DUE TODAY MIDNIGHT PLEASE HELP!!!!

Describe the process involved in the tip to tail addition of vectors.

Answers

Answer 1

Via moving one vector so that its tail sits on the tip of the first vector, you may add by the tip-to-tail approach. New vector drawn from first vector's origin to the second vector's arrow is the resulting vector, A+B, or the sum of the two.

What is the process of vector addition?The head of the first vector must meet the tail of the second vector in order for two vectors to be added together, according to the triangle law of vector addition. We may thus acquire the resulting sum vector by connecting the head of the second vector to the tail of the first vector.The vector's terminal point is the arrow's tip, and its starting point is the arrow's tail. A vector whose magnitude is 0 is known as the zero vector. The only vector without a clear direction is this one.The parallelogram law of vector addition and the triangle law of vector addition are the two different forms of vector addition.

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Related Questions

The gravitational acceleration on earth is 9.8m/s. What is the weight of a car on earth (to the nearest whole number) if it has a mass of 1360kg

Answers

Answer:

1360*9.8

=13328 joules

If in the circuit shown in figure below, the reading on the voltmeter is 5 V and the reading on the ammeter is 25 mA, the resistance of resistor R is:

Answers

Voltage=V=5VCurrent=I=25mA=25×10^-3AResistance be R

Apply ohms law

\(\\ \rm\hookrightarrow R=\dfrac{V}{I}\)

\(\\ \rm\hookrightarrow R=\dfrac{5}{25\times 10^{-3}}\)

\(\\ \rm\hookrightarrow R=0.2\times 10^{-3}\)

\(\\ \rm\hookrightarrow R=0.0002\Omega\)

what is attribute conformity? what is the resulting decision from attribute measurement results?

Answers

Attribute conformity is one that classifies each item in the sample as either having some attribute or not having it.

Variation present in your measurement system will affect the quality of the product and can damage your company's brand.

Purpose of Attribute measurement system analysis:

Accuracy check:

To access the customer standard, need to fulfill the customer's requirement, which means MSA performs to identify how good is our measurement system with our masters.

Precision check:

To determine that, the inspector can measure correctly. Is he checking with the same criteria across all shifts, machines, etc… to measure and evaluate parts and also called Repeatability

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4. An airplane normally flies at 240 km/hr. If it experiences a 80 km/hr tailwind
then its resultant velocity will be km/hr.

Answers

Answer:

Its resultant velocity will be 320 km/h.

Explanation:

The tail wind is called the wind that brings greater speed to an airplane, because it has the same direction as the airplane and, therefore, contributes a positive force to the force that the airplane's engines print on it.

Thus, a tailwind adds its speed to the speed of the plane, developing a resulting speed higher than that marked on the air transport speedometer.

In the case, given that the speed of the plane is 240 km / h and the tail wind is 80 km / h, the resulting speed will be 320 km / h.

Calculate the force of gravity on the 0.90-kg mass if it were 6.4×106 m
above Earth's surface (that is, if it were two Earth radii from Earth's center).
Express your answer to two significant figures and include the appropriate units.

Answers

Answer:

Explanation:

Doubling the distance reduces the gravity force by four.

F = 0.90(9.8/4) = 2.205 = 2.2 N

could also use F = GmM/r²

F = 6.674e-11(0.90)(5.972e24) / (6.4e6 + 6.4e6 )² = 2.1894... = 2.2 N

Two capacitors 6 micro farad and 8 micro farad are connected in parallel. The combination is then connected in series with a 12 V battery and 14 micro farad capacitor. What is the charge on the 6 micro farad capacitor?​

Answers

The charge on the 6 μF capacitor is 10.29 μC.

What is the charge of capacitor?

The charge of a capacitor is the amount of electric charge stored on its plates due to the potential difference (voltage) between them. The charge is directly proportional to the capacitance and the voltage across the capacitor, according to the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage.

