A generator connected to the wheel or hub of a bicycle can be used to power lights or small electronic devices. A typical bicycle generator supplies 5.50 V when the wheels rotate at ω = 19.0 rad/s. HINT (a) If the generator's magnetic field has magnitude B 0.550 T with N = 105 turns, find the loop area A (in m 2 m (b) Find the time interval (in s) between the maximum emf of +5.50 V and the minimum emf of-5.50 V

Newton's law of universal Gravity:

F = G * (M1 * M2)/ r^2

Where:

G = gravitational constant = 6.674 x10^-11 Nm^2kg^2

M1 = mass 1 = 45.9 kg

M2 = mass 2 = 5.98 x 10 ^24 kg

r = Distance between the 2 objects = 6.38 x 10 ^6 m

Replacing;

F = 450.048 N

Answer:

a i believe

Explanation:

The electric motor's efficiency is 51.06%.

The majority of electric motors are made to operate between 50% and 100% of rated load. Typically, maximum efficiency is within 75% of rated load. Hence, the allowable load range for a 10-horsepower (hp) motor is between 5 and 10 hp; its peak efficiency is at 7.5 hp. Below roughly 50% load, a motor's efficiency tends to decline significantly.

To calculate the effort required to raise the object, use the formula:

Work = Force x Distance

= m x g x h (where m is the mass of the object, g is the acceleration due to gravity, and h is the height lifted)

= 34 kg x 9.81 m/s² x 11 m

= 3,769.34 J

The energy consumed by the electric motor is given as 7.4 kJ.

Therefore, the input power is:

Input power = Energy consumed / time taken

= 7.4 kJ / t

Efficiency=(Output power/Input power) x 100%

Output power = Work done/time taken

= 3,769.34 J / t

As a result, the electric motor's efficiency is:

Efficiency=(Output power/Input power)x 100%

= [(3,769.34 J / t) / (7.4 kJ / t)] x 100%

= 51.06%.

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332734.34 Joules

Explanation

Kinetic energy is a form of energy that an object or a particle has by reason of its motion and mass, it is represented by the expression

then

Step 1

a) Let

b) now,replace in the formula:

therefore, the answer is 332734.34 Joules

I hope this helps you

Answer: When objects fall to the ground, gravity causes them to accelerate.

Explanation: Gravity causes an object to fall toward the ground at a faster and faster velocity the longer the object falls.

Answer:

Fc= 47.363 N

Explanation:

First, you need tangential velocity because they don't give that to you in the problem.

So, the formula for tangential velocity is υ=2πr/t.

For this problem its v=2π4/10= 2.513 m/s

Then we plug this into our equation for centripetal force

Fc= 30*(2.513)^2/4=47.363 N

Fc=47.363 N

The centripetal force acting on Tommy is 47.36 N if Tommy, who has a mass of 30 kg, sits 4.0 meters from the center of a merry-go-round that is rotating for a period of 10 seconds.

A tangible body's mass is the amount of matter it possesses. It's also a metric of inertia or the resistance to velocity when a net force is exerted.

It is given that:

Tommy, who has a mass of 30 kg, sits 4.0 meters from the center of a merry-go-round that is rotating for a period of 10 seconds.

As we know the formula for the centripetal force:

Fc = mv²/r

m = 30 kg

r = 4 meters

First, find the tangential velocity:

The formula for tangential velocity is:

v = 2πr/t

v = 2π4/10

v = 2.513 m/s

Plug the values in the formula:

Fc= 30(2.513)²/4

Fc = 47.36 N

Thus, the centripetal force acting on Tommy is 47.36 N if Tommy, who has a mass of 30 kg, sits 4.0 meters from the center of a merry-go-round that is rotating for a period of 10 seconds.

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The distance travelled by the car in the first 20 seconds of the motion is 130 m.

The area under the speed-time graph is the distance the particle travels.

The distance traveled by the car in the first 20 seconds is calculated as follows;

From the speed - time graph, at 20 seconds, the speed of the car is 13 m/s.

Distance = area of the graph = area of triangle formed from time, 0 s to 20 seconds.

Distance = ¹/₂bh

where;

Substitute the given parameters and solve for the distance traveled by the car.

Distance = ¹/₂bh

Distance = ¹/₂(20)(13)

Distance = 130 m

Thus, the distance travelled by the car in the first 20 seconds of the motion is 130 m.

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The missing graph is in the image attached.

The velocity of the second ball that was hit by a ball of mass 2.5 kg moving with an initial velocity of 5 m/s is 5 m/s.

Velocity can be defined as the rate of change of displacement.

To calculate the velocity of the second ball after collision, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for V

Hence, the velocity of the second ball is 5 m/s.

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Answer:

1.96m/s^2

Explanation:

According to Newtons second law;

F = ma

a = F/m

a = nR/m

a = nmg/m

a = ng

n is he coefficient of friction = 0.2

g  = 9.8m/s^2

a = 0.2 * 9.8

a = 1.96m/s^2

Hence the acceleration of the box is 1.96m/s^2

Answer:

2min

Explanation:

i think it will be clear from photo

Answer: The formula for current is charge/time

so here we have to change subject so we are asked to look for time  

Explanation: so it would be T=Q/I

T=4/2

T=2s

hope this helpss

Answer:

a closed system is when everything throughout your system is closed and connected. meaning that electricity can flow though without being interrupted or stopped. And open system is when there is a gap in the line somehwrre and not connected. meaning that electricity cant go though completly becuase there is a spot in the system where it's open and being stopped. (kinda like if you were on a bridge but theres a huge hole in it so you can go to the other side)

There are various contrast between an open and closed system as for an open system interaction of mass as well energy takes place but for a closed system only energy interaction takes place

It can be defined as the specified space under consideration for any thermodynamic process. It can have a fixed boundary as well as a moveable boundary. In a thermodynamic system mainly interaction of mass and energy takes place

There are mainly three types of a thermodynamic system

open system

closed system

isolated system

The characteristics of an open system are as follows

an open system is also known as a control volume system

The simultaneous interaction of mass and energy takes place

There is a variation in the mass of the system with time

Examples of open systems are gas turbines, the human body, and air compressor

The characteristics of a closed system are as follows

An open system is also known as a control mass system

There is no interaction of mass of the system with surroundings will take place only he interaction  of energy takes place

The mass of the system  does not change with time

An example of closed system is a simple closed water bottle without insulations

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The magnitude of force experienced by the charge is 36 N.

The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.

Electric charge or magnetic fields with variable amplitudes can produce an electric field. The attraction forces that keep together atomic nuclei and electrons at the atomic scale are brought on by the electric field.

Given that:

Amount of charge: q = + 2 C

Magnitude of electric field  strength: E = 18 N/C.

So, Magnitude of force applied on the charge: F = qE = +2 ×18 N = 36 N.

So, The magnitude of force experienced by the charge is 36 N.

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That's pretty simple, we have;

We know that;

And..

Put all the values;

Therefore, the total time taken will be 92.85 sec.

A structural deficit is a budgetary deficit that results from a fundamental mismatch between a government's expenses and its revenues in the long term. A structural deficit is distinguished from the cyclical deficit, which arises from fluctuations in economic growth.

The structural deficit acts as an automatic stabilizer and increases during recessions. The automatic stabilizer refers to any action or mechanism that assists to reduce the swings in an economy without any intervention from policymakers. One instance of an automatic stabilizer is unemployment compensation. This is because, in an economic downturn, unemployment compensation is increased automatically, which, in turn, improves consumer spending. Structural deficits occur when government spending exceeds revenue collections, which is frequently the result of increased spending or decreased income. In certain cases, the structural deficit is the consequence of a tax system that does not generate sufficient revenue to cover government expenditures. A structural deficit remains the same at full employment and is not the same as a cyclical deficit.

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A decrease in the resistance caused by friction would reduce the amount of force required to move the object.

With less friction, there is less opposition to the motion, allowing for easier and smoother movement of the table across the floor.

This means that you would need to exert less force to achieve the desired displacement of 5 feet.

The decrease in friction enables the object to slide more easily, requiring less effort to overcome the resistance and accomplish the task.

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When measuring distance, you need eight significant figures.

The range of values that can be rationally attributed to a determined quantity by contrasting a parameter with the results of a measurement is represented by uncertainty.

The formula for percent distance uncertainty is as follows:

% Uncertainty = ( uncertainty in distance) / ( original value) × 100

data provided

haziness in the distant, ⁺ 2m

satellite's distance, 20000km

Calculating the percentage of uncertainty in a distance is as follows:

% Uncertainty = ( ⁺ 2m × \(\frac{10^{-3 } km}{1 km}\)) / (20000 km) × 100

= 1 × 10⁻⁵ %

The distance should be converted as follows:

d = (20000km) (10³/1)

= 20000000 km

Uncertainty exists in the distance between the satellite and the Earth, which is:

d = 20000000 km ⁺ 2m

Thus, the measurement of distance requires eight significant figures.

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Correct question:

Global positioning satellites (GPS) can be used to determine your position with great accuracy. If one of the satellites is 20,000 km from you, and you want to know your position to +-2m, what percent uncertainty in the distance is required? How many significant figures are needed in the distance?

The uncertainty in the distance is 1 × 10⁻⁵ % , and eight significant figures are needed in the distance.

The value of theta for the maximum height is 30°.

Calculation:-

Since the angle from the horizontal is Cosθ, therefore the angle from the vertical is sinθ.

Hmax = U² sin²θ/2g

11.25 = 30² sin²θ/2g

sin²θ = (11.25 × 2 × 10)/900

   ⇒    sin²θ   =   0.25

    ⇒   sin θ = 0.5

    ⇒   sin θ = 1/2 = 30°

The horizontal pace of a projectile is regular (in no way converting in value), 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 of 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.

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Answer:

4500N

Explanation:

Force =mass into acceleration

So 1500 into 3 you will get 4500

Answer:

The inner, rocky planets are smaller than the outer, gaseous planets

Explanation:

The relationship between the sizes of the planets and their distances from the Sun is: The smaller planets are closer to the sun while the bigger planets are farther from the sun.

A solar system can be defined as a collection of both the inner and outer planetary bodies alongside the Moon in orbit (travel) around the Sun, in slightly elliptical orbits.  

Basically, the nine (9) planets of the solar system orbiting (traveling) in order of their distance around the Sun are;

Basically, the relationship between the sizes of the planets and their distances from the Sun is that the smaller planets are closer to the sun while the bigger planets are farther from the sun.

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For the reason that the green car's initial velocity and acceleration are equal in both instances, it follows that you could use the time the pink automobile wishes to attain those two factors to write two equations with unknowns, the inexperienced vehicle's.

V0=-14.56m/s

a=-4.96m/s²

A red automobile and an inexperienced car flow in the direction of each different in adjacent lanes and parallel to an x-axis.

At time t = zero, the purple vehicle is at

XR = 0 and the green vehicle is at

Xg = 216 m.

If the red vehicle has a constant velocity of 27.0 km/h, the motors bypass every difference at x = 44.2 m. then again, if the red automobile has a steady velocity of fifty-four. 0 km/h, they skip every difference at

x = 76.7 m.

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Answer:

Potential Energy stored = mgh ; m : mass, g : gravitational acceleration (let 10m/s) , h : height

Hence,

Energy Stored in the ball = mgh = (2*10*4) J

= 80 Joules!

Explanation:

answer is 80 joules

hope it helps

Answer:

54880

Explanation:

Answer:

The electric field strength is dependent upon the quantity of charge on the source charge (Q) and the distance of separation (d) from the source charge.

The time period for the given question would be 1/40 seconds.

