A body with a uniform acceleration travels distances of 24m and 64m during the first two equal consecutive intervals of time, each of duration 4s. Determine the initial velocity and acceleration of the moving body.​

Answers

Answer 1

Answer:

Explanation:

Average velocity in the 24 m interval is 24 / 4 = 6 m/s

Average velocity in the 64 m interval is 64 / 4 = 16 m/s

There is a 4 second interval between the two points where average velocity equals actual velocity

a = Δv/t = (vf - vi) / t = (16 - 6) / 4 = 2.5 m/s²

s = v₀t + ½at²

24 = v₀(4) + ½(2.5)4²

4v₀ = 24 - 20

v₀ = 1 m/s

Not asked for but the velocity at the end of the first segment and beginning of the second segment is 11 m/s and final velocity is 21 m/s


Related Questions

2 An electric kettle is marked "230V, 1.5 kW.
a Explain what these numbers mean.
b Calculate the correct fuse that should be used.
c Explain why a 230V, 100 W bulb glows more brightly than a 230 V, 60 W
bulb when both are connected to the mains supply.

Answers

The power needed to boil the water is divided by the element's power output, and the result is multiplied by 100 to get the efficiency of the kettle as a percentage. The answer is 79 %.

To Find the efficiency of electric kettle ?

We are informed that

Electric kettle power is 1 kW.

Electric kettle voltage is 230 V.

The time it takes the kettle to bring the water to boiling point is 7.5 minutes.

1 kg = mass of water.

Heat generated equals V x I x t + Pt.

generated heat = 1000 W x 7.5 x 60

Heat absorbed equals (100 - 15) x 1 x 4200 = 4200 x 85

Efficiency is determined by multiplying the heat produced by the heat absorbed by 100.

= 4.2 x 85 x 10^3 / 4.5 x 10^5 x 100

= 357 / 4.5 = 79 %

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What are the four most important characteristics of an electric circuit?

Answers

Answer:

an energy source (AC or DC), a conductor (wire), an electrical load (device), and at least one controller (switch).

Explanation:

mark as brainliest please

The 4 most important characteristics of an electric circuit are discussed below.

We have a electric circuit.

We have to mention its 4 important characteristics.

What is an Electric circuit ?

Electrical circuit is a closed path which acts as a medium for the flow of current when there is a potential difference between two points in the path.

According to the question -

The important characteristics of electric circuit are -

It must contain at least one source of energy.It is a combination of both active and passive elements.It always exist in the form of closed loop for regular flow of current.The flow of electrons take place from negative terminal to positive terminal

Hence, the 4 most important characteristics of an electric circuit are mentioned above.

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Mountain Dew is a mixture. Which of the following statements could be used to support the claim
that Mountain Dew is a mixture?
a. Mountain Dew is made of only one kind of element.
b. Mountain Dew is made of many elements that are all bonded together.
c. Mountain Dew is made of only one kind of molecule.
d. Mountain Dew is made of many substances that can be separated out.

Answers

Answer:

d. Mountain Dew is made of many substances that can be separated out.

We know that any mixture can be separated out into its individual components.

a worker pulls horizontally on a crate on a rough horizontal floor, causing it to move forward with constant velocity. in the figure (figure 1), force a is the pull of the worker and force b is the force of friction due to the floor. figure1 of 1 a crate is pulled to the right along a horizontal floor with force 'a' exerted on the middle of the right side of the crate. the floor exerts a friction force, b, on the bottom of the crate, which points horizontally to the left. part a which one of the following statements about these forces is correct? which one of the following statements about these forces is correct? A > B
A = B
A< B
It will not slow down, but continue moving at constant velocity.

Answers

The force of friction must be equal and opposite to the force exerted by the worker. Therefore, the relationship between force A (the force exerted by the worker) and force B (the force of friction) is B = A. Here option B is the correct answer.

Since the crate is moving forward with constant velocity, we know that the net force acting on it is zero. If the worker were to increase force A, the crate would accelerate forward, and the force of friction would increase to match the new net force and bring the crate back to a constant velocity.

On the other hand, if the worker were to decrease force A, the crate would decelerate, and the force of friction would decrease to match the new net force and bring the crate back to a constant velocity. In conclusion, the correct answer is B - A = B, which means that the force exerted by the worker is equal to the force of friction acting on the crate.

Complete question:

A worker pulls horizontally on a crate across a rough horizontal surface, causing it to move forward with constant velocity. Force A is the force exerted by the worker and force B is the force of friction due to the surface. What is the relationship between A and B?

A - A > B

B - A = B

C - A< B

D - It will not slow down, but continue moving at constant velocity.

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A dry cell gives static electricity true or false?

Answers

Answer:

False

Explanation:

The weighted rod floats with 6 cm of its length under water (density = 1000kg/m³). What length is under the surface when the rod floats in brine (density = 1200 kg/m³)​

Answers

The length is under the surface when the rod floats in brine  is 4 cm .

This is done by Archimedes principle.

What is Archimedes principle ?

The upward buoyant force exerted on a body immersed in a fluid, whether partially or fully submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the displaced fluid's center of mass.

The Archimedes law, discovered by Archimedes of Syracuse in Greece, determines the value of thrust force. When an object is immersed in a liquid, the apparent weight loss is equal to the weight of the liquid displaced by it.

using formula

Apparent weight= Weight of object (in the air) – Thrust force (buoyancy)

F = ρ x g x V

F is force

ρ = density

V = volume

g = gravity

Archimedes' principle states that the weight loss is equal to the weight of liquid displaced by the object.

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If the law allows abortion based on sex, should we also allow abortion based on race, ethnicity, or skin color? Briefly explain why you believe this is right or wrong.

Answers

Answer:

No because you don't have to be black or white you don't have to be a pacific race to just get it like lets say for example a asian person come in and they want to get a abortion but the doctor say no then that person can end up killing her self or when the baby is born she could end you know doing something bad. But no you do not have to be a pacific person to just get it

Explanation:

Olympic swimmer, Micheal Phelps, swam a 200 meter race in 1 minute and 54 seconds. What would his velocity be in meters/seconds

Answers

During the 200-meter race, Michael Phelps moved at a speed of 1.75 metres per second.

What is famous about Michael Phelps?

More than any other swimmer in history, he won Olympic medals, world titles, US national titles, and set world records. Phelps has made it a priority to support the growth of swimming at all levels during his career. With a total of 28 medals, he is the most successful and decorated Olympian of all time.

Velocity = Distance / Time

In this case, the distance swum is 200 meters and the time taken is 1 minute and 54 seconds, or 114 seconds.

Velocity = 200 meters / 114 seconds

Velocity = 1.75 meters/second (rounded to two decimal places)

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what do you understand by the term lost voltage?​

Answers

Answer:

When a load resistance is connected, current flows through the cell and a voltage develops across the internal resistance. This voltage is not available to the circuit so it is called the lost volts, .

Explanation:



What is the rabbit's displacement from t = 0s to 3 s?
Answer with two significant digits.

Answers

Answer: i think the answer is 20.0s

Explanation:

Answer:

The rabbit displaces 2.5m to the right.

Explanation:

Khan Academy hints

5. Elements combine to form

O compounds
O molecules
atoms
mixtures the gen​

Answers

Elements combine to form compounds. The correct answer is A.

Elements combine with each other in chemical reactions to form compounds. A compound is a substance composed of two or more different elements chemically combined in a fixed ratio by mass. For example, water is a compound composed of hydrogen and oxygen in a fixed ratio of 2:1 by mass.

B. Molecules are formed when two or more atoms combine chemically, but these atoms can be of the same element or different elements. For example, oxygen gas (O2) is a molecule composed of two oxygen atoms.

C. Atoms are the smallest unit of matter that retains the properties of an element. Atoms do not combine to form other atoms or compounds.

D. Mixtures are composed of two or more substances physically mixed together, but the substances retain their individual properties and can be separated by physical means. Mixtures are not formed by the chemical combination of elements. Examples of mixtures include air and saltwater.

Therefore, The correct answer is option A.

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500000000 in standard form

Answers

Answer:

5.0 x 10^8

Explanation:

because u moved it 8 times to it places

Which of the following relationships is correct?
2 points
1 N = 1 kg
1 N = 1 kg·m
1 N = 1 kg·m/s
1 N = 1 kg·m/s2

Answers

1 N = 1 kg•m is the answer

Given the following information, what is the magnitude of the sum of the three
vectors?
Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]
Express your answer to two decimals

Answers

Answer:

31.84

Explanation:

To find the magnitude of the sum of the three vectors, first, we need to add the vectors component-wise. Then, we can find the magnitude of the resulting vector.

