the amplitude of a lightly damped oscillator decreases by 3.72% during each cycle. what percentage of the mechanical energy of the oscillator is lost in each cycle?

Answers

Answer 1

The mechanical energy of the oscillator is lost in each cycle is 7.44%.

What is mechanical energy?

Mechanical energy- (Kinetic energy or potential energy-) is the energy- of either an objective in motions or the energy that is stored in objects by their position. Mechanical energy is also a driver of renewables to energy. Many forms of the  renewable energy relying on Mechanical energy to be the  adequately produced power or converted energy.

Since the energy is proportional to the amplitudes squared,then  we found the fractional changes (assumed small) is,

EE ,−E≈ E

dE=xm2dx

m2=xm2

2xmdxm=2x

mdx.m

Thus, if we approximately the fractional changes in  x

m​as x mdx m

then the above-mentioned calculations of shows that multiplying by  this by  2  should be give them fractional energy- change. Therefore, if  x

m decreases by  3.72%, then  E  must decreased by  7.44%.

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Related Questions

a small ferryboat is 4.70 m wide and 6.50 m long. when a loaded truck pulls onto it, the boat sinks an additional 3.70 cm into the river. what is the weight of the truck?

Answers

According to the given statement 11303.5 kg  is the weight of the truck.

What does physics' Archimedes principle entail?

The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.

Briefing:

The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.

B = ρ g V

It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.

          Σ F = 0

          B-W = 0

          B = W

body weight

          W = M g

the volume is

          V = l to h

          (l to h) = M g

          M = l a h

we calculate

          M = F = 1000 . 10. (4.70 x 6.50 x 0.037)  = 11303.5 N

          M = 11303.5 kg

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I NEED HELP ASAP PLSS

Answers

Answer:

C.) The United States would become less dependent on energies that emit greenhouse gases.

Explanation:

If nuclear energy increased, it would occupy a larger piece of the pie chart.  The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant.  This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used.  Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2.  An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.

9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)

A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.

Answers

Answer:

The answer seems to be,

A) The ball is accelerated while it is pushed by the student's hand due to an

A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.

(The answer might be wrong. )

what should the rotation curve for this galaxy look like for radii larger than 5 kpc, do you think? after 5kpc...

Answers

The rotation curve for this galaxy look like for raddi larger than 5kpc is angular velocity.

What is angular velocity?

Angular velocity is the speed at which the angle between 2 bodies changed whenever an object rotated or revolvers around an axis. This displacements is depicted in the images by the angle firmed by a line on one body andar a line on the other.

Angular velocity can be defined as the Speed at which an item rotates or revolvers around an axis. The Greeks letter Omega (occasionally ) stands for angular velocity. The SI unit for angular velocity is radians per second because it is the expressed as an angle per unit of times.

Orbital speed increase with radius beacuse it is directly proportional to radius  

Since V=wr

So on increasing with radius orbital speed also increases.

So here w is angular velocity.

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example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?
A spring-loaded to gun is used to launch a 10 plastic ball. The spring, which has a spring constant of 10 N/m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoot the ball back out horizontally.

Answers

Answer:

Below

Explanation:

ESE = 1/2 k d^2

        = 1/2 *  10 N/m * .1 m = .5 J

a typical tendon has a strength of 16000 pounds per square inch (psi). let's assume the achilles tendon is roughly rectangular in cross section with dimension of .4 inches x .2 inches. you can use this to calculate the force at which the achilles tendon will start to fail. at what force might the achilles tendon start to fail (in pounds, lb)?

Answers

An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.

How does science define force?

That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.

Inertia or a force?

Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.

Briefing:

Area of tendon 0.4×0.2

=0.08 square inch.

0.08 square inch tendon =16000×0.08

F =1280 pound.

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Maddy tripped and accidentally threw her phone off the hollywood cliff at 5m/s. It landed 20 away from the base of the cliff. how high is the cliff then?

Answers

The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m

How do I determine the height of the cliff?

To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:

Horizontal velocity (u) = 5 m/sHorizontal distance (s) = 20 mTime taken (t) =?

s = ut

20 = 5 × t

Divide both sides by 5

t = 20 / 5

t = 4 s

Finally, we shall determine the height of the cliff. Details below:

Time taken (t) = 4 sAcceleration due to gravity (g) = 9.8 m/s²Height (h) = ?

h = ½gt²

h = ½ × 9.8 × 4²

h = 4.9 × 16

h = 78.4 m

Thus, the height of the cliff is 78.4 m

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true or false: we can determine if a star is moving toward or away from earth by measuring its brightness.

Answers

We can determine if a star is moving toward or away from earth by measuring its brightness.

The correct answer would be:

[tex]\fbox{False}[/tex]

The diagram below represents a wave.
What is the speed of the wave if its wavelength is 3.0 m?

