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AVprozaik [17]
3 years ago
6

A block of mass 0.260 kg is placed on top of a light, vertical spring of force constant 5 200 N/m and pushed downward so that th

e spring is compressed by 0.090 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise
Physics
1 answer:
abruzzese [7]3 years ago
4 0

After being released, the restoring force exerted by the spring performs

1/2 (5200 N/m) (0.090 m)² = 12.06 J

of work on the block. At the same time, the block's weight performs

- (0.260 kg) <em>g</em> (0.090 m) ≈ -0.229 J

of work. Then the total work done on the block is about

<em>W</em> ≈ 11.83 J

The block accelerates to a speed <em>v</em> such that, by the work-energy theorem,

<em>W</em> = ∆<em>K</em>   ==>   11.83 J = 1/2 (0.260 kg) <em>v</em> ²   ==>   <em>v</em> ≈ 9.54 m/s

Past the equilibrium point, the spring no longer exerts a force on the block, and the only force acting on it is due to its weight, hence it has a downward acceleration of magnitude <em>g</em>. At its highest point, the block has zero velocity, so that

0² - <em>v</em> ² = -2<em>gy</em>

where <em>y</em> is the maximum height. Solving for <em>y</em> gives

<em>y</em> = <em>v</em> ²/(2<em>g</em>) ≈ 4.64 m

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Answer:

Initial state    Final state

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Explanation:

For this exercise we must use Bohr's atomic model

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where is the value of 13.606 eV is the energy of the ground state and n is the integer.

The energy acquired by the electron in units of electron volt (eV)

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          E = 12.5 eV

all this energy is used to transfer an electron from the ground state to an excited state

        ΔE = 13.6060 (1 / n₀² - 1 / n²)

the ground state has n₀ = 1

       ΔE = 13.606 (1 -  1/n²)

        1 /n² = 1 - ΔE/13,606

         1 / n² = 1 - 12.5 / 13.606

         1 / n² = 0.08129

          n = √(1 / 0.08129)

          n = 3.5

 since n is an integer, maximun is

         n = 3

because it cannot give more energy than the electron has

From this level there can be transition to reach the base state.

 

Initial state    Final state

     3           ⇒        2

     3           ⇒        1

     2          ⇒         1

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2 years ago
What was done to test if Comets are responsible for 1/2 the Earth's water?
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✯Hello✯

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3 years ago
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2 years ago
A coin 15.0 mm in diameter is placed 15.0 cm from a spherical mirror. The coin's image is 5.0 mm in diameter and is erect. Is th
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Answer:

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d_{i} = distance of the image of coin from mirror = ?

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5 0
2 years ago
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