If the current in a circuit is 3. 2 mA and the resistance of the wire used in the circuit is 250 Ω, what is the voltage of the fuel cell being used?



Formula;



Calculation;



Answer:

According to the question the angular velocity of OA when it reaches the vertical position is given by ω.

Velocity is a measure of the rate of change in the position of an object over time. It is a vector quantity, meaning it has both magnitude (or length) and direction. Velocity is the speed of an object in a given direction. It is calculated by dividing the distance traveled by the time taken to travel that distance.

Let ω be the angular velocity of OA when it reaches the vertical position.

The angular momentum of the system about the center of mass G is given by:

[tex]L_G = I_G \omega + M[/tex]

where [tex]I_G[/tex] is the moment of inertia of the crank OA about G.

The moment of inertia of the crank OA about G is given by:

[tex]I_G = m_oa r_o^2 + m_ab l^2[/tex]

where [tex]m_{oa[/tex] is the mass of the crank OA, l is the length of the uniform slender bar AB, and [tex]r_o[/tex] is the radius of gyration of the crank OA about O.

The angular momentum of the system about the center of mass G due to the 12-kg uniform slender bar AB is given by:

[tex]L_G = m_{ab} v l[/tex]

where v is the speed of point B when OA swings through the vertical position.

By equating the two angular momentum equations, we have:

[tex]m_oa r_o^2 \omega + M = m_{ab} v l[/tex]

Rearranging the above equation, we obtain:

[tex]M = m_oa r_o^2 \omega + m_ab v l[/tex]

Substituting known values, we get:

[tex]M = 8 kg \times (0.22 m)^2 \times \omega + 12 kg \times 8 m/s \times 1 m[/tex]

[tex]M = 1.76 kg m^2/s^2 \omega + 96 kg m/s^2[/tex]

Thus, the magnitude of the torque M is given by:

[tex]M = 1.76 kg m^2/s^2 \omega + 96 kg m/s^2[/tex]

The angular velocity of OA when it reaches the vertical position is given by:

[tex]\omega = (M - 96 kg m/s^2) / (1.76 kg m^2/s^2)[/tex]

Substituting the known value for M, we get:

[tex]\omega = (1.76 kg m^2/s^2 \omega + 96 kg m/s^2 - 96 kg m/s^2) / (1.76 kg m^2/s^2)\\\omega = 1.76 kg m^2/s^2 \omega / 1.76 kg m^2/s^2\\\omega = \omega[/tex]

Hence, the angular velocity of OA when it reaches the vertical position is given by ω.

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Bumper cars are a popular ride at fairs and amusement parks, designed for riders to bump into each other while driving around. When two bumper cars move towards each other, there are two factors that affect the momentum of each car.

The first factor is the mass of the car. The heavier the car, the more momentum it has. So, a heavier bumper car will be harder to stop and will have more force when it hits another car. The second factor is the speed of the car. The faster a car is moving, the more momentum it has.

Therefore, if two cars are moving at the same speed, they will have equal momentum. However, if one car is moving faster than the other, it will have more momentum and cause a greater impact when it collides.

When two bumper cars crash into each other, both cars come to a stop. This is due to the law of conservation of momentum. This law states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision.

In this case, the two bumper cars collide and their momentum is transferred to each other, causing both cars to come to a stop.

When the cars collide, the force of the impact causes the cars to stop. The cars' kinetic energy is transferred to other forms of energy, such as heat and sound.

Additionally, the cars' bumpers are designed to absorb some of the impact, which also helps to slow the cars down and prevent injury to the riders.

In conclusion, the momentum of a bumper car is affected by its mass and speed. When two cars collide, they come to a stop due to the law of conservation of momentum. The force of the impact and the design of the bumpers also play a role in the cars' deceleration.

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The sound wave moved at a speed of about 170.59 m/s.

Echoes. An echo is a sound that is reproduced when sound waves are reflected back. Sound waves can also reflect off smooth, hard surfaces, much to way a rubber ball does. The echo sounds the same as the original sound, despite the fact that the sound's direction changes.

Time for sound to reach the mountain and bounce back = 2 x 1.7 s = 3.4 s

The distance traveled by the sound wave is twice the distance between the hiker and the mountain, so:

Distance = (580 m x 2 x 290 m)

Using the formula:

Speed = Distance / Time

we get:

Speed = 580 m / 3.4 s = 170.59 m/s

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A person's strength, speed, power, agility, flexibility, and endurance are all increased with cross training, which also helps to reduce the chance of injury.

Cross-training is the technique of preparing employees to perform duties that go outside of their typical responsibilities or to work in multiple different jobs. For instance, cross-training could be used to teach someone who works in collections how to work in billing, and the other way around.

This is based on the finding that strengthening one limb while exercising the opposite limb results in a phenomena known as cross-training, also known as the contralateral strength training effect.

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True. Cross training is a type of training routine that combines two or more different exercises into a workout to prevent injuries, burnout, and overuse.

What is the cross-training training method?

Cross-training is the technique of preparing employees to perform duties that go outside of their typical responsibilities or to work in multiple different jobs. For instance, cross-training could be used to teach someone who works in collections how to work in billing, and the other way around.

A piece of cardio training equipment is a cross trainer, commonly referred to as an elliptical trainer. It is a fantastic full-body exercise and works your arms and legs at the same time. Cross training and a cross trainer are very different from one another, however a cross trainer can play a significant role in a cross training regimen.

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The molar specific heat of a diatomic gas measured at constant volume and found to be 29.1 J/mol·K indicates that the types of energy contributing to the molar specific heat are: (b) translation and rotation only.

This is because diatomic molecules have 5 degrees of freedom: 3 translational and 2 rotational. The molar specific heat at constant volume (Cv) can be calculated using the formula Cv = (f/2)R, where f is the degrees of freedom and R is the gas constant (8.314 J/mol·K).

For diatomic molecules with 5 degrees of freedom, Cv = (5/2)R = 20.785 J/mol·K. However, given the value of 29.1 J/mol·K, it is close to the expected value of (7/2)R = 29.09 J/mol·K, which represents the 3 translational and 2 rotational degrees of freedom without including vibrational energy.

Thus, only translation and rotation are contributing to the molar specific heat in this case.

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The linear velocity of the boy's toes during a cartwheel is 2.29 m/s. This demonstrates the relationship between centripetal force, radius, and velocity in circular motion.

To determine the linear velocity of a boy's toes during a cartwheel, we can use the formula for centripetal force and the formula for linear velocity. Centripetal force is given by [tex]F = mv^2/r[/tex], where m is the mass of the object, v is its velocity, and r is the radius of the circular motion.

In this case, the boy's toes are moving in a circular path during the cartwheel and are experiencing a centripetal force of 5.0 m/s².

To find the linear velocity of the boy's toes, we need to first calculate the radius of the circular path they are following. The length of the boy from his toes to the end of his fingers is 2.1 m, so the radius of the circular path is half this length, or 1.05 m.

Using the formula for centripetal force, we can solve for the velocity of the boy's toes as follows:

[tex]F = mv^2/r[/tex]

[tex]5.0 \;m/s^2 = m v^2 / 1.05 \;m[/tex]

[tex]v^2 = (5.0 \;m/s^2) \times 1.05 m[/tex]

[tex]v = \sqrt{(5.25)} m/s[/tex]

v = 2.29 m/s (rounded to two decimal places)

Therefore, the linear velocity of the boy's toes during a cartwheel is 2.29 m/s. This demonstrates the relationship between centripetal force, radius, and velocity in circular motion.

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The force exerted on the beam by the right support B is closest to: (B).320N is correct option.

If the beam is at rest, the sum of the forces and the sum of the torques acting on it must be equal to zero.

