A toaster has a resistance of 30 ohms. It draws 2A of current from the outlet. What is the potential difference ?
A. 60v
B. 2v
C. 15v
D.30v

The heat energy that will be converted into mechanical energy is 1.83 kJ.

The heat energy that will be converted into mechanical energy is calculated as follows;

Q = mcΔθ

where;

at 20 ⁰C = 293 K, C = 0.915 kJ/kg K

Q = (0.1 kg)(0.915)(20 )

Q = 1.83 kJ

Thus, the heat energy that will be converted into mechanical energy is 1.83 kJ.

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Answer:

W_net = mg + 2mgh/r

Explanation:

The forces applied in this motion of the bowling ball are both gravitational and centripetal forces.

Now, gravitational force is; F_g = mg

While centripetal force is; F_c = mv²/r

Since we want to express the net force in terms of the variables in the statement and we are not given "v", let's find an expression of v with the variables given.

Now, from Newton's equation of motion, at initial velocity of 0, v² = 2gh.

Thus;

F_c = 2mgh/r

Where;

m is ball mass

r is tube radius

h is fall height

Thus, the net force will be;

F_net = F_g + F_c

Now, Net force would be equal to the net weight that will be read on the scale.

Thus;

W_net = F_net = F_g + F_c

W_net = mg + 2mgh/r

At its lowest point, the net force of the bowling ball is equal to its net weight and this is given by \(F_{net} = mg + \frac{2mgh}{r}\)

Given the following data:

To write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the given variables:

In this scenario, there are two (2) forces acting on the bowling ball and these include:

Mathematically, centripetal force is given by this formula:

\(F_c = \frac{mv^2}{r}\)     .....equation 1.

Mathematically, gravitational force is given by this formula:

\(F_g= mg\)    ....equation 2.

Where:

Next, we would derive an expression for the velocity of the ball by applying the Law of Conservation of energy:

\(P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\V^2=2gh\) .....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

\(F_c = \frac{m(2gh)}{r}\\\\F_c = \frac{2mgh}{r}\)

At its lowest point, the net weight of the bowling ball is equal to its net force and this is given by this mathematical expression:

\(W_{net} = F_{net} = F_g + F_c\\\\F_{net} = mg + \frac{2mgh}{r}\)

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To find the kinetic energy at position B, we need to know the height or the velocity at position B. Without this information, we cannot calculate the exact value of the kinetic energy.

To determine the kinetic energy of the ball at position B, we need to consider the m conservation of Mechanical energy. Since the ball is released from position A, we can assume that there is no initial kinetic energy (velocity is zero), and the total mechanical energy at position A is equal to the potential energy.

The potential energy at position A can be calculated using the formula:

Potential energy at A = mass * gravitational acceleration * height

Potential energy at A = 20 kg * 9.8 m/s² * height

Now, at position B, all the potential energy is converted into kinetic energy. The kinetic energy at position B is given by the formula:

Kinetic energy at B = 1/2 * mass * velocity²

Since the ball is released from rest, the velocity at position B can be determined using the conservation of mechanical energy:

Potential energy at A = Kinetic energy at B

20 kg * 9.8 m/s² * height = 1/2 * 20 kg * velocity²

Simplifying the equation, we get:

9.8 m/s² * height = 1/2 * velocity²

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Answer:

8 blocks.

Explanation:

Given that,

A student walks 3 blocks East, 2 blocks North, 1 block West, and then 2 blocks  South.

We need to find the total distance traveled by the student. The distance covered by an object is equal to the sum of the total path covered. So,

Distance = 3 blocks + 2 blocks + 1 block + 2 blocks

= 8 blocks

So, the distance traveled by the block is 8 blocks.

Answer:

Explanation:

Force = mass * acceleration

Given

Mass = 1500kg

Get the acceleration using the equation of motion;

v² = u²+2aS

20² = 0+2s(200)

400 = 400a

a = 400/400

a = 1m/s²

Get the upward force required

F = 1500 * 1

F = 1500N

Hence the upward force required if the elevator moves upward 200.0 meters before reaching 20.0 m/s is 1500N

The electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.

The electric potential energy stored in a capacitor is given by the formula:

U = (1/2) * C * V^2

where U is the potential energy in Joules, C is the capacitance in Farads, and V is the voltage across the capacitor in Volts.

In this case, we are given that the capacitor stores 9.40 x 10^-10 C of charge at 50.0 V. However, we are not given the capacitance value. Therefore, we cannot calculate the potential energy directly using the above formula.

To find the capacitance value, we can use the formula:

C = Q / V

where Q is the charge stored in the capacitor and V is the voltage across the capacitor.

Substituting the given values, we get:

C = 9.40 x 10^-10 / 50.0

= 1.88 x 10^-11 F

Now we can use the formula for electric potential energy to find the energy stored in the capacitor:

U = (1/2) * 1.88 x 10^-11 * (50.0)^2

= 4.70 x 10^-8 J

Therefore, the electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.

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The bicyclist is applying more force on the pedals at Time 2. Option C

If we look at the image that have been shown, we can be able to see that the force that is acting have been shows by the arrows that have been used to label the movement of the cyclist in the image that is shown here.

We can see that the forward arrow at the time 2 is seen to be larger than the forward arrow that is shown for time 1. The implication of this is that the cyclist is cycling harder and applying more force at time 2 than at time 1.

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Answer:60 seconds

Explanation: Since we have the boy's initial location si (0m), final location sf (600m) and his velocity v, we can have our position equation like so:

sf = si + vt
600 = 0 + 10t

Solve for t by dividing 600 by 10 and your time t = 60s

Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.

It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.

This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.

For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.

Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.

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For one person standing at a distance of 1.57 m from the center, the carousel has an angular velocity of 0.512 rad/s, the person's mass  is mathematically given as

m = 24.2 kg

Generally, the equation for the conservation  angular momentum  is mathematically given as

(I + m * r0^2) * w0 = (I + m * r^2) * w^2

Therefore

(105 + m * 1.78^2) * 0.517 = (105 + m * 0.524^2) * 0.841

m = 24.2 kg

In conclusion, the mass  

m = 24.2 kg

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The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

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We are asked to find out how much of the light striking the gray rectangle is absorbed?

As you can see, 35% of the light got reflected after striking the gray rectangle.

The remaining light is

100% - 35% = 65%

65% of the light went into the gray rectangle and only 15% transmitted through it.

The light absorbed is

65% - 15% = 50%

50% of the light striking the gray rectangle is absorbed.

Examples of following forces mentioned -

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The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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Answer:

the answer to your question is b

The recurrent transition of something between two locations or states is referred to as oscillation.

Thus, A sine wave—a wave with everlasting motion like the side-to-side swing of a pendulum or the up-and-down action of a spring with a weight—is an example of an oscillation.

An oscillation is a periodic motion that repeats itself in a regular cycle. Around an equilibrium point or mean value, an oscillating movement takes place. Periodic motion is another name for it.

An oscillation is a continuous movement that occurs throughout time, whether it is going up and down or side to side.

Thus, The recurrent transition of something between two locations or states is referred to as oscillation.

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Answer:

B

Explanation:

Monucles work in different shapes

Answer:

Explanation:

If 2 magnets are attracting, then the north pole of one magnet is facing the south pole of the other.  The magnetic field lines between the two magnets are connected and the direction of flow is north to south.

Answer:

false ..........false

Answer:

FALSE                                            

Explanation:

It takes approximately 9.05 seconds to roll the drum a distance of 36 meters.

We can use the formula for the circumference of a circle:

Circumference = 2 * π * radius

Given:

Radius (r) = 0.40 m

Circumference (C) = 2 * π * 0.40 m

We must figure out how many full rotations the drum makes to go 36 meters in order to calculate how long it takes to roll the drum. Since we are aware of the circumference, we can determine the number of full turns as follows:

Number of turns = Distance / Circumference

Given:

Distance = 36 m

Number of turns = 36 m / (2 * π * 0.40 m)

Now that we know how many turns there are, we can calculate the time by multiplying that number by the length of a turn, which is given as 8.0 seconds:

Time = Number of turns * Time per turn

Time = (36 m / (2 * π * 0.40 m)) * 8.0 s

By substituting the values into the equation, we can calculate the time:

Time = (36 / (2 * 3.14159 * 0.40)) * 8.0 s

Time ≈ 9.05 s

So, it takes approximately 9.05 seconds to roll the drum a distance of 36 meters.

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Answer:

Two tuning forks with frequencies of 256 Hz and 512 Hz are struck. Which of the sounds will move faster through the air? Neither, the speed of sound is constant in air.

Answer:

- the power rating of the resistance heater is 24139.5 W

- the inner surface temperature of the pipe at the exit is 96.34°C

Explanation:

Given the data in the question;

Flow rate of water in the tube V" = 5L/min = 8.333 × 10⁻⁵ m³/s        

The water is to be heated from 10°C to 80°C;

so Average or mean temperature \(T_{avg\) will be;

\(T_{avg\) = (T₁ + T₂) / 2 = (10 + 80) / 2 = 90/2 = 45°C

Now, from the Table " Properties of Water " at average temperature;

at \(T_{avg\) = 45°C

density p = 990.1 kg/m³

specific heat \(C_p\) = 4180 J/kg-k

thermal conductivity k = 0.637 W/m-°C

Now, we determine the mass flow;

m" = pV"

we substitute

m" = 990.1 × 8.333 × 10⁻⁵

m" = 0.08250 kg/s

we know that the power rating of the resistance heater is equal to the heat transfer rate to the water;

Q' = m"\(C_p\)( T₂ - T₁ )

we substitute

Q' = (0.08250 × 4180 ) ( 80 - 10 )

Q' =  344.85 × 70

Q' = 24139.5 W

Hence, the power rating of the resistance heater is 24139.5 W

Next, we determine the average velocity of water in the tube;

\(V_{avg\) = V" / \(A_c\)

\(V_{avg\) = V" / ( \(\frac{1}{4}\)πD² )

given that;  flows through a 2-cm-internal-diameter; D = 0.02 m

we substitute

\(V_{avg\) = (8.333 × 10⁻⁵) / ( \(\frac{1}{4}\)π × (0.02)² )

\(V_{avg\) = (8.333 × 10⁻⁵) / ( 3.14159 × 10⁻⁴ )

\(V_{avg\) =  0.265 m/s

Also, from table " saturated water property table "

At 45°C

viscosity μ = 0.596 × 10⁻³ kg/m-s

Prandtl number Pr = 3.91

Now, we determine the kinematic viscosity

v = μ / p

we substitute

v = ( 0.596 × 10⁻³ ) / 990.1

v = 6.01959 × 10⁻⁷ m²/s

so, Reynolds number in the flow region will be;

Re = (\(V_{avg\) × D) / v

we substitute

Re = ( 0.265 × 0.02) / (6.01959 × 10⁻⁷)

Re = 8804.586

we can see that our Reynolds number (  8804.586 ) more than 2300 and less than 10,000.

Hydraulic and thermal entry length are equal in this flow region,

such that;

\(L_h\) = \(L_t\)

⇒ 10 × D = 10 × 0.02 = 0.2 m

we can see that the entry length ( 0.2 m ) is smaller than the given length ( 13 m ) in the question; the flow is a turbulent flow.

So we the Nuddelt number

Nu = \(0.023Re^{0.8} Pr^{0.4\)

Nu = 0.023 × \(8804.586^{0.8\) × \(3.91^{0.4\)

Nu = 56.8

Hence, the heat transfer coefficient h will be;

h = \(\frac{k}{D}\) × Nu

we substitute

h = \(\frac{0.637}{0.02}\) × 56.8

h = 31.85 × 56.8

h = 1809.1 W/m²-°C

Now, area of the heat transfer will be

A\(_s\) = πDL

we substitute

A\(_s\) = π × 0.02 × 13

A\(_s\) = 0.8168 m²

Finally we determine the inner temperature of the pipe at exit. using the relation;

Q' = hA\(_s\)( T₃ - T₂ )

we substitute

24139.5 = 1809.1 × 0.8168( T₃ - 10 )

24139.5 = 1477.67288( T₃ - 80 )

24139.5 = 1477.67288T₃ - 118213.8304

24139.5 + 118213.8304 = 1477.67288T₃

1477.67288T₃ = 142353.3304

T₃ = 142353.3304 / 1477.67288T

T₃ = 96.34°C

Therefore, the inner surface temperature of the pipe at the exit is 96.34°C

The average highest height of a professional football kick is 189.728 m if the hang time is 4.4 seconds on average.

A person or an object's total duration in the air after leaving the ground is known as their "hang time." From the time anything leaves the ground until it returns, it is measured.

We know,

y= gt²

Here,

y = Average maximum height

g = acceleration due to gravity

t = Average hang time

Given,

Average hang time (t) = 4.4s

Acceleration due to gravity (g) = 9.8 m/s² (assuming)

Inserting these values in the given equation,

y = gt²

  = 9.8×4.4×4.4

  = 189.728 m.

Hence, the average maximum height of the football is 189.728 m.

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Answer:

walking to school

Explanation:

Driving a car to school

, and taking the bus to school​ both take up energy, unlike walking to school.

unless ur talking about energy, counting energy you produce and use to complete things, then it would be the 3rd one, taking the bus to school.

