I have multiple voltage sources of different rating like 5V,6V,1V and 20V draw schematic diagram using these sources to power a light of rating 11 volt

With the use of formula, the magnitude of the observed frequency will be 463.3 Hz

Doppler effect is the change in frequency of a sound as you move toward or away from the source of the sound.

Given that a friend of yours is loudly singing a single note at 500 Hz while racing toward you at 27.2 m/s on a day when the speed of sound is 343 m/s.

The parameters are;

The frequency you hear can be calculated by using the formula below.

Fo = Fc/(c + v)

Fo = (500 × 343) / (343 + 27.2)

Fo = 171500/370.2

Fo = 463.3 Hz

Therefore, the frequency at which you hear will be 463.3 Hz

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The following is not tool that scientists use to monitor air pollution is the thermometer.

Air quality is measured using the Air Quality Index or AQI. AQI works like a thermometer with a range of 0-500 degrees. However, AQI is a way of showing changes in the amount of air pollution, not changes in temperature.  Avoid using petrol-powered lawns and gardening supplies.

Motor vehicle emissions of fuel oil and natural gas used to heat homes by-products of manufacturing and power generation especially coal-fired power plants and smoke from chemical production are major sources of man-made air pollution. This is the main cause. Reduce the number of trips by car. Reduce or eliminate the use of fireplaces and wood stoves. Do not burn leaves garbage or other objects.

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Answer:

because it is a certain time created by God.

The following are true in this scenario:

1. If the link speed is 10 Mbps or 100 Mbps, half- duplex is used.

2. If the link speed is 1000 Mbps or faster, full-duplex is used.

3. The switch attempts to sense the link speed. If it can't, the lowest link speed supported on the interface is selected.

Interfaces can work in the following two duplex modes. They are half duplex mode and full duplex mode.

Half- duplex mode: An interface in this mode can send data only when it is not received data and conversely, it can receive data only when it is not sending data. There is a limit on transmission distance in this mode.

Full-duplex mode: An interface in this mode can send and receive data simultaneously. The maximum throughput in full-duplex mode is theoretically double than in half duplex mode. There is no limit on transmission distance in this mode.

You can configure the rate and duplex mode of an Ethernet interface working in either auto-negotiation or non-auto negotiation mode.

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The most important reason astronomers for studying asteroids is to trace solar system evolution.

Small, stony objects called asteroids orbit the Sun. Despite orbiting the Sun similarly to planets, asteroids are far smaller than planets. Small, stony objects called asteroids orbit the sun. Despite orbiting the sun similarly to planets, asteroids are far smaller than planets.

Depending on whether a comet has more ice or rocky debris, scientists may refer to them as dirty cannonballs or snow dirtballs, according to NASA.  Amazing images of Comet NEOWISE taken from space and the Earth are related.

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(a) Refer to part (a)

(b) Refer to part (b)

(c) [tex]nr^{n-1}\bold{\hat{r}}[/tex]

To answer the questions, I will show the derivations of each part by applying vector calculus methods such as the gradient operator, denoted by '▽', to the given quantities. I will use the definition of the gradient operator in Cartesian coordinates to solve each part.

Given:

[tex]\bold{r} = (x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}; \ r=\sqrt{ (x-x')^2+(y-y')^2+(z-z')^2}[/tex]

Show that:

(a) [tex]\nabla (r^2)=2 \bold{r}[/tex]

(b)[tex]\nabla (1/r)=- \bold{\hat{r}}/r^2[/tex]

(c) What is the general formula for [tex]\nabla (r^n)[/tex]?

[tex]\hrulefill[/tex]

The gradient operator in Cartesian coordinates is:

[tex]\nabla = \hat{\imath}\dfrac{\partial}{\partial x}+ \hat{k}\dfrac{\partial}{\partial y}+ \hat{\jmath}\dfrac{\partial}{\partial z}[/tex]

The square of the vector length is given by:

[tex]\Longrightarrow r^2 = [(x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}]^2\\\\\\\\\Longrightarrow r^2 = (x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}[/tex]

Now, applying the gradient operator to 'r²':