Assuming the beam is supported at its two ends, the sum of the forces acting on the beam will be equal to the weight of the beam, which is given by:

W = m * g

W = (600 N) / (9.81 m/s²) ≈ 61.14 kg

Each support will exert an equal and opposite force on the beam, which we can denote as F. Therefore, the sum of the forces acting on the beam will be:

ΣF = 2F - W = 0

Solving for F, we get:

F = W/2

F ≈ 30.57 kg ≈ 300 N

Therefore, the force exerted on the beam by the right support B is closest to 300 N.

The complete question is,

A uniform 400-N beam 6 m long rests on two supports. Support Ais im from the left end of the beam Support B is at the right end of the beam. What is the value in N. of support force exerted on the beam by the left support A? 400 0 320 240 O 160

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To find the average speed of the cat, we need to use the formula:

Average speed = total distance ÷ total time

From the given information, we know that the total distance the cat runs is 5.00 m + 10.0 m = 15.0 m. The total time taken by the cat to run this distance is 20.0 s + 8.00 s = 28.0 s. Substituting these values in the formula, we get:

Average speed = 15.0 m ÷ 28.0 s
Average speed = 0.536 m/s (rounded to three significant figures)

Therefore, the average speed of the cat as it runs along the x-axis from points A to C is 0.536 m/s.

It's important to note that average speed only considers the total distance covered and the total time taken, regardless of any changes in direction or speed during the journey. In this case, the cat runs along a straight line, so its speed and direction remain constant.

Also, we can observe that the cat runs faster from point A to point B (20.0 s) than from point B to point C (8.00 s). However, the average speed takes into account the entire distance covered, so the slower speed over a longer distance from B to C brings down the average speed.

In conclusion, the cat's average speed on a straight line from points A to C is 0.536 m/s.

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To work a ball of dough with the fingertips or heels of the hands by repeating press, fold, and turn motions is to knead the dough.

This process helps develop the gluten in the dough, resulting in a smooth and elastic texture.

Here's a more detailed explanation of the kneading process and its effects on the dough:

Gluten Development: Gluten is a network of proteins found in wheat flour. When the dough is kneaded, the proteins in the flour, called glutenin and gliadin, combine and form gluten strands.

Kneading promotes the alignment and cross-linking of these protein strands, creating a network that gives the dough its structure and elasticity.

Incorporation of Air: During the kneading process, air is also incorporated into the dough. The repeated folding and pressing motions trap air bubbles within the dough, contributing to its light and airy texture once baked.

Hydration and Consistency: Kneading helps distribute moisture evenly throughout the dough. This ensures that all the flour particles are hydrated, resulting in a consistent texture and flavor.

It also helps to achieve the desired consistency of the dough, adjusting it from a sticky or shaggy state to a smooth and workable one.

Activation of Yeast: Kneading provides mechanical action that activates the yeast present in the dough. Yeast is a microorganism that ferments the sugars in the dough, producing carbon dioxide gas.

Kneading helps distribute the yeast evenly, promoting fermentation and allowing the dough to rise.

Development of Flavor: Kneading also impacts the flavor of the dough. As the dough is worked, enzymes naturally present in the flour are activated, converting starches to sugars.

These sugars then undergo fermentation by yeast, resulting in the release of various flavorful compounds that contribute to the overall taste of the final baked product.

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Answer:

Explanation:

C

In charging by induction, a charged object is brought near an object without touching it. The presence of the charge object induces electron movement and a polarization of the object. Then conducting pathway to ground is established and electron movement occurs between the object and the ground. During the process, the charged object is never touched to the object being charged.

The torque needed to keep the stick steady, ranked from largest to smallest, would be: highest when the suspended mass is at the far end of the stick, lower when the suspended mass is closer to the pivot point, and lowest when the suspended mass is at the pivot point itself.

To rank the torque needed to keep the stick steady from largest to smallest, we need to consider the factors that affect torque.

Torque is the rotational equivalent of force, and it depends on the distance between the pivot point (the end of the meter stick you are holding) and the point where the force is applied (the suspended mass), as well as the magnitude of the force.

In this scenario, the torque needed to keep the stick steady will be highest when the suspended mass is at the far end of the stick, i.e. as far away from the pivot point as possible.

