a 3.0-cm by 5.0-cm rectangular coil has 100 turns. its axis makes an angle of 55° with a uniform magnetic field of 0.35 t. what is the total magnetic flux through this coil?

Answer:

F=ma

3.07=1.35(a)

3.07/1.35 = a

a=2.27m/s^2

Explanation:

Since the question gives us both the force and mass of the object we can use the f= ma equation and just plug in both the force and mass and just solve for acceleration. I believe the degree listed in the question is just there to throw you off.

Answer: :’)

Explanation:

Answer:

length

Explanation:

Here the focal length of the convex mirror as -12 cm, a light bulb with a diameter of 6 cm is placed 60 cm from the mirror. Hence, the image distance is -60 cm, and the image height is 6 cm.

To find the image distance and height, we will use the mirror formula for a convex mirror, which is given as follows;1/f = 1/v + 1/u. Where, f = focal length of the convex mirror;

v = the image distance;

u = the object distance

If the object distance is positive, it means the object is placed in front of the mirror, and if it is negative, it means the object is placed behind the mirror. The focal length of a convex mirror is always negative, as given above.

Therefore, u = -60 cm and f = -12 cm.

Plugging in the values in the mirror formula, we get:1/-12 = 1/v + 1/-60=> -5/60 = 1/v - (1/60) => -5/60 = (60 - v)/60=> v = -300/5= -60 cm

The image distance is -60 cm, which means the image is virtual and erect. The negative sign indicates that the image is formed behind the mirror.

To find the image height, we use the magnification formula:

m = -v/u= -(-60)/(-60)= 1

The magnification is 1, which means the image is of the same size as the object. The height of the light bulb is 6 cm, so the height of the image will also be 6 cm.

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Answer:

Equality is the state of being equal in rights word and oportunities

The horizontal velocity of the projectile it leaves the launcher is 0.283 m/s.

The horizontal speed of a projectile is regular, and there's a vertical acceleration because of gravity; its cost is 9.8 m/s/s, down, The vertical speed of a projectile changes via nine.8 m/s every second, The horizontal motion of a projectile is impartial to its vertical movement.

Projectile motion is a form of motion experienced with the aid of an object or particle that is projected in a gravitational field, such as from Earth's floor, and movements alongside a curved route below the action of gravity best.

Projectile motion is the movement of an object thrown (projected) into the air. After the initial force that launches the item, it most effectively reports the pressure of gravity. The object is known as a projectile, and its route is called its trajectory.

Calculation:-

Horizontal distance = 40 cm

                          = 0.4 m

height of table = 10 m

Let vertical velocity is 0.

S = ut +1/2 at²

10 = 0 + 0.5 × 10 t²

t² = 10/5

t    = 1.414 sec.

At the same time, it will take to cover a horizontal distance of 0.4 m.

Velocity = distance/time

                = 0.4/1,414

                  = 0.283 m/s

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Answer:

There are two fundamental types of generators known as AC (alternating current) and DC (direct current) generators. While the technique of producing electricity is the same in both types, AC and DC power become different in terms of their applications – the way in which loads receive electric power.

Explanation:

An electric generator is a device that converts mechanical energy obtained from an external source into electrical energy as the output. ... Instead, it uses the mechanical energy supplied to it to force the movement of electric charges present in the wire of its windings through an external electric circuit.

Answer:

26 a weight of 2on stretcges

The steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.

A balanced chemical equation is defined as a formula where both the reactants and the products have the same amount of atoms of each kind.

It can also be defined as an equation for a chemical reaction that accounts for the overall charge and the number of atoms for each reacting element.

Steps for balancing the chemical equation

Thus, the steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.  

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Explanation:

Newton second law of motion

Answer:

Mars

Explanation:

It would be Mars because Mars has the least mass out of al the planets in the Solar System, and that would affect its gravitational pull.

I hope it helps! Have a great day!

