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VLD [36.1K]
2 years ago
14

Calculate the final displacement from 0 if an object first moves 3 cm to the left and then 5 cm to the right.

Physics
2 answers:
antiseptic1488 [7]2 years ago
5 0
So.. if it moves 3cm to the left and 5 cm to the right, you know that it takes 3cm to get it back to it's initial starting position, but it's been displaced. 
So the final displacement is 2cm to the right.
antiseptic1488 [7]2 years ago
3 0

Answer: 2 cm to the right

Explanation:

The displacement is the shortest distance between initial and final position.

It can be calculated by subtracting the initial position from final position.

Let the sign be positive for direction towards right and negative for direction towards left.

The initial position is 0.

Firstly, object moves towards left = -3 cm

Then, the object moves towards right = 5 cm

Thus, the final position of the object is = -3 cm + 5 cm = +2 cm

Displacement = final position - initial position = + 2 cm - 0 = + 2 cm

Thus, the final displacement is 2 cm to right.

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A series RLC circuit has a resonant frequency = 6.00 kHz. When it is driven at a frequency = 8.00 kHz, it has an
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The resistance (R) of the circuit is 707.1 ohms and the inductance (L) is 0.032 H.

<h3>Resistance of the circuit</h3>

For the phase constant of 45⁰, impedance is equal to the resistance of the circuit.

Z= R\sqrt{2} \\\\R  = \frac{Z}{\sqrt{2} } \\\\R = \frac{1000}{\sqrt{2} } = 707.1 \ ohms

<h3>Resonant frequency</h3>

f = \frac{1}{2\pi \sqrt{LC} } \\\\6000 = \frac{1}{2\pi \sqrt{LC} } \\\\2\pi(6000) = \frac{1}{\sqrt{LC} } \\\\\sqrt{LC} = \frac{1}{2\pi (6000)} \\\\LC = (\frac{1}{2\pi (6000)})^2\\\\LC = 7.034 \times 10^{-10} \\\\ C = \frac{7.034 \times 10^{-10} }{L} ---(1)

<h3>At driven frequency</h3>

X_l- X_c = R\\\\\omega L - \frac{1}{\omega C}  = 707.1\\\\2\pi f L -  \frac{1}{2\pi fC} = 707.1\\\\2\pi (8000) L - \frac{1}{2\pi (8000) C } = 707.1\ \ --(2)\\\\

<em>solve 1 and 2 together</em>

2\pi(8000) L - \frac{L}{2\pi (8000)(7.034 \times 10^{-10})} = 707.1\\\\50272L - 28279.48L = 707.1\\\\L = 0.032 \ H

Learn more about impedance of RLC circuit here: brainly.com/question/372577

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