a man has five 60w bulb and a 240w water heater in his apartment. if the bulb and water heater are switched on for four hours daily and the cost of electricity is $1.50 per kwh. calculate his bill for 30days.​

Answers

Answer 1

Answer: $97.20

Explanation:

Convert 60w(x5 because he has 5 bulbs) and 240w to kw to get 0.3kw and 0.24kw and add these together to get 0.54kw. Next multiply 0.54kw with 4 for 4 hours which is 2.16kw then multiply this by 30 to get 64.8kw. Finally multiply 64.8kw by 1.50 to get $97.20

Answer 2
Final answer:

The total bill for 30 days would be $259.20, considering the energy consumed by the bulbs and water heater. We need to calculate the energy consumed by the bulbs and water heater in kilowatt-hours (kWh) and multiply it by the cost per kWh. The energy consumed by the bulbs is 4800Wh per day and the energy consumed by the water heater is 960Wh per day.

Explanation:

To calculate the bill for 30 days, we need to determine the total energy consumed by the bulbs and water heater in kilowatt-hours (kWh) and then multiply it by the cost per kWh.

The energy consumed by the bulbs can be calculated as follows:

Total energy = power of one bulb * number of bulbs * time = 60W * 5 * 4 hours/day = 1200W * 4 hours/day.

So, the total energy consumed by the bulbs each day is 4800Wh.

The energy consumed by the water heater can be calculated as follows:

Energy = power * time = 240W * 4 hours/day.

So, the total energy consumed by the water heater each day is 960Wh.

To convert it to kWh, divide by 1000:

Total energy consumed each day = (4800 + 960)Wh / 1000 = 5.76kWh.

Finally, calculate the total bill for 30 days:

Total bill = total energy consumed each day * cost per kWh * number of days = 5.76kWh * $1.50/kWh * 30 days = $259.20.


Related Questions

A 2.00x10^6 hertz radio signal is sent a distance of 7.30x10^10 meters from earth to a spaceship orbiting Mars. How much time does it take for the radio signal to travel from earth to the spaceship

Answers

Answer:

It takes  [tex] 2.43\times 10^2[/tex]  for the radio signal to travel from earth to the spaceship.

Explanation:

Given:

The frequency of the radio signal =  [tex]2.00 \times 10^6[/tex] hertz

Distance =[tex]7.30\times 10^10[/tex] meters

To Find:

The time taken for the radio signal to travel from the earth to the spaceship= ?

Solution:

we know that the time taken can be found by dividing the distance travelled by the speed at which the signal travels

So

[tex]Time = \frac{Distance}{Speed}[/tex]

Here the speed of the radio signal is equal the the speed of light

Now substituting the values,

Time taken is

=>[tex]Time = \frac{7.30\times 10^10}{3 \times 10^8}[/tex]

=>[tex]Time = 2.43\times 10^{10-8}[/tex]

=>[tex]Time = 2.43\times 10^2[/tex]

The time taken for the 2×10⁶ Hz radio signal to get to the spaceship from Earth is 243.33 s

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

How to determine the timeSpeed of radio signal = 3×10⁸ m/sDistance = 7.3×10¹⁰ mTime =?

speed = distance / time

3×10⁸ = 7.3×10¹⁰ / time

Cross multiply

3×10⁸ × time = 7.3×10¹⁰

Divide both sides by 3×10⁸

Time = 7.3×10¹⁰ / 3×10⁸

Time = 243.33 s

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draw a schematic diagram with four lights in parallel

Answers

Answer:

The four ligths will share the same voltage.

Explanation:

Parallel connected circuits stand out for sharing the same voltage between nodes, the voltage source is connected to two nodes and each node shares the same common point between lights.

In the attached image we can see four lights connected between two nodes, and sharing the same voltage of the voltage source.

which of the following is a good rule of thumb for long drives

Answers

Answer:c is the answer every 2 hours A is just plain no B four hours is too long and D is a no you need to rest

Explanation:

Answer:

C

Explanation:

Which substance boils first: pure water or petroleum ? Why ?