[tex]\Longrightarrow \nabla r^2 = \\\\\bullet \dfrac{\partial}{\partial x}[(x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}]=2(x-x')\\\\\bullet \dfrac{\partial}{\partial y}[(x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}] = 2(y-y')\\\\\bullet\dfrac{\partial}{\partial z}[(x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}] =2(z-z')\\\\\\\\\therefore \nabla r^2=2(x-x')\hat{\imath}+ 2(y-y')\hat{\jmath} + 2(z-z')\hat{k}\\\\\\\\[/tex]

Factoring out a 2:

[tex]\Longrightarrow \nabla r^2=2[(x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}]\\\\\\\\\therefore \boxed{\nabla r^2=2 \bold{r}}[/tex]

[tex]\hrulefill[/tex]

The length 'r' is given by:

[tex]r=\sqrt{ (x-x')^2+(y-y')^2+(z-z')^2}[/tex]

Now applying the gradient operator to 1/r:

[tex]\dfrac{1}{r}=((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}[/tex]

[tex]\nabla \dfrac{1}{r} =\\\\\bullet \dfrac{\partial}{\partial x}[((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}]=-(x-x')[(x-x')^2+(y-y')^2+(z-z')^2]^{-3/2}\\\\\bullet\dfrac{\partial}{\partial y}[((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}]=-(y-y')[(x-x')^2+(y-y')^2+(z-z')^2]^{-3/2} \\\\\bullet\dfrac{\partial}{\partial z}[((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}]=-(z-z')[(x-x')^2+(y-y')^2+(z-z')^2]^{-3/2}[/tex]

[tex]\Longrightarrow \nabla \dfrac{1}{r} = - \dfrac{(x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}}{[(x-x')^2+ (y-y')^2 + (z-z')^2]^{3/2}}[/tex]

[tex]\Longrightarrow \nabla \dfrac{1}{r} = -\dfrac{\bold{r}}{r^3}; \ \text{Where:} \ \bold{\hat{r}} =\dfrac{\bold{r}}{r} \rightarrow \bold{r}=\bold{\hat{r}}\cdot r \\\\\\\\\Longrightarrow \nabla \dfrac{1}{r} = -\dfrac{ \bold{\hat{r}} \cdot r}{r^3}\\\\\\\\\therefore \boxed{\nabla \dfrac{1}{r} = \dfrac{\bold{-\hat{r}}}{r^2}}[/tex]

[tex]\hrulefill[/tex]

The general formula is as follows:

[tex]\Longrightarrow \nabla(r^n)=\dfrac{\partial}{\partial r}[r^n] \bold{\hat{r}} \\\\\\\\\therefore \boxed{\nabla(r^n)=nr^{n-1}\bold{\hat{r}}}[/tex]

When two items come into close proximity, thermal energy moves from the warmer object (which has faster-moving particles) to the colder object (with slower-moving particles).

First, heat is transferred from the lower-temperature object to the higher-temperature object, then it is transferred back to the lower-temperature object, and so on, until the objects are in thermal equilibrium.

Thermal radiations have a frequency range in the infrared and are electromagnetic in nature. All bodies that have an absolute temperature that is not zero emit these. Since they are electromagnetic, heat radiations can bounce off of them and move through space at the speed of light. All of the statements are true.

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The term which is called as mechanical weathering always refers to the changes in a rock which are physical and there is no or very little chemical change. So, it's True.

Mechanical weathering (additionally known as bodily weathering) breaks rock into smaller portions. These smaller portions are similar to the larger rock, simply smaller. That means the rock has modified bodily with out converting its composition. Mechanical weathering is likewise called bodily weathering. In this kind of weathering, a huge rock is disintegrated into smaller portions of rocks.

When rocks crumble or split with out experiencing any alternate of their chemical composition, it's far called mechanical weathering. The assertion approximately mechanical weathering that isn't genuine is includes a chief alternate withinside the mineral composition of the weathered material. Mechanical weathering breaks rocks down into smaller fragments, and will increase the floor location of the over all material. By growing the floor location, chemical strategies may also act extra without problems upon the rock floor.

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The angle in radians through which the wheel rotates is [tex]14207.511^{\circ}[/tex].

What is angular velocity?

In physics, angular velocity or rotational velocity, also known as angular frequency vector, is a pseudovector representation of how fast the angular position or orientation of an object changes with time.

