Hooke's law and spring combinations (MSLTT)

A 0.50 m spring with spring constant 100 N/m hangs from the ceiling. A 2.0 kg block is tied to the spring. How much does the spring stretch? (Use g = 10 m/s2 )

• 2.0m

• 0.70m

• 0.52m

• 0.20m

• 0.020m

A spring with length l and spring constant ks hangs from the ceiling. A mass m is placed on the spring and increases the length of the spring by x. By how much will a 2m mass stretch the spring from its original un-stretched state?

• The spring will stretch by 2x

• The spring will stretch by x

• The spring will stretch by 0.5x

• The spring will stretch by 2x + l

A single spring is stretched by x when a mass m is attached. An identical spring is joined in series to the first spring. How much will the two springs stretch when a mass m is attached? (Assume the springs have negligible mass)

• The spring will stretch by 2x since each spring stretches by x

• The spring will stretch by x since the spring constant remains the same

• The spring will stretch by 0.5x since there are 2 springs holding the mass

• There is not enough information to answer

Two identical springs (each with spring constant ks ) are connected in series as shown. What is the spring constant of the two springs together (kT )? (Assume the springs have negligible mass)

• kT = 2ks

• kT = ks

• kT = 0.5ks

• Cannot be determined

A single spring is stretched by x when a mass m is attached. An identical spring is joined in parallel to the first spring. How much will the two springs stretch when a mass m is attached to both springs simultaneously? (Assume the springs have negligible mass)

• The spring will stretch by 2x since each spring stretches by x

• The spring will stretch by x since the spring constant remains the same

• The spring will stretch by 0.5x since there are 2 springs holding the mass m

Which collection of springs has the largest spring constant?

• A

• B

• C

• D

• E