- #1
jmgXD6
- 17
- 0
1. When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.050m to 0.060m. The same block is attached to the same spring and placed on a horizontal, friction-less surface. The block is then pulled so that the spring stretches to a total length of 0.10m. The block is released at time t=0 s and undergoes simple harmonic motion.
0.20 kg
[_]-/\/\/\/\|
________spring
1. What is the maximum acceleration of the block?
2. What is the frequency of the motion?
3.What is the total mechanical energy of the system at any instant?F=mg=-k/x
a=(-k/m)x
ω=2∏/T
Emechanical energy=U+kFor acceleration it should be 98m/s because when the mass was hanging down the spring x=.010m and F=1.96 that would mean -k=196 then plugged into a=-k/m*x with .1 as x the answer should be 98m/s. I'm sure it's right, but let me know if I'm wrong. I'm having trouble though finding the other two answers, for frequency of motion I can't find time and for mechanical energy I can't find the equation for potential energy in a spring.
0.20 kg
[_]-/\/\/\/\|
________spring
1. What is the maximum acceleration of the block?
2. What is the frequency of the motion?
3.What is the total mechanical energy of the system at any instant?F=mg=-k/x
a=(-k/m)x
ω=2∏/T
Emechanical energy=U+kFor acceleration it should be 98m/s because when the mass was hanging down the spring x=.010m and F=1.96 that would mean -k=196 then plugged into a=-k/m*x with .1 as x the answer should be 98m/s. I'm sure it's right, but let me know if I'm wrong. I'm having trouble though finding the other two answers, for frequency of motion I can't find time and for mechanical energy I can't find the equation for potential energy in a spring.
Last edited: