gendo is driving a car at 20 m/s when he suddenly slams on the brakes, locking the wheels. the coefficient of kinetic friction between the tires and the road is 0.84. what is the speed of the car 1.4 seconds after he slams on the brakes? ignore air resistance

Ampere. A ____ is one thousandth of an amp. the current utilized for face and scalp treatments is measured in milliamperes.

The electrical potential difference is measured in volts. The force that propels electrons across an electrical circuit to create an electric charge that is measured in amperes is another way to define volt. Amperes are units used to quantify electric current, or even the number of electrons moving across a circuit.

He developed the astatic needle, an indispensable facet of the contemporary astatis galvanometer, that was the first to show that a magnetic field is produced when parallel wires are electrically charged. He is usually acknowledged as the first to develop electromagnetic.

To know more about Ampere visit:

https://brainly.com/question/26526828

#SPJ4

Answer:

Below

Explanation:

I  believe that equation is   v = sqrt ( 19.6 h )      

 when h = 21 :

    v = sqrt (19.6  * 21) = 20.3 m/s

The average flow-rate of gasoline in cm³/s is 2.78 cm³/s to start the engine while travelling at 100 km/h.

In order to decide the Flow Rate represented as Q, we have to outline each the quantity V and the factor in time it's far flowing beyond represented through t, or Q = V/t. Additionally Flow price and pace are associated through the equation Q = Av wherein A is the cross-sectional vicinity of glide and v is its common pace.

Flow is the quantity of fluid that passes in a unit of time. In water resources, glide is regularly measured in gadgets of cubic toes consistent with second (cfs), cubic meters consistent with second (cms), gallons consistent with minute (gpm), or different numerous gadgets.

From the question : Q = v/A'.................... Equation 1

Where Q = Average flow rate, A' = inverse of Area, v = velocity of the car.

Given: v = 100 km/h, A' = 10 km/L

Substitute this value into equation 1

Q = 100/10

Q = 10 L/h.

Now, we convert L/h to cm³/s.

Since,

1 L = 1000 cm³, and

1 h = 3600 s

Therefore,

Q = 10(1000/3600) cm³/s

Q = 2.78 cm³/s

Learn more about flow rate visit: brainly.com/question/27880305

#SPJ4

Answer:

0.21 brokies

Explanation:

Option B; When hydrogen is fused into helium, energy is released from conversion of matter to light energy.

In order for different types of light to be visible to human eyes, light energy must be converted into a different kind of kinetic energy. A heated object such as a laser, a lightbulb, or the sun emits light, which is an electromagnetic radiation.

Photons are little energy packets that are present in light. Photons are created when the atoms of an object are heated; this is the way photons are created. The heat excites the electrons, who then get additional energy as a result. As the substance gets hotter, more photons emerge as the energy is released in the form of a photon.

The way that light moves as it moves is as a wave. The need to transport energy is necessary regardless of the situation.

Learn more about light energy here:

https://brainly.com/question/18175736

#SPJ4

First image:cardiac muscle cell.

Second image: elastic cartilage.

Third image: Pseudo-stratified Columnar Epithelium.

Fourth image: cilia.

Cardiac muscle, a kind of striated, involuntary muscle found solely in the heart, is what allows the heart to pump blood.

Cardiac muscle cells are found in the heart's walls, where they may be seen as being striped (or striated) and controlled by an involuntary process.

Cells in cardiac muscle tissue, or the myocardium, respond to electrical signals from the nervous system by contracting and expanding. Together, these cardiac cells create the wavelike, rhythmic contractions that make up the heartbeat.

Part A:

In the first image, the highlighted structure is cardiac muscle cell.

The cartilage type in the second image is elastic cartilage.

In the third image,  the epithelium indicated by the arrows are pseudo-stratified Columnar Epithelium .

In the fourth image the highlighted structures are cilia.

To know more about cardiac muscle cells refer to:

https://brainly.com/question/14728122

#SPJ1

The complete question is as follows:

The correct option regarding how many times stronger the wave amplitude A of the earthquake was than the standard wave Ao is given by:

A = 39,811 Ao.

How to obtain the ratio of A and Ao?

To find the ratio of A and Ao, which states how many times a earthquake measuring R in the Richter scale was stronger than the standard intensity Ao, we have to solve the following logarithmic function:

R = log(A/Ao)

The Richter scale of the earthquake in this problem is given as follows:

R = 4.6.

