke's Law and Elastic Potential Energy

If F is force, k is spring constant and x is extension, Hooke's Law tells us that:

• F=k/x
• x=Fk
• k=Fx
• F=kx

Tags

CCSS.8.EE.C.7B

Hooke's Law fails when a material reaches its:

• breakdown
• elastic limit
• end of tether
• fracture stress

A stiff material has a:

• high spring constant
• low spring constant
• spring constant of any value
• spring constant which is difficult to predict

A spring extends 1.5m under load 10N. What is its spring constant?

• 0.15N/m
• 10N/m
• 6.7N/m
• 15N/m

Tags

CCSS.8.EE.C.7B

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

A 5-newton force causes a spring to stretch 0.2 metre. What is the potential energy stored in the stretched spring?

• 1 J

• 0.5 J

• 0.2 J

• 0.1 J

At point P, _______.

• the force applied to the spring is equal to its elongation

• Hooke's Law ceases to be valid

• the spring is can be stretched but still springs back into shape reversibly

• the spring constant increases

Which quantity can be determined from this graph?

• the net force is 4N

• the spring is 0.4m long

• the stored potential energy in this spring is 1.6 J

• the spring constant is 10 N/m

Which of the following is a true statement regarding springs?

• The higher the value of the spring constant, the stiffer the spring.  
• In Hooke's law, the force exerted by the spring acts in the same direction as displacement.  
• Springs are designed to provide unpredictable variations in force.  
• The force exerted by a spring has a quadratic relationship with the displacement form equilibrium.  

Which of the following springs is the stiffest?

• A spring that requires a froce of 2000 N to compress it by 6.8 m.
• A spring that requires a force of 4000 N to stretch it by 9.0 m. 
• A spring that requires a force of 8000 N to compress it by 45 m.  
• A spring that requires a force of 4800 N to stretch it by 14 m.