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Paladinen [302]
3 years ago
11

A particle is moving with SHM of period pie . initially it is 10 cm from The center of the motion and moving in the positive dir

ection with speed of 6cm/s find an equation to describe motion
Physics
1 answer:
Viefleur [7K]3 years ago
7 0

Answer:

y = 10.44cos(2t - 0.291) cm

Explanation:

y = Acos(2πt/T + φ) = Acos(2πt/π + φ) = Acos(2t + φ)

v = y' = -2Αsin(2t + φ)

10 = Acos(2(0) + φ) = Acosφ

6 = -2Αsin(2(0) + φ) = -2Asinφ

6/10 = -2Asinφ/Acosφ = -2tanφ

tanφ = -0.3

φ = -0.291 radians

10 = Acos(-0.291)

A = 10/cos(-0.291) = 10.44

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The question is incomplete! circuit figure is attached below and answer and explanation is provided below.

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Bulb_A = Bulb_B = Bulb_D and Bulb_C = 0.

Explanation:

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When the switch is open Bulb_C is open circuited meaning that there is no way for the current to flow through it. This path offers infinite resistance to the current therefore, current will try to take a least resistance path that is through Bulb_B.

So eventually, when the switch is open the circuit becomes a simple series circuit with path From battery to Bulb_A to Bulb_B to Bulb_D to battery with Bulb_C = 0.

What happens in a series circuit?

We know that in a series circuit, there is only one path for the current to flow therefore, same current will flow through all the series Bulbs and their brightness will be same. Bulb_A = Bulb_B = Bulb_D

Brightness in a series circuit:

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3 years ago
A conducting sphere with a radius of 0.25 m has a total charge of 5.90 mC. A particle with a charge of −1.70 mC is initially 0.3
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Explanation:

The given data is as follows.

     r_{1} = 0.25 m,    q = 5.90 mC = 5.90 \times 10^{-3} C

     r_{2} = 0.35 m,    q = 1.70 mC = 1.70 \times 10^{-3} C

(a)  Now, we will calculate the electric potential as follows.

             V = k \frac{q}{r}

First, we will calculate the initial and final electric potential as follows.

    V_{i} = 9 \times 10^{9} \times \frac{5.90 \times 10^{-3}}{0.25 m}      

                = 212.4 \times 10^{6}

or,             = 2.124 \times 10^{8}

V_{f} = 9 \times 10^{9} \times \frac{1.70 \times 10^{-3}}{0.35 m}      

                = 43.71 \times 10^{6}

or,             = 4.371 \times 10^{8}

Hence, the value of change in electric potential is as follows.

              \Delta V = V_{f} - V_{i}

                         = 4.371 \times 10^{8} - 2.124 \times 10^{8}

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Therefore, the difference in electric potential energy is 2.247 \times 10^{8} V.

(b)  Now, we will calculate the potential energy as follows.

                P.E = qV

                    = -1.70 \times 10^{-3}C \times 2.247 \times 10^{8} V

                    = -3.8199 \times 10^{5}

Therefore, the change in the system's electric potential energy is -3.8199 \times 10^{5}.

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