Add the vectors component-wise:

Vector A + Vector B + Vector C = [13+13+0, 8+0+1, 0+8+8] = [26, 9, 16]

Find the magnitude of the resulting vector:

The magnitude of a vector [x, y, z] is given by the formula:

magnitude = sqrt(x^2 + y^2 + z^2)

Plugging in the values from the resulting vector:

magnitude = sqrt(26^2 + 9^2 + 16^2)

magnitude = sqrt(676 + 81 + 256)

magnitude = sqrt(1013)

magnitude ≈ 31.84

The magnitude of the sum of the three vectors is approximately 31.84.

Hope this helps!

Which of the following best determines the amount of energy of a single photon of light? The speed of the photon The frequency of the photon The material the photon moves through The time it takes the photon to reach a destination

Answers

The amount of energy of a single photon of light is determined by its frequency.

What is Planck-Einstein relation?

The Planck-Einstein relation is a fundamental equation that describes the relationship between the energy (E) of a single photon of light and its frequency (f). The relation is given by the formula:

\(E = hf\)

where h is Planck's constant, a physical constant with a value of approximately \(6.626 x 10^-34 joule seconds (Js)\). This equation suggests that the energy of a photon is directly proportional to its frequency. In other words, photons with higher frequencies (such as those in the ultraviolet or x-ray parts of the electromagnetic spectrum) have more energy than those with lower frequencies \(6.626 x 10^-34 joule seconds (Js)\) (such as those in the infrared or radio parts of the spectrum).

The speed of the photon and the material it moves through can affect its wavelength and therefore its frequency, but they do not directly determine its energy. The time it takes the photon to reach a destination is not directly related to its energy either.

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A 66 kg driver gets into an empty taptap to start the day's work. The springs compress 2.3×10−2 m
. What is the effective spring constant of the spring system in the taptap?
Enter the spring constant numerically in newtons per meter using two significant figures

Answers

Explanation:

You want  N/m

 N = 66 * 9.81

 m = 2.3 x 10^-2 m

66* 9.81 / 2.3 x 10^-2  = 28150 =  28 000 N/m    to two S D

Weight _____. A) is related to mass, but not the same. B) changes as mass changes C) depends upon gravitational pull D) all of the above

Answers

Answer:

D) all of the above

Explanation:

All of the given choices are correct definition of what weight of a substance implies.

Weight is the vertical force on a body due to the gravitational attraction or pull.

  Weight  = mass x acceleration due to gravity

Mass of a body is directly proportional to its weight and so also is the gravity.

Mass is the amount of matter within a substance.

Weight is the force of gravity exerted by a body on another or a surface.

The reason why the weight of a body changes from place to place is mainly due to the gravitational pull

PLEASE HELP ME
CER (claim, evidence, reasoning)
Claim: Human powered generators are the best energy source for the rescure team.
Evidence: Human powered generators can be used to transfer enrgy any time somone is there to turn the crank.
Reasoning: ?

Answers

Human-powered generators can be used to transfer energy any time someone is there to turn the crank because turning the crank the mechanical energy required can be provided with the help of the Human powered generators.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

Claim: Human-powered generators are the best energy source for the rescue team.

Evidence: Human-powered generators can be used to transfer energy any time someone is there to turn the crank.

When someone is available to spin the crank, a human-powered generator may be utilized to transmit energy. By rotating the crank, human-powered generators can supply the necessary mechanical energy.

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A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 120 seconds. How much power was used?

Answers

Answer:

25 watts

Explanation:

Power=work/time

work=force x distance

1000 × 3

=3000 Joules

power= 3000/120

=25 watts

If A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 120 seconds. Then the power used is equal to 25 watts.

What is power?

Power is the rate at which work is done or energy is transferred. It is a physical quantity that measures how quickly energy is used or transformed.

P=W/s

Where W= work done in joules.

s= time in seconds.

Power is typically measured in watts (W), which is equivalent to joules per second (J/s). In simple terms, power can be defined as the amount of work done or energy transferred per unit of time.

Here in the question,

To calculate the power used to lift the piano, we need to use the formula:

Power = Work / Time

The work done in lifting the piano is given by:

Work = Force x Distance

Where

Force = the weight of the piano, which is 1,000 newtons,

Distance = the height to which it is lifted, which is 3 meters.

