2. i>Clicker Question
A. 110 J
B. 316 J
C. 0 J
D. 331 J
E. 158 J
A mass-spring oscillator is composed of a 3.oo kg block, and a
spring with a spring constant of 450 N/m. What is the total energy
of the system if the spring is stretched 70.0 cm and then released
from rest?
3. i>Clicker Question
A. 110 J
B. 316 J
C. 0 J
D. 331 J
E. 158 J
A mass-spring oscillator is composed of a 3.oo kg block, and a
spring with a spring constant of 450 N/m. What is the total energy
of the system if the spring is stretched 70.0 cm and then released
from rest?
5. We know total energy follows the equation:
E = U + K
Solution
Where:
E Total Energy
U Potential Energy
K Kinetic Energy
6. In our case:
U = ½ kx2 = ½ (450 N/m)(0.700 m)2 = 110.25 J
k is the Spring Constant, and x is our displacement at t=0
K = ½ mv2 = ½ (3.00 kg)(0 m/s)2 = 0 J
Velocity is zero because at t=0 our spring is at rest.
Solution
Therefore: E = 0 J + 110.25 J = 110.25 J = 110 J
