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Sholpan [36]
4 years ago
9

A 9.0 volt battery is connected to four resistors in a parallel circuit. The resistors have 7.0 Ω, 5.0 Ω, 4.0 Ω, and 2.0 Ω respe

ctively. What is the total current in the circuit?
Physics
2 answers:
lidiya [134]4 years ago
5 0
Series,effective resistance =R₁+R₂+R₃...
parallel,effective resistance 1/R=1/R₁ +1/R₂ +1/R₃...
 
Here,effective resistance 1/R =1/7 +1/5+ 1/4+1/2  
                                           =1.092
                                       R = 1/1.092 =0.915Ω
voltage V=9 V 
current I=V/R
           
I=9 / 0.915
            =9.83 A
shepuryov [24]4 years ago
4 0
Parallel resistance = <u />\frac{1}{7} + \frac{1}{5} + \frac{1}{4} + \frac{1}{2}
=\frac{140}{153}

now , V= 9V
V = IR
I = \frac{V}{R}
I = \frac{9}{140} x 153
I = 9.835714 A

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A record of travel along a straight path is as follows:
nignag [31]

Answer:

a) Total displacement  = 3986.54 m

b) Average speeds

      Leg 1 ->  11.22 m/s

      Leg 2 ->  22.44 m/s

      Leg 3 ->  11.20 m/s

      Complete trip ->  21.63 m/s

Explanation:

a) Leg 1:

Initial velocity, u =  0 m/s

Acceleration , a = 2.04 m/s²

Time, t = 11 s

We have equation of motion s= ut + 0.5 at²

Substituting

   s= ut + 0.5 at²

    s = 0 x 11 + 0.5 x 2.04 x 11²

    s = 123.42 m

Leg 2:

We have equation of motion v = u + at

Initial velocity, u =  0 m/s

Acceleration , a = 2.04 m/s²

Time, t = 11 s

Substituting

   v = 0 + 2.04 x 11 = 22.44 m/s

We have equation of motion s= ut + 0.5 at²

Initial velocity, u =  22.44 m/s

Acceleration , a = 0 m/s²

Time, t = 2.85 min = 171 s

Substituting

   s= ut + 0.5 at²

    s = 22.44 x 171 + 0.5 x 0 x 171²

    s = 3837.24 m

a) Leg 3:

Initial velocity, u =  22.44 m/s

Acceleration , a = -9.73 m/s²

Time, t = 2.31 s

We have equation of motion s= ut + 0.5 at²

Substituting

   s= ut + 0.5 at²

    s = 22.44 x 2.31 + 0.5 x -9.73 x 2.31²

    s = 25.88 m

Total displacement = 123.42 + 3837.24 + 25.88 = 3986.54 m

Average speed is the ratio of distance to time.

b) Leg 1:

        v_{avg}=\frac{123.42}{11}=11.22m/s

 Leg 2:

        v_{avg}=\frac{3837.24}{171}=22.44m/s

Leg 3:

        v_{avg}=\frac{25.88}{2.31}=11.20m/s

Complete trip:

        v_{avg}=\frac{3986.54}{11+171+2.31}=21.63m/s

                           

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Depict the following path: You drive 14 blocks East, 7 blocks North, and 2 blocks West. Use the vertex of the graph (coordinates
horrorfan [7]

Answer:

Displacement = 12\hat{i} +7\hat{j}

Magnitude of displacement = 13.89 units

Angle of displacement = 30.26°

Explanation:

Mark the co-ordinates of each of the end points of the vectors.

The marked co-ordinates are shown below.

Displacement is the shortest distance between two points. Here, displacement between the starting and end points is the vector \overrightarrow{OA}.

Displacement vector for a point A(x,y) from origin O is given as:

\overrightarrow{OA}=(x-0)\hat{i}+(y-0)\hat{j}

Magnitude is given as:

|\overrightarrow{OA}|=\sqrt{x^{2}+y^{2}}

Direction of the vector is given as:

\theta=tan^{-1}\frac{y}{x}

Therefore, displacement vector is:

\overrightarrow{OA}=(12-0)\hat{i}+(7-0)\hat{j}\\ \overrightarrow{OA}=12\hat{i}+7\hat{j}

Magnitude of displacement is given as:

|\overrightarrow{OA}|=\sqrt{x^{2}+y^{2}}\\ |\overrightarrow{OA}|=\sqrt{12^{2}+7^{2}}\\ |\overrightarrow{OA}|=\sqrt{144+49}\\\\ |\overrightarrow{OA}|=13.89

Angle of displacement is:

tan\theta=\frac{y}{x} =\frac{7}{12}\\\theta=tan^{-1}(\frac{7}{12})

\theta=30.26°

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4 years ago
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