This is because the greater the distance between the pivot point and the force, the more torque is required to counteract the force's rotational effect. Therefore, the torque needed to keep the stick steady will be highest when the suspended mass is at the end of the meter stick farthest away from the pivot point.

Conversely, the torque needed to keep the stick steady will be lowest when the suspended mass is at the pivot point itself, as there is no rotational effect to counteract in this scenario.

Therefore, the torque needed to keep the stick steady will be lowest when the suspended mass is at the end of the meter stick closest to the pivot point.

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The observed reduction in the volume of the salt solution after shaking suggests that the added water was able to dissolve the salt, resulting in a more compact solution.

A solution is a homogeneous mixture made up of two or more substances that are evenly distributed at a molecular or ionic level. The substance that is present in the largest amount is called the solvent, and the substances that are dissolved in it are called solutes. The solutes can be gases, liquids, or solids.

The process of forming a solution involves the solute particles being surrounded by the solvent particles, which causes the solute particles to become evenly distributed throughout the solvent. The attractive forces between the solvent and solute molecules or ions play a crucial role in determining the concentration of the solution.

Solutions can have a wide range of properties, such as color, density, boiling and melting points, and electrical conductivity, which depend on the identity of the solutes and the solvent. Solutions are an essential part of many chemical, biological, and industrial processes, and understanding their properties and behavior is crucial in many fields of science and technology.

Here in this Question, When salt is added to water, it dissolves to form a saltwater solution. However, the addition of more water than the solubility of salt causes some of the salt to remain undissolved at the bottom of the flask. When the flask is shaken, the salt particles that were initially undissolved become suspended in the solution due to the agitation, thereby reducing the volume of the solution. This is because the suspended particles take up space in the solution, which was initially occupied by the water molecules.

Therefore, The observed decrease in salt solution volume after shaking indicates that the salt was able to dissolve in the additional water, resulting in a more compact solution.

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The range of powers for your camera's zoom lens is approximately 4.9 to 12.5 diopters. This means that the lens can focus on objects at different distances, providing flexibility and versatility when capturing images.

To find the range of powers of your camera's zoom lens, we need to first understand what the terms "focal length" and "power" mean.

Focal length (measured in millimeters) refers to the distance between the lens and the image sensor when the subject is in focus. In your case, the zoom lens has an adjustable focal length ranging from 80.0 to 205 mm.

Power (measured in diopters, or D) is a unit that describes the focusing ability of a lens. It is the inverse of the focal length (in meters). To find the power, we'll use the formula:

Power (D) = 1 / Focal Length (m)

Let's find the range of powers for your camera's zoom lens:

1. Convert the focal lengths to meters: 80.0 mm = 0.080 m, 205 mm = 0.205 m
2. Calculate the power for the minimum focal length: Power (D) = 1 / 0.080 m ≈ 12.5 D
3. Calculate the power for the maximum focal length: Power (D) = 1 / 0.205 m ≈ 4.9 D

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Based on the given information, the diver with a mass of 450 N standing at a height of 20 feet has more gravitational potential energy.

Gravitational potential energy can be calculated using the formula: PE = mgh, where PE represents potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height above a reference point.

In this case, the diver with a mass of 450 N at a height of 20 feet has a greater mass, resulting in a higher gravitational potential energy compared to the diver with a mass of 400 N at the same height.

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Expressing the answer in three significant figures separated by a comma, we get: F⃗ _3 = (-7.99, -6.00) N = (-10.00 N, -38.88°) using newton second law.

To find the third force, we can use Newton's second law, which states that the net force on an object is equal to its mass times its acceleration:

F⃗ _net = m⃗ a⃗

where F⃗ _net is the vector sum of all the forces acting on the object.

