1. A spring has a characteristic of k = 2.75N/m. It has an original length of 0.100 m. What is its potential energy of spring when it has a stretched length of 0.170 m?

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1. A spring has a characteristic of k = 2.75N/m. It has an original length of 0.100 m. What is
its potential energy of spring when it has a stretched length of 0.170 m?
2. An object with a mass of 2 kg moves under the spring force with a spring constant of k =
5.65N/m. At one point in time, the object's speed is 4.75 m/s when the spring's
displacement from equilibrium is 1.557 m. What is the object's speed at a later time when
the spring's displacement from equilibrium is 0.857 m?
3. A spring has a characteristic of k=7.50N/m. If the spring's displacement is 0.550m from
its equilibrium position, what is the force that the spring exerts? Assume g= 9.80m/s2.
4. A spring has a value of k=8.25N/m and is displaced from its original position by a
distance of 0.150 m. What is the spring's potential energy?
5. A spring with spring constant k=12.5N/m is hung vertically. A mass of 0.500 kg is then
suspended from the spring. Determine the displacement of the spring's end due to the
weight of the 0.500 kg object.
6. An object with a mass of 0.400 kg is lifted by a vertical distance of 0.450m in the
gravitational field of the earth. Determine the change in the gravitational potential energy.
7. The spring constant k=8.75N/m is hanging vertically from a rigid support. The mass of
0.500 kg is put at the spring's end and supported by a hand at a point where the spring's
displacement is 0.250 m. Suddenly, the mass is released and allowed to fall. What is the
spring's displacement from its equilibrium at the lowest position of the mass?
Transcribed Image Text:1. A spring has a characteristic of k = 2.75N/m. It has an original length of 0.100 m. What is its potential energy of spring when it has a stretched length of 0.170 m? 2. An object with a mass of 2 kg moves under the spring force with a spring constant of k = 5.65N/m. At one point in time, the object's speed is 4.75 m/s when the spring's displacement from equilibrium is 1.557 m. What is the object's speed at a later time when the spring's displacement from equilibrium is 0.857 m? 3. A spring has a characteristic of k=7.50N/m. If the spring's displacement is 0.550m from its equilibrium position, what is the force that the spring exerts? Assume g= 9.80m/s2. 4. A spring has a value of k=8.25N/m and is displaced from its original position by a distance of 0.150 m. What is the spring's potential energy? 5. A spring with spring constant k=12.5N/m is hung vertically. A mass of 0.500 kg is then suspended from the spring. Determine the displacement of the spring's end due to the weight of the 0.500 kg object. 6. An object with a mass of 0.400 kg is lifted by a vertical distance of 0.450m in the gravitational field of the earth. Determine the change in the gravitational potential energy. 7. The spring constant k=8.75N/m is hanging vertically from a rigid support. The mass of 0.500 kg is put at the spring's end and supported by a hand at a point where the spring's displacement is 0.250 m. Suddenly, the mass is released and allowed to fall. What is the spring's displacement from its equilibrium at the lowest position of the mass?
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