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Amanda [17]
3 years ago
8

Which statement correctly describes the current in a circuit that is made up of any two resistors connected in series with a bat

tery?
A. The current in the battery equals the sum of the currents in the resistors.

B. The current in the battery equals the product of the currents in the resistors.

C. The current in the battery and in each resistor is the same.

D. The current in the battery is less than the current in either resistor.
Physics
1 answer:
jeyben [28]3 years ago
6 0
The correct answer is
<span>C. The current in the battery and in each resistor is the same.

In fact, when resistors are connected in series, the current flowing through them is the same in each resistor. This is also equal to the current flowing in the circuit, so it is the same as the current flowing through the battery.</span>
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Answer:

The maximum acceleration of the system is 359.970 centimeters per square second.

Explanation:

The motion of the mass-spring system is represented by the following formula:

x(t) = A\cdot \cos (\omega \cdot t + \phi)

Where:

x(t) - Position of the mass with respect to the equilibrium position, measured in centimeters.

A - Amplitude of the mass-spring system, measured in centimeters.

\omega - Angular frequency, measured in radians per second.

t - Time, measured in seconds.

\phi - Phase, measured in radians.

The acceleration experimented by the mass is obtained by deriving the position equation twice:

a (t) = -\omega^{2}\cdot A \cdot \cos (\omega\cdot t + \phi)

Where the maximum acceleration of the system is represented by \omega^{2}\cdot A.

The natural frequency of the mass-spring system is:

\omega = \sqrt{\frac{k}{m} }

Where:

k - Spring constant, measured in newtons per meter.

m - Mass, measured in kilograms.

If k = 12\,\frac{N}{m} and m = 0.40\,kg, the natural frequency is:

\omega = \sqrt{\frac{12\,\frac{N}{m} }{0.40\,kg} }

\omega \approx 5.477\,\frac{rad}{s}

Lastly, the maximum acceleration of the system is:

a_{max} = \left(5.477\,\frac{rad}{s})^{2}\cdot (12\,cm)

a_{max} = 359.970\,\frac{cm}{s^{2}}

The maximum acceleration of the system is 359.970 centimeters per square second.

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