Springs Quiz Honors

A spring has an unstretched length of 0.40 meter. The spring is stretched to a length of 0.60 meter when a 10.-newton weight is hung motionless from one end. The spring constant of this spring is

• 10. N/m

• 17 N/m

• 25 N/m

• 50. N/m

A compressed spring in a toy is used to launch a 5.00-gram ball. If the ball leaves the toy with an initial horizontal speed of 5.00 meters per second, the minimum amount of potential energy stored in the compressed spring was (hint - conservation of energy)

• 0.0125 J

• 0.0250 J

• 0.0625 J

• 0.125 J

A spring gains 2.34 joules of elastic potential energy as it is compressed 0.250 meter from its equilibrium position. What is the spring constant of this spring?

• 9.36 N/m

• 18.7 N/m

• 37.4 N/m

• 74.9 N/m

The potential energy stored in a compressed spring is to the change in the spring’s length as the kinetic energy of a moving body is to the body’s

• speed

• mass

• radius

• acceleration

A vertical spring 0.100 meter long is elongated to a length of 0.119 meter when a 1.00-kilogram mass is attached to the bottom of the spring. The spring constant of this spring is

• 9.8 N/m

• 82 N/m

• 98 N/m

• 520 N/m

The graph represents the relationship between the force applied to each of two springs, A and B, and their elongations. What physical quantity is represented by the slope of each line?

• the spring constant

• the potential energy of the spring

• the period of the spring

• the maximum elongation of the spring

Which graph best represents the elastic potential energy stored in a spring (PE_s) as a function of its elongation, x?

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• 
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Spring A has a spring constant of 140 newtons per meter, and spring B has a spring constant of 280 newtons per meter. Both springs are stretched the same distance. Compared to the potential energy stored in spring A, the potential energy stored in spring B is

• the same

• twice as great

• half as great

• four times as great

A mass, M, is hung from a spring and reaches equilib-

rium at position B. The mass is then raised to position A and released. The mass oscillates between positions A

and C. [Neglect friction.] Where is the maximum KE?

• A

• B

• C

The graph below represents the relationship between

the force applied to a spring and spring elongation for

four different springs. Which spring has the smallest spring constant?

• A

• B

• C

• D