Hooke's Law and Elastic Energy

A spring with k=73 N/m is compressed 70 cm.  An object of mass 4 kg is attached to one end of the compressed spring.  What is the acceleration of the object at the moment the spring is released?  

• .078 m/s/s
• 0.17 m/s/s
• 13 m/s/s
• 1.3 X 10^5 m/s/s

Tags

NGSS.HS-PS2-1

A spring has a spring constant of 330 N/m.  How far is the spring compressed if 150 N of force are used?

• 2.2 m
• 0.0014 m
• 5.0 m
• 0.45 m

A force of 470 N is applied to stretch a spring which has a spring constant, k=1100 N/m.  How much does the spring stretch past its free length?

• 0.214 m
• 2.34 m
• 0.427 m
• 5.17 X 10^5 m

What force should be applied to compress a spring by 0.013 m if its spring constant is k = 1900 N/m?

• 1880 N
• 24.7 N
• 1900 N
• 0.127 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 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.

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= 540 N/m?

• 0.96 m
• 0.93 M
• 1.3 m
• 1.1 m

A net force of 430 N acts to stretch an extension spring.  How far will the spring stretch if its spring constant is 700 N/m?

• 43.9
• 0.307 m
• 1.63 m
• 0.614 m

A 25,000 N Car is supported by 4 springs.  If each spring is deflected by 0.040 m what is the spring constant? 

• 160,000 N /m
• 620,000 N/m
• 630,000 N/m
• 120,000 N/m

Tags

NGSS.HS-PS2-1

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