First, we can calculate the equivalent capacitance of the two capacitors connected in parallel:

\(C_{parallel}\)= C1 + C2 = 6 μF + 8 μF = 14 μF

Next, we can calculate the total equivalent capacitance of the circuit, which is the capacitance of the parallel combination in series with the 14 μF capacitor:

1/\(C_{total}\) = 1/ \(C_{parallel}\) + 1/C3

1/\(C_{total}\) = 1/14 μF + 1/14 μF

1/\(C_{total}\) = 1/7 μF

\(C_{total}\) = 7 μF

Using the formula Q = CV, we can calculate the charge on the 6 μF capacitor:

Q = C × V = 6 μF × 12 V / 7 μF = 10.29 μC

Therefore, the charge on the 6 μF capacitor is 10.29 μC.

What is capacitance?

Capacitance is the ability of a capacitor to store electric charge when a voltage is applied across its terminals. It is defined as the ratio of the electric charge stored in the capacitor to the voltage applied to it, and its unit is the farad (F). A capacitor with a high capacitance value can store more charge for a given voltage than a capacitor with a lower capacitance value.

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URGENTTTT
Referring to the graph in the section header, what was his displacement between 100 and 300 seconds?


Referring to the graph in the section header, what was the runner's velocity during segment D?

URGENTTTT Referring to the graph in the section header, what was his displacement between 100 and 300

Answers

The displacement of the runner according to the graph is obtained as 250 m.

What is the displacement?

The term displacement has to do with the distance that is covered in a specified direction. The difference between distance and displacement is that displacement is a vector while distance is a scalar quantity.

Thus we bring the direction into play when we are talking about the displacement of the object. Now we have a graph that shows the displacement of the runner in the vertical axis and then shows the time that is taken in the horizontal axis.

Given the graph as we have it, we can be bale to pick out the following from the graph;

1) Displacement of the runner at 100 s = 500 m

2) Displacement of the runner at 300 s = 750 m

Therefore;

Displacement of the runner between 100 and 300 seconds;

750 m - 500 m = 250 m

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The following are four electrical components.
A. A component which obeys ohm's law
B. Another component which obeys ohm's law
but which has higher resistance than A
A filament lamp
C.
D. A component, other than a filament lamp,
which does not obey ohm's law.
a. For each of these components, sketch current-
voltage characteristics, plotting current on the
vertical axis, and showing both positive and
negative values. Use one set of axes for A and
B, and separate sets of axes for C and for D.
label your graphs clearly.
b.
Explain the shape of the characteristic for C
c. Name the component you have chosen for D.

Answers

For the following are four electrical components:

a. For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction.

For the following are four electrical components:

a. Sketches of current-voltage characteristics:

For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

  Current (I)

     ^

     |          B

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

     Current (I)

     ^

     |          A

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

For component C, a filament lamp, the current-voltage characteristic would be a curve that is not linear. It would exhibit a non-linear increase in current with increasing voltage. At lower voltages, the lamp would have low resistance, but as the voltage increases, the resistance of the filament also increases due to the phenomenon of thermal self-regulation. This leads to a slower increase in current at higher voltages.

For component D, a component that does not obey Ohm's law, the current-voltage characteristic could be any non-linear curve depending on the specific component chosen. Examples of components that do not obey Ohm's law include diodes and transistors.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it. As the voltage across the filament increases, the temperature of the filament increases as well, causing its resistance to increase. This increase in resistance results in a slower increase in current with increasing voltage, leading to the characteristic non-linear curve observed.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction. It exhibits a non-linear current-voltage characteristic where it conducts current only when the voltage is above a certain threshold, known as the forward voltage. Below this threshold, the diode has a high resistance and blocks current flow in the reverse direction. The characteristic curve of a diode would show negligible current flow until the forward voltage is reached, after which it exhibits a rapid increase in current with a relatively constant voltage.

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Raju completes one round of a circular track of diameter 200m in 30s. Calculate
a. The distance travelled by Raju
b. The magnitude of displacement travelled by Raju at the end of 30 s.

Answers

Explanation:

Given:

Diameter = 200 m

Radius, r = 200/2 = 100 m

Time taken, t = 30 seconds

Formula to be used:

Distance traveled, = circumference of circle = 2πr

Answer:

Putting all the values, we get

Distance traveled = 2πr

Distance traveled = 2 × 22/7 × 100 Distance traveled = 4400/7 Distance traveled = 628.57 m

So, the distance traveled by Raju is 628.57 m.

Now, magnitude of the displacement,

At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.

SOMEONE PLEASE HELP ASAP !

SOMEONE PLEASE HELP ASAP !

Answers

Answer:

Its A

Explanation:

I already answered that question

Coulomb is the unit of which quantity?

Answers

Answer:

electric charge

Answer:

Electric charge.

Explanation:

Coulomb, unit of electric charge in the metre - kilogram - second - ampere system, the basis of the SI system of physical units. It is abbreviated as C. The coulomb is defined as the quantity of electricity transported in one second by a current of one ampere.

In hiking, what fitness component is required of you

Answers

It’s strength, endurance and flexibility. Hope this helps

reckless rick is driving along the road at 80 km/h and bumps into hapless harry, who is directly in front of him and is driving at 88 km/h. what is the speed of the collision?

Answers

Answer:

hdiszvkebxobezuwkwhdkd

Explanation:

csiejusjixjdabsijzjeod

1. The distance between New York City and Dallas is about 1500 miles. Assume you drive to New York City at an average velocity of 80 miles per hour - how many hours will it take to reach New York City?​

Answers

Answer: 22 hours 15 minutes

Explanation: The calculated flying distance from New York City to Dallas is equal to 1371 miles which is equal to 2206 km. If you want to go by car, the driving distance between New York City and Dallas is 2492.32 km. If you ride your car with an average speed of 112 kilometers/hour (70 miles/h), travel time will be 22 hours 15 minutes.

If velocity of the car is given as v(t)= 10+3t+512. Determine the acceleration at t=2s.

Answers

Given data

*The given velocity of the car is v(t)= 10 + 3t + 512

The acceleration of the car is calculated as

\(\begin{gathered} a(t)=\frac{d}{dt}(v(t)) \\ =\frac{d}{dt}(10+3t+512) \\ =3m/s^2 \end{gathered}\)

Thus, the acceleration of the car at t = 2 s is 3 m/s^2

I'LL MARK BRAINLIST

• A steel wire 4.7 m long stretches 0.11 cm when it is subjected to a tension of 360 N. What is the spring constant of the wire? ​

Answers

Answer:

Explanation:

length = 4.7 m

extension x = (0.11 /100) m + 4.7 m

= 4.7011 m

force = 360 N

spring constant k = ?

formula : F = kx

k = F/ x

k = 360 ÷ 4.7011

k= 76.578 Nm^-1

The spring constant of the wire of a steel wire 4.7 m long stretches 0.11 cm when it is subjected to a tension of 360 N is 76.57 N/m.

What is the spring constant?

Simple, symmetrical motion i.e., SHM is a genuinely fascinating kind of agitation. It is continuously used in the objects' oscillatory motion. Most springs have SHM. The "spring constants" that are intrinsic to springs determine how stiff they are. A well-known law, Hooke's law, describes the SHM and provides a formula for the applied force using the spring constant.

Simple harmonic motions and Hooke's law are related to the definition of the spring constant. Therefore, we must first examine Hooke's rule before attempting to define the spring constant and comprehend how it operates.

Given:

The tension force, T = 360 N,

The length of the wire, L = 4.7 meters,

The elongation, l = 0.11 cm,

Calculate the spring constant by the following formula,

k = T / l

( l = x(0.11 /100) m + 4.7 m= 4.7011 m)

Here, k is the spring constant.

Substitute the values,

k = 360 / 4.7011

k = 76.57 N / m

Therefore, the spring constant of the wire of a steel wire 4.7 m long stretches 0.11 cm when it is subjected to a tension of 360 N is 76.57 N/m.

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What is the SI unit of measurement for mass?

Answers

Answer:

kilogram

Explanation:

Answer:

kilogram!

Explanation:

A transformer has a primary coil with 175 turns of wire and a secondary coil with 700 turns. An AC voltage source connected across the primary coil has a voltage given by the function
Δv = (200 V)sin(t).
What rms voltage (in V) is measured across the secondary coil?

Answers

The rms voltage measured across the secondary coil is 565.68 V.

What does rms value mean?

The root mean square (RMS) value of an alternating current (AC) or voltage is the equivalent steady direct current (DC) value that produces the same heating effect or power dissipation in a resistor. In other words, it is the DC voltage or current that would produce the same amount of heat as the AC voltage or current over a given time period.

The rms voltage (V_rms) across the secondary coil can be calculated using the formula:

V_rms,secondary = (N_secondary/N_primary) * V_rms,primary

where N_secondary is the number of turns in the secondary coil, N_primary is the number of turns in the primary coil, and V_rms,primary is the rms voltage across the primary coil.

The rms voltage across the primary coil can be found from the given voltage function:

V_rms,primary = (1/√2) * V_peak,primary

where V_peak,primary = 200 V is the peak voltage across the primary coil.

Substituting the values, we get:

V_rms,primary = (1/√2) * 200 V = 141.42 V

Now, using the formula above, we can calculate the rms voltage across the secondary coil:

V_rms,secondary = (700/175) * 141.42 V = 565.68 V

Therefore, the rms voltage measured across the secondary coil is 565.68 V.

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When looking at a sample of potatoes, what biomolecule would there be a lot of?

Answers

Potatoes mostly consist of starch, a complex carbohydrate produced by plants as a means of storing energy.

Are potatoes proteins or lipids?

As starch accounts for the majority of potatoes' calories, they are categorised as a carbohydrate vegetable rather than a lipid. Potatoes, like the majority of foods, are a balance of fat, protein, and carbohydrates.

What biomolecule is the most prevalent in living things?

The most prevalent biomolecules on earth are carbohydrates, which include cellulose, starch, creatine, glucose, fructose, and others. Through the process of photosynthesis, carbohydrates are created by reducing the carbon dioxide in the atmosphere with the aid of light energy.

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Mark weighs 375 N and is carrying a full-sized cello as he climbs the stairs to a height of 4 m. It takes him 3 seconds to do this.
How does the amount of work he does change if he were to climb the same flight of stairs again in the same amount of time, but this time without the cello?

A) It depends on the weight of the cello.

B) It remains the same.

C) It increases

D) It decreases.

Answers

Mark's work decreases when he climbs the same flight of stairs again in the same amount of time without the cello.

The correct answer is option D.

The amount of work Mark does depends on the weight of the cello, as well as the distance he climbs and the time it takes. Work is calculated using the formula :

Work = Force × Distance.
In the given scenario, Mark is carrying a full-sized cello while climbing the stairs. The weight of the cello adds to the force he exerts. So, the total force Mark exerts is the weight of the cello plus his own weight (375 N).

When Mark climbs the stairs with the cello, he is doing work against the force of gravity.

The work done is equal to the force exerted multiplied by the distance climbed (375 N + weight of cello) × 4 m.

Now, if Mark were to climb the same flight of stairs again in the same amount of time (3 seconds), but this time without the cello, the amount of work he does would decrease. This is because without the cello, the force exerted would only be Mark's weight (375 N), which is less than the total force exerted with the cello.

Therefore, mark's work decreases.

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A bar has a 20 N weight at one end, as shown in Figure 7.22. You have a weight of 15 N to hang somewhere on the bar so that the bar is in equilibrium. Where would you hang the 15 N weight on each of these bars? Consider the bar to have no mass.​

Answers

The weight of 15N should be hung at a distance of 4/3 units from the fulcrum, on the opposite side of the bar to a weight of 20N.

The fulcrum is attained equilibrium when the principle of moments is equal to zero. The principle of momentum is defined as the body is said to be balanced when the clockwise movement about the point is equal to the anticlockwise movement about the same point.

When a weight of 15N is hung on the bar, it produces an anticlockwise movement with the same magnitude, opposes the clockwise moment produced by the weight of 20N on the fulcrum.

To find the distance (d) at which the 15N weight should be hung, the distance from the 20N weight to the fulcrum is 1 unit.