Answers

The speed of the wave is determined as 18 m/s.

option D is the correct answer.

What is the speed of the wave?

The speed of the wave is the rate of change of wave's displacement with time.

The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.

v = fλ

where;

v is the speed of the wavef is the frequency of the waveλ is the wavelength of the wave

The frequency of the wave is calculated as follows;

f = 1 / T

where;

T is the period of the wave

The period of a wave is the time taken for the wave to complete one cycle.

In the picture given, 3 cycles of the wave = 0.5 s

1 cycle of the wave = ?

= 0.5 s / 3

= 0.16667 s

f = 1 / T

f = 1 / 0.16667

f = 6 Hz

The speed of the wave is calculated as follows;

v = fλ

v = 6 Hz  x  3 m

v = 18 m/s

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when you looked at solar activity on the heliophysics event registry website, on which date did you find activity on the sun?

Answers

You did look at solar activity on the heliophysics event registry website, and we found activity on the sun on the specified day.

What three sorts of solar occurrences are there?

Any natural occurrence in the upper atmosphere of the sun is referred to as a solar phenomenon. Solar flares, prominences and filaments, and coronal mass ejections are three different categories of solar phenomena.

How can I follow the cycle of solar activity the best?

The simplest way we can investigate how solar activity changes over time is to survey sunspots, which is also how we track the solar cycle. Sunspots are associated with the Sun's natural 11-year cycle, during which the planet's surface changes from calm to turbulent.

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Newton's third law states that any action will have a(n) _______ and ______ reaction.

Answers

Newton's third law states that any action will have a(n) equal and opposite reaction.

a 40cm diameter wheel accelerates uniformly from 240 rpm to 360 rpm in 6.5 seconds. how far will a point on the edge of the wheel have traveled in this time

Answers

Answer:

S = V1 t + 1/2 a t^2        distance traveled for linear acceleration

θ = ω1 t + 1/2 α t^2       equivalent angle for rotational acceleration

ω1 = 240 / min * 2 π * 240 / (60 s/min) = 8 π / s

ω2 = 360 rpm = 12 π / s

α = 4 π/ 6.5 s^2  = .62 π / s^2    angular acceleration

θ = 8 π / s  6.5 s + .62 π / 2 * 6.5^2

θ = 52 π + 13 π = 65 π = 65 * π / (2 π / rev) = 32.5 rev

1 rev = 2 * π * R = 2 * π * .4 m = 2.51 m / rev

S = 32.5 rev * 2.5 m/rev =  81 m

what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n

Answers

The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is  147.2 N .

The Pascal's Law states that the relation between the pressure , force and area is given as :

Pressure = Force/Area ;

given that the diameter of the master cylinder is = 1.93 cm ;

so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;

the diameter of slave cylinder is = 24.9 cm ;

the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;

Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²

Area of the master cylinder (A₂) =  π(0.00965)² = 0.000292 m² ;

given mass of the car = 2500 Kg ,

the force exerted will be : F = m*a

F₁ = 2500*9.8 = 24500 N ;

F₁/A₁ = F₂/A₂

So , 24500/0.0486 = F₂/0.000292

F₂ = (24500/0.0486)×0.000292

F₂ = 147.2 N

Therefore , the force exerted on the master cylinder is 147.2 N  .

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an object in shm oscillates with a period of 4.0 s and an amplitude of 16 cm. part a how long does the object take to move from x

Answers

The object takes to move is 0.409s.

Calculaiton:

time period T = 4 s

Angular speed ω = 2π/T= 1.57 rad/s

SHM equation

x = A sin ωt

6 = 10 sin(1.57t)

sin(1.57t) = 0.6

1.57 t = 0.6435

t= 0.409s.

The amplitude of a periodic variable is a measure of its change over one period. The amplitude of an aperiodic signal is its magnitude relative to a reference value. Amplitude has various definitions, all of which are functions of the magnitude of the difference between extreme values ​​of a variable. It refers to the maximum displacement from equilibrium exhibited by a body in periodic motion.

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what was the value of the scale factor a when the dark energy density became equal to the matter density? show your work, please.

Answers

The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.

What's density in science?

Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.

How does density work?

How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.