Given

initial angular velocity [tex]$\omega_1=25 \mathrm{rad} / \mathrm{s}$[/tex]

Final Angular velocity [tex]$\omega_2=36 \mathrm{rad} / \mathrm{s}$[/tex]

time interval [tex]$t=3 \mathrm{~s}$[/tex]

using

[tex]$$\begin{aligned}& \omega_2=\omega_1+\alpha t \\& 36=25+2 \\& \alpha=1.5 \mathrm{rad} / \mathrm{s}^2\end{aligned}$$[/tex]

(b)Average angular speed [tex]$\frac{\Delta \theta}{\Delta t}$[/tex]

[tex]$$\begin{aligned}& \theta=\omega_1 t+\frac{1}{2} \alpha t^2 \\& \theta=25 \times 8+\frac{1}{2} \times 1.5 \times 8^2 \\& \theta=200+48=248 \mathrm{rad}\end{aligned}$$[/tex]

average angular speed [tex]$=\frac{\Delta \theta}{\Delta t}$[/tex]

[tex]=\frac{248}{8}=31 \mathrm{rad} / \mathrm{s}$$[/tex]

(c)Angle rotated =248 radians

(d)angles in degree [tex]$=14207.511^{\circ}$[/tex]

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Decrease as the distance squared  after a nice dinner around the campfire on a camping trip, you and a friend decide to get away from the fire to observe the stars. as you get farther and further away.

The amount of thermal energy that a huge fire has transferred is more than that of a little fire, thus you must stand closer to a small fire to feel the same warmth you do when you are farther away. The reaction generates a lot of thermal energy in a huge fire. Less thermal energy is released from the reaction in a tiny fire.

When the temperature rises, a type of energy called thermal energy is produced. The amount of thermal energy is directly inversely proportional to the object's change in temperature. Thermal energy takes the form of heat.

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According to Faraday's law, the magnetic flux through the loop's enclosed area changes at a rate that equals the induced emf around a closed loop.

The induced emf in a coil is equal to the rate of change of the flux linkage, as stated by Faraday's second law of electromagnetic induction. As a result, E = Ndϕdt.

It is no a conservative field, the induced electric field. You must exert effort when moving a charge once around the loop in opposition to the induced field. Your labor, however, is not kept as potential energy. To recoup the energy used to move the charge, you cannot allow the electric field to perform work. When the magnetic flux is no longer changing, the induced electric field also vanishes. There is no local storage for the work you perform on a charge against the induced field. An electromagnetic wave may be used to carry the energy away.

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The net electric force on particle q₂ is determined as -9.86 N.

The net force of particle q₂ is determined by applying Coulomb's law of electrostatic force.

The electric force between particle q₁ and q₂ is the repulsive force and the magnitude is calculated as;

F₁₂ = kq₁q₂ / r²

where;

F₁₂ = -(9 x 10⁹ x 13 x 10⁻⁶ x 7.7 x 10⁻⁶) / (0.25²)

F₁₂ = -14.4 N

The electric force between particle q₃ and q₂ is the attractive force and the magnitude is calculated as;

F₂₃ = kq₃q₂ / r²

F₂₃ = (9 x 10⁹ x 5.9 x 10⁻⁶ x 7.7 x 10⁻⁶) / (0.3²)

F₂₃ = + 4.54 N

The net force on the particle q₂ is calculated as;

F (net) = F₁₂ + F₂₃

F (net) = -14.4 + 4.54

F (net) = -9.86 N

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The total angular momentum of the system about point B is [tex]L=m_1r_1\omega_1+m_2r_2\omega_2[/tex]

Angular momentum, also known as moment of momentum or rotational momentum, is the rotating counterpart of linear momentum.

A rigid object's angular momentum is defined as the product of its moment of inertia and its angular velocity. If there is no external torque on the object, it is analogous to linear momentum and is subject to the fundamental constraints of the conservation of angular momentum principle. The vector quantity angular momentum It is derived from the expression for a particle's angular momentum.

Given,

mass of ball 1 = m1

m₂ mass of ball 2=m2

v₁ is the velocity of ball=r₁ω₁

v₂ is the velocity of ball 2=r₂ω₂

The total angular momentum is given as;

[tex]V_{total}=r_1\omega_1+r_2\omega_2\\\\L=m_1r_1\omega_1+m_2r_2\omega_2[/tex]

Hence the total angular momentum  will be [tex]L=m_1r_1\omega_1+m_2r_2\omega_2[/tex]

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The speed of the bullet immediately after it exits the block is 190 m/s.

What is speed?
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or even the size of the change in that object's position per unit of time, making it a scalar quantity. The instantaneous speed is the upper limit of the average speed as that of the duration of the time interval gets closer to zero. The average speed of an object in a period of time is indeed the distance travelled by object divided by duration of the interval. Velocity and speed are not the same thing. The dimensions of speed are time divided by distance.

The speed immediately after the bullet exits the block is 190 m/s. This can be determined using the conservation of momentum principle, which states that the total momentum of an isolated system remains constant. In this case, the system is the bullet and the block of wood.
Before the bullet enters the block, the momentum of the system is equal to the momentum of the bullet, which is given by:
p_i = m_b * v_b = (3.0 g) * (520 m/s) = 1560 g m/s
After the bullet exits the block, the momentum of the system is equal to the momentum of the bullet and the block, which is given by:
p_f = m_b * v_b + m_w * v_w = (3.0 g) * (190 m/s) + (3.8 kg) * (0 m/s) = 570 g m/s
By conservation of momentum, we can set the initial and final momentum equal to each other and solve for the velocity of the bullet after it exits the block:
p_i = p_f
1560 g m/s = 570 g m/s + (3.8 kg) * v_w
v_w = 190 m/s
Therefore, the speed of the bullet immediately after exiting the block is 190 m/s.

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True; The heuristic function his admissible.

When there are no specific solutions or the time required to find a solution is too great, a heuristic function (algorithm) or simply a heuristic is a shortcut to issue solving. We can infer that the objective is to locate a quicker or more approximate solution, even if it is not the best one. In other words, while applying a heuristic, we compromise accuracy for solution speed.

For instance, greedy algorithms typically result in speedy but inadequate answers. In the following tree, a greedy algorithm that seeks the highest sum would take the red path, but the green path is the best one

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The speed of the wave is 0m/s.

What is speed?

The rate of change of position of an object in any direction. 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.

we can see that k = 0.9

wavelength = 2pi/k = 2pi/0.9=6.98

w = 900

f = w/2pi=900/2pi=143.2

v = w/k = 900/0.9=1000 m/s

If you look at the expression you must see a wave.

y = sin(0.3.x)

the wavelength 0.3.x = 2.pi gives x = 20.9 m

the frequency of the wave is the number of times the wave makes a full cycle per second. So every time 300.t = 2.pi makes a cycle. gives t = 2.pi/300 = 0.021

the frequency = 1/t = 47.8 sec^(-1) or 47.8 Hz

As it is a standing wave the speed is 0.

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Answer:

Spherical mirrors whose inner side is reflecting are called concave mirrors. Spherical mirrors whose outer side is reflecting are called convex mirrors.

Explanation:

The ones associated with the fault you observed in the GigaPan image:

When rocks slip through each other in a fault, the upper or overlying blocks along the fault plane are called hanging walls or headwalls. The underlying blocks are called foot walls. Tectonic basins are formed by crustal activity. A dimple is a fold where the originally horizontal layer is folded and the two legs of the fold are folded.

Tectonic activity is the movement of large portions of the Earth's crust called tectonic plates. Crustal activity is the cause of phenomena such as earthquakes and volcanoes. Gneiss is a type of metamorphic rock that forms when the sedimentary or igneous rock is subjected to extreme temperatures and pressures.

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48296.23 Joule is the internal energy of the gas

In thermodynamics, internal energy is a characteristic or state function that characterizes a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.

Given that,

No. of moles = 7.33 moles

temperature = 317 K

diatomic gas

As we know,

U = n × [tex]C_v[/tex]×T

U = internal energy

n =  no. of moles

[tex]C_v[/tex] = specific heat

[tex]C_v[/tex] = (f/2) ×R = (degree of freedom of gas / 2) × R

For a diatomic gas, f = 5

T = temperature

Now, U = (f/2) × R × n ×T

or, U = (5/2) × 8.314 × 7.33 × 317

or, U = 48296.23 Joule.

Thus, 48296.23 Joule is the internal energy of the gas

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Answer:

  6.4 V

Explanation:

You have a series circuit of three resistors and a 24 V power supply. You want to know the voltage across the 40 Ω resistor, when the other two resistors are 100 Ω and 10 Ω.

The fraction of total voltage in a series circuit that is dropped across any resistor is the ratio of that resistor value to the total resistance in the circuit. The voltage drop across a 40 Ω resistor in a circuit with a total resistance of 150 Ω is ...

  (24 V)(40/150) = 32/5 V = 6.4 V

Certain minerals are only stable in a small range of temperatures and as such can tell us what temperature the rock metamorphosed at. we call these geothermometry. This statement is false.

The 3 foremost minerals (magnetite, pyrrhotite, and ilmenite)  strongly interested in a magnet. Two varieties of rock – serpentine and ironstone are nearly usually magnetic.

As magma or lava cools, those minerals start to shape. At this point, the molten rock has no longer completely solidified, so the magnetic minerals floating inside the molten mass, end up aligned with the magnetic subject.

Water is discovered in interior rocks nearly anywhere, even very deep underneath the earth's floor where it's far particularly warm. The water inside hot rocks may be very warm as well, and when the fluid comes to the earth's floor, it can generate electricity.

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General relativity states that the existence of matter bends spacetime, which causes time to slow down in a gravitational environment.

It is, in essence, a theory of gravity. The fundamental assumption is that gravity is a bending or curving of space rather than an invisible force which draws items together.

Thus, general relativity states that the existence of matter bends spacetime, which causes time to slow down in a gravitational environment.

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The acceleration of a car traveling at 30 m/s that slows to 10 m/s in 5 seconds is -4 m/s²

u=30m/s

v=10m/s

t=5 second

acceleration =v-u/t

acceleration =10-30/5

acceleration = -4 m/s²

Any process where the velocity changes is referred to as acceleration. There are only two ways to accelerate: either by accelerating faster, or by accelerating in the opposite direction. This is because velocity consists of both a speed and a direction. No matter how quickly you are moving, you cannot possibly be accelerating if you don't also change your direction and speed. As a result, even when traveling at a high speed—in this case, 800 miles per hour—a jet does not experience acceleration because its velocity is constant. The jet will accelerate as it slows down after landing and come to an abrupt stop.

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Frequency that the block oscillate with both springs attached is 45 Hz.

Let the spring constants be k₁ and k₂.

When displaced from equilibrium, the magnitude of the net force exerted by the springs is |k₁x + k₂x| acting in a direction so as to return the block to its equilibrium position ( x = 0 ).

Since the acceleration a = d²x / d², Newton’s second law yields,

m( d²x / d² ) = - k₁x - k₂x,

Substituting x = x(m) cos ( ωt + Φ) and simplifying we find

ω² = (k₁ + k₂) / m

where ω is in radians per unit time. Since there are 2π radians in a cycle, and frequency f measures cycles per second, we obtain  

f = ω / 2π = 1 / 2π (√k₁ + k₂ / m)

The single springs each acting alone would produce simple harmonic motions of frequency

f₁ = 1 / 2π √(k₁ / m) = 30 Hz

f₂ = 1 / 2π √(k₂ / m) = 45 Hz

respectively, Comparing these expressions, the frequency will be

f = √(f₁² + f₂²)

f = √(30² + 45²)

f = 45 Hz

Therefore, frequency that the block oscillate with both springs attached is 45 Hz.

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The gravitational force is the sole external force acting on an object falling through a vacuum.

A fall also involves the force of gravity pulling an object downward. The force of gravity is imbalanced at the beginning of the descent. The result is that the thing picks up speed or accelerates. It experiences aerodynamic drag or air resistance as it speeds.

As the only force acting on an object that is falling freely is the downward-acting force of gravity, the object feels weightlessness. The item accelerates at a rate equal to that of gravity. The object is subject to zero net force.

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the apex half-angle of the cone is  [tex]\frac{V^{2} }{g}[/tex]

Calculation :

Ncosθ = mg   ---1

Nsinθ =[tex]\frac{mv^{2} }{r}[/tex]

divide eqn 1 and 2

tanθ = V²/rg ---3

now tan θ = h/r ---4

fro eqn 3 and 4

h=  [tex]\frac{V^{2} }{g}[/tex]

A cone is a three-dimensional geometric shape that tapers from a flat base (often not necessarily circular) to a point called the vertex or apex.

A cone is formed by a series of line segments, half-lines, or lines that connect a point (vertex) common to all points on the base in a plane that does not contain vertices. Depending on the author, the basis may be restricted to a circle, a one-dimensional square in the plane, a closed his one-dimensional figure, or any of the above plus all enclosed points. A cone is a solid object if the base contains the enclosed points. Otherwise, it is a 2D object in 3D space. For solids, the boundaries formed by these lines or partial lines are called faces. If the sides are unlimited, it is a conical surface.

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Df/dp<0 means rate of change of decomposition with respect to pressure increase with increasing pressure.

4f^2p/(1-f^2)= k

4f^2p=k(1-f^2)

Taking derivative with respect to p

D/dp(4f^2p)=d/dp(k(1-f^2))

4f^2+8fpdf/dp=-2kfdf/dp

(K+4p)df/dp=-2f

Df/dp=-2f/k+4p

Form eq 4f^2p/1-f^2=k

4f^2p=k(1-f^2)

F^2= k/4p+k

Put it in last eq we can say that df/dp <0

Step 1: Calculate the temperature in Kelvins. To do this, add 273.15 to the given temperature in Celsius:

T = 175 + 273.15 = 448.15 K

Step 2: Calculate the temperature-independent constant C. This can be found by plugging in the given temperature (in Kelvins) and conductivity (o) into the equation:

o = CT-3/2 exp(- 2KT

C = o / (T-3/2 exp(- 2KT))

Step 3: Plug in the values for T and C into the equation and solve for the conductivity (o):

o = CT-3/2 exp(- 2KT

o = (C)(448.15)-3/2 exp(- 2K(448.15))

o = (C)(448.15)-3/2 exp(- 896.3K)

o = (C)(448.15)-3/2 (5.5 x 10-395)

o = (C)(2.48 x 10-397)

Therefore, the intrinsic electrical conductivity of germanium at 175 °C is

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The net torque needed to balance is 120N

Weight of the plank W = 80N

Length of the inclined plane S = [tex]\sqrt{9 + 16}[/tex] = 5

Cos θ = 3/5

Net torque needed to balance is τ = W Cos θ s/2

τ = 120 N

The study's subject also refers to torque as a moment, moment of force, rotational force, or turning effect. It is possible to think of torque as the linear force's rotational counterpart. It stands for a force's capacity to alter the body's rotational motion. Archimedes' studies on the use of levers, which are reflected in his well-known saying, "Give me a lever and a place to stand. and I shall move the Earth." similar, led to the development of the concept. a linear force pushes, similar to that. A torque is a movement that twists about or pulls an object. a certain axis. When the strength of the force is multiplied by the angle at which the line of action is perpendicular, torque is the outcome.

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The probability of getting a prime number ( 2, 3, 5, 7) between 1 to 8 is 1/2. The total outcomes possible for spinning the spinner and tossing the coin is 16.

Branch of mathematics concerning numerical descriptions of how likely an event is to occur is called probability.

Total number of outcomes = 8.

Let, the probability of getting a prime number ( 2, 3, 5, 7) between 1 to 8

P(E) = (no. of outcomes) /( total no. of outcomes)

=4/8

=1/2

When a coin is tossed,  there are two possible outcomes that are H(head), and T(tail).

If you spin the spinner , there are 8 possibilities.

Total outcomes = 8 * 2

=16

There are 16 outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.

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The graph that best represents the relationship between the gravitational potential energy of a freely falling object and the object's height above the ground is the last graph.

What is Gravitational potential energy ?

Gravitational potential energy is the energy possessed by a body by virtue of its position. The formula is expressed as:

E = mgh

m is the mass of the object

g is the acceleration due to gravity

h is the height of the object

Note that the formula shows that the gravitational potential energy is directly proportional to the height of the object

This direct proportionality shows that the required graph will have a positive slope.

This shows that the graph that best represents the relationship between the gravitational potential energy of a freely falling object and the object's height above the ground is the last graph.

To learn more about acceleration due to gravity visit:https://brainly.com/question/13860566

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