Anygays-

c) None of these. Given that the nucleus is known to be an isotope of lead, we can infer that it has the same atomic number as lead, which is 82.

The atomic number of an element is the number of protons in the nucleus of an atom. It is a unique identifier for each element and determines its position in the periodic table. The atomic number defines the element's chemical properties and determines its identity.

However, without additional information, we cannot determine the specific neutron number or atomic mass number of the isotope. Different isotopes of lead can have varying numbers of neutrons, resulting in different atomic mass numbers. Therefore, the neutron number and atomic mass number cannot be specified solely based on the information provided.

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Answer:

mehoy noy

Explanation:

Explanation:

.Flame retar,dant plastic additi,ves are compounds added to plastics and other materials to inhibit, suppress or de,lay combustion. These compounds are useful in impending burning in the ign,ition phase of fire. They do not prevent char,ring or melting nor do they increase the heat resistance of a material

a) The frequency of fundamental mode of vibration of steel piano is 400Hz.

b) The number of the highest harmonic that could be heard by a person is 24ᵗʰ.

In the given question we have,

lenth of steel piano wire (L) = 0.4 m

tension/ force on steel piano (T) = 800N

mass of steel piano (m) = 3g = 0.003 kg

We shall find out the frequency of fundamental mode of vibration of steel piano.

Fundamental Frequency of object depends on wave speed in turn which depend on tension .

Using Fundamental Frequency,

f₁ = v/2L

where , v---> wave speed

f₁ ---> fundamental frequency

L ---> length of wire

Firstly, we have to find out the value of wave speed.

For determining the wave speed we use following relation,

v = sqrt ( T/ μ )

where, v---> wave speed

T ---> Tension or force

μ ----> mass per unit length = m/L

Now, put all given values in formula

μ = m/L = 0.003/0.4 kg/m =

v = √800×0.40/(3× 10⁻³) = 327m/sec

fundamental frequency (f₁) = 327/(2×0.4 )

= 400Hz

b) The nth harmonic has frequency , fₙ = n f₁

wher, f₁---> fundamental frequency

fₙ----> highest frequency

n ----> harmonic number

fₙ = 10,000 Hz , f₁ = 409Hz

put in above formula, 10,000 = n × 409

=> n = 100/4 = 24.4

So, 24th harmonic is the highest harmonic that could be heard by a person who is capable of hearing frequenies upto 10,000Hz.

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Answer:

1. Voltage across 600 pF is 10 V.

2. Voltage across 300 pF is 20 V.

3. Voltage across 200 pF is 30 V.

Explanation:

We'll begin by calculating the total capacitance of capacitor. This can be obtained as follow:

Capicitance 1 (C₁) = 600 pF

Capicitance 2 (C₂) = 300 pF

Capicitance 3 (C₃) = 200 pF

Total capacitance (Cₜ) =?

1/Cₜ = 1/C₁ + 1/C₂ + 1/C₃

1/Cₜ = 1/600 + 1/300 + 1/200

1/Cₜ = 1 + 2 + 3 / 600

1/Cₜ = 6/600

1/Cₜ = 1/100

Cₜ = 100 pF

Next, we shall convert 100 pF to Farad (F). This can be obtained as follow:

1 pF = 1×10¯¹² F

Therefore,

100 pF = 100 pF × 1×10¯¹² F / 1 pF

100 pF = 1×10¯¹⁰ F

Thus, 100 pF is equivalent to 1×10¯¹⁰ F.

Next, we shall determine the charge. This can be obtained as follow:

Voltage (V) = 60 V

Capicitance (C) = 1×10¯¹⁰ F

Charge (Q) =?

Q = CV

Q = 60 × 1×10¯¹⁰ F

Q = 6×10¯⁹ C

1. Determination of the voltage across 600 pF.

Capicitance 1 (C₁) = 600 pF = 6×10¯¹⁰ F

Charge (Q) = 6×10¯⁹ C

Voltage 1 (V₁) =?