20×1 = 15×d

d = 20/15

  =4/3 m

Thus, the weight of 15N should be hung by the distance of 4/3 units from the fulcrum, on the opposite side of the bar having the weight of 20N, to make the fulcrum to be at equilibrium.

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What trend do you observe in the Total Energy column at all the positions?

Answers

Do you notice a pattern in the Total Energy column for all the spots where the skater turns and returns in the opposite direction? Its highest value at those locations.

How does energy work in Example?

Various types of energy are present. These include, for instance, energy from light, heat, mechanical motion, gravity, electricity, sound, chemicals, nuclear or atomic energy, and so forth. It is possible to alter or convert one form into another.

What kind of energy comes primarily from?

The main energy sources in the environment are fossil fuels like coal, oil, natural gas, uranium, and biomass. With the exception of biomass, none of the principal fuel sources are renewable. Renewable energy sources including geothermal energy, the sun's rays, the wind's movement, and the water's flow are also considered primary sources.

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Louis Armstrong ride his bike 55km east time trial in 51 minutes what was his average velocity in KM/min?

Answers

Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

How to determine average velocity?

To calculate the average velocity, divide the total displacement by the total time taken. In this case, Louis Armstrong rode his bike 55 km to the east in a time trial lasting 51 minutes.

Average Velocity = Displacement / Time

Displacement = 55 km (since he rode 55 km to the east)

Time = 51 minutes

Average Velocity = 55 km / 51 min

To express the average velocity in km/min, convert the time from minutes to minutes.

1 hour = 60 minutes

Average Velocity = 55 km / 51 min × (1 hour / 60 min)

Average Velocity = 55 km / 51 min × (1/60) hour

Simplifying the expression:

Average Velocity = 1.078 km/min

Therefore, Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

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g a particle is moving with the given data. find the position of the particle. v(t) = 1.5 t , s(16) = "72"

Answers

Refer to the attached image
g a particle is moving with the given data. find the position of the particle. v(t) = 1.5 t , s(16) =

What is the current in the 60.0 Q resistor? 120.0 V O A. 80.0 A B. 2.00 A O C. 1.50 A OD. 12.0 A 60.002 20.0 Q A​

Answers

2A

Given ,

Resistance=60

V=12

V=IR

I=V/R

I=120/60=2A

The pace at which electrons flow past a location in a complete electrical circuit is defined as current. At its most fundamental, current Means flow.

An ampere (AM-pir), sometimes known as an amp, is the international unit for measuring current. It denotes the number of electrons (also known as "electrical charge") that pass across a location in a circuit over a specific time period.

A current of one ampere indicates that one coulomb of electrons—that is, 6.24 billion billion (6.24 x 1018) electrons—moves across a circuit in one second. The method is comparable to determining how many gallons move through a single spot in a pipe in one minute (gallons per minute, or GPM).

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Fiber optic (FO) cables are based upon the concept of total internal reflection (TIR), which is achieved when the FO core and cladding have the same refractive indices.

a. True
b. False

Answers

Answer:

False

Explanation:

Though fiber active cable is based on the concept of internal reflection but it is achieved by refractive index which transmit data through fast traveling pulses of light. It has a layer of glass and insulating casing called “cladding,”and this is is wrapped around the central fiber thereby causing light to continuously bounce back from the walls of the Cable.

help pls!!

Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.

A) What is the amplitude of the wave ? Include correct units.
B) Use the graph to determine the time of one wave. Use it to find the frequency.
C) If the speed of the wave is 25 cm/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.

help pls!!Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.A)

Answers

(a) The amplitude of the wave is determined as 8 cm.

(b) The period of the wave motion is  20 s and the frequency of the wave is 0.05 Hz

(c) The wavelength of the wave is 500 cm.

What is the amplitude of the wave ?

(a) The amplitude of the wave is the maximum displacement of the wave.

from the graph, amplitude of the wave = 8 cm

(b) The period of the wave motion is calculated as;

T = 20 s

The frequency of the wave = 1/T = 1/20 s = 0.05 Hz

(c) The wavelength of the wave is calculated by applying the following wave formula.