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1. a 1.4 x 103 kg car is westbound at a velocity of 37.0 km/h when it collides with a 2.0 x 103 kg truck northbound at a velocity of 35 km/h. if these two vehicles lock together upon collision, what is the initial velocity of the vehicles after collision? (7.2 m/s 37o w of n) 2. a 6.2 kg object heading north at 3.0 m/s collides with an 8.0 kg object heading west at 3.5 m/s. if these two masses stick together upon collision, what is their velocity after collision? (2.4 m/s 56o w of n) 3. a 4.0 x 104 n truck moving west at a velocity of 8.0 m/s collides with a 3.0x104 n truck heading south at a velocity of 5.0 m/s. if these two vehicles lock together upon impact, what is their velocity?(5.0 m/s 25o s of w)

Answers

The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg

We know that we need to conserve the momentum of watermelon in a certain direction. Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

We know that momentum =mass × velocity

So,initial momentum of car is =1.4 × 10³kg × 37km/hr

Similarly,,initial momentum of truck=2×10³kg × 35km/hr

Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg +  2×10³kg=3.4 ×10³kg

Assume final velocity of both vehicle is v

So,following the law of conservation,we get

=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v

=>51.8 ×10³ + 2×10³=3.4×10³ ×v

=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v

=>v = 53.8/3.4

=>v=15.82m/sec

Hence,final velocity of both vehicle after collision is 15.82m/sec.

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John walks to the pizza place for lunch. He walks 2 km north, then 1 km east. To get home, he walks 2 km west and 1 km south. What distance did he travel? What is his displacement?

Answers

Answer:

The total distance covered is 3 km and the displacement is 2.24 km.

Explanation:

For the total distance covered by Anthony, we just add all of the distances.

1 km (going east) + 1 km (going east again) + 1 km (going south) = 3 km

Hence, the his total distance covered when he went to the pizza place is 3 km.

Solving for the displacement is a different matter. We cannot just add all of the distances. From analysis of the problem, Anthony traveled and formed a right triangle. He traveled 1 km east twice, making it 2 km east in total, then he traveled 1 km south.

When dealing with a right triangle with 2 sides given (for this problem the two sides are the 2 km east and the 1 km south), we use the Pythagorean Theorem.

Solution:

c² = a² + b²  (Pythagorean Theorem)

c will be the longest side of the right triangle

a and b will be the other sides of the right triangle

c = √ (a² + b²)

c = √ (2² km + 1² km)

c = √5 km

c = 2.2361 km ≈ 2.24 km

Therefore, the displacement of Anthony is 2.24 km.

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a hockey puck is hit on a frozen lake and starts moving with a speed of 13.20 m/s. exactly 5.6 s later, its speed is 6.60 m/s. what is the puck's average acceleration?

Answers

-1.17 is the average acceleration when a hockey puck is hit on a frozen lake and starts moving with a speed of 13.20 m/s. Perfectly,5.6 s later, its speed is 6.60 m/s.

What is an average acceleration?The rate of change in velocity, or the change in velocity per unit time, is known as average acceleration. The square of the distance over time is used to measure acceleration. Hence, the unit of acceleration is known to be as m/[tex]s^{2}[/tex]. Average is read as a symbol with a bar over it, so a-bar represents average acceleration.

Solution:

Given:

Initial sped =13.20m/sFinal speed=6.60m/stime taken=5.6s

Now, to find the average acceleration we use the following formula;

Acceleration, [tex]a_{avg}[/tex] =[tex]\frac{v^{final}-v^{initial} }{time}[/tex]

⇒[tex]a_{avg}[/tex]=6.60-13.20/5.6 = -1.17m/[tex]s^{2}[/tex]

Hence, -1.17 is the average acceleration when a hockey puck is hit on a frozen lake and starts moving with a speed of 13.20 m/s. Perfectly, 5.6 s later, its speed is 6.60 m/s.

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7. What is the weight of a ball with a mass of 0.77 kg? (hint: how fast is gravity?)

Answers

Answer:

While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).

On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)

Explanation:

5. if the star sirius emits 23 times more energy than the sun, why does the sun appear brighter in the sky? include the terms luminosity and apparent brightness in your response.

Answers

The star Sirius is indeed brighter but our Sun appears to be brighter because it is closer to us.

The intrinsic luminosity of Sirius is exactly 25.4 times more than the sun but if we compare the distances of these stars, Sirius is 8.6 light years away from us and the Sun is just 8 light minutes away from us. This marks the obvious reason why our Sun appears more bright.

Even mathematically, it can be justified as the apparent brightness of any luminous object depends on the inverse square of the distance of that luminous object. Therefore the sun's light energy dominates our sky and we can't see any traces of Sirius from the earth.

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an increase in sound level from 30 db to 50 db requires an increase in sound intensity by a factor of:

Answers

Loudness increases by 10 dB for every dB increase in sound intensity. A 40-decibel light rainstorm is 100 times louder than a whisper, whereas a 30-decibel "silent" room is 10 times louder than a 20-decibel whisper. Loud noises can be harmful.

50 dB is how much louder than 20 dB?

A 10 dB rise results in a two-fold increase in volume. The loudness will therefore rise by nearly 8 times with a 30 dB increase (from 20 dB to 50 dB).

Decibels are measured on a logarithmic scale using a power of ten, which might be perplexing. For those of you without advanced math degrees, this simply implies that the sound intensity doubles for every 10 decibel rise.

