A convex mirror forms an image of half the size of the object. When it is moved 15 cm away from the object, the size of the image becomes 2/5 times the size of object. Find the focal length of convex mirror. Answer is 30.
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D) Amplitude is increasing from A to E. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. As we move from wave A to wave E, the maximum displacement of the wave increases, indicating that the amplitude is increasing.

Equilibrium position is a state of balance in which the forces acting on an object are equal and opposite, resulting in no net force and no acceleration. This means that the object is not moving and is in a stable position. In physics, equilibrium is a state of balance between two or more forces, such as gravity, friction, and tension. When an object is in equilibrium, the sum of all forces acting on it is zero. Examples of equilibrium positions include a book resting on a table, a ball suspended in mid-air, and a person standing still.

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When the number of loops in the coil are decreased then the  magnetic field of that solenoid will also decrease as magnetic field  is directly proportional to the no of loops or current.

An electromagnetic coil is a coil-shaped electrical conductor, such as a wire (spiral or helix). In electrical engineering, magnetic coils are utilized in things like electric motors, generators, inductors, electromagnets, transformers, and sensor coils, where electric currents and magnetic fields interact.

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The complete question is:

Set the voltage on the battery to 10V by dragging the slider switch all the way to the right. 4. Now use the control panel to decrease the number of loops in the coil from 4 down to 3, then 2 loops and then 1 loop. What happens to the magnetic field when the number of loops in the coil are decreased?

B I U Score: 0/2 5. Increase the number of loops in the coil to solenoid?

Ahmed should use Dish A because it has greater exposed surface area than Dish B, hence the hot water vapour from the jelly will evaporate faster and the jelly will cool faster.

Evaporation is the process through which water gains heat and escape from the liquid surface in form of vapour.

There are three basic factors that affects the rate of evaporation, and they include;

The greater the exposed surface area of the container, the greater the rate of evaporation.

The exposed surface area of Dish A is calculated as;

A = 30 cm x 45 cm

A = 1,350 cm²

The exposed surface area of Dish B is calculated as;

B = 15 cm x 40 cm

B = 600 cm²

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The increase in its potential energy is zero.

Potential energy is only transferred when matter is moved in the direction of a conserving force. These include the force of gravity, the force of an electric field, and the force exerted by a spring or other elastic material.

If an object's height does not change, then there will be no increase in potential energy. There is no conservatism in friction. That's why there wouldn't be any change in potential energy if the aforementioned motion took place against a frictional force. The only form of energy change that would occur is an increase in kinetic energy, as the motion indicated above would cause the object's speed to change.

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To find the number of revolutions the tire makes during this motion, we need to calculate the distance traveled by the tire and divide it by the diameter of the tire.

First, we need to find the distance traveled. This can be calculated using the formula:

distance = (initial velocity + final velocity)/2 * time = (0 + 21.4 m/s)/2 * 5.1s = 110.7m

Next, we need to convert the diameter of the tire from cm to m.

diameter = 38.2 cm / 100 cm/m = 0.382 m

Now we can calculate the number of revolutions by dividing the distance traveled by the diameter of the tire:

revolutions = distance / diameter = 110.7m / 0.382 m = 290.64

Therefore, the tire makes 290.64 revolutions during this motion

Note that it is assuming that the tire is not slipping. When the tire is slipping, this result can be different.

Both the darts hits the ground at the same time, because acceleration is the same.

Why is air resistance a force?

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The friend  feels scared when the roller coasters falling down but he is fine during uphill. This is natural.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

The friend says that roller coasters scare him, but only when they are accelerating and adds that once they start slowing down, he is fine. It refers that he feels scared when the roller coasters falling down but he is fine during uphill. This is natural.

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The distance between the 7th and the tenth second is 29.4 m.

We know that we can have to formulate the information that has been given here so as to obtain a proper progression and this would help us to get the common difference of the progression that we are looking at.

Now we know that the progression would look something like; 4.9, 14.7, 24.5 ....

We can see that this is an arithmetic progression that has a common difference of 9.8.

U7 = a + (n - 1)d

a = first term

n = Number of terms

d = common difference

U7 = 4.9 + (7 - 1) 9.8

= 63.7

U10 = 4.9 + (10 - 1) 9.8

U10 = 93.1

Between the 7th and 10th seconds, we have;

93.1 - 63.7

= 29.4 m

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In a plane mirror, the angle of equal to the angle in reflection both are identical. The law of reflection refers to this.

The law of reflection states that when a wave reflects off a surface, the angle of incidence is equal to the angle of reflection. This law applies to all types of waves, including light, sound and water. The incident wave and the reflected wave lie in the same plane, with the angle of incidence being measured between the incident wave and the normal vector (a line perpendicular to the surface of reflection). The normal vector and the reflected wave form the angle of reflection.

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If a pulse covers a distance of 5 meters in 15 seconds,  the speed of the pulse is 0.33 meter/second.

Speed is characterized as the rate at which an object's position changes in any direction.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Distance covered by pulse = 5 meters.

Time interval = 15 seconds.

So, the speed of the pulse is = Distance covered/ Time interval

= 5 meters / 15 seconds

= 1/3 meter/second

= 0.33 meter/second.

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Amy is right in saying that blowing the tea will cool it down.

When you blow on a hot liquid, such as tea, the air you blow over the surface of the liquid carries away some of the heat energy from the liquid. This causes the liquid to cool down. The cooling effect is greater the greater the difference in temperature between the liquid and the air.

Blowing on a hot object cools it down by increasing the rate of heat transfer from the object to the surrounding air. Heat is transferred from a hotter object to a cooler one through conduction, convection, and radiation. When you blow on a hot object, the air you blow over the surface of the object carries away some of the heat energy from the object through the process of convection.

So, blowing on the tea will help cool it down faster which means Amy is correct in suggesting that blowing on the tea can help cool it down.

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The friction force acting on the bag is 19.1 N. The result is obtained by using Newton's first law.

Newton's first law states that every object will remain at rest or keep constantly moving in a straight line unless an external force acts upon it.

The equation of Newton's first law can be expressed as

∑F = 0

Where ∑F is net force.

A man drag a bag of mulch at a constant speed.

The given parameters are

Find the friction force (fs) acting the bag!

See the illustration picture in the attachment!

We calculate the parallel forces to find fs.

The mulch is moving at a constant speed. It means that the net force is zero.

∑F = 0

F cos θ - fs = 0

F cos θ = fs

fs = 22.5 × cos 32°

fs = 22.5 × 0.85

fs = 19.1 N

Hence, the friction force is 19.1 N.

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The minimum value of the coefficient of static friction is 0.87.

The minimum value of the coefficient of static friction is calculated by applying the formula for Newton's second law of motion as shown below.

Mathematically, the formula for Newton's second law of motion is given as;

F (net) = ma

Wsin (θ) - μW cos (θ) = ma

Where;

Wsin (θ) - μW cos (θ) = ma

mgsin (θ) - μmg cos (θ) = ma

gsin (θ) - μg cos (θ) = a

If the block is stationary, then acceleration of the block = 0

gsin (θ) - μg cos (θ) = 0

μgcos (θ) = gsin (θ)

μ =  gsin (θ) / gcos (θ)

μ =  sin (θ) / cos (θ)

μ =  tan (θ)

The minimum value of the coefficient of static friction is calculated as;

μ =  tan (41)

μ =  0.87

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At interval (0, 2) and (6, 10),  the acceleration will be increasing.

Acceleration is the rate of change of velocity with respect to time.

The acceleration is given by y = 7*sin( x*[tex]\pi[/tex]/4).

to find at which interval the acceleration is increasing,

First, let's study about the sin function:

Sin(θ) increases between -[tex]\pi[/tex]/2 and [tex]\pi[/tex]/2

Sin(θ) decreases between [tex]\pi[/tex]/2 and (3/2)*[tex]\pi[/tex].

Here we have:

θ = x*([tex]\pi[/tex]/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = [tex]\pi[/tex]/2 = x*([tex]\pi[/tex]/4)

x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*[tex]\pi[/tex] = x*([tex]\pi[/tex]/4)

(3/2)*[tex]\pi[/tex]*(4/[tex]\pi[/tex]) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only defined until x = 10,

Therefore

the correct option is: (0, 2) and (6, 10)

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The charge on the second sphere is -9.6×10⁻⁶ C.

The force of attraction or repulsion between two charged things is directly proportional to the product of their charges and inversely proportional to the square of their distance, according to Coulomb's law.

Given, Q1 = +2.3 x 10⁻⁶ C

distance, r = 2m

attraction force, Fa = 0.05N

now by using Coulombs law,

Fa = k×Q1×Q2/r

0.05 =  9×10⁹×2.3 x 10⁻⁶ × Q2 /2

Q2 = 2×0.05/ 9×10⁹×2.3 x 10⁻⁶

Q2 = 9.6×10⁻⁶ C.

Since it is an attractive force therefore charges will be opposite,

The charge on the second sphere is -9.6×10⁻⁶ C.

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Answer: The correct answer is C. It is a series of organized steps that one can use to answer a question or solve a problem

Explanation: The scientific method is a system of gathering and analyzing data that is used to answer questions and form theories. It includes steps such as formulating hypotheses, conducting experiments, collecting data, analyzing data, and forming conclusions. It is a useful tool for scientists to investigate and understand the world around them.

In order to find the magnitude of the electric field at the origin, you need to use the equation E = q/4πεr², where q is the charge, ε is the permittivity of space, and r is the distance from the origin.

To calculate the electric field, you must first determine the charge of the particle, then determine the distance to the origin, and finally, use the equation to calculate the magnitude of the electric field.

Once you have the magnitude of the electric field at the origin, you can then use it to explore the behavior of other electric fields in the area.

To calculate the magnitude, you must first determine the values of k, q, and r, then plug them into the equation and solve. The resulting answer will be the magnitude of the electric field at the origin.

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If energy costs 10 cents per kWh, it will cost Rs. 30 to heat a tank of water for 80 minutes using a 3000 W immersion heater.

Hours Used Per Day: Indicate the average number of hours per day that the device is used. If the daily power usage is less than one hour, enter the number as a decimal. (For instance, 30 minutes a day equals 0.5)

Your home's water is heated by a water heater so that you can have hot water for your everyday needs. Modern, more efficient kinds of electric water heaters may only need to operate for two hours every day instead of the standard three hours. Around 4000 watts are typically required for a water heater.

Cost Per Hour: (3000*100*60)/(80*3600)

Cost Per Hour: 30.

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Correct Question:

Calculate the cost of heating a tank of water with a 3000 W immersion heater for 80 minutes if electricity costs 10 cents per kWh.

In engineering field and the Physics of elasticity, compressibility is the inverse of bulk modulus

Compressibility in a lay man language can be refer to the application of pressure on an object in order to reduce the size of the object.

But in the field of engineering, compressibility can simply be define as a reciprocal of bulk modulus of an elastic material.

Bulk Modulus = Force / Area in which the S.I unit will be N/m²

Since compressibility is the inverse of bulk modulus, its S.I unit will be reciprocal of the bulk modulus unit. That is,

m²/N which is also known as Byjus

Therefore, the S.I unit of compressibility is Byjus

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Answer:

Aaaasaasaaaaaaaaaaaaaaaaaaaaaaaaa

The required solutions of both part of the question are a)  t = 2.83 s, b) 27.7 m/s.

The fundamental equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, or F = ma.

According to question:

a.) Before commencing the calculation, we need to specify the information.

Data:

acceleration dues to gravity, g = 9.81 m/s²

initial velocity u = 1.7 m/s

height, s = 45 m

t = ?