Answers

Answer:

Petroleum

Explanation:

Water has a boiling point of 100°C meaning it will start to boil once the temperature reach 100° Celsius meanwhile

Petroleum's boiling point will change based on which petroleum product it is.

For example

LPG (which is a petroleum product)will boil at 40°C.

Answer:

Petroleum

Explanation:

The fungus Penicillium reproduces asexually and forms genetically identical spores. Which of the following processes does Penicillium use to form its spores?

Group of answer choices

fertilization

mitosis

osmosis

transcription

Answers

Mitosis

Penicillium reproduces asexually and forms genetically identical spores by mitosis.

Explanation:

In fungi, spores are produced in a structure called sporangium. This is a bulb-like structure at the tip of the sporangiophore. The parent cells (usually haploid because the fungi spend most of their life cycle in the haploid phase) divides and produces spores by mitosis. This produces haploid spores that are dispersed and readily germinate into haploid hyphae.

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During the move from A to B, the velocity decreases by half. Determine vectors for the average acceleration, average Fnet, and average velocity during the trip?

Answers

Answer:

[tex]\displaystyle \vec a=-\frac{0.5\vec v_o}{t}[/tex]

[tex]\displaystyle \vec F_{net}=-\frac{0.5\vec v_om}{t}[/tex]

[tex]\vec v_f-\vec v_o=-0.5\vec v_o[/tex]

Explanation:

Dynamics

The dynamics of an object on which a net force is applied are explained by Newton's laws. The net force equals the product of the mass of the object by its acceleration

[tex]\vec F_{net}=m\vec a[/tex]

The formulas for the accelerated motion gives us other relevant magnitudes like the velocity

[tex]\vec v_f=\vec v_o+\vec a\ t[/tex]

Since all the magnitudes are vectors, given an initial state and a final state, their average values only depend on the difference of their states.

We know during the move from A to B, and object decreases its veclocity by half. It means

[tex]\vec v_f=0.5\vec v_o[/tex]

It that happened in a time t, then the average acceleration was

[tex]\displaystyle \vec a=\frac{\vec v_f-\vec v_o}{t}[/tex]

[tex]\displaystyle \vec a=\frac{0.5\vec v_o-\vec v_o}{t}[/tex]

[tex]\displaystyle \vec a=-\frac{0.5\vec v_o}{t}[/tex]

If the object has a mass m, the net force is

[tex]\displaystyle \vec F_{net}=m\vec a=-m\ \frac{0.5\vec v_o}{t}[/tex]

[tex]\displaystyle \vec F_{net}=-\frac{0.5\vec v_om}{t}[/tex]

Finally, the average velocity was

[tex]\vec v_f-\vec v_o=-0.5\vec v_o[/tex]

Final answer:

Average acceleration can be found using Δv/Δt and is negative if the particle is slowing down. Average net force requires the particle's mass and acceleration, which is calculated using Newton's second law. Average velocity is zero if the net displacement is zero.

Explanation:

The question deals with finding the average acceleration, average net force (Fnet), and average velocity of a particle during a motion where the velocity decreases by half.

For the average acceleration, one would typically use the formula a_avg = Δv / Δt, where Δv is the change in velocity and Δt is the change in time. Since the velocity is decreasing and acceleration is given as negative when the particle is slowing down, the acceleration vector will also be negative.

To determine average Fnet, one could use Newton's second law, F = ma, once the mass of the object and the average acceleration are known. However, without the mass, we cannot calculate the average net force.

In terms of average velocity, it would be calculated as the total displacement divided by the total time. In a scenario where the net displacement is zero (such as a round trip), the average velocity would also be zero.


Help me please :(((((((

Answers

Answer: A.

Explanation: Roughly 180 - 200 million years ago, just before the first dinosaurs evolved. Mammals themselves evolved from a group or reptiles which exhibited mammal-like traits. One of them was specialized teeth. Reptiles tend to have teeth all the same shape. The mammal-like reptiles evolved tiny teeth in front of the jaw and two pairs of over sized fangs along the the sides. Like modern mammals, the head was large in proportion to the rest of the body. The jaws were also evolving another mammal trait, the ability to move sideways. Despite the lack of specialized teeth, acute hearing and the ability to chew, the dinosaurs evolved an adaptation which made them far more successful than mammals--modified leg bones. These limbs could be articulated directly under their bodies. This enabled the legs to support more weight, since the limbs were now under the body instead of at the sides. Then dinosaurs did something which secured their dominance for the next 120 million years - they began to stand on two legs. Although the back was still parallel to the ground, running on two legs greatly increased the dinosaur's speed. Mammals could simply not compete with swift, giant predators and were forced to remain small, and most became nocturnal to evade dinosaurs which were probably active during the day. Despite that they managed to survive which allowed the further evolution of mammals into us, humans.

In the Cenozoic period only mammals were alive. All dinosaurs had gone extinct leaving animals such as cave lions, woolly mammoths, and cave bears. Considering that Dinosaurs had gone extinct roughly 66 million years ago in the Cretaceous era and the Cenozoic era was 66 million years ago, the beginning of the Cenozoic era started with the extinction of dinosaurs.

Answer: D

Gravity is needed to determine an object's _____. A. mass only B. weight only C. mass and weight

Answers

Answer:

B

Explanation:

Mass is the amount of matter in an object. Weight is the force of gravity on an object.

Your first response has it right. Weight is determined by gravity. To understand this better, it’s helpful to think of mass as the “stuff” that an object is made of. All of it’s atoms. All of them. This amount doesn’t change whether you’re on earth or the moon, for example. You are you in both places. Your weight however, changes from earth to the moon, because the gravity, or force that pulls you and the earth together, is different from the gravity of the moon. The earth and you are attracted more strongly and you therefore have a greater weight. If you were on Jupiter you’d weigh even more than you do on earth. Much, much more.

Suppose you throw a rock off a cliff on Earth with an initial horizontal velocity of 3 m/s. Assuming minimal drag and no wind, the horizontal velocity of the rock A. increases as it falls. B. decreases as it falls. C. is 0 m/s just before it lands. D. remains constant throughout the fall.

Answers

Answer:

D. remains constant throughout the fall.

Explanation:

Horizontal Launching

We can launch an object in free air in three forms: vertically, horizontally or inclined. In any case, the only acting force to modify the object's velocity and make it go back to the ground is the force of gravity and it's always directed downwards. Unless friction or air resistance is considered, the horizontal motion is not affected because no force is acting in that direction.

The rock described in the question was launched at 3 m/s pointed horizontally. Immediately after launching, the rock starts to fall to the ground and gain vertical velocity, but the horizontal component remains the same until it completes the flight.  

The D option is correct: the horizontal velocity of the rock remains constant throughout the fall

Which part of the light waves does color correspond to ?

Answers

Answer:

The color corresponds to the electromagnetic spectrum of light waves.

Explanation:

The group electromagnetic waves are called the electromagnetic spectrum. They have been arranged according to the frequency as well as the wavelength. Further these have been grouped in sections like radio waves, microwaves, infrared waves, ultraviolet rays, X- rays and gamma rays. The graph formed are in form of radiant colors. Every color has some specific response pattern. The shortest wave is the violet color where the longest one is red. Being the shortest wave have the highest energy for all the visible light spectrum. The energy is high as well as the frequency and vibration are shortest. The energy of red is least.

What causes some objects' motion to change?

Answers

Answer:

Forces affect how objects move. They may cause motion; they may also slow, stop, or change the direction of motion of an object that is already moving. Since force cause changes in the speed or direction of an object, we can say that forces cause changes in velocity. ... So forces cause acceleration.

Answer:

Its called force

Explanation:

will mark as brainliest if answered correctly!!!!!!!!!!!!!
Which letter on the diagram below represents the angle of reflection?
A. A
B. B
C. C
D. D

Answers

Answer:

C

Explanation:

Because...

A= Incideant ray

B= Angle of inciderance

C= angle of reflection

D= reflection ray

Answer:

B

Explanation:

A hypothetical planet has a mass of 1.66 times that of Earth, but the same radius. What is gravitiy near its surface?