Determining time period:

The frequency is 40 Hz. To find the period, t, we can use the formula: T = 1/f where T is the period and f is the frequency. Therefore, T = 1/40 seconds. An explanation is given below with the terms such as period, harmonic oscillations, amplitude, and wave.

What is the time period?

A time period is defined as the time that a wave takes to complete one full cycle of harmonic oscillations. It is the reciprocal of the frequency. The time period is a measure of time taken by a wave to complete one cycle of its motion. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. It is a measure of the strength of the wave.

What is a wave?

The wave is a disturbance that transfers energy through a medium. Waves are characterized by their frequency, wavelength, and amplitude. Harmonic oscillations are the regular and repeated motion of a system about its equilibrium position. They are periodic motions in which the system moves back and forth with a fixed frequency and amplitude.

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The rate of energy consumed by the motor in the crane is 10 kW, which corresponds to option C. 10.0 kW.

First, we need to calculate the work done by the crane to lift the object to the top of the platform. Work = force x distance, so work = 2000 N x 150 m = 300,000 J.

Next, we can calculate the power (rate of energy consumption) using the formula Power = Work / Time. Power = 300,000 J / 30 s = 10,000 W = 10.0 kW.

Therefore, the answer is C. 10.0 kW.
To calculate the rate of energy consumed by the motor in the crane, we'll first find the work done and then divide it by the time taken.

Work done (W) = Force (F) x Distance (d)
W = 2000 N x 150 m
W = 300,000 J (joules)

Now, we'll find the power (P) by dividing the work done by the time taken (t).

Power (P) = Work done (W) / Time (t)
P = 300,000 J / 30 s
P = 10,000 W

Since 1 kW = 1000 W, we can convert the power to kilowatts:
P = 10,000 W / 1000
P = 10 kW

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Answer:

4200 Newtons

Explanation:

Force = mass x acceleration

1200 x 3.5 = 4200

We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.

This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.

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The rate of a reaction is affected by several factors, including activation energy, temperature, frequency of collisions, and orientation of collisions.

A. Activation energy: The activation energy is the minimum energy required for a reaction to occur. If the reactant molecules do not have enough energy to overcome the activation energy barrier, the reaction will not occur.

B. Temperature: Increasing the temperature of the reaction increases the kinetic energy of the molecules, which means they move faster and collide more frequently.

C. Frequency of collisions: The rate of a reaction is directly proportional to the frequency of collisions between the reactant molecules.

D. Orientation of collisions: For a reaction to occur, the reactant molecules must collide with the proper orientation. If the orientation is incorrect, the molecules will not react.

Activation energy is a term used in physics and chemistry to describe the energy required for a chemical reaction to occur. In a chemical reaction, the reactants need to overcome an energy barrier before they can react and form products. This energy barrier is known as the activation energy.

Activation energy is usually represented by the symbol Ea and is measured in joules or kilojoules per mole. The activation energy can be thought of as the minimum amount of energy required to start a chemical reaction. Once this energy barrier is overcome, the reaction can proceed without the need for additional energy input. The activation energy is influenced by a variety of factors, including temperature, pressure, and the nature of the reactants and products involved in the reaction.

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Answer:

The resulting speed of the ball is;

10 m/s

Explanation:

The given parameters are;

The amount of work done by the lever = 5.0 J

The mass of the ball on which the work is done, m = 0.10 kg

By the principle of conservation of energy, we have;

The work done by the lever = The kinetic energy. K.E., gained by the ball

The kinetic energy, K.E., is given by K.E. = 1/2·m·v²

Where, for the ball, we have;

m = The mass of the ball

v = The resulting speed of the ball

Therefore, by substituting the known values, we have;

The work done by the lever = 5.0 J = The kinetic energy. K.E., gained by the ball =  1/2 × m × v² =  1/2 × 0.10 kg × v²

∴ 5.0 J = 1/2 × 0.10 kg × v²

v² = 5.0 J/(1/2 × 0.10 kg) = 100 m²/s²

v = √(100 m²/s²) = 10 m/s

The resulting speed of the ball, v = 10 m/s.