Then, the work done is:

Work = 1,000 N x 3 m = 3,000 joules

The time taken to lift the piano is 120 seconds.

Now we can substitute these values in the formula for power:

Power = Work / Time

Power = 3,000 joules / 120 seconds

Power = 25 watts

Therefore, the power used to lift the piano is 25 watts.

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What type of energy shows motion?

Answers

Answer:

kinetic energy

Explanation:

Answer:

Kinetic energy

Explanation:

A speeding bullet, a walking person, and electromagnetic radiation like light all have kinetic energy.

Can someone please answer this? I am really lost.

Can someone please answer this? I am really lost.

Answers

Answer:

8.0 rad/s

Explanation:

I₁ = 1.0 kgm², ω₁ = -20.0 rad/s (clockwise is positive direction)

I₂ = 4.0 kgm², ω₂ = 15.0 rad/s

Angular momentum conservation:

I₁ω₁ + I₂ω₂ = (I₁ + I₂)ω

1.0 x (-20.0) + 4.0 * 15.0 = (1.0 + 4.0)ω

40.0 = 5.0ω

so ω = 8.0 rad/s

Find the magnitude of velocities vA and vB in the figure below, where,
= 24.0° and vtot = 5.96 m/s.

Find the magnitude of velocities vA and vB in the figure below, where, = 24.0 and vtot = 5.96 m/s.

Answers

The magnitude of velocity A is 3.06 m/s and the magnitude of velocity B is 3.5 m/s.

What is the magnitude of velocity A and B?

The magnitude of velocity  A and B in the given figure is determined by applying parallelogram law of vector addition.

Vr² = Va² + Vb²  - 2(Va)(Vb) cosθ

where;

Vr is the resultant velocity or total velocityVa is the velocity of AVb is the velocity of Bθ is the angle between velocity A and velocity B

The angle between the two velocities is calculated as follows;

θ = 180 - (23⁰ + 26.5⁰)

θ = 130.5⁰

Apply sine rule and determine the values of each of the velocities.

Va / sin(23) = V(tot) / sin(130.5)

Va / sin(23) = 5.96 / sin(130.5)

Va = 5.96 (sin 23 / sin 130.5)

Va = 3.06 m/s

Vb / sin(26.5) = V(tot) / sin(130.5)

Vb = 5.96 (sin 26.5 / sin 130.5)

Vb = 3.5 m/s

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The current sensitivity of a moving coil galvanometer increase with decrease in _________?​

Answers

The current sensitivity of a moving coil galvanometer increases with a decrease in its resistance.

What is Current Sensitivity?

Current sensitivity is a measure of the responsiveness of an instrument to the current flowing through it. In particular, it is the deflection produced by a given amount of current passing through a device. The higher the current sensitivity, the smaller the amount of current required to produce a given deflection, and thus the more sensitive the instrument is to changes in current.

This is because the current sensitivity of a galvanometer is defined as the deflection produced per unit of current passed through it. Therefore, a higher current sensitivity means that a smaller current can produce a larger deflection, which can be achieved by decreasing the resistance of the galvanometer. This is because a lower resistance will allow a larger current to flow through the coil, which will result in a larger deflection of the coil.

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Answer:

Resistance

Explanation:

Sensitivity of a moving coil galvanometer can be increased by increasing the number of turns in the coil, the area of coil and magnetic field whereas by decreasing the couple per unit twist of the suspension.

Two forces act on the screw eye. If F = 600 N, determine the magnitude of the resultant force and the angle θ if the resultant force is directed vertically upward.

Answers

Answer:

how to solve this problem ???????

The magnitude of the resultant force is 919.6 N and the value of angle θ is 36.87⁰.