Hence the ratio of the measures is obtained as follows:

4.6 = log(A/Ao)

The power of 10 is the inverse function of the logarithm, hence if it is applied to both sides of the equation, then we can isolate the ratio A/Ao as follows:

A/Ao = 10^4.6

A/Ao = 39,811.

Applying cross multiplication, the ratio is given as follows:

A = 39,811 Ao.

Learn more about logarithmic functions at brainly.com/question/14379331

#SPJ1

The downward force of magnitude must be applied to the small piston for the lift to raise a load whose weight is Fg = 15.0 kN is 225N.

Given that,

The small piston of a hydraulic lift has a cross-sectional of 3.00 cm^2.

And its large piston has a cross-sectional area of 200 cm^2.

Based on the above information, the calculation is as follows:

Here we use the Pascal's principle,

........... (1)

Here

F denoted Force exerted on the larger piston,

f denoted force that applied to the smaller piston,

A denoted cross-sectional area of the larger piston,

And, a denoted cross-sectional area of the smaller piston.

Now

=  225 N

Learn more about magnitude click-

brainly.com/question/23334479

#SPJ4

The amount of distance that was covered by this person is equal to 4 kilometers.

The displacement from the starting point is equal to 2 kilometers to the right.

In Science, distance can be defined as the amount of ground that is covered (travelled) by a physical body or object over a particular period of time and speed, irrespective of its direction, starting point or ending point.

In this scenario, the total distance covered in a straight line by this person can be calculated by adding the distance he ran towards the right direction to the distance he ran towards the left direction as follows:

Distance = xf + x₀

Distance = 3 + 1

Distance = 4 kilometers.

On the other hand (conversely), the displacement of this person would be calculated by subtracting the distance he covered when running back from the distance he covered when running towards the right direction as follows:

Displacement = xf - x₀

Displacement = 3 - 1

Displacement = 2 kilometers to the right.

Read more on displacement here: brainly.com/question/28353531

#SPJ1

Angle with the vertical will be made by the loosely hanging hand straps is 13 degrees.

A string attached to an object can also exert a force but only if the string is pulled taut, and only in the direction of the string. This force is called tension.

We usually make the approximation that the string is massless and unstretchable, so we don’t need to worry about it sagging in the middle or about its length changing, our strings which we consider in questions are also usually unbreakable.

The force transmitted through a string, rope, cable, or wire that is pulled tight. The rope pulls with a tension force on both objects.

For examples, A box hangs from the ceiling by a cable. The cable exerts an upward tension force on the box. A dog is pulled by a dog chain. The chain exerts a force upon the dog.

Given,

V=13km/h = 4.4 m/s

TsinФ = mv^2/R------(1)

TcosФ = mg-------(2)

Divide (1) by (2)

tanФ = v^2/Rg

Ф = tan ^-1(4.4*4.4)/8.50*9.80

Ф = 13 degrees.

To know more about tension here

https://brainly.com/question/3038170

#SPJ4

96.640625 ft high will the ball go .

Calculation :

The distance of the ball in feet is given by the equation

s(t) = -16t²+77t+4

To calculate max height find derivative of s

s'(t) =-32t+77

equate to 0

t  = 77/32 = 2.40625 sec

------------------------------------------------------------

Max height = -16(2.4)²+77(2.4) + 4

= 96.640625 ft

Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time (e.g. 60 km/h northbound). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.

Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s−1). For example, "5 metres per second" is a scalar, whereas "5 metres per second east" is a vector.

Learn more about velocity here : https://brainly.com/question/19507954

#SPJ4

The inductive reactance of the series circuit of inductance 0.1 H is 37.68 Ohms.

The circuit diagram is attached below

Inductive reactance is the opposition offered by the inductor in an AC circuit to the flow of ac current.

To calculate the inductive reactance of the series circuit, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the inductive reactance is 37.68 Ohms.

Learn more about inductive reactance here: https://brainly.com/question/18882841

#SPJ1

The renewable energy source among the given is wood and wood wastes. However they cannot be treated as perfectly renewable source because they will produce hydrocarbons when burned and will be exhausted after  massive consumption.

Renewable energy source is the source of energy which can  be regenerated or recycled after use. Solar energy, wind energy, hydrothermal energy etc. are renewable sources of energy.

Renewable sources are more efficient and nature genuine sources of energy. Whereas non-renewable source such as biogas, fossil fuels, etc. cannot be regenerated and will be exhausted after use.

Wood wastes is a common fuel used in homes as well. However, wood wastes produces harmful gases on burning and moreover they require cutting trees to get sufficient fuel.

To find more on renewable energy sources, refer here:

https://brainly.com/question/10483137

#SPJ1

Electron are basically discrete particles.

Electron is a type of particles that from all atoms.

Discrete orbits are those of  orbits where electrons to  remain stable. As long as, electrons remain in these are  orbits, they do not radiate by  energy. Discrete orbits are also known as energy shells and energy levels.

Quantization of orbital by the energy is caused by to the  wave nature of matter. Allowed orbits in atoms by  occur for constructively interference of electrons in to the orbit, requiring is an integral number of to the  wavelengths to fit in to the  orbit's circumference; that of  is, nλn=2πrn(n=1,2,3,...), where λn is the electron's to through the de Broglie wavelength.

To know more about elctrons click-

https://brainly.com/question/860094

#SPJ1

The following kelvin temperatures to the Celsius and Fahrenheit scales:

[°F] = [K] × 9/5 - 459.67

[°C] = [K] -273

A) 400k

F = 260.33

C = 127

B) 95 k

F= -288.67

C = -178

C) 1.55*10^7K

F = 2.79 *10^7

C = 1.55*10^7

The Fahrenheit scale was first proposed by German physicist Daniel Gabriel Fahrenheit in 1724. Using a tube filled with mercury or alcohol, Fahrenheit used his three points to determine the scale. He set the point where water, ice, and ammonium chloride (a salt) are stable at his 0°F.

The Celsius scale or Celsius scale is a temperature scale based on the freezing point of water at 0°C and the boiling point of water at 100°C. The Fahrenheit scale is a temperature scale based on the freezing point of water at 32°F and the boiling point of water at 212°F. Fahrenheit is used primarily in the United States, while Celsius is used worldwide.

Learn more about The Fahrenheit scale here:- https://brainly.com/question/27849238

#SPJ4

The period of oscillation of the pendulum is: 3.51 sec

The process of any quantity or measure fluctuating repeatedly about its equilibrium value in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to describe oscillation.

Given that,

l = 5.26 m

Moment of inertia (I) = ml²/12 + m(l/4)²

= ml²/12 + m(l²/16)

= 7 ml²/48

Thus, torque (τ):

or, Mg sinθ × (l/4) = I × α

or, Mg sinθ × (l/4) = (7 ml²/48) × α

or, sin θ = - (7l/129) × α

or, θ = - (7l/129) × α    [ As, sinθ ≈ θ]

Thus, ω² = 129 / 7l

Now, T = 2π/ω

or, T =  2π [tex]\sqrt{7l/129}[/tex]

or, T = 2 × 3.14 [tex]\sqrt{7*5.26/129}[/tex]

or, T = 3.51 sec

To know more about oscillation refer to:

https://brainly.com/question/12622728

#SPJ1

The complete question is as follows:

A uniform rod of length L is pivoted at L/4 from one end. It is pulled to one side through a very small angle and allowed to oscillate in a vertical plane. Determine the period of oscillation of the pendulum if L = 5.26 m.

A final velocity is a speed at which an object is moving after having gone through an acceleration over some time.

Given;

mass of the package, m₁ = 10 kg

mass of the cart, m₂ = 25 kg

initial velocity of the package, u₁ = 3 m/s

initial velocity of the cart, u₂ = 0

let the final velocity of the cart = v

(a) Apply the principle of conservation of linear momentum to determine common final velocity for ineleastic collision;

m₁u₁  + m₂u₂ = v(m₁  +  m₂)

10 x 3   + 25 x 0   = v(10  +  25)

30  = 35v

v = 30 / 35

v = 0.857 m/s

(b) the impulse experienced by the package;

The impulse = change in momentum of the package

J = ΔP = m₁v - m₁u₁

J = m₁(v - u₁)

J = 10(0.857 - 3)

J = -21.43 kg.m/s

the magnitude of the impulse experienced by the package = 21.43 kg.m/s

To learn more about velocity refer to:

https://brainly.com/question/25905661

#SPJ4

V1 = (1.2 A)(2 ) = 2.4 volts is the voltage across R1.V2 = (1.2 A)(3 ) = 3.6 volts is the voltage across R2.V3 = (1.2 A)(5 ) = 6.0 volts is the voltage across R3.

