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5/3/2017
Elastic Potential Energy
1. An ideal spring has a spring constant of 15 N/m. The spring is stretched 6 cm.
What is the potential energy of the spring?
2. What is the potential energy of a spring if the spring constant is 25.0 N/m and it is
compressed to .5 m past its resting position?
3. A 250. g mass is placed on the spring in #2. Assuming the spring is pointed
straight up, to what height could the spring propel the object?
4. A spring scale is calibrated from zero to 20. N. The calibrations extend over a
length of 0.10 m. (a) What is the elastic potential energy of the spring in the scale
when a weight of 5.0 N hangs from it? (b) What is the elastic potential energy
when the spring is fully stretched?
5. The force constant of a spring is 150. N/m. (a) how much force is required to
stretch the spring 0.25 m? (b) how much work is done on the spring in that case?
6. A 1.00 kg mass is placed at the free end of a compressed spring. The force
constant of the spring is 115 N/m. The spring has been compressed 0.200 m from
it neutral position. It is now released. Neglecting the mass of the spring and
assuming that the mass is sliding on a frictionless surface, how fast will the mass
move as it passes the neutral position of the spring?
7. A 5.0 g pellet is placed in the barrel of a toy gun and is propelled by a spring of
force constant 50. N/m. The spring is compressed 20. cm and then released.
Calculate the maximum velocity of the pellet when shot horizontally.
8. A linear elastic spring can be compressed 10.0 cm by an applied force of 5.0 N.
A 4.5 kg crate of apples, moving horizontally at 2.0 m/s collides with the spring.
What will be the maximum compression of the spring?
9. Observe the diagram below. A spring with a spring constant of 150.0 N/m is
compressed 0.100 m by an object with a mass of 25.0 kg. The surface between
under the object is smooth until it reaches the equilibrium point of the spring. To
the right of the equilibrium point, the coefficient of friction is 0.3. How far past
the equilibrium point will the object slide?