Answer:

-6.44 m/s²

Explanation:

Given:

Δx = 60 m

v₀ = 27.8 m/s

v = 0 m/s

Find: a

v² = v₀² + 2aΔx

(0 m/s)² = (27.8 m/s)² + 2a (60 m)

a = -6.44 m/s²

Answer:

the kinetic energy lost in the collison is a) 30 J

Explanation:

given data

mass of door m1 = 35 kg

width a = 90 cm = 0.9 m

the mass of ball  m2 = 500 g = 0.5 kg

initial speed of ball  u = 20 m/s

final speed of ball  v = 16 m/s

r = 60 cm = 0.6 m

soluion

we will consider here final angular speed of the door = w

so now we use conservation of angular momentum  that is

Li = Lf    ........................1

that is express as

m2 × u × r = I × w + m2 × v × r

put here value and we get  

0.5 × 20 × 0.6 = \((m1 \times \frac{a^2}{12})\) × w + 0.5 × 16 × 0.6

solve it we get

w = 0.508 rad/s

so that here

the kinetic energy lost in the collison,

KE = KE initial - KE final     ..................2

put here value

KE = 0.5 × m2 × u² - (0.5 × I × w² + 0.5 × m2 × v²)

KE = 0.5 × (0.5 × 20² - (35 × 0.9² ÷ 12) × 0.508² - 0.5 × 16²) J

KE = 30 J

the kinetic energy lost in the collison is a) 30 J

Answer:

10 times less bright

Explanation:

If Earth is 5 times farthest from the sun and Jupiter is 5 times farther than Earth then 5+5 is 10 therefor the sun is not as bright leading to 10 times less brightness.

Answer:

A producer needs the sun to make its own food, because producers use photosynthesis. In photosynthesis you use the sun to turn the air people breathe out and water into glucose and oxygen.

Explanation:

Hope this helps ^-^

The 1.50–m initial height of the green bead, of mass 0.445–kg and the elastic collision with the blue bead of mass 0.610–kg, gives the height to which the green bead rises as approximately 1.07 meters

An elastic collision in a system is one in which, there is no net loss in the kinetic energy of the system.

During a perfectly elastic collision, we have:

Momentum coming into the collision = Momentum output of the collision

The kinetic energy input, 0.5·m·v² = The kinetic energy output

0.5·m₁·v₁² + 0.5·m₂·v₂² = 0.5·m₁·v₁ₓ² + 0.5·m₂·v₂ₓ²

Where:

Subscript x represent the velocity after the collision.

From the principle of the conservation of energy, we have:

Potential energy, P.E. of the blue bead at A = The kinetic energy, K.E. at B

The potential energy gained by blue bead at A = m·g·h

Which gives: P.E. = 0.445 × 9.81 × 1.50 = 6.548175

K.E. = 0.5×0.445 × v₁² = 6.548175

v₁² = 6.548175 ÷ (0.5×0.445) = 29.43

v₁ = √(29.43) ≈ 5.425

Which gives: 0.445×5.425 + 0.610×0 = 0.445×v₁ₓ + 0.610·v₂ₓ

2.414125 = 0.445×v₁ₓ + 0.610·v₂ₓ...(1)

0.5·m₁·v₁² + 0.5·m₂·v₂² = 0.5·m₁·v₁ₓ² + 0.5·m₂·v₂ₓ²

0.5·m₁·v₁² = 6.548175

0.5·m₂·v₂² =  0.5·m₂ × 0 = 0

0.5·m₁·v₁² + 0.5·m₂·v₂² = 0.5·m₁·v₁ₓ² + 0.5·m₂·v₂ₓ²

6.548175 + 0 = 0.5 × 0.445 × v₁ₓ + 0.5 × 0.610 × v₂ₓ² = 0.2225·v₁ₓ² + 0.305·v₂ₓ²

6.548175 = 0.2225·v₁ₓ² + 0.305·v₂ₓ²...(2)

From equation (1), we have: 2.414125 - 0.610·v₂ₓ = 0.445×v₁ₓ

\(v_{1x} = \dfrac{2.414125 - 0.610 \cdot v_{2x}}{0.445}\)

Plugging in the value of v₁ₓ into equation (2) and simplifying with a graphing calculator gives:

488603753600·v₂ₓ² -2236114761440·v₂ₓ + 93968247=0

Which gives; v₂ₓ ≈ 4·576

The initial kinetic energy of the green bead is therefore found as follows; K.E. ≈ 0.5 × 0.610 × 4.576² = 6.38663168

P.E. = m·g·h = K.E.

\(\therefore P.E. = \dfrac{K.E.}{m \times g}\)

\(Height \ reached, h \approx \dfrac{6.38663168}{0.610 \times 9.81} \approx 1.07\)

The height to which the green bead rises is approximately 1.07 meters

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