Answers

Answer:

[tex]g=16.28m/s^2[/tex]

Explanation:

The gravitational acceleration on the surface of the earth is

[tex]g_{e}=\frac{Gm_{e}}{R_{e}^2}[/tex]

where G is the universal gravitational constant, [tex]m_{e}[/tex] is the mass of earth, and [tex]R_{e}[/tex] is the radius of earth,

in general for any object the gravitational acceleration or gravity on its surface is:

[tex]g=\frac{Gm}{R^{2}}[/tex]

in this case we know that the mass is 1.66 times the mass of earth:

[tex]m=1.66*m_{e}[/tex]

and the radius is the same as for earth:

[tex]R=R_{e}[/tex]

so the gravity for this planet is

[tex]g=\frac{G(1.66m_{e})}{R_{e}^2}[/tex]

which can be written in the following form:

[tex]g=(1.66)\frac{Gm_{e}}{R_{e}^2}[/tex]

where we know that [tex]g_{e}=\frac{Gm_{e}}{R_{e}^2}[/tex] , so:

[tex]g=(1.66)g_{e}[/tex]

and the acceleration of gravity on earth is: [tex]g_{e}=9.81m/s^2[/tex]

so the acceleration or gravity on the planet is:

[tex]g=(1.66)(9.81m/s^2)\\g=16.28m/s^2[/tex]

Final answer:

The gravity on the surface of a hypothetical planet with a mass of 1.66 times that of Earth and the same radius would be 1.66 times that on Earth, or approximately 16.28 m/s². Thus, the person would weigh about 1.66 times as much on this planet as they do on Earth.

Explanation:

The gravity on the surface of a hypothetical planet that has a mass of 1.66 times that of Earth but the same radius can be determined by the equation g = GM/r², where G is the gravitational constant, M is the mass of the object, and r is the radius.

Given that the mass (M) of this planet is 1.66 times that of Earth, and the radius (r) is the same, the gravitational force (g) will be 1.66 times that of Earth. On Earth, the average gravitational force at the surface is approximately 9.8 m/s². Therefore, for this hypothetical planet, the gravity would be approximately 1.66 * 9.8 = 16.28 m/s².

This means a person would weigh approximately 1.66 times as much on the surface of this planet as they do on Earth, assuming that their mass remains constant.

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NEED HELP ASAP!!!
What happens when you push against a brick wall?

A.)The wall pushes back on you with the same force.
B.)The wall noticeably accelerates away from you.
C.)The force of your push is cancelled out by the wall.
D.)The wall pulls you toward it with the same force.

Answers

Answer:

The answer is A)

Explanation:

The wall pushes back on you with the same force.

This is easily analyzed since when pushing or applying force toward the wall it does not move, it can be said that the system is in balance, this mathematically corresponds to that the sum of forces will be equal to zero, for this to be true the wall must apply an equal force and opposite to the force applied on the wall.

The above corresponds to newton's third law which says: Newton's Third Law also known as the principle of action and reaction tells us that if a body A exerts an action on another body B, it performs on another action-equal and of opposite sense.

An example of this can be seen in the attached image.

Final answer:

When you push against a brick wall, the wall pushes back with the same force, according to Newton's third law of motion.

Explanation:

When you push against a brick wall, according to Newton's third law of motion, the answer is A.) The wall pushes back on you with the same force. Newton's third law of motion states that for every action, there is an equal and opposite reaction.

This means that any force exerted on a body will produce a reaction force from the body that is equal in size but opposite in direction. Therefore, when you push on a brick wall, the wall pushes back with the same force, but the wall is firmly in place, due to its high mass and the friction between the wall and its foundation, which makes it seem immovable.

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The magnitude of the frictional force along the plane is most nearly​

Answers

Answer:

F = N*μ or F =m*g*μ

Explanation:

The friction force is defined as the product of the normal force by the corresponding friction factor.

When a body is in equilibrium over a horizontal plane its normal force value shall be equal to:

[tex]N = m*g\\where:\\m=mass [kg]\\g=gravity [m/s^2]\\N= normal force [N][/tex]

if we simplify this formula more for a balanced body on a horizontal plane, we will have.

