How can we relate Force and Weight? What are their differences?

The speed of the metal ball is 4.47 m/s.

The speed of the metal ball is calculated by applying the principle of conservation of energy as shown below.

stored elastic potential energy of the spring = kinetic energy of the metal ball

U = ¹/₂mv²

where;

v² = ( 2U ) / m

v = √ [  ( 2U ) / m ]

The speed of the metal ball is calculated as follows;

v = √ [  ( 2 x 0.2 ) / 0.02 ]

v = 4.47 m/s

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The complete question is below:

In a physics lab experiment, a compressed spring launches a 20 g metal ball, find the speed of the metal ball if the elastic energy of the spring is 200 J.

Answer:

is a

Explanation:

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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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 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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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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Answer:

55.8 J

Explanation:

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

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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Answer:

The objective was to find a campground before dark, but Maria and I were too enchanted with the forest to retain any sense of urgency. We were surrounded by Douglas Firs, which we'd learned could survive for hundreds of years. They shot up into the sky, their foliage blotting out the sunlight. Their massive red-brown trunks were wider than Maria and I when we stood side-by-side. We'd actually found one especially large Fir that had blown down over the winter. The hole left by its roots was about the size of a one-car garage.

I was whistling a tune, my eyes on the trees, when Maria pointed out a scrap of white paper. She picked it up. It was a candy bar wrapper.

"Litter bugs," I said, shaking my head. I couldn't understand how a fellow camper could be so careless.

Further down the trail, Maria spotted another wrapper: This time it was a package of rice, torn-open. Beyond that was a half-empty package of trail mix, upturned in the dirt. A trail of rice and nuts led into the woods.

"Let's pick this stuff up," Maria said. "That'll be our good deed for the day."

Maria spent the remainder of the hike picking up various half-eaten foods and trash. Meanwhile, I took photos of the trees. Eventually we came to a treacherous bridge overlooking a waterfall. The campground, I knew, would be on the other side of the bridge. This was a good thing: It was already dusk, and setting up the tent in total dark would have been difficult.

We arrived at the campground, ready to lecture the litter bugs that we imagined would have arrived before us. We were surprised to find the whole place uninhabited. Near the river bank, we found a flat area sheltered by trees. I was unfurling the tent when I heard a noise. I turned to Maria to ask her if she'd heard the noise, but the look on her face told me she had. Her eyes were wide with fright. She pointed at a spot in the bushes, and it was then that I saw the bear. It was foraging in the trees, and it had something in its mouth.

To my relief, it scampered off and disappeared. But not before it dropped the thing that it'd had in its mouth. It was an empty package of peanuts.

8

What is the best summary of the passage?

A.

Out in a forest, Maria and the narrator admire the Douglas Firs that are supposed to survive for hundreds of years. They search for a place where they can camp, and on the way they find a lot of trash. Maria picks up the trash, while the narrator takes pictures of the trees, and soon, they arrive at an uninhabited campground. While fixing the tent, they spot a bear in the bushes.

B.

Maria and the narrator are hiking in the forest and looking for a place to camp. They spot some Douglas Firs and are so enchanted by their beauty that they forget about their campground. After picking up trash from the forest and taking pictures, they come to a treacherous-looking bridge, and on the other side, they find a campground which is uninhabited.

C.

While looking for a campground, Maria and the narrator admire the Douglas Firs in the forest. On their way, they find a trail of half-eaten food, and Maria picks up the trash while the narrator takes pictures of the trees. Finally, they arrive at an uninhabited campground, and when they spot a bear near the bushes, it drops an empty package of peanuts and scampers away.

D.

While looking for a campground in the forest, Maria and the narrator spot a lot of trash, including candy wrappers and rice packets. They begin to collect the trash, and later when they spot some Douglas Firs, they become so enchanted by their beauty that they forget about their campground. Finally, they reach a place where they spot a bear.

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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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.

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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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?

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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Answer:

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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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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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The Effect of Gamma Rays on Man-in-the-Moon Marigolds is Paul Zindel ’s best-known play.

The γ-rays mainly scatter off electrons within materials, and they randomly penetrate to some variable depth of material before their interaction. Scattering of γ-rays is itself a random process with a wide spectrum of possible results, averaging to the distributions presented above when many interactions are summed.

The individual fate of a γ-ray photon in a material is not predictable. Moreover, scattering of incident γ-ray photons will generally be incoherent, i.e. the scattered photons are unrelated, and do not form, e.g., patterns of diffraction.

The wave description of electromagnetic interactions with matter is inappropriate; we apply a particle interaction model instead.Photoelectric absorption: Atomic electrons are removed from their nuclei, thus reducing the energy of the γ-ray photon by the electron’s binding energy. This is the dominant process at energies below 100 keV.

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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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A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6 points. Irina got a score of 95points on the exam. The proportion of exam scores are lower than irina's score is  0.9938

80 points on average

6 points is the standard deviation (sd).

95 points are needed to calculate the z-score for the value of interest (x):

Z = (X-Mean-SD)

z = (95 - 80)/6 = 2.5

We're looking for:

P(z < 2.5)

From the accompanying table:

P(z < 2.5) = 0.9938

As a result, a set of physics exam results have a mean of 80 points and a standard deviation of 6 points, which is considered to be regularly distributed. Irina passed the test with a score of 95. Exam percentage with lower scores than Irina's

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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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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.

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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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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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 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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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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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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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.