A rope connect two masses, M₁ = 8 kg., and M₂ = 5 kg. They are initially held at the same height above the ground, h₁ = 1.5 m, with the left (larger) mass connected by a spring to the ground. When the masses are released, M₁ goes down .25 m, and M₂ goes up .25 m. The spring is initially uncompressed. Both masses are initially and finally at rest. The objective of this problem is to find the value of k for this spring using conservation of energy. M₁ h₁ = 1.5m M₁: PEgi a. What are the values of the initial potential energies of each mass and the spring? Get numbers for each of these. M₂ PEgi Spring PEspi PE₁: KE₁ M₂ E₁ = b. What are the TOTAL PE,, KE₁, and E₁? Get numbers for each of these. Joules Joules Joules Joules Joules Joules M₁ h₁ = 1.25 m M₂ h₂f = 1.75 m

Physics for Scientists and Engineers: Foundations and Connections
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Chapter39: Relativity
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2. A rope connect two masses, M₁ = 8 kg., and M₂ = 5 kg. They are initially held at the same height
above the ground, h₁ = 1.5 m, with the left (larger) mass connected by a spring to the ground.
When the masses are released, M₁ goes down .25 m, and M₂ goes up .25 m.
The spring is initially uncompressed. Both masses are initially and finally at rest.
The objective of this problem is to find the value of k for this spring using conservation of energy.
M₁
h₁: = 1.5m
M₁: PEgi
a. What are the values of the initial potential energies of each mass and the spring?
Get numbers for each of these.
M₂: PEg₁ =
Spring PEspi
PE₁ =
M₂
KE₁ =
E₁ =
b. What are the TOTAL PE₁, KE,, and E₁?
Get numbers for each of these.
Joules
Joules
Joules
Joules
Joules
Joules
M₁
h₁f = 1.25 m
M₂
h₂f
= 1.75 m
Transcribed Image Text:2. A rope connect two masses, M₁ = 8 kg., and M₂ = 5 kg. They are initially held at the same height above the ground, h₁ = 1.5 m, with the left (larger) mass connected by a spring to the ground. When the masses are released, M₁ goes down .25 m, and M₂ goes up .25 m. The spring is initially uncompressed. Both masses are initially and finally at rest. The objective of this problem is to find the value of k for this spring using conservation of energy. M₁ h₁: = 1.5m M₁: PEgi a. What are the values of the initial potential energies of each mass and the spring? Get numbers for each of these. M₂: PEg₁ = Spring PEspi PE₁ = M₂ KE₁ = E₁ = b. What are the TOTAL PE₁, KE,, and E₁? Get numbers for each of these. Joules Joules Joules Joules Joules Joules M₁ h₁f = 1.25 m M₂ h₂f = 1.75 m
c. What are the values of the final potential energies of each mass and the spring?
M₁ PEg=
M₂: PEgr
Spring: PEspi
PE=
d. What are the TOTAL PE, KE, and Er?
k=
KE₁ = =
E₁ =
NOTE: Some of these answers will also be in terms of k.
W₁1 =
Wg 25
Wsp
N/m
Wnet
e. Use conservation of energy to solve for k.
Joules
Joules
Joules
Joules
Joules
This answer will be in terms of k
f. Determine the work for each of the following. When calculating work, remember to consider to the
direction of the force and the direction of the displacement.
Joules
Joules
Joules
Joules
Transcribed Image Text:c. What are the values of the final potential energies of each mass and the spring? M₁ PEg= M₂: PEgr Spring: PEspi PE= d. What are the TOTAL PE, KE, and Er? k= KE₁ = = E₁ = NOTE: Some of these answers will also be in terms of k. W₁1 = Wg 25 Wsp N/m Wnet e. Use conservation of energy to solve for k. Joules Joules Joules Joules Joules This answer will be in terms of k f. Determine the work for each of the following. When calculating work, remember to consider to the direction of the force and the direction of the displacement. Joules Joules Joules Joules
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