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Studentka2010 [4]
3 years ago
12

An AC voltage source of amplitude 10V is supplied across an inductor and a resistor wired in series. The voltage amplitude acros

s the inductor is 5V. The voltage amplitude across the resistor is closest to:___________.
Physics
1 answer:
marin [14]3 years ago
4 0

Answer:

8.66 V

Explanation:

Vo = 10 v

VL = 5 V

VR = ?

According to the equation of LR circiut

V_{0}^{2}=V_{R}^{2}+ V_{L}^{2}

10 x 10 = VR² + 5 x 5

100 - 25 = VR²

VR² = 75

VR = 8.66 V

Thus, the voltage amplitude across the resistor is 8.66 v.

Explanation:

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Question 4 options: The steps that lead you from dependence to independence are referred to as The _________ to Lifetime Fitness
Usimov [2.4K]

Answer:

Stairway.

Explanation:

The steps that lead you from dependence to independence are referred to as the stairway to Lifetime Fitness, Health, and Wellness.

This ultimately implies that, these stairway or steps are very important and essential for all humans who seek Lifetime Fitness, Health, and Wellness.

A good health can be defined as the state of well-being (wellness) in which all of the components of an individual's health are balanced. These state of wellness comprises of six (6) important components and they are;

1. Physical: this is a measure of the state of an individual's body or the way the body functions. It is enhanced by eating right, working out or exercising, avoiding drugs and alcohol, maintaining a good body mass index etc.

2. Emotional: this deals with the state of an individual's mind being void of worries, negativity etc.

3. Social: this involves keeping a good relationship with friends, family and many others around.

4. Environmental: it deals with maintaining a hygienic surrounding, that is devoid of pollutants.

5. Mental or intellectual: avoiding unnecessary stress and anxiety while dealing or coping with the realities of life.

6. Spiritual: it encompasses belief systems, values, ideals, morality etc.

Hence, when an individual is able to balance all of these above mentioned components, then he or she is said to be healthy.

6 0
3 years ago
Roughly to what height would a 5 kg stone need to be raised in order to have the same stored energy as the energy stored in the
hoa [83]

8.16m is the required height, a 5kg stone need to be raised.

One sort of potential energy is gravitational potential energy, which is equal to the product of the object's mass (m), the gravitational acceleration (g), and the object's height (h) as measured in relation to the ground's surface (the body).

We obtain the formula by considering the work done in raising a mass m through a height h.

Work in elevating mass m through height h is equal to force times distance.

The force must be greater than the mass m's weight, hence F = mg.

Work done = mgh = gravitational potential energy

Energy =  Mass of the object × gravitational acceleration × height.

Mass of the stone = 5kg

Equating ;

∴ 400 J = 5 kg × 9.8 m/s² × height

  Height = 8.16 m

Therefore, 8.16m is the required height.

Learn more about energy here:

brainly.com/question/1242059

#SPJ1

8 0
2 years ago
How many neutrons does element x have if it's atomic number is 27 and it's mass number is 74
Makovka662 [10]

Atomic number=Proton count

Atomic mass=Proton count+ neutron count

Neuton Count=Atomic mass-Proton count

Proton count=Atomic number=27

Mass number=74

Neuton count= 74-27=47

3 0
3 years ago
A thermometer initially reading 212F is placed in a room where the temperature is 70F. After 2 minutes the thermometer reads 125
frez [133]

Answer:

91.3°F

Explanation:

Let T be the temperature of the thermometer at any time

T∞ be the temperature of the room = 70°F

T₀ be the initial temperature of the thermometer = 212°F

And m, c, h are all constants from the cooling law relation

From Newton's law of cooling

Rate of Heat loss by the cake = Rate of Heat gain by the environment

- mc (d/dt)(T - T∞) = h (T - T∞)

(d/dt) (T - T∞) = dT/dt (Because T∞ is a constant)

dT/dt = (-h/mc) (T - T∞)

Let (h/mc) be k

dT/(T - T∞) = -kdt

Integrating the left hand side from T₀ to T and the right hand side from 0 to t

In [(T - T∞)/(T₀ - T∞)] = -kt

(T - T∞)/(T₀ - T∞) = e⁻ᵏᵗ

(T - T∞) = (T₀ - T∞)e⁻ᵏᵗ

Inserting the known variables

(T - 70) = (212 - 70)e⁻ᵏᵗ

(T - 70) = 142 e⁻ᵏᵗ

At t = 2 minute, T = 125°F

125 - 70 = 142 e⁻ᵏᵗ

55/142 = e⁻ᵏᵗ

- kt = In (55/142) = In (0.3873)

- k(2) = - 0.9485

k = 0.4742 /min

At time t = 4 mins

kt = 0.4742 × 4 = 1.897

(T - 70) = 142 e⁻ᵏᵗ

e^(-1.897) = 0.15

T - 70 = 142 × 0.15 = 21.3

T = 91.3°F

7 0
3 years ago
Please answer it is urgent <br>I will make u brainlist
adelina 88 [10]
For B, it is because water is a really good conductor of electricity, so the electrician will get shocked
6 0
3 years ago
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