λ = v / f

λ = 25 cm/s / 0.05 Hz

λ = 500 cm

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What is the moment of inertia of the wheel?

What is the moment of inertia of the wheel?

Answers

The moment of inertia of the wheel is calculated as 0.0125 kg m².

What is moment of inertia?

Moment of inertia is a measure of any object's resistance to the rotational motion, similar to how mass is a measure of object's resistance to linear motion. Moment of inertia depends on the distribution of mass in the object and axis of rotation.

Moment of inertia of a solid cylinder rotating about its central axis is: I = (1/2) * M * R²

M is mass of the wheel and R is its radius.

So I = (1/2) * 1.41 * (0.130 )²

I = 0.0125 kg m²

Therefore,  moment of inertia of the wheel is 0.0125 kg m².

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An object has a velocity (4.04 m/s)i + (-4.96 m/s)j + (4.44 m/s)k. In a time of 3.84 s its velocity becomes (-3.75 m/s)i + (0.00 m/s)j + (4.44 m/s)k. If the mass of the object is 2.97 kg, what is the magnitude of the net force on the object, in N, during the 3.84 s? Assume the acceleration is constant.

Answers

The magnitude of the net force on the object is 7.15 N.

What is the resultant velocity of the object?

The resultant velocity of the object is calculated as follows;

|v| = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)² ]

where;

x₂  is final velocity in x directionx₁ is initial velocity in x directiony₂ is final velocity in y directiony₁ is initial velocity in y directionz₂ is final velocity in z directionz₁ is initial velocity in z direction

|v| = √[(-3.75 - 4.04)² + (0 - -4.96)² + (4.44 - 4.44)² ]

|v| = 9.24 m/s

The net force experienced by the object is calculated as follows;

F = ma

F = (mv)/t

F = (2.97 kg x 9.24 m/s) / (3.84 s)

F = 7.15 N

Thus, we can conclude that the object will experience a net force of 7.15 N.

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a cylindrical solid object of mass 400g and radius of 20cm is rolling down as inclined plane at speed of 3m/s. calculate the kinetic energy of the given object.​

Answers

Answer:2.7 joules

Explanation:

Rolling Cylinder Kinetic Energy.

A cylindrical solid object of mass 400g and radius of 20cm is rolling down as inclined plane at speed of 3m/s. calculate the kinetic energy of the given object.​

To calculate the kinetic energy of a rolling cylinder, we need to use the formula for rotational kinetic energy, which is:

K_rotational = (1/2) * I * ω^2

where I is the moment of inertia and ω is the angular velocity.

For a cylinder rolling without slipping down an inclined plane, the total kinetic energy is the sum of translational kinetic energy and rotational kinetic energy, which is:

K_total = K_translational + K_rotational

where K_translational is given by:

K_translational = (1/2) * m * v^2

where m is the mass of the cylinder, and v is its linear velocity.

First, let's find the moment of inertia of the cylinder. For a solid cylinder, the moment of inertia is given by:

I = (1/2) * m * r^2

where r is the radius of the cylinder. Substituting the given values, we get:

I = (1/2) * 0.4 kg * (0.2 m)^2 = 0.008 kg·m^2

Next, let's find the linear velocity of the cylinder. The speed of the cylinder is given as 3 m/s, so the linear velocity is:

v = 3 m/s

Now we can calculate the translational kinetic energy:

K_translational = (1/2) * m * v^2 = (1/2) * 0.4 kg * (3 m/s)^2 = 0.9 J

Finally, we can calculate the rotational kinetic energy:

K_rotational = (1/2) * I * ω^2

Since the cylinder is rolling without slipping, the linear velocity is related to the angular velocity as:

v = ω * r

Rearranging this equation, we get:

ω = v / r = 3 m/s / 0.2 m = 15 rad/s

Substituting the values, we get:

K_rotational = (1/2) * 0.008 kg·m^2 * (15 rad/s)^2 = 1.8 J

Therefore, the total kinetic energy of the cylinder is:

K_total = K_translational + K_rotational = 0.9 J + 1.8 J = 2.7 J

Therefore, the kinetic energy of the given object is 2.7 Joules.

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