1.4.5 Hooke's Law

A spring has a spring constant of 450 N/m. How far is the spring compressed if 150 N of force are used?

• 2.2 m

• 3m

• 5.0 m

• 0.3 m

A force of 400 N is applied to stretch a spring which has a spring constant, k=100 N/m. How much does the spring stretch past its free length?

• 0.4 m

• 2.34 m

• 4 m

• 5.17 m

What force should be applied to compress a spring by 0.5m if its spring constant is k = 1500 N/m?

• 1880 N

• 750 N

• 1500 N

• 3000 N

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 force of 2000 N to compress it by 5 m.

• A spring that requires a force of 4000 N to stretch it by 10.0 m.

• A spring that requires a force of 2400 N to compress it by 4m.

• A spring that requires a force of 4800 N to stretch it by 12 m.

A force of F=500 N is applied to extend a spring. What is the displacement x of the spring if its spring constant is k= 500 N/m?

• 0.1 m

• 1 m

• 1000 m

• 100m

A net force of 1400 N acts to stretch an extension spring. How far will the spring stretch if its spring constant is 700 N/m?

• 1.0

• 0.5m

• 1.5 m

• 2.0 m

A 24,000 N Car is supported by 4 springs. If each spring is deflected by 0.5 m what is the spring constant?

• 12,000 N /m

• 48,000 N/m

• 630,000 N/m

• 120,000 N/m

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

A spring with a spring constant of k is cut into 4 equal length pieces.  What is the spring constant of each of the pieces?

• 1/2 K
• 2 K
• 1/4K
• 4K