We can start by finding the vector sum of F⃗ _1 and F⃗ _2:

F⃗ _1 + F⃗ _2 = (3.06 N)x^ + (-1.62 N)x^ + (1.73 N)y^

= (1.44 N)x^ + (1.73 N)y^

Now, we can find the net force by subtracting the vector sum of F⃗ _1 and F⃗ _2 from the mass times acceleration:

F⃗ _3 = m⃗ a⃗ - (F⃗ _1 + F⃗ _2 )

= (6.10 kg)(1.31 m/s^2 x^ - 0.673 m/s^2 y^) - (1.44 N)x^ - (1.73 N)y^

= (7.99 N)x^ - (6.00 N)y^

Therefore, the third force F⃗ _3 has a magnitude of 10.00 N and is directed at an angle of 38.88 degrees below the positive x-axis:

|F⃗ _3| = √[(7.99 N)^2 + (-6.00 N)^2] = 10.00 N

θ = tan⁻¹(-6.00 N / 7.99 N) = -38.88° (measured below the positive x-axis)

Expressing the answer in three significant figures separated by a comma, we get:

F⃗ _3 = (-7.99, -6.00) N = (-10.00 N, -38.88°)

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Answer:False

Explanation:

Tesla was founded in 2003 by American entrepreneurs Martin Eberhard and Marc Tarpenning and was named after Serbian American inventor Nikola Tesla. Therefore it was not made by Nikola Tesla

The refractive index of the glass material is approximately 1.4226.

To calculate the refractive index of the glass material for the fiber optic cable, you can use Snell's Law and the definition of the critical angle. The critical angle (θc) is the angle of incidence at which the angle of refraction is 90°. In this case, the critical angle is 25°.

Snell's Law: n1 * sin(θ1) = n2 * sin(θ2)

For the critical angle, θ1 = 25°, and θ2 = 90°. The refractive index of air (n1) is approximately 1.

Applying Snell's Law: 1 * sin(25°) = n2 * sin(90°)

Solving for the refractive index (n2) of the glass material:
n2 = sin(25°) / sin(90°)

n2 ≈ 0.4226 / 1

n2 ≈ 1.4226

The refractive index of the glass material is approximately 1.4226.

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The experiment involves comparing the temperatures of two thermometers placed in different atmospheric compositions and exposed to radiant energy. The goal is to track the amount of radiant energy absorbed by each atmosphere over a period of 30 minutes.

Part B of the experiment involves performing the actual experiment by following the given directions.:

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The momentum of one 300-series Shinkansen train at its top speed of 270 km/h is 1.93 x[tex]10^{8}[/tex] kg*m/s.

Whast is Mass?

Mass is a fundamental physical property of matter that quantifies the amount of matter in an object. It is a scalar quantity that measures the resistance of an object to a change in its motion or acceleration, and is typically measured in units of kilograms (kg) in the International System of Units (SI).

The momentum (p) of an object can be calculated using the formula p = mv, where m is the mass of the object and v is its velocity. The mass of the 300-series Shinkansen train is given as 7.10 x [tex]10^{5}[/tex] kg. To calculate its momentum, we need to convert the velocity of 270 km/h to m/s. 270 km/h is equivalent to 75 m/s. Therefore, the momentum of one 300-series Shinkansen train at its top speed is:

p = mv = 7.10 x [tex]10^{5}[/tex] kg x 75 m/s = 1.93 x [tex]10^{8}[/tex] kg*m/s

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The volleyball with a mass of 2100 g and a velocity of 30 m/s will have a kinetic energy of  945 Joules.

1. Mass: It refers to the amount of matter in an object. In this case, the volleyball has a mass of 2100 g, which we need to convert to kg (1 kg = 1000 g), so the mass is 2.1 kg.

2. Velocity: It is the rate of change of an object's position, including both speed and direction. In this example, the velocity of the volleyball is 30 m/s.

3. Kinetic Energy: It is the energy an object possesses due to its motion. To calculate the kinetic energy of an object, we can use the formula: KE = (1/2)mv², where KE is kinetic energy, m is mass, and v is velocity.

