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Verdich [7]
1 year ago
9

A 20 ohm lamp and a 5 ohm lamp are connected in series and placed across a potential difference of 50 V.

Physics
1 answer:
iogann1982 [59]1 year ago
7 0

Hi there!

1.

Since the two resistors are in series, we can simply add:
R_T = R_1 + R_2 + ... R_n

R_T = 20 + 5 = \boxed{25 \Omega}

2.

In series, the potential difference of each resistor (lamp) ADDS UP. We can begin by finding the current through the circuit using Ohm's law:
V = IR\\\\I = \frac{V}{R_T}

Plug in the values:
I = \frac{50}{25} = 2 A

Now,

we can use Ohm's law to find the individual voltage for each lamp.

20 Ohm lamp:
V = 2 * 20 = \boxed{40 V}

5 Ohm lamp:
V = 2 * 5 = \boxed{10 V}

3.

To solve, we can use the power equation.

P (\text{Watts})= IV

Plug in the values for each.

20 Ohm lamp:
P = 2 * 40 = \boxed{80 W}

5 Ohm lamp:
P = 2 * 10 = \boxed{100 W}

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It is desired to lay off certain horizontal distances for building layouts. The length of the tapes are not 100.00 ft. Determine
Elodia [21]

Answer:

725.44 by 180.11

Explanation:

If a 100-ft tape was used, the number of such tapes in 725 ft would be \dfrac{725}{100}=7.25

And in 180 ft would be \dfrac{180}{100}=1.8

The same number of tapes would be used for the incorrect tape to give the false dimension. This would be

100.06\times7.25 by 100.06\times1.8 =

725.44 by 180.11

6 0
2 years ago
Construct c = a + b by drawing and calculating the direction and magnitude of c. The direction should be
Black_prince [1.1K]

the method of the coordinates we can find the vector sum of the two vectors given, therefore the answer is:

              c = 10.15

              a = 70.4º

measured counterclockwise from the positive side of the x-axis

given parameters

  • vectors a and b

to find

  • the vector adds

The sum of vectors must take into account finding both the magnitude of the vector that is a scalar and its direction.

One of the best methods to perform vector addition is to add their component and then find the resulting vector.

Let's use trigonometry to find the components of vectors a and b, we take the data from the diagram.

Vector a

magnitude m_a = 8.0

angle  θ= 45º   in the second quadrant

           cos 45 = x_a / m_a

           sin 45 = y_a / m_a

           x_a = m_a cos 45

           y_a = m_a sin 45

           x_a = 8.0 cos 45 = 5.657

           y_a = 8.0 sin 45 = 5.657

as we are in the second quadrant, see diagram

          x_a = - 5,657

          y_a = 5,627

     

Vactor b

magnitude m_b = 4.5

angle  θ = 60º   in the first quadrant

             cos 60 = x_b / m_b

             sin 60 = y_b / m_b

             x_b = m_b cos 60

             y_b = m_b sin 60

             x_b = 4.5 cos 60 = 2.25

             y_b = 4.5 sin 60 = 3.897

Having the components encode the components of the resulting vector

             cₓ = x_a + x_b

             c_y = y_a + y_b

             cₓ = - 5.657 + 2.25 = 3.407

             c_y = 5,657 + 3,897 = 9,554

With these values ​​we can find the modulus of the vector using the Pythagoras Theorem

             c = \sqrt{c_x^2 + c_y^2}

             c = \sqrt{3.407^2 + 9.554^2}

             c = 10.14

for the angle we must use the trigonometry relations

             tan  θ = \frac{c_y}{c_x}    

              θ = tan⁻¹ \frac{c_y}{c_x}

              θ = tan⁻¹ \frac{9.554}{3.407}

              θ = 70.4º

In conclusion with the method of coordinates we can find the resulting vector

             magnitud  c= 10.15

             angle  θ = 70.4º

measured counterclockwise from the positive side of the x axis

learn more about vector addition here:

brainly.com/question/15074838

6 0
2 years ago
A car is moving at 18 m/s when it accelerates at 8 m/s2 for 2 sec. What is his new velocity ?
ra1l [238]
Vf= at + Vi
Since at = 8m/s2 * 2 = 16m/s2
Vi=18m/s
=>Vf = 16m/s2 + 18m/s = 34m/s
So, the new velocity is 34m/s
5 0
3 years ago
Simple pendulum, is show in several states In case A the mass is travelling back down to the bottom and is in between the bottom
uysha [10]

The angular acceleration is maximum in case C

Explanation:

The motion of the bob in the simple pendulum is a portion of a circular motion. In a circular motion, the angular acceleration is related to the tangential acceleration by

a=\alpha r

where

a is the tangential acceleration

\alpha is the angular acceleration

r is the radius (the length of the pendulum)

Moreover for a pendulum, the tangential acceleration is given by the component of the acceleration of gravity in the tangential direction, so

a=g sin \theta

where

g is the acceleration of gravity

\theta is the angle of the pendulum with the vertical

So we have

\alpha = \frac{g sin \theta}{r}

Since g and r are constant, we see that the angular acceleration is proportional to the angle: the larger the angle, the larger the angular acceleration, and the smaller the angle, the smaller the angular acceleration.

Therefore, the angular acceleration is maximum when the pendulum is at its maximum height, and zero when it is at the lowest position. So, the correct statements are

It is maximum in case C

Learn more about periodic motion:

brainly.com/question/5438962

#LearnwithBrainly

3 0
2 years ago
A star’s parallax angle is 1.0. How far away is the star in light years?
larisa [96]
Distance = 2AU / tan1.0

If you mean 1.0 is in degrees, then Distance = 114.58 AU
7 0
2 years ago
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