We can use Ohm's Law (V = I x R) to determine actual voltage drops over each resistor once we have the amperage for such circuit (remember that the amperage doesn't really change inside a series circuit).

According to Ohm's Law, V=I*R, where V stands for voltage, I for current, and R for resistance.The power loss across each resistor in a series circuit will be inversely correlated with its size.The voltage drop over each resistor in a parallel connection will be equal to the voltage coming from the power source.

To know more about voltage division visit:

https://brainly.com/question/14689474

#SPJ4

a concentric ring model in which social groupings are spatially organised in a hierarchy of rings. The upper class resides further away from the center, while the lower class is located closer to it.

The concentric ring model operates on the presumption that cultural content results from the incorporation of original ideas into the creation and/or presentation of music, text, and picture, and that these concepts originate in the fundamental artistic creativity spheres. Burgess' concentric ring model concept envisions growth occurring in a series of concentric rings surrounding the concentric ring model . According to Hoyt's sector model, economic expansion follows transportation corridors.

learn more about concentric ring model here:

https://brainly.com/question/13348343

#SPJ4

The force in newtons needed to stretch the spring from its natural length to a length of 20 m is  104 N

As the metal spring expands and contracts, it deviates from its equilibrium position. The result is a restoring force that tends to push the spring back to its original position. This force is called spring force.

Given;

Natural length=10m

Work done to stretch from 10m to 11m =5.2J

so change in length (x)=1m

Work  done on spring(W) = 1/2 *k *x^2

                                        5.2 =1/2*k*1^2

                                   so, k=10.4N/m

Spring is stretch to 20m  so new x=10m

Force needed to stretch the spring = kx = 10.4 *10= 104 N

Learn more about Spring Force here:

https://brainly.com/question/26949571

#SPJ4

The actual distance beneath the surface of the beetle in the medium of polystyrene is 3.24cm.

Polystyrene is a synthetic polymer created from styrene, an aromatic hydrocarbon, as its monomers. Solid or foamed polystyrene are both available.

Refractive Index (Index of Refraction) is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density. The refractive index variable is most commonly symbolized by the letter n or n' in descriptive text and mathematical equations.

The equation which shows the relationship between apparent depth and actual depth is

n= d(actua)/d(apparent)

where d (actual)= actual depth of object

           d(apparent)= apparent depth of object

                    n= refractive index of the medium

d(actual)= n*d(apparent)

d(actual)=1.62*2

             =3.24cm

To know more about refractive index visit:

https://brainly.com/question/23750645

#SPJ4

1.57 rad/s is the angular velocity of the hoop about its center of mass.

Solution:

Given that

Weight of hoop m = 1.2 kg

radius of  hoop R = 65 cm = 0.65 m

Force = 7 N

Torque on the hoop Τ = F×R        →equation (1)

Where F is applied force on hoop

We also know that

Τ = Iα[tex]R^{2}[/tex]

Where α is the angular acceleration

I is the moment of inertia of hoop

For hoop    I = m[tex]R^{2}[/tex]

T =  (m[tex]R^{2}[/tex])α           →equation (2)

From equation 1 and 2

FR = (m)α

F = mRα

α = F/mR

α = 7/1.2×0.65 = 3.79 rad/s×s

α= 3.79 rad/s×s

We have to calculate distance covered  by center of hoop in 5 s

d = (1/2)at×t                 →equation(3)

Relation between linear acceleration and radius is

a = αR

a = 3.79×0.65

a = 2.46 m/s×s

now from equation (3)

d = 0.5×2.46×4×4

d = 19.68 m

so the  distance covered by center of hoop in 4 s is 19.68 m.

Part(2)

angular velocity of hoop

angular momentum about the center of the hoop

w = v/R

ωt = 2×π

t is  given 4 s

ωt   = 6.28

ω×4= 6.28

ω = 1.57 rad/s

Hence,  1.57 rad/s is the angular velocity of the hoop about its center of mass.

Learn more about angular velocity here:- https://brainly.com/question/6860269

#SPJ4

The second average force act at a time interval of 1.1s(1dp)

Impulse of a force is defined as the product of the average force and the time interval for which the force acts on the body.

It is measured in Nm and it is a vector quantity.

impulse is given as force ×time

let F1 represent the first average force and F2 be the second average force.

the time interval for the first average force is 3.2 seconds, therefore the average time interval for the second force will be 3.2/3= 1.1s(1dp)

learn more about impulse from

https://brainly.com/question/229647

#SPJ1

With the knowledge of mathematics and with the use of formula, the time interval will be 1.07 s

Impulse can be defined as the product of force and time. Impulse is the same as change of momentum.