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a car accelerates uniformly from rest to 25 m/s over a distance of 30 meters. what is the acceleration of the car?

Answers

Answer:

a=25/24 m/s^2

Explanation:

I’m going to assume you mean the final velocity is 25m/s.

v^2=u^2+2as

625=0+2a300

a=25/24 m/s^2 or 1.0416^_ (period 1) ^m

9. a soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. what wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?

Answers

When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated =  5.32 *10^-7 m.

What is index of refraction?

The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.

Given, t= 100nm= 100 * 10 ^-9  n= 1.33

ΔФ1 = λ/4

ΔФ2 = 2√2 t λ n/2 λ

=2 t n

=2 * 100 * 10 ^-9 * 1.33

= 2.66 *10^-7

2.66 *10^-7= λ/2

λ=  5.32 *10^-7 m.

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it’s actually 7th grade science no physics pls answer it’s a lot of points

What do the historical communication technologies in these photos have in common?
(pictures are shown below)

Answers

All the tools of communication such as the drum, telegraph et cetra were used for emergency communication.

What is communication?

We know that communication has to do with the art of sending and receiving information between two people who may or may not be at the same place. We know that the dissemination of information is a very important aspect of life and we have always tried to invent means of communication especially at times when we have an emergency situation that needs a kind of an immediate remedy.

We can see that all the kinds of communication gadgets that have been show here are all from a period that is far behind the kind of civilization that we have to day and the kind of thge communication gadgets that are quite available to the people that are around today.

However, all the tools shown could be used to send information in times of emergency.

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calculate the height of the coulomb barrier for the head-on collision of two deuterons. take the effective radius of a deuteron to be 2.1 fm.

Answers

The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)

How to fix it?

We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.

if r is a deuteron's radius, then by the law of conservation of energy, we get,

2K=1/4πϵo. e²/2r

putting values, we get

K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.

How can the height of a potential barrier be determined?

J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,

What is the calculation for height?

5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).

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two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide. what can you determine about the planets

Answers

Two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide therefore what we can determine about the planets is that x is Earth while y is Venus.

What is Atmosphere?

This is referred to as the envelope of gases surrounding the earth or another planet and it makes life possible by providing different organisms with air to breathe

In the atmosphere of the planet Venus there is a high concentration of carbon dioxide as it is made up of  it is made of 96.5% of CO₂ and a 3% of nitrogen.

On the other hand in the atmosphere of the planet Earth, there is a high concentration of nitrogen which is about 78% and is therefore the reason why they were chosen as the correct choices.

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one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false

Answers

True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.

One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.

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A car advertisement states that a certain car can accelerate from rest to 30 m/s in 5 seconds. Find the car’s average acceleration. (Prefered if using KWEPA method!)

Answers

The car’s average acceleration is 6 meter/second^2.

What is acceleration?

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).

Given that: the car can accelerate from rest to 30 m/s in 5 seconds.

Hence, average acceleration of the car = change in speed/time interval

= ( final speed - initial speed)/time interval

= ( 30 m/s - 0 m/s) / 5 second

= (30/5) meter/second^2

= 6 meter/second^2.

Hence, the  average acceleration of the car  is  6 meter/second^2.

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a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. How much work was done by the dog ?

Answers

The work done by the dog is 0.81J.

What is work done?

Work done is a measure of energy expended in moving an object; most commonly calculated by multiplying the force by the distance.

It is said that no work is done if the object does not move.

The work done on an object is the amount of energy transferred to an object through work.

According to this question, a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. The force applied to break the bone must be calculated first as follows:

Force = mass × acceleration

Force = 0.75kg × 9.8m/s²

Force = 7.35N

Work done = 7.35N × 0.11m = 0.81J

Therefore, 0.81J is the work done by the dog.

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3. A force of 70N is applied to a 10kg box with a friction force of 30N opposing it's motion. The box starts
from rest and reaches a speed of 5m/s. Determine the distance over which the force acts on the box.

Answers

The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m

How do I determine the distance ?

We'll begin by obtaining the acceleration of the box. Details below:

Force applied = 70 NForce of friction = 30 NNet force = Force applied - Force of friction = 70 - 30 = 40 N Mass of box = 10 KgAcceleration (a) =?

Net force = mass × acceleration

40 = 10 × acceleration

Divide both sides by 10

Acceleration = 40 / 10

Acceleration = 4 m/s²

Finally, we shall determine the distance. Details below

Initial velocity (u) = 0 m/sFinal velocity (v) = 5 m/s Acceleration(a) = 4 m/s²Distance (s) =?

v² = u² + 2as

5² = 0² + (2 × 4 × s)

25 = 0 + 8s

25 = 8s

Divide both side by 8

s = 25 / 8

s = 3.125 m

Thus, we can conclude that the distance covered is 3.125 m

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