To calculate the kinetic energy of the volleyball:

1. Convert the mass of the volleyball to kg.
Mass = 2100 g = 2100/1000 kg = 2.1 kg

2. Use the given velocity of the volleyball.
Velocity = 30 m/s

3. Apply the kinetic energy formula.
KE = (1/2)mv²
KE = (1/2)(2.1 kg)(30 m/s)²

4. Calculate the kinetic energy.
KE = 0.5 * 2.1 kg * (900 m^2/s²) = 945 J (Joules)

In conclusion, the volleyball you serve with a mass of 2100 g and a velocity of 30 m/s has a kinetic energy of 945 Joules.

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During the collision of a planetesimal with a protoplanet, the kinetic energy of the planetesimal can be converted into different forms of energy.

Some of the energy may be converted into thermal energy due to the friction caused by the collision, resulting in an increase in temperature of the colliding bodies.

Additionally, some of the kinetic energy may be converted into potential energy, as the colliding bodies may move away from each other due to the collision.

The potential energy can later be converted back into kinetic energy if the bodies start moving towards each other again.

Finally, some of the energy can be radiated away as electromagnetic radiation, such as light or heat, depending on the specifics of the collision.

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The final volume of the gas, is 0.065 m³.

The work done by the gas is 2.629 kJ.

The final volume of the gas, is calculated as follows;

PV = nRT

where;

P₁V₁ = P₂V₂

V₁ = (nRT)/P₁

V₁ = (2 mol x 8.31451 J/K·mol x 367 K) / (0.6 atm x 101325 Pa/atm)

V₁ = 0.1 m³

The final volume of the gas is calculated as;

V₂ = (P₁V₁)/P₂

V₂ = (0.6 atm x 0.1) / 0.92 atm

V₂ = 0.065 m³

The work done by the gas is calculated as;

W = -∫PdV

W = -nRT ln(V₂/V₁)

W = -(2 mol  x 8.31451 J/K·mol x 367 K) x ln(0.065/0.1)

W = 2,629 J

W = 2.629 kJ

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Answer:

F = 1.25 N

Explanation:

The equation to calculate Gravitational Force is

F = G (m1 . m2) / r^2

where G is gravitational constant, m1 and m2 are the mass of the 2 objects.

So, assuming that the G, m1, m2 is constant, the equation will be

F1 . [tex]r1^{2}[/tex]= F2 . [tex]r2^{2}[/tex]

Therefore,

F2 = F1 .  [tex]r1^{2}[/tex] /      [tex]r2^{2}[/tex]

And finally we just need to find F2 by inserting this value

F1 = 5N

r1 = 10m

r2 = 20m

I hope you can understand, let me know if you need more explanation.

The other force acting on the mass has x- and y-components of 5.27 N and 11.4 N respectively.

Force is the action of one body on another body, which causes it to accelerate, deform, or change direction. It is a vector quantity, meaning it has both magnitude and direction. Forces can be either contact forces, such as friction, or non-contact forces, such as gravity, electric and magnetic forces.

The acceleration of the mass can be broken down into its x- and y-components.
The x-component of the acceleration is:
ax = 5.48 cos(38.0°) = 4.28 m/s2
The y-component of the acceleration is:
ay = 5.48 sin(38.0°) = 3.51 m/s2
The x-component of the force is known and is given as 8.63 N.
The net force acting on the mass can be calculated using the equation:
Fnet = ma
The net force in the x-direction is:
Fnetx = m * ax = 3.25 * 4.28 = 13.9 N
The net force in the y-direction is:
Fnety = m * ay = 3.25 * 3.51 = 11.4 N
The remaining force in the x-direction is:
Fx = Fnetx - 8.63 = 13.9 - 8.63 = 5.27 N
The remaining force in the y-direction is:
Fy = Fnety = 11.4 N
Therefore, the other force acting on the mass has x- and y-components of 5.27 N and 11.4 N respectively.

