Willie, in a 100.0 m race, initially accelerates uniformly from rest at 2.00 m/s2 until reaching his top speed of 12.0 m/s. He maintained this speed until he is 16.0 m from the finish line but then fades and decelerates uniformly, crossing the line with a speed of only 8.00 m/s. What is Willie’s total time for the race? Please show your steps :)

Answers

Answer 1

Answer:

The total time for the race is 11.6 seconds

Explanation:

The parameters given are;

Total distance ran by Willie = 100.0 m

Initial acceleration = 2.00m/s²

Top speed reached with initial acceleration = 12.0 m/s

Point where Willie start to fade and decelerate = 16.0 m from the finish line

Speed with which Willie crosses the finish line = 8.00 m/s

The time and distance covered with the initial acceleration are found using the following equations of motion;

v = u₀ + a·t

v² = u₀² + 2·a·s

Where:

v = Final velocity reached with the initial acceleration = 12.0 m/s

u₀ = Initial velocity at the start of the race = 0 m/s

t = Time during acceleration

a = Initial acceleration = 2.00 m/s²

s = Distance covered during the period of initial acceleration

From, v = u₀ + a·t, we have;

12 = 0 + 2×t

t = 12/2 = 6 seconds

From, v² = u₀² + 2·a·s, we have;

12² = 0² + 2×2×s

144 = 4×s

s = 144/4 =36 meters

Given that the Willie maintained the top speed of 12.0 m/s until he was 16.0 m from the finish line, we have;

Distance covered at top speed = 100 - 36 - 16 = 48 meters

Time, [tex]t_t[/tex] of running at top speed = Distance/velocity = 48/12 = 4 seconds

The deceleration from top speed to crossing the line is found as follows;

v₁² = u₁² + 2·a₁·s₁

Where:

u₁ = v = 12 m/s

v₁ = The speed with which Willie crosses the line = 8.00 m/s

s₁ = Distance covered during decelerating = 16.0 m

a₁ = Deceleration

From which we have;

8² = 12² + 2 × a × 16

64 = 144 + 32·a

64 - 144 = 32·a

32·a = -80

a = -80/32 = -2.5 m/s²

From, v₁ = u₁ + a₁·t₁

Where:

t₁ = Time of deceleration

We have;

8 = 12 + (-2.5)·t₁

t₁ = (8 - 12)/(-2.5) = 1.6 seconds

The total time = t + [tex]t_t[/tex] + t₁ =6 + 4 + 1.6 = 11.6 seconds.

Answer 2

Willie's total time to cover the race is 11.6 seconds.

What is a velocity-time graph?

A velocity-time graph is a graph that is used to represent a way in which the motion of an object can be represented with the velocity change on the vertical (y)-axis and change in time on the horizontal (x)-axis.

From the given information:

Willie's total distance covered = 100.0  mInitial acceleration (u) when the race commence = 0 m/s²Final velocity reached = 12.0 m/s

Using the following first equation of motion:

v = u + at     (where u = 0; at rest)

The time during the first acceleration can be computed as:

v = u + at

12 = 0 + (2 × t)

t = 12/2

t = 6 seconds

Using the fourth equation of motion, the distance covered in the first acceleration is determined as follows:

[tex]\mathbf{v^2 = u^2 + 2as}[/tex]

[tex]\mathbf{12^2 = (0)^2 + 2(2) \times s}[/tex]

144 = 4s

s = 144/4

s = 36 meters

However, he maintained a speed of 12.0 m/s till he is 16.0 m away from the finish line when he starts to decelerate.

Hence, at his highest speed;

The distance covered = 100 - 36 - 16 = 48 meters.