[tex]F=m*g*u[/tex]

Final answer:

The magnitude of the frictional force along a plane depends on the normal force and the coefficient of friction between the two surfaces. The force opposes motion in scenarios involving inclines or sliding objects and can be adjusted using the object's weight components and the coefficients of friction. In cases of rolling motion without slipping, the static friction force helps keep the object rolling smoothly.

Explanation:

The magnitude of the frictional force along a plane is determined by the normal force (the force exerted by the surface) and the coefficient of friction between both surfaces. This friction force can oppose the motion on a surface which inclines in the case of a skier or a sliding block as mentioned in the examples. To calculate it, you would multiply the normal force (N) by the coefficient of friction (µ). For example, in a scenario where a block is sliding on a horizontal surface, if the gravitational force is 40N and the coefficient of friction is 0.20, then the magnitude of the frictional force would be 40N x 0.20 = 8N.

If the plane is inclined, you must project the object’s weight into components that are parallel and perpendicular to the surface. For instance, the normal force would be perpendicular and the frictional force parallel to the slope. The magnitude of the frictional force (f) is less than the component of the object's weight that is parallel to the slope (W ||), causing it to accelerate downslope. This can be adjusted using coefficients of friction and weight components.

In the case of a cylinder rolling without slipping, the rolling motion is due to the static friction force, and thus, the magnitude of this force would be less than or equal to the product of the static friction coefficient (µs) and the normal force (N). This keeps the cylinder rolling without skidding.

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James threw a ball vertically upward with a velocity of 41.67ms-1 and after 2 second David threw a ball vertically upward with a velocity of 55.56ms-1.Which ball will reach the ground first?

Answers

The first ball reaches the ground first

Explanation:

We can solve the problem by using suvat equations, since the motion of both balls is a free fall motion (with constant acceleration, [tex]g=9.8 m/s^2[/tex], towards the ground).

The equation of motion that represents the y-position of the first ball at time t is

[tex]y_1 = u_1 t + \frac{1}{2}at^2[/tex]

where

[tex]u_1 = 41.67 m/s[/tex] is the initial vertical velocity of the ball

[tex]a=-g=-9.8 m/s^2[/tex] is the acceleration (downward, therefore negative)

Substituting [tex]y_1 = 0[/tex] and solving for t, we find the corresponding time at which the ball reaches the ground:

[tex]0=u_1 t + \frac{1}{2}at^2\\0=t(u_1 + \frac{1}{2}at)[/tex]

The two solutions are:

t = 0 (starting moment)

[tex]u_1 + \frac{1}{2}at=0\\t=-\frac{2u_1}{a}=-\frac{2(41.67)}{-9.8}=8.5 s[/tex]

So, the first ball reaches the ground after 8.5 s.

Similarly, for the second ball

[tex]y_2 = u_2 t + \frac{1}{2}at^2[/tex]

where

[tex]u_2 = 55.56 m/s[/tex] is the initial vertical velocity of the ball

[tex]a=-g=-9.8 m/s^2[/tex] is the acceleration (downward, therefore negative)

Substituting [tex]y_2 = 0[/tex] and solving for t, we find the corresponding time at which the ball reaches the ground:

[tex]0=u_2 t + \frac{1}{2}at^2\\0=t(u_2 + \frac{1}{2}at)[/tex]

The two solutions are:

t = 0 (starting moment)

[tex]u_2 + \frac{1}{2}at=0\\t=-\frac{2u_2}{a}=-\frac{2(55.56)}{-9.8}=11.3 s[/tex]

So, the second ball reaches the ground after 11.3 s. However, the ball has been thrown 2 seconds after the first ball, so the actual time is

t = 11.3 + 2 = 13.3 s

This means that the first ball reaches the ground first.

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I an exthermic reaction, why does the chemical reaction give off energy in the form of heat or light

Answers

Answer:

Because the chemical reaction cools down, releasing excessive heat into its surroundings, which we interpret as heat.

Explanation:

define work done against friction
(helpp)​

Answers

Answer:

The work done against friction is the work done on an object that overcomes this frictional force allowing the object to move - it doesn't include any extra work used to accelerate an object for example - only the work used to beat the frictional force.

Explanation:

working of electric generator​

Answers

Answer:

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.

Explanation:

Answer:

The difference in electrical potential is the difference of electrons from one site with respect to another, when this occurs those of the site where there is more they move to the site where there is less. This is what is known as electric current. The difference of electrons from one site to another is measured in Volts, the more volts the more difference there is in the amount of electrons from one site to the other and therefore more electrons will run to there as soon as they can.

The upper vessel has a potential (in this case gravitational) and the one below another. If the two are joined with a pipe, a stream of water starts from one to another container. This happens, for example, with any electric (electric-generated) battery, by joining the two (+) and (-) poles as they are at different electric potential an electric current (of electrons) starts between them.

An electric generator maintains a difference in electrical charges between two points, called poles, terminals or terminals, so this electrical energy can be converted into other forms of energy.

How much of a 100 g sample of radon-222 will remain unchanged after 7.64
days?


Answers

The half-life of a substance describes the time in which it takes for half of the radioactive isotope to decay into another form. In your question, it says that the half life of radon-222 is 3.82 days; in a 100g sample of radon, 3.82 days pass and 50g of that isotope is left.

7.64 days is the equivalent to two half lives (7.64/3.82), so only half of half of 100%, or 25%, of the isotope would remain. The answer is D

Hope that helps

Which statement can be made about amplitude of any tranverse waves

Answers

Answer:

Amplitude is the vertical distance between a ridge and the midpoint of the wave.

Explanation:

A mechanical wave is a disturbance that travels through a material or substance that is a medium of the wave. For example, when a tense string is pressed, the disturbance caused spreads along it in the form of a wave pulse. The disturbance in this case consists in the variation of The Shape of the string from its equilibrium state

it is important to know:

Crest: the crest is the highest point of this amplitude.

Period: the period is the time it takes the wave to go from one point of maximum amplitude to the next.

Amplitude: amplitude is the vertical distance between a crest and the midpoint of the wave.

Frequency: number of times that vibration is repeated.

Valley: it is the lowest point of a wave.

Wavelength: distance between two consecutive ridges of this size.

Transverse wave velocity.-

The propagation speed of a wave on a string (v) is proportional to the square root of the string tension (T) and inversely proportional to the square root of the linear density (μ) of the string:

[tex]v = \sqrt{\frac{T}{μ} }[/tex]

Answer:

A

Explanation:

22. A race car accelerates from 0.0 m/s to 5 m/s with a displacement of 2.5 m. What is the
car's acceleration? a. 5 m/s? b. 7.5 m/s2 c. 12.5 m/s2 d. 2.5 m/s2
5-6

Answers

Answer:

Option A

[tex]5 m/s^{2}[/tex]

Explanation:

From fundamental equation of motion

[tex]v^{2}=u^{2}+2as[/tex] where v is the final velocity, u is the initial velocity, a is the acceleration of the body and s is the displacement.

Since the initial velocity is zero

[tex]v^{2}=2as[/tex]

Making acceleration, a the subject of the formula then

[tex]a=\frac {v^{2}}{2s}[/tex]

Substituting 5 m/s for v and 2.5 m for s then

[tex]a=\frac {5^{2}}{2\times 2.5}=5 m/s^{2}[/tex]

30. Light has been described as a ___ and a ___

Answers

Answer:

Explanation: light has been described as a particle and a wave

1-5 answer please .....

Answers

1). Vector
2). Scalar
3). Magnitude
4). Components
5). Free body diagram

what is newton's disc ?How does it show that light is composed of many colours?

Answers

Answer:

What is Newton's Disc?

This is a type of disc that is divided into the rainbow colors (red, orange,yellow, green, blue, indigo and violet).

How does it show that light is composed of many colours?

When the Newton disc is spun, it produces a white light. This means that light is made up of rainbow colors.

Explanation:

Newton's disc is commonly used in experiments. This is an idea introduced to us by Isaac Newton, an influential scientist who greatly contributed to science. The disc is described as a color wheel, in which the different rainbow colors are shown. Once you spin the wheel, you'd be able to see the different colors blending in. It turns into one color and that is "white."

4. An object falls from the top of a storage cabinet 2 meters high. How
long does it take to reach the floor?

Answers

Answer:

Time = 0.64 s

Explanation:

Given:

Displacement of the storage cabinet is, [tex]S=2\ m[/tex]

As the object falls from the top, so initial velocity is, [tex]u=0\ m/s[/tex]

Also, the acceleration of the storage cabinet is due to gravity only.

So, acceleration of the storage cabinet is, [tex]a=9.8\ m/s^2[/tex]

Now, in order to find the time taken to reach the floor, we have to use the equation of motion that relates displacement, initial velocity, acceleration and time.

So, the equation of motion used is given as:

[tex]S=ut+\frac{1}{2}at^2[/tex]

Plug in the given values and solve for time 't'. This gives,

[tex]2=0+\frac{1}{2}(9.8)(t^2)\\\\2=4.9t^2\\\\t^2=\frac{2}{4.9}\\\\t^2=0.4082\\\\t=\sqrt{0.4082}\\\\t=0.64\ s[/tex]

Therefore, the storage cabinet takes 0.64 seconds to reach the floor.

Which of these was important at the beginning of the Industrial Revolution but is no longer important to highly developed countries?

Access to large markets

Technological monopolies

Transportation infrastructure

Proximity to sources of energy

A well-trained workforce

Answers

I would say Technological Monopolies. Access to large markets might have not been so important back then, but it is definitely needed for consumers now. Transportation was also something not so critical but now it is one of the biggest fraction of government spending. Proximity to sources of energy are needed both by the people during the IR and people today to maintain the success the IR brought us. A well-trained workforce is also needed in both circumstances, as people without training can mess up factors of production and damage reputation.

A 0.35 kg ball moving in a circle at the end of a string has a centripetal acceleration of 5 m/s^2. What is the magnitude of the centripetal force exerted by the string on the ball to produce this acceleration?

Answers

Answer:

1.75 N

Explanation

centripetal force = mass × centripetal acceleration

                            =  0.35×5

                               =  1.75 N

Centripetal force is 1.75N

ConceptCentripetal force is the force acting on an object in curvilinear motion directed towards the axis of rotation or center of curvature.Centripetal force is calculated by mass* centripetal acceleration.

How to solve this Problem?The mass of the ball given is 0.35kgThe centripetal acceleration given is 5m/s^2We need to calculate the magnitude of the centripetal force .

Therefore.

Centripetal force = mass*centripetal acceleration

                              = 0.35*5

                              =  1.75N

Hence , the centripetal force is 1.75N

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Neva swam 3 complete laps in a 50 meter pool (1 lap is to the other side and back) express your answer in meters.

What is the distance and displacement

Answers

Answer:

Distance covered by Neva = 300 m

Displacement of Neva = 0 m

Explanation:

Given:

Length of the pool = 50 meter

Number of laps Neva swam = 3

1 lap is to swim to the other side and back.

To find the distance and displacement.

Solution:

To calculate the distance swum by Neva we will find the total length covered by Neva in 3 laps.

1 lap is 50 meters to the other side and 50 meters back

So, the length of 1 lap = [tex]50\ m+50\ m=100\ m[/tex]

Total length of 3 laps = [tex]3\times 100\ m = 300\ m[/tex]

To calculate the displacement we will find the distance between initial position and final position.

We, see that on completing 3 laps Neva returns to her starting point. Thus the initial and final position are the same. Do, the distance between initial position and final position will be = 0 m

Distance covered by Neva = 300 m

Displacement of Neva = 0 m

The distance Neva swam is 300 meters, while her displacement is zero meters.

To determine the distance Neva swam:

One lap in a 50-meter pool is defined as swimming to the other side and back, which means one lap is 100 meters.Neva swam 3 complete laps.Therefore, the total distance Neva swam is:

              3 laps × 100 meters/lap = 300 meters.

Displacement refers to the change in position from the starting point.

Since Neva ends up at the same point where she started after swimming 3 laps, her displacement is zero meters.

Hence,

Distance: 300 metersDisplacement: 0 meters

What travels faster, light or sound?

Answers

Answer:

light travels faster than sound

Light.

Light is faster than sound . Because light doesn't need a medium to travel. The speed of sound through air is about 340 meters per second. It's faster through water and its even faster, through steel.
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