What is the speed, in m/s, of a wave on a cord if it has a wavelength of 3.5 m and a period of 0.5 s?

\( \bf \underline{ \underline{Given : }}\)

\( \bf \underline{ \underline{To \: be \: calculated : }}\)

Calculate the height covered by a freely falling apple drop in 5.6 seconds.

\( \bf \underline{ \underline{Solution : }}\)

According to the Second equation for free falling body

\( \sf{h = ut + \frac{1}{2} gt {}^{2} }\)

\( \sf \red\star \: {Substituting \: the \: values}...\)

\( \sf\implies \:h = 0 \times 5.6 + \dfrac{1}{ \cancel{2}} \times \cancel{ 9.8} \times {(5.6)}^{2} \)

\( \sf\implies \: h = 0 + 4.9 \times 31.36\)

\( \sf\implies \: h = 153.66 \: m\)

\( \sf\therefore \: Height \: covered \: by \: an \: apple \: is \: 153.66 \: m.\)

The freely falling apple will drop 153.67 m in 5.6 secs when released from rest

For An apple at rest :

Initial velocity ( u ) = 0 m/s

free fall acceleration ( due to gravity ) (g) = 9.8 m/s²

Time travelled by apple ( t )  = 5.6 s

To determine the how far the apple will travel after been released

we will apply this formula

\(S = ut + 1/2 gt^2\)

S = 0 ( 5.6 ) + 1/2 * ( 9.8 ) * ( 5.6 )²

   = 153.67 m

Hence we can conclude that the freely falling apple will drop 153.67 m when released from rest.

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The time will be the same for both horizontal and vertical component. The initial speed is 10.7 m/s

Speed is a distance travel per time taken. It is a scalar quantity and it is measured in m/s

Given that a person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a height of 52 m and it lands a distance of 35 m from the base of the cliff.

The rock will move vertically downward with initial velocity = 0. The time taken will be constant. That is, same horizontally.

Let us first calculate the time by using the formula

h = ut + 1/2gt²

Where

Substitute all the necessary parameters into the formula

52 = 0 + 1/2 × 9.8 × t²

52 = 4.9t²

t² = 52/4.9

t² = 10.6

t = √10.6

t = 3.26 s

The speed at which the rock was initially kicked can be found by

R = Ut

35 = U × 3.26

U = 35/3.26

U = 10.7 m/s

Therefore, rock was initially kicked at a speed of 10.7 m/s

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A  0.32 kg toy mouse was on a couch that is 0.35 m high, a car picks up the mouse and puts it in a nearby bookcase that is 2.85 m high, and the car did 7.84 J of work.

The work done by the car is calculated by ΔPE = mgh ,

(here the m=mass(0.32 kg)

g = acceleration(9.8 \(m/s^2\))

h= change in height  (2.85 m - 0.35 m = 2.50 m)

ΔPE = 0.32 kg x 9.8 \(m/s^2\) x 2.50 m = 7.84 J

Hence, a 0.32 kg toy mouse was on a couch that is 0.35 m high, a car picks up the mouse and puts it in a nearby bookcase that is 2.85 m high, and the car did 7.84 J of work.

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The things would which would be needed to survive the mesosphere include the following below:

This is refereed to as the third layer of the atmosphere which is present above the stratosphere and directly below the thermosphere.

It has a low density of gas and water vapor present in the area which is why it is no place for human life as there is a shortage of oxygen and other gases needed for some biochemical reactions in the ecosystem. This is therefore the reason why things such as food, water and oxygen supply is neeeded tio survive in the mesosphere.

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Answer:

Gravity

Explanation:

The time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

An echo is a repetition or reflection of a sound or signal. It can be caused by sound waves bouncing off a surface, signal interference, or the repetition of a message in communication.

The speed of sound in air at room temperature is approximately 343 meters per second. When a person claps, the sound waves propagate outward in all directions and reach the school building, where they bounce off and return to the person as an echo. The time it takes for the sound to travel the distance to the building and back to the person is the time interval between the clap and the echo.