Recall that:

[tex]Time = \dfrac{distance}{velocity}[/tex]

Thus, the time for running at his highest speed is:

[tex]\mathbf{time = \dfrac{48 m}{12 m/s}}[/tex]

time = 4 seconds

His deceleration from his highest speed can be computed as:

[tex]\mathbf{v^2 = u^ 2 + 2as}[/tex]

here:

v = 8.00 m/su = 12.0 m/ss = h = 16.0 m

[tex]\mathbf{v^2 - u^2=2as}[/tex]

[tex]\mathbf{a = \dfrac{v^2 - u^2}{2s}}[/tex]

[tex]\mathbf{a = \dfrac{8^2 - 12^2}{2(16)}}[/tex]

[tex]\mathbf{a = \dfrac{64 - 144}{32}}[/tex]

a = -2.5 m/s²

Finally, using the first equation of motion, the total time can be computed as:

[tex]\mathbf{v_1 = u_1 + a_1t_1}[/tex]

[tex]\mathbf{8= 12 + (-2.5)t_1}[/tex]

[tex]\mathbf{t_1 = \dfrac{(8- 12)}{ (-2.5)}}[/tex]

[tex]\mathbf{t_1 = \dfrac{(-4)}{ (-2.5)}}[/tex]

[tex]\mathbf{t_1 = 1.6\ seconds}[/tex]

Thus, the total time = (6+4+1.6) seconds

The total time = 11.6 seconds

Learn more about the velocity-time graph here:

https://brainly.com/question/4710544


Related Questions



what types of simple machine is wheel and
axle?

Answers

Answer:

lever is the correct answer to the given question .

Explanation:

The main purpose of  wheel and  axle to Migrating the particles as well as elevate the objects and the people.The wheel is the rounded disk or it may be the the rectangular outer part and the axle is the curved cylinder.

The axle is operating via the center square So they are connected to the various object.The wheel and the axle applications involve trying to lifting the large loads as well as pushing the things rapidly.

Using the free-body diagram, calculate the net force acting on the sled. Is the sled in a state of dynamic equilibrium?

Answers

The net force acting on the sled is zero. The sled is in a state of dynamic equilibrium.

Explanation:

The two vertical forces, Fg and Fn, cancel each other out, but I choose to "ignore" them in my explenation, although they remain present at all times.

Since the net force acting on the sled is zero, the sled is in some state of equilibrium...

Whether the sled or a stationary equilibrium or in a dynamic equilibrium, depends on the the motion of the object. If the object is moving then it is a dynamic equilibrium and if the object is not moving, then there is a stationary equilibrium.

Look closely at the picture of the sled and the dogs, and try to find out if the sled is standing still or if the sled is moving with a constant speed.

From the movement of snow around the dogs, you can tell, the sled is moving. It clearly is not stationary or left standing still.

So in this case it must be a dynamic equilibrium. The combined pull of all dogs is shown by Ft = 225 N.

Apparently, the friction is displayed as an opposite force shown as Ff = - 225 N. These two horizontal forces cancel each other out.

Strangely enough, this can be compared with a situation like a "tug of war", in which both sides pull with equal force. Although there can be an enormous tension in the cord, nothing moves.... The same is true here although the sled is moving with a constant speed...

EXTRA

Given is that the sled is moving with a constant speed.

No imagine two situations and try to predict what will happen.... Here we go...

Situation 1 The friction force remains Ff = - 225 N but the dogs suddenly start to pull harder, say with a force of 275 N.

Now the net Force will be greater then zero. In that case it will be 275 - 225 = 50 N in favour of the dogs, which would result in an exeleration of the sled, and thus an increase of the speed...

Situation 2 The friction force becomes greater Ff = - 300 N, but the dogs pull with the same force of 225 N.

Now the net Force will be less then zero. In that case it will be 225 - 300 = -75 N in favour of the friction Force, which would result in slowing down the sled. Perhaps the sled operator applied the brake on the sled, which caused a deceleration of the sled, and thus the speed decreases.

Answer:

yes

Explanation:

edg 2020

Find total displacement. 10 points. Will give brainliest!

Answers

Answer:

20.5 m North East.

Explanation:

The attached photo gives the illustration of Alan's walk.

In the attached photo, d is the total displacement of Alan's walk.

