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Aleksandr [31]
3 years ago
13

An electric circuit consists of a variable resistor connected to a source of constant potential difference. If the resistance of

the resistor is doubled, then
Physics
1 answer:
yulyashka [42]3 years ago
5 0
Then nothing will happen
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(I'm not sure if this is the best answer so you might want to double-check online)

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Cart A is moving at 2 m/s and cart b is at rest. After a perfectly elastic collision (cart A is stationary after the collisions)
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Calculate the kinetic energy of a 2kg ball moving at 5m/s
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An object with a mass of 0. 25 kg is undergoing simple harmonic motion at the end of a vertical spring with a spring constant, k
skelet666 [1.2K]

Answer:

1) The amplitude of the motion is approximately 0.274 meters.

2) The total energy of the object at any point of its motion is 16.892 joules.

Explanation:

1) An object under simple harmonic motion is conservative, since there is no dissipative forces acting during motion (i.e. friction, air viscosity). The amplitude of the motion can be found easily by Principle of Energy Conservation by the fact that maximum elastic potential energy (U_{e}), in joules, is equal to maximum translational kinetic energy (K), in joules:

U_{e} = K

\frac{1}{2}\cdot k \cdot A^{2} = \frac{1}{2}\cdot m \cdot v^{2} (1)

Where:

k - Spring constant, in newtons per meter.

A - Amplitude, in meters.

m - Object mass, in kilograms.

v - Speed of the object at equilibrium, in meters per second.

If we know that k = 450\,\frac{N}{m}, m = 0.25\,kg and v = 0.3\,\frac{m}{s}, then the amplitude of the motion is:

\frac{1}{2}\cdot k \cdot A^{2} = \frac{1}{2}\cdot m \cdot v^{2}

k\cdot A^{2} = m\cdot v^{2}

A = v\cdot \sqrt{\frac{m}{k} }

A = \left(0.3\,\frac{m}{s} \right)\cdot \sqrt{\frac{0.25\,kg}{0.3\,\frac{m}{s} } }

A \approx 0.274\,m

The amplitude of the motion is approximately 0.274 meters.

2) The total energy of the object (E), in joules, is found either by maximum elastic potential energy or by maximum translational kinetic energy, that is: (k = 450\,\frac{N}{m}, A \approx 0.274\,m)

E = U_{e}

E = \frac{1}{2}\cdot k\cdot A^{2}

E = \frac{1}{2}\cdot \left(450\,\frac{N}{m} \right) \cdot (0.274\,m)^{2}

E = 16.892\,J

The total energy of the object at any point of its motion is 16.892 joules.

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A 6.5 kg rock thrown down from a 120m high cliff with initial velocity 18 m/s down. Calculate
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this is the answer......

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