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Answer:

Q = mcΔT

Where:

Q is the heat energy transferred

m is the mass of the water

c is the specific heat capacity of water

ΔT is the change in temperature

First, let's calculate the heat energy required to raise the temperature of the water:

Q = mcΔT

m = 150 kg (since 1 liter of water is approximately equal to 1 kg)

c = 4186 J/kg°C (specific heat capacity of water)

ΔT = 70°C - 15°C = 55°C

Q = (150 kg) * (4186 J/kg°C) * (55°C)

Q = 346,185,000 J

Now, let's calculate the time using the power of the electric immersion heater:

P = W/t

P = 3000 W (power of the heater)

We can rearrange the formula to solve for time:

t = W/P

t = Q/P

t = (346,185,000 J) / (3000 W)

t ≈ 115,395 seconds

Answer:

According to the only context given, the correct answer is induction.

The horizontal velocity of the golf ball as it rolled off the table was 4.82 m/s.

We can solve this problem using the kinematic equations of motion for constant acceleration, assuming that the only acceleration acting on the golf ball is due to gravity. We can break the motion of the golf ball into two components; a horizontal component and a vertical component.

Let's start with the vertical component of the motion. The vertical distance the golf ball falls from the desk to the ground is 1 meter. We can use the following kinematic equation to find the vertical component of the velocity of the golf ball just before it hits the ground;

d = vit + 1/2 at²

where d is the distance fallen, vi is the initial vertical velocity (which is zero), a is the acceleration due to gravity (-9.81 m/s²), and t is the time it takes to fall 1 meter.

Solving for t, we get;

t = √(2d/a) = √(2 × 1 m / 9.81 m/s²)

= 0.451 s

Now that we know the time it takes for the golf ball to fall 1 meter, we can use the horizontal distance it travels (1.35 meters) and the time it takes to fall (0.28 seconds) to find the horizontal component of the velocity:

v = d / t = 1.35 m / 0.28 s

= 4.82 m/s

Therefore, the horizontal velocity of the golf ball is 4.82 m/s.

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The electric force between the two polythene balls is 1.505 N.

We are given the following information:

The two polythene balls have the same charge.

Each ball has an excess of N = 105 protons.

The balls are initially separated by a distance, d = 1.6 m.

The Coulomb constant is k = [tex]8.988 *10^9 N m^2/C^2.[/tex]

To find the electric force between the two polythene balls, we can use Coulomb's Law:

electric force = [tex]k * (q1 * q2) / d^2[/tex]

where:

- k is the Coulomb constant

- q1 and q2 are the charges of the two polythene balls

- d is the distance between the two polythene balls

Since the two polythene balls have the same charge, we can substitute N for both q1 and q2.

So the equation becomes:

electric force = [tex]k * (N * N) / d^2\\[/tex]

Substituting the given values, we get:

electric force = [tex]8.988 *10^9 N m^2/C^2 * (105 * 105) / (1.6 m)^2[/tex]

electric force = 1.505 N (rounded to three decimal places)

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Answer:

Explanation:

To calculate the energy density of the wire, we need to first calculate the strain energy stored in the wire.

The strain energy stored in the wire can be calculated using the formula:

U = (1/2) * F * deltaL

where U is the strain energy, F is the applied force, and deltaL is the change in length of the wire.

Here, the applied force is 200 N, and the change in length of the wire is 1.5 mm = 0.0015 m.

So, the strain energy stored in the wire is:

U = (1/2) * 200 N * 0.0015 m = 0.15 J

Now, we need to calculate the volume of the wire to determine the energy density.

The volume of the wire can be calculated using the formula for the volume of a cylinder:

V = pi * r^2 * L

where V is the volume, r is the radius, and L is the length of the wire.

Here, the radius of the wire is 1 mm = 0.001 m, and the length of the wire is 10 m.

So, the volume of the wire is:

V = pi * (0.001 m)^2 * 10 m = 7.853 x 10^-6 m^3

Finally, we can calculate the energy density of the wire using the formula:

Energy density = Strain energy / Volume

Energy density = 0.15 J / 7.853 x 10^-6 m^3

Energy density = 19,102,077.34 J/m^3

Therefore, the energy density of the copper wire is 19,102,077.34 J/m^3.

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