The formula for finding the distance is s = ut + 1/2at²

Therefore, 45 = 2t + 1/2×(9.81) ×t²

                 90 = 4t + 9.81 t²

Solving for t by the quadratic equation gives t = 2.83 s [Note the other negative value for t is rejected because there is no negative time]

b) The final velocity is given by the following equation:

v = u + at

where v = final velocity just before the camera lands on the ground

           u = initial velocity

           t = time taken

           a = g = acceleration dues to gravity = 9.81 m/s²

Calculating gives

v = 2 + 9.81×2.83

= 27.7 m/s Ans

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Answer:

is a

Explanation:

EVs lack an internal combustion engine, also confusingly referred to as BEVs (battery electric vehicles), which transform gasoline into propulsion power.

Instead, they only use the power from one or more sizable batteries to operate. When it comes to EVs, hybrids were the first significant market entrant, especially after the Prius' international launch in the early 2000s. These cars mastered the technique of alternating between an internal combustion engine and an electric motor to increase fuel efficiency. A plug-in hybrid electric vehicle (PHEV) is designed to run on both gas and battery power and is essentially a hybrid of an EV and an HEV. The main distinction is that they are more EV-like because the power is provided via plug-in chargers.

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The force exerted by the biceps muscle would be equal to the weight of the carton of milk, which is 2.00 kg or 19.6 Newtons of force.

What is the force?

Force is an action that can cause an object to move, stop, or change its direction or shape. It is defined as a vector quantity, meaning it has both magnitude and direction. Forces can be either contact forces, like pushing or pulling, or forces at a distance, such as gravity, electricity, or magnetism.

Assuming the arm is straight out from the body and the length of the arm is 30 cm, the force exerted by the biceps muscle would be approximately 20 Newtons.

In this case, the force is equal to the weight of the carton of milk (2.00 kg) multiplied by the acceleration due to gravity (9.8 m/s2). This gives a force of 19.6 Newtons. Multiplying this force by the length of the arm (30 cm) gives a torque of 588 Nm.

Assuming the biceps muscle can generate a maximum torque of 600 Nm, the force it must exert to hold the carton of milk at arm's length would be 19.6 N x (600 Nm / 588 Nm) = 20 N.

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Answer:

55.8 J

Explanation:

W = Fd = (57.1 N)(0.977 m) = 55.8 J

The wave speed in a string is proportional to the square root of the tension. Therefore, if the tension increases by a factor of three, the wave speed will also increase by a factor of the square root of three (√3), which is approximately 1.73.

The wave speed in a string is determined by the properties of the string, such as its tension, mass density, and elasticity. When the tension in a string increases, the wave speed will also increase, as the string is able to transmit waves more efficiently.

The relationship between tension and wave speed is given by the equation v = √(T/μ), where v is the wave speed, T is the tension, and μ is the mass density of the string. Therefore, if the tension in a string increases by a factor of three, the wave speed will also increase by a factor of the square root of three, which is approximately 1.73. It's important to note that this is true if the change in length is negligible.

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Work is equal to energy. Since your braking distance is 10.8 m. you will not stop before you hit the oil spill

Energy is the ability to do work. The work done on an object is tantamount to energy used on the object.

If you are first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?

By using the concepts of work and energy, that is,

1/2mv² = F × s

Where

Substitute all the parameters into the formula

1/2 × 5 × 5.5² = 7 × s

75.625 = 7s

s = 75.625/7

s = 10.8 m

Since the calculated distance is greater than the given distance (10 m), you will not stop before you hit the oil spill. And your braking distance will be 10.8 m

Therefore,  you will not stop before you hit the oil spill.

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The wavelength of the microwave is 0.12 m.

The wavelength of the microwave is calculated by applying the relationship between speed of light, frequency and the wavelength.

Mathematically, the formula for the relationship between speed of light, frequency and the wavelength is given as;

λ = c / f

where;

The wavelength of the microwave is calculated as;

λ = ( 3 x 10⁸ ) / ( 2.45 x 10⁹ )

λ = 0.12 m

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Answer:

Below

Explanation:

Momentum = m * v

80 000 *2   =  4000 *40

160 000     =   160 000          they have the same momentum