Q = C₁V₁

6×10¯⁹ = 6×10¯¹⁰ × V₁

Divide both side by 6×10¯¹⁰

V₁ = 6×10¯⁹ / 6×10¯¹⁰

V₁ = 10 V

2. Determination of the voltage across 300 pF.

Capicitance 2 (C₂) = 300 pF = 3×10¯¹⁰ F

Charge (Q) = 6×10¯⁹ C

Voltage 2 (V₂) =?

Q = C₂V₂

6×10¯⁹ = 3×10¯¹⁰ × V₂

Divide both side by 3×10¯¹⁰

V₂ = 6×10¯⁹ / 3×10¯¹⁰

V₂ = 20 V

3. Determination of the voltage across 200 pF.

Capicitance 3 (C₃) = 200 pF = 2×10¯¹⁰ F

Charge (Q) = 6×10¯⁹ C

Voltage 3 (V₃) =?

Q = C₃V₃

6×10¯⁹ = 2×10¯¹⁰ × V₃

Divide both side by 2×10¯¹⁰

V₃ = 6×10¯⁹ / 2×10¯¹⁰

V₃ = 30 V

The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

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The normal force acting on the mountain goat is 650 N. It supports the weight of the goat and keeps it in equilibrium on the slope.

The normal force is the force exerted by a surface to support the weight of an object resting on it. It acts perpendicular to the surface. In this case, the mountain goat is standing on a slope.

When an object is on an inclined surface, the normal force can be split into two components: one perpendicular to the slope (normal to the surface) and one parallel to the slope (tangential to the surface).

The component parallel to the slope is responsible for counteracting the gravitational force pulling the object down the slope.

In this scenario, the mountain goat is standing on the slope, and we can assume it is in equilibrium, meaning it is not sliding down the slope. Therefore, the parallel component of the normal force is equal in magnitude and opposite in direction to the gravitational force acting down the slope.

The weight of the mountain goat is given as 650 N. This is the magnitude of the gravitational force acting on the goat.

The normal force acting on the goat is equal in magnitude but opposite in direction to the gravitational force. So the normal force is also 650 N.

The normal force acting on the mountain goat is 650 N. It supports the weight of the goat and keeps it in equilibrium on the slope.

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The speed of the rolling ball having a kinetic energy of 98J and a mass of 4kg is 7m/s.

Kinetic energy is simply the energy a body possesses due to its motion;

It is expressed as;

K.E = 1/2 × m × v²

Where m is mass and v is the velocity of the body.

Given the data in the question;

Plug the given values into the Kinetic energy formular and solve for v.

K.E = 1/2 × m × v²

98kgm²/s²  = 1/2 × 4kg × v²

98kgm²/s²  = 2kg × v²

v² = 98kgm²/s² / 2kg

v² = 49kgm²/s²

v = √( 49kgm²/s² )

v = 7m/s

Therefore, the speed of the ball is 7 meters per second.

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It is more likely that the truck driver was not paying attention and did not begin braking until it was too late. Therefore, the truck driver is at fault.

In order to assess the claims of the two drivers and provide expert witness testimony, we need to determine the coefficient of kinetic friction between the tires and the road for both the car and truck, as well as the speeds of each vehicle just before and after the collision. Additionally, the pre-crash angle between the velocities of the truck and car, as indicated by the provided specifications and measurements, must be taken into consideration.

The coefficient of kinetic friction between the tires and the road for the car is given by:μcar = Ff,car / Ncarwhere Ff,car is the frictional force exerted on the car by the road, and Ncar is the normal force exerted by the road on the car.Since the car is moving at a constant velocity, the frictional force exerted on the car is equal to the force required to drag the car tire across the pavement, which is 100 N. Thus,