Given that one average force has a magnitude that is three times as large as that of another average force. That is,

F = 3f  ....... (1)

If both forces produce the same impulse of 3 N.m. The average force acts for a time interval of 3.2 s. For what time interval does the other average force act?

Impulse = force × time

If both forces produce the same impulse of 3 Nm

For first average force F,

3 = F × T

F = 3/T

For second average force f

3 = f × t

f = 3/t

Substitute both F and f into equation 1

F = 3f

3/T = 3(3/t)

Given that t = 3.2 s

Then, 3/T = 9/3.2

Cross multiply

9T = 9.6

T = 9.6/9

T = 1.07 s

Therefore, the first average force will act for time interval of 1.07 s

Learn more about Impulse here: https://brainly.com/question/20586658

#SPJ1

-35.39dB is the intensity level of the sound for the more distant listener relative to that for the nearer listener

By using the inverse square law,

As one listener is 49.5 times farther away from the source of the sound than the other.

Then Increasing the distance by 49.5 times reduces the intensity by

= 3453.8 times

The intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is:

= 10log(ratio of intensities)

= 10log(1/3453.8)

= 10log(0.000289)

=10 × -3.539

= -35.39dB (The negative sign represents the sound is less intense for the farther listener)

So, the intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is -35.39dB

Learn more about sound here https://brainly.com/question/9349349

#SPJ4

Two satellites are placed in geosynchronous orbits, orbits with a period of 24 hours, where each satellite hovers over a spot on the earth's equator. satellite b has three times the mass of satellite a

F(b) = 3 F(a) is the relationship between the magnitudes of the gravitational forces of the earth on the two satellites.

A satellite is a body that orbits a planet, star, or moon. For instance, the fact that Earth circles the sun makes it a satellite. The moon is a satellite as well since it revolves around Earth. The term "satellite" often refers to a device that is sent into space and orbits the Earth or another celestial body.

Given that,

two satellites a and b are placed in geosynchronous orbits, orbits with a period of 24 hours.

Gravitational force is given by,

F = (G × M × m) / r²

Where, G = gravitational constant

M = Mass of the earth

m = mass of the satellite

r = distance between earth and satellite.

So, m(b) = 3 m(a) and r(a) = r(b)

Thus, F(a) = [(G × M × m(a)] / r(a)²

F(b) = [(G × M × m(b)] / r(b)²

or, F(b) = [(G × M × 3m(a)] / r(a)²

or, F(b) = 3[(G × M × m(a)] / r(a)²

or, F(b) = 3 F(a)

To know more about satellite refer to:

https://brainly.com/question/28103637

#SPJ1

The correct option is B. A bow wave is produced while a pace boat moves faster than the waves.

In regular use and in kinematics, the velocity (generally known as v) of an object is the value of the trade of its function over time or the magnitude of the trade of its function consistent with a unit of time; it is, for this reason, a scalar amount. The common speed of an object in a c programming language of time is the distance traveled by using the object divided by means of the length of the c programming language; the on-the-spot speed is the restriction of the common velocity as the duration of the time c language processes 0. velocity isn't always similar to pace.

Pace denotes only how rapidly an object is moving, while pace describes how speedy and wherein path the item is transferring. If a vehicle is said to travel at 60 km/h, its velocity has been distinctive. however, if the automobile is stated to move at 60 km/h to the north, its velocity has now been designated.

To learn more about  Speed visit here:

brainly.com/question/7359669

#SPJ4

The resulting angular acceleration of grindstone assuming negligible opposing friction is [tex]82.616 rad/s^{2}[/tex].

Angular acceleration can be defined as the temporal rate at which angular velocity changes. The standard unit of measurement is radians per second square. It is also called rotational acceleration. It is a numerical representation of the variation in angular velocity over time.

A pseudoscalar, angular acceleration, exists. If the angular speed rises counterclockwise, the sign of angular acceleration is taken to be positive; if it grows clockwise, it is taken to be negative. Angular acceleration makes it easier to the motion of rotating objects.

The symbol for angular acceleration in SI units is alpha ([tex]\alpha[/tex]), and it is expressed as radians per second squared ([tex]rad/s^{2}[/tex]).

We know that,

Force on grindstone, F = 288 N

Radius of grindstone, r = 0.275 m

Mass of grindstone, m = 92.2 kg

The grindstone's angular acceleration must be determined. The relationship between torque and angular acceleration in rotational motion is given by:

τ = I x α

α = τ/I

I is the moment of Inertia of solid disk.

I =[tex]\frac{mr^{2}}{2}[/tex]

τ represents the torque exerted

τ = F x r

Thus

[tex]\alpha = \frac{Fr}{\frac{mr^{2}}{2}}[/tex]

[tex]\alpha = \frac{2Fr}{{mr^{2}}}[/tex]

[tex]\alpha = \frac{2(288) F}{(92.2 kg) (0.275^{2} m^{2} )}}[/tex]

[tex]\alpha = 82.616 rad/s^{2}[/tex]

Thus, we can conclude that the angular acceleration of the grindstone is 82.616 [tex]rad/s^{2}[/tex].

To know more about angular acceleration visit:

https://brainly.com/question/13034625

#SPJ4

So, the equilibrium temperature after the first object mixed with second object is approximately 53.3°C.

Hi! I will help you to solve Black's Principle. Black's Principle state that the heat absorbed by one object is always similar to the heat released by another. So, these objects will transfer heat into each other until they reach an equilibrium temperature. Usually, Black's principle used to find the equilibrium temperature after the interaction of two objects with the same masses but different types, with the same type but different masses, or different types and masses. The type of objects will affect the heat absorbed or released because each type has its specific heat characteristics (c).

So, mathematically Black's Principle can be expressed in the following equation:

[tex] \sf{\bold{Q_1 = Q_2}}[/tex]

[tex] \boxed{\sf{\bold{m_1 \cdot c_1 \cdot (T_1-T') = m_2 \cdot c_2 \cdot (T'-T_2)}}}[/tex]

With the following condition:

[tex] \sf{m_1 \cdot c_1 \cdot (T_1-T')= m_2 \cdot c_2 \cdot (T'-T_2)}[/tex]

[tex] \sf{1 \cdot \cancel c \cdot (80-T')= 2 \cdot \cancel c \cdot (T'-40)}[/tex]

[tex] \sf{80 - T'= 2T' - 80}[/tex]

[tex] \sf{-3T'= -160}[/tex]

[tex] \sf{T'= \frac{-160}{-3}}[/tex]

[tex] \sf{\bold{T' \approx 53.3^\circ C}}[/tex]

So, the equilibrium temperature after the first object mixed with second object is approximately 53.3°C.

The speed of the water leaving the end of the hose is 47.2 cm/sec means that the water is flowing with a distance of 47.2 cm in one second.

The rate of change of position of an object in any direction is called speed. Speed is measured as the ratio of distance to the time in which the distance was covered.

Speed is a scalar quantity as it has only direction and no magnitude. Dimensional formula of Distance = M0L1T-1

There are four types of speed and they are, Uniform speed, Variable speed, Average speed, Instantaneous speed. The invention of the calculus supplied the mathematical rigor to the above definition, and the final solution to the problem of the measurement of motion.

Given,

Radius=  0.0137 m

Area = π*(0.0137)^2 = 0.00058935 m^2

                                 = 5.89 cm^2

volume filled in 3 sec = 25 L

Rate = 25/3 = 8.33 cm^3/sec

Rate=area*velocity(v)

v = 8.33*1000/5.89

v = 47.2 cm/sec

To know more about speed here

https://brainly.com/question/13262646

#SPJ4

The string is 16 cm long.

What is time period?

Period of simple is given by the equation

[tex]$T=2 \pi \sqrt{\frac{l}{g}}$[/tex]

It will not depend upon angle and mass of ball.

A student with a stopwatch finds that 17 oscillations take 14 s.

So we can find period for 1 oscillation

[tex]\text { Period, } \mathrm{T}=\frac{14}{17}=0.82 \mathrm{~s}[/tex]

Substituting in equation of period

[tex]\begin{aligned}& T=2 \pi \sqrt{\frac{l}{g}} \\& 0.82=2 \pi \sqrt{\frac{l}{9.81}} \\& l=\frac{0.82^2 \times 9.81}{4 \pi^2}\end{aligned}[/tex]

[tex]l=0.16m[/tex]

The string is 16 cm long.

To learn more about time period visit:https://brainly.com/question/2144584

#SPJ4