Resultant of the two forces

The resultant of the two forces is determined by resolving the force into x and y component as shown below;

\(F_1_x + F_2x_x = F_R_x \ --- (1) \\\\F_1_y + F_2_y = F_R_y\ ---(2)\)

where;

F1 = 500 NF2 = 600 NValue of Angle θ

The value of Angle θ is determined from equation (1)

-500sinθ + 600sin(30) = 0

500sinθ = 600sin(30)

500sinθ = 300

sinθ = 3/5

θ = 36.87⁰

Resultant of the two forces

The resultant of the forces is determined using the second equation;

500cosθ + 600cos(30) = R

500 x cos(36.87) + 600 x cos(30) = R

919.6 N = R

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Two forces act on the screw eye. If F = 600 N, determine the magnitude of the resultant force and the

how would you write 4.3756 in standard decimal form

Answers

It can be 5.64x10^-7
5.64x 10^8

3) A 10 ohm resistor and a 5 ohm resistor are connected in a series. A 2 A current
runs through the 10 ohm resistor. What is the potential difference in the 5 ohm resistor?
a) 10 V
c) 30 V
b) 20V
d) 40 V

Answers

To find the potential difference (V) across a resistor, you can use Ohm's Law, which states that V = I * R, where I is the current and R is the resistance.

In this case, the 10 ohm resistor has a current of 2 A passing through it. Therefore, the potential difference across the 10 ohm resistor is V = 2 A * 10 ohms = 20 V.

Since the 5 ohm resistor is connected in series with the 10 ohm resistor, the potential difference across both resistors will be the same. Thus, the potential difference across the 5 ohm resistor is also 20 V.

Therefore, the correct answer is b) 20 V.
The correct answer is the a) 10V

Explanation:
You know that 10 ohm resistor and 5 ohm resistor are connected in series so the potential difference between the two resistors is different
So you had to do:
∆V2= R2 • I(tot)= 5•2= 10V

Tell me if you need the explanation

cher
29. Using a scale of 1 centimeter = 1 newton, represent the following displacement vecto
(a) 5 newtons west
(b) 3 newtons, 270°
(c) 4 newtons, 0°
A box is accelerated to the left horizontally across a floor Draw a free-hody diaoram
3.0

Answers

Using a scale of 1 centimeter = 1 newton, the following displacement vector is

(a) 5 newtons west 5 centimeter.

(b) 3 newtons, 270° 3 centimeter.

(c) 4 newtons, 0°, 4 centimeter.

The International System of Units (SI) uses the centimetre (cm) as a measure of length. It is a handy unit for measuring short distances because its definition is one tenth of a metre. 0.01 metres or 0.3937 inches make up one centimetre.

In the SI system, a newton (N) is a unit of force. It is described as the amount of pressure necessary to accelerate a mass of one kilogramme at a speed of one metre per second squared (m/s2). The force required to accelerate a mass of one kilogramme by one metre per second squared is comparable to one newton, in other words.

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Determine the percentage of kinetic energy lost by a small ball when it makes an elastic head-on collision with stationary bigger ball. The mass of the bigger ball is 12 times bigger than the mass of the small ball.

Answers

The small ball loses 2.37% of its kinetic energy during the elastic head-on collision with the stationary bigger ball.

\(\frac{Kf}{Ki} =\) \(1- [\frac{1}{2}][ \frac{M}{m}] [\frac{2mv^{2} }{[M+m]^{2} }\)

M = 12m

Kf/Ki = 1 - (1/2)(12m/m)[(2mv^2)/(13m)^2]

Kf/Ki = 165/169

(1 - Kf/Ki) x 100% = (1 - 165/169) x 100% = 2.37%

So, the small ball loses 2.37% of its kinetic energy during the elastic head-on collision with the stationary bigger ball.

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The refractive indices of materials A and B have a ratio of nA/nab=1,33. The speed of light in material A is 1.25 times 10^8m/s. What is the speed of light in material B?

Answers

The speed of light in material B is 1.6625 × 108 m/s.

The refractive index of a material is its optical density relative to that of a vacuum.

Material B has a refractive index of nB, and its speed of light is vB.

The speed of light in material A is given as 1.25 x 108 m/s.

The refractive indices of materials A and B have a ratio of nA/nB = 1.33.

We will use the formula:

nA/nB = vB/vA = nA/nB.

Therefore, nA/nB = vB/1.25 x 108 m/s.

This equation can be rearranged to give the speed of light in material B:

vB = nA/nB × 1.25 x 108 m/s.

Therefore, vB = 1.33 × 1.25 × 108 m/s.

We will perform this calculation:

vB = 1.6625 × 108 m/s.

Therefore, the speed of light in material B is 1.6625 × 108 m/s.

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Explain the light detection technique of photovoltaic detection​

Answers

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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