μcar = Ff,car / Ncar = 100 / 130 = 0.7692

For the truck, the effective coefficient of friction for truck tires is only 70% that of car tires. Thus,μtruck = 0.7 * μcar = 0.7 * 0.7692 = 0.5384The speed of each vehicle just after the collision is determined using the equation:v² = u² + 2aswhere v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. For the car,

v² = 0 + 2 * μcar * g * d = 2 * 0.7692 * 9.81 * 8.2 = 126.09v = √(126.09) = 11.22 m/sFor the truck,v² = 0 + 2 * μtruck * g * d = 2 * 0.5384 * 9.81 * 11 = 118.84v = √(118.84) = 10.90 m/s

The speed of each vehicle just before the collision is determined using the conservation of momentum and the given information that the pre-crash angle between the velocities of the truck and car was 90 degrees. Let m1 be the mass of the car, m2 be the mass of the truck, u1 be the initial velocity of the car, u2 be the initial velocity of the truck, v1 be the final velocity of the car, and v2 be the final velocity of the truck.

Then, m1u1 + m2u2 = m1v1 + m2v2 (1) and, m1v1² + m2v2² = m1u1² + m2u2² (2)The angle between the velocities is 90 degrees, so their dot product is zero. Thus, u1u2 + v1v2 = 0 (3)

Solving for u1 and u2 in terms of v1 and v2 using equations (1) and (3) yields:u1 = (m1v1 + m2v2) / m1u2 = -m1v2 / m2Substituting these into equation (2) and simplifying yields:

v1² = [2m2 / (m1 + m2)] (u2² + 2gdsinθ) where θ is the angle that the truck skidded and is given by:θ = tan-1(8.2 / 27) = 17.20 degreesSubstituting the given values into this equation yields:v1² = [2 * 69700 / (13600 + 69700)] (6.7² + 2 * 9.81 * 13 * sin(17.20)) = 593.23v1 = √(593.23) = 24.35 m/s

Similarly, solving for v2 using equation (3) yields:v2 = -u1 * m2 / m1 = (13600 / 69700) * 24.35 = 4.73 m/sThus, the car was traveling at 24.35 m/s just before the collision, and the truck was traveling at 4.73 m/s just before the collision.The car driver claims to have made a full stop at the light before entering the intersection. However, the distance from the traffic light to the collision point was measured to be 13.0 m, and the maximum acceleration of the car is given as 3.0 m/s². Using the equation:s = ut + (1/2)at²

where s is the distance traveled, u is the initial velocity, t is the time, and a is the acceleration, the time it would take for the car to accelerate from rest to the speed it was traveling just before the collision is:t = √(2s / a) = √(2 * 13 / 3) = 2.27 s

This means that the car could not have been stopped at the traffic light for the duration claimed by the driver.

Thus, the truck driver's claim that the car ran the flashing red light is more credible.The truck driver claims to have begun braking in anticipation of a collision and was traveling at only 6.7 m/s at the moment of impact. The speed of the car just before the collision was determined to be 24.35 m/s.

The fact that the truck skidded further than the car indicates that the truck driver was traveling at a higher speed. Furthermore, the truck driver was traveling at a speed of 6.7 m/s at the moment of impact, which is higher than the speed at which the car would have been traveling if it had been stopped at the traffic light (4.58 m/s).

Thus, it is more likely that the truck driver was not paying attention and did not begin braking until it was too late. Therefore, the truck driver is at fault.

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Answer:

degree

liquid

mass-volume

Explanation:

they are made up of rock and gas

Answer:

Hydrogen and Helium. 75% Hydrogen and 25% Helium.

Explanation:

ANSWER:

1) angular momentum

STEP-BY-STEP EXPLANATION:

The moment the ice skater pulls her hands, she begins to spin slower, then turns very fast when she brings her arms out to her sides.

Here we can see applied the fundamental law of conservation of angular momentum. where rotational speed and shape are related, therefore there is no change in angular momentum.

When two or more cars arrive at an intersection at approximately the same time, the general rule is that the car on the right has the right of way.