Thus, we can obtain the value of by using the cosine rule as shown:

Angle D = 138°

Side opposite D = d

Side opposite C = 12 m

Side opposite E = 10 m

d² = c² + e² – 2ce Cos D

d² = 12² + 10² – 2 × 12 × 10 × Cos 138°

d² = 144 + 100 – 240 × Cos 138°

d² = 244 – – 178.355

d² = 244 + 178.355

d² = 422.355

Take the square root of both side

d = √422.355

d = 20.5 m.

Since his new position is on a bearing of 042°, Alan' total displacement is 20.5 m North East.

HELPPPP!!!!!

At which point does the satellite have the most gravitational potential energy?
O A. Point A
O B. Point B
O C. Point
OD. Point D

Answers

Answer:

Since gravitational potential is generally defined to be zero at infinity

and gravity does work as an object moves from infinity in a gravitational field,  

(the potential becomes more negative)  the farther the satellite is from the attractive force the greater is its gravitational potential. Since point E is most distant from the attractive force it has the most gravitational potential.

The Gravitational potential energy connected to a planet's position within the gravitational field of a central object, such as a star or a larger planet, is referred to as its gravitational energy.

The gravitational potential energy is given by:

PE = -G × (M × m) ÷ r

Here, (G) is the gravitational constant, (M) is the mass of a planet, (m)  is the mass of a planet, and distance (r).

From the given figure, points E and A are the farthest.

Hence, at points E and A satellite have the most gravitational potential energy

To learn more about Gravitational potential energy, here:

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What is the magnitude of these two vectors: 101 m 60.0 degrees 85.0 m

Answers

Answer:

85.0 please I don't understand

Please someone to help me with this will be very grateful In a light bulb, how is electrical energy transformed into light? and in an LED, will it be the same?

Answers

Answer:

LED;

      The energy of photons emitted by an LED is dictated by the band gap of the semiconductor used – the energy required to make an electron–hole pair. When an electron and hole recombine in a radiative process, a photon carries away the extra energy.

BULB

        In the light bulb, the flow of charge through the filament heats it up and causes it to glow. In this way, the light bulb converts electrical energy to heat energy and light energy. ... 1, chemical potential energy is converted to electrical energy, which is immediately converted to light energy and heat energy

       This flow of charge converts chemical potential energy into electrical energy. In the light bulb, the flow of charge through the filament heats it up and causes it to glow. In this way, the light bulb converts electrical energy to heat energy and light energy. bulb have a fillament but LED have no filament they produce energy through clod process but bulb have a filament and they produce energy through hot process

Explanation:

This progression of charge changes over substance expected vitality into electrical vitality. In the light, the progression of charge through the fiber warms it up and makes it shine. Along these lines, the light believers electrical vitality to warm vitality and light vitality.

hope soo u can understand my point

water is a nonpolar molecule true or false​

Answers

Answer:

Water is non-polar molecule False

Water is polar molecule because the electronegativity of Oxygen is much greater than electronegativity of hydrogen and it has also a bend shape that is why it is polar molecule.

Explanation:

I hope this will help you :)

False. Water is a polar molecule.

About water

Water (H2O) consists of two hydrogen atoms and one oxygen atom. The oxygen atom has a higher electronegativity, meaning it attracts electrons more strongly than hydrogen.

As a result, the shared electrons in the covalent bonds between hydrogen and oxygen are pulled closer to the oxygen atom, creating an uneven distribution of charge.

This leads to a partial negative charge (δ-) on the oxygen atom and partial positive charges (δ+) on the hydrogen atoms, making water a polar molecule.

More on polarity of water can be found here: https://brainly.com/question/30530422

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why is urbanization a contribution to pollution?

Answers

Answer:

people in urban areas strip the soil of nutrition and makes it difficult to grow crops. people of urban areas consume more energy,food,and water. people in urban areas remove minerals and metals from the ground so, urbanization is a contribution to pollution .

Explanation:

it may help you and give me brainliest

Answer:

pollution and loss of trees not to mention how much electricity we use which doesnt benefit the world.