To calculate the time interval, we can use the following formula:

time = distance / speed

where distance is the total distance traveled by the sound (twice the distance from the person to the school building), and speed is the speed of sound in air.

distance = 2 x 300m = 600m

speed = 343 m/s

time = 600m / 343 m/s = 1.75 seconds (rounded to two decimal places)

Therefore, the time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

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a) Cart is speeding up ; b) cart is slowing down and c) cart is not moving.

Force of friction is a contact force whereas friction is the force that resists motion when surface of one object comes in contact with surface of another. Example is the force of friction between two stones rubbed with each other.

Static friction magnitude is directly proportional to normal force magnitude and the roughness between sliding surfaces. The ratio of magnitude of frictional force divided by normal force magnitude is called as coefficient of friction. Friction takes place at the point of contact between two bodies.

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12. The time taken for the journey is 400 s

13. The time taken for the train is 200 s

14. The time taken is 7 h

15. The time taken for the beetle is 12 s

16. The time taken for the journey is 0.0068 h

The time taken in each case as given by the question can be obtain as follow:

12. The time taken for the journey

Time taken = Distance / Speed

Time taken = 26000 / 65

Time taken = 400 s

13. The time taken for the train

Time taken = Distance / Speed

Time taken = 3200 / 16

Time taken = 200 s

14. The time taken to travel

Time taken = Distance / Speed

Time taken = 672 / 96

Time taken = 7 h

15. The time taken for the beetle

Time taken = Distance / Speed

Time taken = 1.08 / 0.09

Time taken = 12 s

16. The time taken for the journey

Time taken = Distance / Speed

Time taken = 35 / 5147

Time taken = 0.0068 h

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Hypothesis, If the mass of the cylinder increases, then the temperature of the water will also increase because an increase in mass leads to greater potential energy, which is converted to thermal energy in the system.

According to the principle of conservation of energy, energy cannot be created or destroyed but can be transformed from one form to another. In this case, potential energy from the mass of the cylinder can be converted into thermal energy in the system. When the cylinder is lifted and submerged in the water, it possesses gravitational potential energy due to its elevated position.

As the cylinder is released and descends into the water, this potential energy is converted into kinetic energy, causing the water molecules to move and collide with higher energy. These collisions generate heat and increase the overall temperature of the water. By increasing the mass of the cylinder, more potential energy is stored.

As a result, there is a greater amount of energy available to be converted into thermal energy when the cylinder is released into the water. Thus, the temperature of the water is expected to increase as the mass of the cylinder increases.

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Answer: Work can be calculated with the equation: Work = Force × Distance. The SI unit for work is the joule (J), or Newton • meter (N • m). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.

Explanation:

Answer:Work can be calculated with the equation: Work = Force × Distance. The SI unit for work is the joule (J), or Newton • meter (N • m). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.

Explanation:

Answer:

the speed of light in air is about 299,000,000 and 3×10⁸ m/s

Answer:

The correct answer is D. solids and liquids because their particles are arranged more closely together.

Answer:

68.5 meters

Explanation:

To solve this problem, we can use trigonometry and create a right triangle with the river as the hypotenuse.

Let's call the width of the river "w". We can use the sine function to find the length of the opposite side of the triangle (the distance from the surveyor to the tree).

sin(33.4°) = opposite/hypotenuse

sin(33.4°) = w/x

w = x * sin(33.4°)

w = 118 m * sin(33.4°)

w = 68.5 m

Therefore, the width of the river is approximately 68.5 meters.

Answer:

88.89 km/h.

Explanation:

D = S + T

   = 320km + 320km = 640km.

T = D/S

T1 = 320km / 80km/h = 4 hours

T2 = 320km / 100 km/h = 3.2 hours

Ttotal = T1 + T2 = 4 hours + 3.2 hours = 7.2 hours.

S = D/T

  = 640km / 7.2 hours

  = 88.89 km/h.

*Note:

S = Average speed.

D = Total distance.

T = Total time.

The average speed of the motorist for the entire trip is approximately 88.89 km/h.

To calculate the average speed of the motorist for the entire trip, we need to consider the total distance traveled and the total time taken. In this case, the motorist travels 320 km at 80 km/h and then another 320 km at 100 km/h.

First, let's calculate the time taken for each leg of the trip:

Time taken for the first 320 km at 80 km/h:

Time = Distance / Speed = 320 km / 80 km/h = 4 hours

Time taken for the second 320 km at 100 km/h:

Time = Distance / Speed = 320 km / 100 km/h = 3.2 hours

Now, let's calculate the total distance and total time for the entire trip:

Total distance = 320 km + 320 km = 640 km

Total time = 4 hours + 3.2 hours = 7.2 hours

Finally, we can calculate the average speed:

Average speed = Total distance / Total time = 640 km / 7.2 hours ≈ 88.89 km/h

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The incorrect statements regarding how higher temperatures result in higher

reaction rates are:

1) Reacting molecules have higher kinetic energies but lower collision frequencies.

2) The activation energy barrier for the reaction is lowered.

3) Endothermic reactions become exothermic reactions at higher temperatures.

Higher temperatures result in an increase in both kinetic energy and collision frequency of molecules.

The activation energy barrier for the reaction does not change with temperature,

But a greater fraction of colliding molecules has the minimum energy required to overcome the activation energy barrier at higher temperatures.

Endothermic reactions do not become exothermic reactions at higher temperatures. These reactions may occur at a faster rate, but the overall energy change of the reaction does not change.

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Answer:

Explanation:

ln(A) = ln(A₀) - kt

In order to reach a chambers temperature of a minimum of 250°F (121°C) for just a set amount of time—typically 30–60 minutes—autoclaves employ saturation steam with a pressure of around 15 square inches per square.

To eliminate any potential microbiological life on a contaminated load, autoclaves use steam heat. Once a cargo, also known as goods, has gone through a complete sterilising cycle, it is deemed sterile.

An autoclave is used to sterilise surgical instruments, lab equipment, pharmaceutical products, and other things. It has the capacity to sterilise devices of all shapes and sizes as well as hollow items, liquids, solids, and solids. The dimensions, architecture, and operation of autoclaves vary.

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The object distance of the lens is 10 cm and the image distance of the lens is 30 cm.

The object and image distance formed by the lens is calculated by applying the following lens formula.

v + u = 40 ------- (1)

v/u = 3 ------------ (2)

v = 3u

Substitute v into equation (1);

3u + u = 40

4u = 40

u = 40/4

u = 10 cm

The image distance = 3u

= 3 x 10 cm

= 30 cm

Thus, the object distance is 10 cm and the image distance is 30 cm.

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Answer:

(472i + 80.3j) m

Explanation:

Given the following :

Distance of tee shot = 300m

Distance of second shot = 189.0 m

Displacement r1 of tee shot :

r1 = 300 mi

Displacement r2 of second shot :

r2 = 172.0 mi + 80.3 mj

The final displacement of the golf ball from the tee:

r_final = r1 + r2

r_final = (300i)m + (172.0i + 80.3j) m

r_final = (300 + 172)i m + 80.3j m

r_final = (472i + 80.3j) m

The linear equation f(x) for the function is found as :

f(x) = -57x  + 16.5.

For the stated question:

f(0.1) = 10.5, and f(0.4) = −6.6

Slope m = (-6.6 - 10.5) / (0.4 - 0.1)

m = -57

The standard equation is:

10.5  = -57(0.1) + c

c = 16.5

linear equation f(x):

f(x) = -57x  + 16.5

Thus, the linear equation f(x) for the function is found as :

f(x) = -57x  + 16.5.

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The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.

To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.

The force between two charged particles can be calculated using Coulomb's law:

F = k * |q₁ * q₂| / r²

Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.

First, let's calculate the force exerted on q₂ by q₁:

F₁₂ = k * |q₁ * q₂| / r₁₂²

F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²

F₁₂ ≈ 252000 N

The force is positive because q₁ and q₂ have opposite charges.

Next, let's calculate the force exerted on q₂ by q₃:

F₂₃ = k * |q₂ * q₃| / r₂₃²

F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²

F₂₃ ≈ -63000 N

The force is negative because q₂ and q₃ have the same charge.

Finally, we can find the net force on q₂ by summing the individual forces:

Net force = F₁₂ + F₂₃

Net force = 252000 N + (-63000 N)

Net force ≈ 189000 N

The net force on particle q₂ is approximately 189000 N.

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Answer:

v = 25.45 m/s

Explanation:

In order to calculate the initial speed of the object, you take into account the formula for the maximum height reaches by the object. Such a formula is given by:

\(h_{max}=\frac{v_o^2}{g}\)   (1)

vo: initial speed of the object = 18 m/s

g: gravitational acceleration = 9.8 m/s²

Furthermore you use the following formula for the final speed of the object:

\(v^2=v_o^2-2gh\)       (2)

h: height

You know that the speed of the object is 18m/s when it reaches one fourth of the maximum height. You use this information, and you replace the equation (1) in to the equation (2), as follow:

\(v^2=v_o^2-2g(\frac{h_{max}}{4})=v_o^2-\frac{1}{2}g(\frac{v_o^2}{g})\\\\v^2=v_o^2-\frac{1}{2}v_o^2=\frac{1}{2}v_o^2\)

Then, you solve the previous result for vo:

\(v_o=\sqrt{2}v=\sqrt{2}(18m/s)=25.45\frac{m}{s}\)

The initial speed of the object was 25.45 m/s

Answer:

The  value  is   \(m \approx 310\)

Explanation:

From the question we are told that

     The  focal length of the objective is  \(f_o = 1.0 \ cm\)

    The  focal length of the eyepiece is  \(f_e = 2.0 \ cm\)

    The  tube length is  \(L = 25 \ cm\)

Generally the magnitude of the overall magnification is mathematically represented as

            \(m = m_o * m_e\)

Where  \(m_o\) is the objective magnification which is mathematically represented as

        \(m_o = \frac{L}{f_o }\)

=>      \(m_o = \frac{25}{1 }\)

=>      \(m_o = 25\)

\(m_e\) is the eyepiece magnification which is mathematically evaluated as

     \(m_e = \frac{L }{f_e }\)

     \(m_e = \frac{25 }{ 2}\)

      \(m_e = 12.5 \ cm\)

So

    \(m = 25 * 12.5\)

     \(m \approx 310\)

Answer:

23

Explanation:

3x-4

Answer:

Motivation is the process that initiates, guides, and maintains goal-oriented behaviors.

This is a Valid statement about pressure.

What is pressure.

pressure is continues physical force exerted on or against an object by something in contact with.

We know the idol gas equation, idyl gas equation. P v is equals to n r t. We can write the equation. As p is equal to n r upon v into p. Now n r upon v is equals to constant, is equals to constant. So we can write. P is equal to c into t. So now let us consider the ambient condition, which is p not equals to 101325 p. A and t naught is equal to 90 degrees. Fahrenheit will convert this value kelvin and get 5048.37 kelvin. So value of p, not anti. Note is 0 now from the modified idol equation. We have p equal to c t, so we can write it as a p. Not is equal to c and t not so we'll substitute the values 1013 to 5 p, a which is equal to c 2348.37 kelvin. So here we get the value of c, which is equals to 43.147. So from this we can say that the change in pressure for the 10 degree temperature drops so here delta equal to delta, which is equal to 10 degrees fahrenheit. We can again convert this value in the kelvin and we get 260.93 kelvin, so delta p is equal to c into delta. This will be delap equals to 43.147, as we get the value of c and 2 red 60.93 kelvin p, so delta p is equal to 43.147 So from this we can say that the change in pressure for the 10 degree temperature drops so here delta equal to delta, which is equal to 10 degrees fahrenheit. We can again convert this value in the kelvin and we get 260.93 kelvin, so delta p is equal to c into delta. This will be delap equals to 43.147, as we get the value of c and 2 red 60.93 kelvin p, so delta p is equal to 43.147 and 260.93 kelvin upon 694.75 p s. I so we finally get the value of delta p, which is equals to 1.63 p s. I.

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Answer:

10.0     zero, by Gauss' Law the symmetrical distribution will produce no internal electric fields

21.5     E = k Q / R^2     behaves as if all charge were at center

E = 9 E9 * 29.5 E-6 / .215^2 = 5.74E6 N/C

NO

Explanation:

A weather chart is a geographical map while an aneroid barometer is an anhydrous barometer(without liquid)