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IrinaVladis [17]
2 years ago
4

Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is

a minimum angular velocity ωmin you must maintain if you want the ball to complete the full circle without the string going slack at the top.(1) find an expression for the minimum angular velocity using only the terms (g) and (L).(2) evaluate the angular velocity in rpm for a 65 g ball tied to a 2.0-m-long string.
Physics
1 answer:
Arlecino [84]2 years ago
4 0

Answer:

w = 21.1 rpm

Explanation:

1) Let's use Newton's second law n for the top of the circle. In that case, when the speed is the same, the only force that is current is the body mass.

          W = m a

Where the acceleration is centripetal

          a = w² r

          mg = m w2 r

          w² = g / r

          w = √ (g / r)

          r = L

          w = √ (g / L)

2) The angular velocity for 2.0 m rope

          w = RA (9.8 / 2.0)

          w = 2.21 rad / s

We reduce rad / s to rpm

          w = 2.21 rad / s (1 rev / 2pi rad) (60s / 1 min)

         w = 21.1 rpm

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kakasveta [241]
The first law of thermodynamics says that the variation of internal energy of a system is given by:
\Delta U = Q + W
where Q is the heat delivered by the system, while W is the work done on the system.

We must be careful with the signs here. The sign convention generally used is:
Q positive = Q absorbed by the system
Q negative = Q delivered by the system
W positive = W done on the system
W negative = W done by the system

So, in our problem, the heat is negative because it is releaed by the system: 
Q=-1275 J
while the work is positive because it is performed by the surrounding on the system:
W=+855 J

So, the variation of internal energy of the system is
\Delta U = -1275 J+855 J=-420 J
6 0
2 years ago
Have you ever chewed on a wintergreen mint in front of a mirror in the dark? If you have, you may have noticed some sparks of li
lutik1710 [3]

Answer:

Part a)

E = 3.66 eV

Part b)

\lambda = 508.5 nm

Explanation:

Part a)

change in the energy due to decay of photon is given as

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\nu = 8.88 \times 10^{14} Hz

now we have

E = (6.6 \times 10^{-34})(8.88 \times 10^{14})

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Part b)

While electron return to its ground state it will emit a photon of energy 2/3rd of the total energy

so we have

\Delta E = \frac{2}{3}(3.66 eV)

\Delta E = 2.44 eV

now to find the wavelength we have

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3 0
2 years ago
Two separate but nearby coils are mounted along the same axis. A power supply controls the flow of current in the first coil, an
gulaghasi [49]

Complete Question

The complete question is shown on the first uploaded image

Answer:

  The correct answer is option c

Explanation:

Faraday states that when there is a change in magnetic field of a coil of a wire, it means that there exist an emf in the circuit which in induced due to the change in the magnetic flux

From the question  two separate but nearby coils are mounted along the axis. First coil is connected to the power supply and the current flow is controlled by the supply.When the current alternates, it would produce magnetic field ,also the second coil is connected to an ammeter which indicates the current that is flowing in it when current in the first coil changes

This magnetic field that is produce would cause a change flux which would induce current in the second coil so the ammeter would indicate current flow in the second coil

a is incorrect because the current in fir coil is not change hence flux won't change therefore current is is not induced in second coil

This is the same reason b is incorrect

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6 0
2 years ago
An 80 kg skateboarder moving at 3 m/s pushes off with her back foot to move faster. If her velocity increases to 5 m/s, what is
Arturiano [62]
1) The kinetic energy of an object is given by:
K= \frac{1}{2}mv^2
where m is the object's mass and v its speed.

By using this equation, we find the initial kinetic energy of the skateboarder:
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So, her change in kinetic energy is
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2) The work-energy theorem states that the work done to increase the speed of an object is equal to the variation of kinetic energy of the object:
W=\Delta K
Therefore, the work done by the skateboarder is
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7 0
2 years ago
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Explain why the brakes of a car get much hotter than the brakes of a bicycle?
ValentinkaMS [17]

Answer: Car brakes produces more energy then the bicycle because the cars wheels produces a much bigger force that makes the car go and to stop that force the car uses greater amount of energy that transfers to heat  but in a bicycle the wheels do not turn that fast so when you press the break there is less energy that transfer to heat.

Explanation:

8 0
2 years ago
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