Explanation: because when we urbanize things we get rid of natural resources around us

If It took 40 Seconds for a vehicle of weight 40,000 Newton to move round a 7 metres, What time will it achieve same feat for another circular path Of radius 21 metres given the Condition of the vehicle remains the same.​

Answers

Answer:

  t = 376.99 s

Explanation:

We must solve this problem with the equations and kinematics, let's start by looking for the speed of the vehicle,

         v = d / t

         v = 7/40

         v = 0.175 m / s

Since the speed e remains constant, we must find the length of the circle is

          L = 2π r

          L = 2π 21

          L = 131.95 m

In the problem it does not specify clearly, but in general the curves of the road correspond to half a circle, so the length of the road is

         L ’= L / 2

         L ’= 131.95 / 2 = 65.97 m

as the speed is constant

          t = L ’/ v

          t = 65.97 / 0.175

          t = 376.99 s

The volume of an object as a function of time is calculated by v = At3+B÷t where t is time measured in seconds and v is in cubic metres. Determine the dimension of the constants A and B.​

Answers

Answer:

A = m³/s³ = [L]³/[T]³ = [L³T⁻³]

B = m³s = [L³T]

Explanation:

We have the equation:

V = At³ + B/t

where, the dimensions of each variable are as follows:

V = m³ = [L]³

t = s = [T]

substituting these in equation, we get:

m³ = A(s)³ + B/s

for the homogeneity of the equation:

A(s)³ = m³

A = m³/s³ = [L]³/[T]³ = [L³T⁻³]

Also,

B/s = m³

B = m³s = [L³T]

How is it possible to blow a balloon? ​

Answers

Explanation:

To blow up a balloon, start by pinching the neck of the balloon with your index finger and thumb. Then, take a deep breath and put the opening of the balloon in between your lips. When you're ready, loosen your grip on the neck and blow into the balloon opening so the balloon starts to fill with air.May

Swamp coolers are effective because _____.

A. the water is colder than the air.
B. the water pulls heat from the room to undergo a phase change.
C. the thermal energy of the water is decreasing.
D. the water's latent heat of vaporization is being pulled from the air.​

Answers

Answer:

D. the water's latent heat of vaporization is being pulled from the air.

Explanation:

A swamp cooler also generally referred to as the evaporative cooler is an electronic device that uses moisture to cool air. This simply means that, the electronic device works on the principle of evaporation of water to cool the surrounding air.

In swamp coolers, water absorbs large amount of warm air via the evaporative wet cooler pad, so as to evaporate and consequently cooling the air effectively and efficiently.

Swamp coolers are effective because the water's latent heat of vaporization is being pulled from the air.

The latent heat of vaporization can be defined as the energy that is being absorbed by water during evaporation.

The swamp coolers are typically made up of the following essential components, these are;

1. Float.

2. Blower.

3. Pump.

4. Evaporative pad.

5. Water supply valve.

Hence, through the principle of evaporative cooling (latent heat of vaporization), swamp coolers reduces or lower the air temperature in its surroundings.

Answer:

B and D

Explanation:

A machine can never be 100% efficient because some work is always lost due to which factor?
A.friction
B.gravity
C.static
D.input force

Answers

Answer:

A. can never be efficient due to friction

HEY!!

Answer:

A. friction

Explanation:

Now if we obtain output work same as input energy then it is 100% efficient.

but this is only possible when we have no energy loss while it is not possible due to many reasons:

one of the main cause of energy loss is friction

A machine can never be 100% efficient because some work is always lost due to the lack of materials or equipment that would convert work by 100%. but so far, no machine has got 100% efficiency.

So when the machine are working there must be a friction between its working parts due to which the out-input energy is lost in different parts and hence we can never be 100% efficient machine.

HOPE IT HELPS!!

If it takes 600 N to move a box 5 meters, how much work is done on the box?
O
A. 600 J
OB. 5,000 J
O C. 3,000 J
O D. 120 J​

Answers

Answer:

3000 J

Option C is the correct option.

Explanation:

Given,

Force = 600 N

Distance = 5 meters

Work = ?

Now,

Work = Force [tex] \times [/tex] distance

[tex] = 600 \times 5[/tex]

Calculate the product

[tex] = 3000 \: [/tex] Joule

Hope this helps...

Good luck on your assignment..

C it is 600 x 5 = 3000 J hope this helped!

A car has a mass of 1.00 × 103 kilograms, and it has an acceleration of 4.5 meters/second2. What is the net force on the car

Answers

Answer:

[tex]4.5 *10^{3}\ kgm/s^{2}[/tex]

Explanation:

Given:

[tex]Mass= 1.00 * 10^{3} \ kilograms,\\Acceleration =4.5\ meters/second^{2}[/tex]

As we know that

Force=Mass * Acceleration

Putting the value of mass and Acceleration  we get ,

[tex]Force\ = \ 1.00 * 10^{3} * 4.5\ m/s^{2}[/tex]

[tex]Force\ =4.5 * \ 10^{3} \ kgm/s^{2}[/tex]

Therefore Net force is :[tex]4.5 *10^{3}\ kgm/s^{2}[/tex]

Answer:

See image

Explanation:

Plato

What do you observe as you immerse the empty jug in a bucket which contains water? Explain why you observe this phenomenon. ​

Answers

Answer:

The jug drowns because the density of the jug is more than that of the density of water.

Answer:

it gets force upwards .

as there is presence of atmospheric pressure in it which causes upthrust and push upwards.

Listed below are the measured radiation absorption rates​ (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the​ 5-number summary. 1.16 0.85 0.69 0.75 0.95 0.93 1.18 1.17 1.42 0.54 0.57 The​ 5-number summary is nothing​, nothing​, nothing​, nothing​, and nothing​, all in​ W/kg. ​(Use ascending order. Type integers or decimals. Do not​ round.)

Answers

Answer:

The 5-number summary is

1. Median = 0.93 W/kg

2. Lower quartile = 0.69 W/kg

3. Upper quartile = 1.16 W/kg

4. Minimum value = 0.54 W/kg

5. Maximum value = 1.42 W/kg

Explanation:

We are given the measured radiation absorption rates​ (in W/kg) corresponding to 11 cell phones.

1.16 0.85 0.69 0.75 0.95 0.93 1.18 1.17 1.42 0.54 0.57

What is 5-number summary?

A 5-number summary refers to a box plot that basically shows 5 statistical characteristics of a data set.

These statistical characteristics are:    

1. Median

2. Lower quartile

3. Upper quartile  

4. Minimum value  

5. Maximum value  

1. Median:

Arrange the data in ascending order

0.54 0.57 0.69 0.75 0.85 0.93 0.95 1.16 1.17 1.18 1.42

(n+1)/2 gives the median value of the data set.

(11 + 1)/2 = 6th position

Therefore, 0.93 W/kg is the median of the data set.

2. Lower quartile:

Divide the data set into two equal halfs (include median in both if n = odd)

Lower half = 0.54 0.57 0.69 0.75 0.85 0.93

Upper half = 0.93 0.95 1.16 1.17 1.18 1.42

The lower quartile is the median of the lower half of the data set.

Lower half = 0.54 0.57 0.69 0.75 0.85 0.93

The median is 6/2 = 3rd position

Therefore, the lower quartile of the data set is 0.69 W/kg

3. Upper quartile:

Divide the data set into two equal halfs (include median in both if n = odd)

Lower half = 0.54 0.57 0.69 0.75 0.85 0.93

Upper half = 0.93 0.95 1.16 1.17 1.18 1.42

The upper quartile is the median of the lower half of the data set.

Upper half = 0.93 0.95 1.16 1.17 1.18 1.42

The median is 6/2 = 3rd position

Therefore, the upper quartile of the data set is 1.16 W/kg

4. Minimum value:

The minimum value is the least value in the data set.

0.54 0.57 0.69 0.75 0.85 0.93 0.95 1.16 1.17 1.18 1.42

Therefore, the minimum value of the data set is 0.54 W/kg

5. Maximum value  

The maximum value is the least value in the data set.

0.54 0.57 0.69 0.75 0.85 0.93 0.95 1.16 1.17 1.18 1.42

Therefore, the maximum value of the data set is 1.42 W/kg

The box plot is illustrated in the attached diagram.

N2 + O2 → 2NO N-N triple bond: 941 kJ/mol O-O double bond: 495 kJ/mol N-O bond: 201 kJ/mol

Answers

Answer:

[tex]\large \boxed{\text{761 kJ}}[/tex]

Explanation:

You calculate the energy required to break all the bonds in the reactants.

Then you subtract the energy needed to break all the bonds in the products.

                        N₂  +   O₂   ⟶         2NO

                     N≡N  + O=O ⟶       2O-N=O

Bonds:         2N≡N   1O=O        2N-O + 2N=O

D/kJ·mol⁻¹:     941      495           201      607

[tex]\begin{array}{rcl}\Delta H & = & \sum{D_{\text{reactants}}} - \sum{D_{\text{products}}}\\& = & 2 \times 941 +1 \times 495 - (2 \times 201 + 2\times 607)\\&=& 2377 - 1616\\&=&\textbf{761 kJ}\\\end{array}\\\text{The enthalpy of reaction is $\large \boxed{\textbf{761 kJ}}$}.[/tex]

Wood has chemical energy which can be used to generate thermal and radiant energy when burned in a fire place which best explains what happens to the total amount of energy in this scenario

Answers

Answer:

c i took the test

Explanation:

The total amount of energy in this scenario is transformed into other forms of energy because of the burning process of the wood.

What happens to the total amount of energy in this scenario?

The energy present in the wood change into other forms of energy such as heat and radiant energy. We know that during a reaction, matter is transformed into another form with the release of different types of energy.

So we can conclude that he total amount of energy in this scenario is transformed into other forms of energy because of the burning process of the wood.

Learn more about energy here: https://brainly.com/question/13881533

A friend of yours who has not taken an astronomy class looks at your textbook and really likes the picture of the Pleiades, a cluster of stars surrounded by a bluish reflection nebula. She wants to know what causes that beautiful blue glow. To explain it to her, you want to compare the process that causes the blue glow to something that is in your friend's everyday experience. Which of the following terrestrial phenomena is the result of the same type of process that makes a reflection nebula in space?
A. the blueish glow of the flame on a gas stove
B. the blue light you see reflected from a blue sweater
C. the blue colour of the Earth's sky
D. the blue-white colour of the hottest stars
E. the blue feeling you get when you don't do well on an astronomy exam

Answers

Answer:

C. the blue colour of the Earth's sky

Explanation:

The Pleiades is a cluster of sister stars that are among the closest star cluster to earth.

The reflection nebula of the Pleiades is due to the scattering of the blue light from the hot blue luminous stars that dominate the star cluster. Th blue light is scattered from dust molecules, thought to be predominantly carbon compound like diamond dusts, and other compounds like iron.

The blue colour of the Earth's sky is the closest terrestrial phenomenon to the reflection nebula. On a clear cloudless day, molecules in the air scatter the blue component of light more than the other component colours of white light, giving the sky its characteristic blue coluor.

The common characteristics of the luminous nebula and the Earth's blue sky is that they both have their light scattered by the presence of small particles.

HURRY!!!!

Fred and Ted are racing cars down a frictionless track with a jump at the bottom
when suddenly an argument breaks out. Fred says, “If we release the cars from a
point twice as high as we are currently doing so, the cars will have twice the
gravitational potential energy, and therefore be travelling twice fast when they hit
the jump." Ted says, “In order to double the speed of the cars when they hit the
ramp, I think we will have to more than double the height!" Who is right? Prove it!

Answers

Answer:

Ted is correct

Explanation:

The equation for gravitational potential energy is PE = m·g·h

The equation for gravitational kinetic energy is KE = 1/2·m·v²

Where:

m = Mass of the object (The racing car)

g = Acceleration due to gravity

h = The height to which the object is raised

v = Velocity of motion of the object

From the principle of conservation of energy, energy can neither be created nor destroyed but changes from one form to another, we have;

Potential energy gained from location at height h = Kinetic energy gained as the object moves down the level ground

m·g·h = 1/2·m·v² canceling like terms gives

g·h = 1/2·v²

v = (√2·g·h)

If the speed is doubled, we have

2·v = 2× (√2·g·h) =  (√2·g·4·h)

Therefore, if 2·v = v₂ then v₂ =  (√2·g·4·h)

Since g, the acceleration due to gravity, is constant, it means that the initial  height must be multiplied or increased 4 times to get the new height, that is we have;

v₂ =  (√2·g·4·h) = (√2·g·h₂)

Where:

4·h = h₂

Which gives;

v₂² = 2·g·h₂

1/2·v₂² = g·h₂

1/2·m·v₂² = m·g·h₂ Just like in the first relation

Therefore, Ted is correct s they need to go up four times the initial height to double the speed.

The speed of an electromagnetic wave is a constant, 3.0 × 108 m/s. The wavelength of a wave is 0.6 meters. What is the frequency?

Answers

Answer:

The answer to this should be: 5.0 x 10⁸ Hz

Explanation:

The speed, s, of a wave, equals the product of its frequency, ν, times its wavelength, λ:

s = νλ.

As the question states, the speed of an electromagnetic wave is a constant, c, equal to 3.0 × 10⁸ m/s.

Substituting this constant in the equation for the speed of the wave, you get:

c =  νλ.

From that equation, you can solve for the frequency to show the inverse realation of frequency and wavelength:

ν =  c / λ

Now, you just have to substitute values and compute, leaving you with:

5.0 x 10⁸ Hz

The center of a bar magnet whose magnetic dipole moment is <6,0,0> A·m2 is located at the origin. A second bar magnet whose magnetic dipole moment is <7, 0, 0> A·m2 is located at 0.23 m. What is the vector force on the second magnet due to the first magnet? (Express your answer in vector form.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The force is  [tex]\= F = (-0.001089, 0 ,0)[/tex]

Explanation:

From the question we are told that

      The magnetic dipole moment of first magnet  is  [tex]z_1 = (6,0,0) A \cdot m^2[/tex]

       The magnetic dipole moment of second magnet  is  [tex]z_2 = (7,0,0) A \cdot m^2[/tex]

       The location of the second magnetic dipole moment is  [tex]x = 0.39 \ m[/tex]

Generally the vector force on the second magnet due to the first is mathematically evaluated as

         [tex]\= F =- \frac{\mu_o }{4 \pi} * \frac{6 * z_1 * z_2}{x^4}[/tex]

Where  [tex]\mu _o[/tex] is the permeability of free space with value  [tex]4\pi * 10^{-7} N/A^2[/tex]

substituting values

            [tex]\= F = - \frac{ 4\pi * 10^{-7} }{4 \pi} * \frac{6 * 6 * 7}{0.39^4}[/tex]

           [tex]\= F = (-0.001089, 0 ,0)[/tex]

Note the negative sign show that the force is an attraction force

HELPPP!!! I will give Brainliest!!! super easy question

I have a question. If a question has the numbers 500kg and 3000N, how many significant digits should the answer have?

Answers

Answer:

most likely just 1

Explanation:

I sucked at sig figs in middle school, in fact it was the lowest test grade i ever received, but it is relatively simple.

because there is only one sig fig involved in each number, there can't be multiple sig figs here. 3000/500=6

500/3000=2(round up from 1.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666) you get the point.

Indicar tipo de unión química que presentan los siguientes compuestos. Realizar a representación de Lewis, molecular o iónica, según corresponda: a-CH4 b-SrO c-HBr d-NH3 e-Cl2O f-Li2O g-CO2 h-MgCl2

Answers

Answer:

Explanation:

a. CH₄- Covalent bonding(ligação covalente)

b. SrO- ionic bonding (ligação iônica)

c. HBr- Polar Covalent bonding (ligação covalente polar)

d. NH₃ - covalent bonding(ligação covalente)

e. Cl₂O - Covalent bonding (ligação covalente)

f. Li₂O- ionic bonding (ligação iônica)

g. CO₂ - double covalent bonding (ligação covalente dupla)

h. MgCl₂- ionic bonding(ligação iônica)

Inertia law what happens when You are standing on the bus and the bus stops abruptly:

Answers

Answer:

You will fly forward in the bus until you hit something.

Explanation:

While standing there on the bus, you are traveling at the same speed as the bus. If the bus suddenly stops, you will still be traveling at the same speed you started with. That is until you hit something hard enough or big enough to stop you.

Answer:

You will fall towards the front of the bus i.e towards its front seat

Explanation:

When the bus is moving, you are supposed to be in that motion. Your body is experiencing a forward force as the bus is moving forward So when bus stops suddenly your inertia does not allow you to stay in that standing position it will let you move forrward to maintain your inertia so you will feel a forward push. (If you were sitting on a seat with seatbelt on you that seatbelt will make you come back when car or bus stops.)

A ball thrown horizontally at 18.5 m/s from the roof of a building lands 38.9 m from the base of the building.
How tall is the building?

Answers

Answer: height = 60.5 m

Explanation:

given that the

Initial velocity U = 18.5 m/s

Range = 38.9 m

Let us use second equation of motion under gravity

S = Ut + 1/2gt^2

Where S = range R

Since the motion is horizontal, g = 0

The equation is reduced to:

R = Ut

Make t the subject of formula

t = R/U

Substitute range R and U into the formula

t = 38.9/ 18.5

t = 2.1 s

To calculate the vertical height, we will consider g = 9.81 m/s^2 by using the same second equation of motion

h = Ut + 1/2gt^2

Substitute U, t and g into the formula

h = (18.5 × 2.1) + 1/2 × 9.8 × 2.1^2

h = 38.9 + 21.609

h = 60.51 m

The building is 60.51 metres tall.

Momentum is a measure of the
of an object.
Which term accurately completes the sentence?

Answers

Answer:

Momentum is define as the product of the mass and velocity of a body. It is measured in Kgm/s.

Explanation:

Momentum is the product of mass and velocity of an object. When an object or a body of mass 'm' is moving with velocity 'v', then its momentum can be determined as;

momentum (P) = mass × velocity

i.e            P = m × v

                  = mv

It is measured in Kgm/s.

The change in momentum of a body is referred to as its impulse (Ft).

ΔP = m(v - u) = Ft

Where: P is the momentum of the object, m is its mass, v is its final velocity, u is the initial velocity, F is the force and t is the time in which the force acts.

Answer:

B. Motion

Explanation:

momentum is the measure of motion.

PLEASE HELP, THANK YOU!.. :)

Answers

Answer:

First Reaction:

[tex]^{234}U[/tex]  =>  [tex]^{230} Th + ^{4}He[/tex]

Second Reaction:

[tex]^{230} Th[/tex] => [tex]^{226} Ra + ^{4}He[/tex]

Combined Reaction:

[tex]^{234} U[/tex]  => [tex]^{226}Ra + 2( ^{4} He)[/tex]

Sound travels at approximately 1,500 m/s in sea water. How far will a sonar pulse travel in 90 s?

Answers

Answer:

135,000 m

Explanation:

(1500 m/s) (90 s) = 135,000 m

The distance travelled by sonar pulse will be 135,000 m. Distance is a numerical representation of the distance between two objects or locations.

What is wavelength ?

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometers, and other units since it is a distance measurement.

The distance travelled by sonar pulse is found as;

[tex]\rm d = v \times t \\\\ \rm d = 1500\times 90 \\\\ \rm d = 135,000 \ m[/tex]

Hence, the distance travelled by sonar pulse will be 135,000 m.

To learn more about the wavelength, refer to the link;

brainly.com/question/7143261

#SPJ2

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