However, if the cars are directly across from each other and there is no clear right or left, then the car that is already in the intersection has the right of way. In situations where there is still confusion, it is always best to proceed with caution and communicate with other drivers to ensure a safe and orderly flow of traffic.
When two or more cars arrive at an intersection at approximately the same time, the question of "who goes first?" depends on several factors.
1. Check for traffic signs or signals: Follow the rules indicated by stop signs, yield signs, or traffic signals to determine the right of way.
2. Right of way at a four-way stop: If it is a four-way stop, the first car to come to a complete stop has the right to proceed. If multiple cars stop at the same time, the car furthest to the right has the right of way.
3. Right of way at a T-intersection: If it is a T-intersection (three-way stop), the car on the through road has priority over the car on the terminating road.
Remember, always prioritize safety and ensure all drivers are aware of their turn before proceeding through the intersection.

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The centripetal force (Fc) of the ball is 0.64N.

Centripetal force is the force on a rotating or orbiting body in the direction of the centre of rotation.

Centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.

Centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) as follows:

Fc = mv²/r

Where;

According to this question, a boy spins a ball on a string over his head with a rotational velocity of 6.3m/s. The length of the string is 0.50 m and the mass of the ball is 0.008 kg. The centripetal force is as follows:

Fc = 0.008 × 6.3²/0.5

Fc = 0.31752 ÷ 0.5

Fc = 0.64N

Therefore, 0.64N is the centripetal force of the ball.

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Two vectors of unequal, non-zero magnitude cannot add up to give a vector with zero magnitudes. The sum of two non-zero vectors will always have a magnitude greater than zero.

This is because the magnitude of a vector represents its length or size, and adding two non-zero vectors will result in a vector with a combined length that is at least as large as the individual vectors.

Similarly, three unequal vectors cannot add up to give a vector with zero magnitudes. The addition of vectors follows the triangle rule or parallelogram rule, where the resultant vector is determined by connecting the tails of the vectors and drawing a line from the first tail to the tip of the last vector. The magnitude of the resultant vector will be equal to or greater than the sum of the magnitudes of the individual vectors.

However, there is an exception to this. If the three vectors form a closed triangle, where the sum of the three vectors equals zero, then the resultant vector will have zero magnitudes. This is known as the condition of vector equilibrium. In this case, the magnitudes and directions of the vectors must be carefully balanced to cancel each other out and create a closed geometric shape.

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The rate at which heat is transferred per meter width from both sides of the flat plate can be calculated using the convective heat transfer coefficient and the temperature difference between the plate and the surrounding air.

The heat transfer per meter width from both sides of the flat plate can be determined using the convective heat transfer equation:

Q = h * A * ΔT

where Q is the heat transfer rate, h is the convective heat transfer coefficient, A is the surface area of the plate, and ΔT is the temperature difference between the plate and the surrounding air.

First, we need to calculate the convective heat transfer coefficient. This can be done using empirical correlations or experimental data specific to the flow conditions. For simplicity, let's assume a convective heat transfer coefficient of 25 W/(m^2·K).

Next, we calculate the surface area of the plate. Since we are interested in the heat transfer per meter width, we only need to consider the width of the plate. Let's assume a width of 1 meter.

Now, we calculate the temperature difference between the plate and the surrounding air. The plate is maintained at 30°C, and the air is at 20°C. Therefore, the temperature difference is ΔT = 30°C - 20°C = 10°C.

Finally, we can plug these values into the convective heat transfer equation:

Q = 25 W/(m^2·K) * 1 m * 10°C = 250 W/m

Therefore, the rate at which heat is transferred per meter width from both sides of the flat plate is 250 W/m.

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Answer:

Force = mass x acceleration

Explanation:

According to the Newton's second law, the net force acting on the object is proportional to the rate of change of momentum of the body.

So, Force is given by

F = m a

where, F is the force, m is the mass and a is the acceleration.

when the mass is more, the acceleration is less as the force applied by the truck is same.

Answer:

2,250 seconds or 37.5 minutes

Explanation: