study smarter a charged capacitor and an inductor are connected in series at time t 0. in terms of the period t of the resulting oscillations, determine how much later the following reach their maximum value: (a) the charge on the capacitor; (b) the voltage across the capacitor, with its original polarity; (c) the energy stored in the electric field; and (d) the current.

Answers

Answer 1

Alternate Approach The inductor exhibits open circuit behavior at time t=0+. At t=0+, inductive reactance is infinite, causing the inductor to initially operate as an open circuit. The inductor similarly acts like a short circuit at steady state.

At time t 0, what is an inductor?

The inductor behaves as an open circuit with current reflected back at time t = 0 +. Important Information: A capacitor with a zero starting condition behaves as a short circuit at time t = 0 +, reflecting back voltage.

when an inductor and a charged capacitor are coupled?

At time t = 0, an inductor is coupled to a charged capacitor. Considering the capacitor and the inductor as one, Write out the equation for the effective potential difference across the combination at any instant in time t, and then solve it to find the instantaneous current through the combination.

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Related Questions

The luminous efficacy of a tungsten lamp is about 12 lumens/watt. What is the efficacy of a fluorescent tube (in lumens/watt)

Answers

Fluorescent tubes are more energy-efficient than tungsten lamps due to their higher efficacy. This means that fluorescent tubes produce more light output per unit of electrical power consumed compared to tungsten lamps.

To determine the efficacy of a fluorescent tube, we need to compare the amount of light output (lumens) to the electrical power input (watts). The luminous efficacy is defined as the ratio of luminous flux (in lumens) to power consumption (in watts).

Given that the luminous efficacy of a tungsten lamp is 12 lumens/watt, we can calculate the efficacy of a fluorescent tube by comparing its light output to power consumption.

Fluorescent tubes typically have higher luminous efficacies than tungsten lamps. They can range from around 50 to 100 lumens/watt, depending on the specific tube type and technology used.

Therefore, the efficacy of a fluorescent tube is significantly higher than that of a tungsten lamp, making it a more energy-efficient lighting option.

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A soccer ball accelerates at a rate of 22 m/s²

forward when kicked by a player. The soccer ball

has a mass of 0.5 kg. How much force was applied

to the ball?

Answers

The force applied to the ball is 11 Newtons.

What is Newton's second law of motion?

To solve this problem, we need to use Newton's second law of motion, which states that the force applied to an object is equal to its mass times its acceleration:

F = m * a

Here, we are given the acceleration of the soccer ball when it is kicked by a player. The acceleration is 22 m/s² forward. We are also given the mass of the ball, which is 0.5 kg.

To find the force applied to the ball, we simply need to plug these values into the equation:

F = m * a

F = 0.5 kg * 22 m/s²

F = 11 N

Therefore, the force applied to the ball is 11 Newtons.

Note that the unit of force is Newtons (N), which is the SI unit of force. The Newton is defined as the amount of force required to give a mass of 1 kilogram an acceleration of 1 meter per second squared. In this case, the force applied to the soccer ball is 11 Newtons, which means that it is enough force to give the ball a mass of 0.5 kg an acceleration of 22 m/s² forward.

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An object with a mass of 10kg accelerates 16 m/s2 when an unknown force is
applied to it. What is the amount of force?
160 N
9.8 m/s2
165.8 kg
1.6 N

Answers

Answer:

The answer is 160 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 10 × 16

We have the final answer as

160 N

Hope this helps you

04
5
Table 2 shows the results for two insulating materials.
Table 2
15
Material Time for temperature to decrease by 20 °C
in seconds
X-450
Y-745
Explain how the results in Table 2 can be used to compare the thermal conductivity of
the two materials.
[2 marks]

Answers

Table 2's data may be used to compare the thermal conductivity of the two materials by comparing the time required for the temperature to drop by the same amount, 20 °C for both materials.

How to determine thermal conductivity?

The thermal conductivity of the slower-cooling material is lower, while the thermal conductivity of the faster-cooling material is higher.

Based on the facts in Table 2, it is possible to conclude that material Y has a higher thermal conductivity than material X since it cools down faster (takes less time) than material X.

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a boy throws a ball straight up into the air. it reaches its highest point after 4 seconds.how fast was the ball going when it left the boy's hand​

Answers

Answer:

Explanation:

The most important thing to remember about parabolic motion in physics is that when an object reaches its max height, the velocity right there at the highest point is 0. Use this one-dimensional motion equation to solve this problem:

v = v₀ + at and filling in:

0 = v₀ + (-9.8)(4.0) **I put in 4.0 for time so we have more than just 1 sig fig here**

0 = v₀ - 39 and

-v₀ = -39 so

v₀ = 39 m/s

An atom of sodium and an atom of fluorine will combine to form sodium fluoride. Which of the following correctly describes sodium fluoride?

Answers

An atom of sodium and an atom of fluorine will combine to form sodium fluoride which is a compound: option D.

What is a chemical compound?

A chemical compound is a substance that is formed when two or more elements are chemically combined to form a single compound.

A compound can either be ionic in nature or covalent in nature.

Ionic compounds are formed when two oppositely-charged ions are held together by electrostatic forces of attraction.

For example, when sodium combines with fluorine, they form ions that are held together by electrostatic forces.

Covalent compounds are formed when atoms of different elements share electrons in covalent bonds.

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Complete question:

An atom of sodium and an atom of flourine will combine to form sodium flouride. Which of the following correctly describes sodium flouride?

Group of answer choices

A. an element

B. energy

C. an atom

D. compound

URGENT!!!

Calculate the frequency of violet light if the wavelength in air is 430nm.

* speed.of violet light in the prism = 2×10^8 m/s
* 1nm = 10^-9
* velocity of light in air = 3×10^8 m/s​

Answers

Answer:

\(f=6.97\times 10^{14}\ Hz\)

Explanation:

Given that,

Wavelength, \(\lambda=430\ nm=430\times 10^{-9}\ m\)

We need to find the frequency of the violet light.

We know that the relation between frequency and wavelength is given by :

\(f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{430\times 10^{-9}}\\\\f=6.97\times 10^{14}\ Hz\)

So, the frequency of violet light is \(6.97\times 10^{14}\ Hz\).

Solve for xxx. Enter the solutions from least to greatest.
Round to two decimal places.
(x + 8)^2 - 7 = 0(x+8)
2
−7=0

Answers

The given equation is (x+8)²-7=0 and is said to be round to two decimal places. The solution is said to be entered from least to the greatest that is -10.65 and -5.35.

The equation with its highest degree as 2 is called a quadratic equation. We get two solutions for it when we solve it.The quadratic equation is given here as (x+8)²-7=0.

Let us solve the above equation,

(x+8)²-7=0

(x+8)²=7

x+8= ±√7

x= -8 ±√7

The two values of x are √7-8, -8 -√7.

√7-8= -5.35

-8 -√7= -10.65

Thus, the solutions from least to the greatest are -10.65 and -5.35.

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A 4.5 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s 2 . If the upward acceleration of the bucket is 4.9 m/s2 , find the force exerted by the rope on the bucket of water. Answer in units of N.

Answers

Answer:

The force exerted by the rope on the bucket of water is 66.195 N.

Explanation:

Given;

mass of the bucket, m = 4.5 kg

acceleration of gravity, g = 9.81 m/s²

upward acceleration of the bucket, a = 4.9 m/s²

The upward force applied on the bucket by the rope is calculated as;

F = ma + mg

F = m(a + g)

F = 4.5(4.9 + 9.81)

F = 4.5(14.71)

F = 66.195 N

Therefore, the force exerted by the rope on the bucket of water is 66.195 N.

A brass rod is encased in aluminum what happens to the speed of a sound wave when it passes though the rod and moves from the brass into the aluminum

Answers

When a brass rod is encased in aluminum  its  speed of a sound wave increases when it passes though the rod and moves from the brass into the aluminum.

speed of sound in solids > speed of sound in liquids > speed of sound in gases.

So, sound travel faster in solids because the molecules are more closer in the solid state.

solid and liquid are less compressible than gas so liquids and solids have much greater bulk modulus than that of gases.

Thus the speed of sound increases when it travel from gases to solids state.

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plz answer this very soon

plz answer this very soon

Answers

Answer:

Im gonna say it is answer A:) Hope this helps!

Explanation:

Describe the language of the following PDA (z is the stack end symbol) (the figure can be located under a, z/bbz X, z/z b,6/1 ۸, 2/2 90 91 92 a, b/bbb 1 b,b/1

Answers

The language of the given pushdown automaton (PDA) can be described as follows:

The PDA has a stack alphabet consisting of symbols 'a', 'b', 'z', '6', '1', '۸', '2', '9', '0', 'x', 'y'. 'z' represents the stack end symbol.

The transitions of the pushdown automaton (PDA) are as follows:

(a, z, z) -> (X, z): This transition allows the PDA to replace an 'a' at the input with an 'X' on the stack while maintaining the stack end symbol 'z'.(z, b, z) -> (z, z): This transition allows the PDA to pop a 'b' from the input without modifying the stack.(z, z, b) -> (6, 1): This transition allows the PDA to push '6' and '1' onto the stack when encountering a 'b' on the input.(6, 1, b) -> (۸, 2): This transition allows the PDA to replace the '6' and '1' on the top of the stack with '۸' and '2' respectively when another 'b' is read from the input.(x, y, b) -> (b, b, b): This transition allows the PDA to replace 'x' and 'y' on the top of the stack with 'b', 'b', and 'b' when a 'b' is read from the input.(b, b, b, b) -> (1, b): This transition allows the PDA to replace the 'b', 'b', and 'b' on the top of the stack with '1' and 'b' when another 'b' is encountered.(1, b, b) -> (1, 1): This transition allows the PDA to replace the '1' and 'b' on the top of the stack with '1' and '1' when another 'b' is read from the input.(1, 1, z) -> (z, z): This transition allows the PDA to pop '1' from the stack without modifying the input.

Thus, the language accepted by this PDA is characterized by a sequence of 'a's followed by a sequence of 'b's, where the number of 'b's is three times the number of 'a's, and each 'b' is followed by a corresponding sequence of '90', '91', '92', 'a', 'b', 'b', 'b', '1', 'b', 'b', '1', and ending with '1'.

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Explain what role does capitalism and patriarchy play in American beauty? What images
projected in today's media are a result of gender inequality, what message do the images
send to young people? Explain in at least two paragraphs.

Answers

In the movie "American Beauty," capitalism and patriarchy are portrayed as forces that contribute to the main character's sense of dissatisfaction and ennui.

The protagonist, Lester, is a middle-aged man who is disenchanted with his job and his suburban life, which is built on the foundations of capitalism and patriarchal values. The images projected in today's media that are a result of gender inequality often perpetuate unrealistic beauty standards and promote gender roles that reinforce traditional gender norms. These images can send harmful messages to young people, such as the idea that physical appearance is more important than character or that women should prioritize their looks over their intellect or accomplishments.

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HELPPPPPP
Raul is riding on a train that is moving at a speed of 20.0 meters per second. Kirstin is sitting across from him, and there is a distance of 1.8 meters between them. If Raul and Kirstin do not leave their seats, which of the following graphs shows the distance from Raul to Kirstin over the first 6 seconds of the trip?

HELPPPPPPRaul is riding on a train that is moving at a speed of 20.0 meters per second. Kirstin is sitting

Answers

Answer the answer is A please tell me if this is correct

Explanation:

a positively charged particle passes through a laboratory traveling in an easterly direction. there are both electric and magnetic field in the room and their effects on the charged particle cancel. if the electric field points upward, what must be the direction of the magnetic field? 1. upward 2. north 3. south 4. west 5. downward 6. east

Answers

If there are both electric and magnetic fields in the room and their effects on the charged particle cancel, and the electric field points upward, then the direction of the magnetic field is downwards.

The electric force on a charged particle is provided by an electric field, whereas the magnetic force is provided by a magnetic field. The effect of the electric and magnetic fields on the motion of the particle is a function of the relative directions and magnitudes of the two fields.

If the magnetic field is perpendicular to the electric field and the particle's velocity, the magnetic force is at right angles to both the electric force and the velocity, and it does not adjust the particle's speed. If the electric and magnetic forces on a charged particle are equal and opposite, they cancel each other out, resulting in no acceleration of the charged particle. Since the electric field is pointing upward, the magnetic field should be pointing downward.

In conclusion, the direction of the magnetic field is downward if the electric field is pointing upward, according to the given condition.

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If you run at 8.50m/s for 8.00 minutes, how far will you go?
480 m
68.0 m
4080 m
56.5 m

Answers

Answer:

68

Explanation:

because 8.50 x 8 is 68

What is electric energy

Answers

Answer:

electrons

Explanation:

they go through the wires and power our computer tech

Answer:

Electric energy is a form of kinetic energy.

A battery with an emf of 120 V, an 80-22 resistor, and a 4-µF capacitor are connected in series such that the capacitor is being charged up. When the current in the resistor is 1 A, what is the magnitude of the charge on the capacitor? Assume that the battery has no internal resistance. 80 μC A. Β. 240 μC C. 480 μC D. 160 μC E. 320 μC

Answers

The expression for the charge on a capacitor can be expressed as Q = C × V, where Q is the charge, C is the capacitance, and V is the potential difference. A capacitor is charged to a potential difference V when a charge Q is stored on its plates.

Let’s solve this problem using the above equation.  We can calculate the charge on the capacitor in the given problem using the below equation Q = C × V Where Q = charge on the capacitor = ?C = capacitance = 4 µF = 4 × 10⁻⁶FV = potential difference across the capacitor = emf of battery = 120 VQ = C × V = 4 × 10⁻⁶ × 120= 0.00048 C or 480 µC Therefore, the magnitude of the charge on the capacitor is 480 μC.Option C is correct.

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A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 130 m above the glacier at a speed of 160 m/s. How far short of the target should it drop the package?

Answers

The plane flies at speed of 160m/s should drop the package when it reaches at a distance of 824m.

How does Newton's second law relate to gravity?

A dropped object travels quickly in the direction of the earth's center. Newton's second law states that the net force applied on an object determines its acceleration. If air resistance is small, the gravitational force, which is also known as an object's weight (w), acts as the net force on any falling object.

What other name does gravity's acceleration go by?

Free-fall acceleration seems to be another name for gravitational acceleration. Gravitational fields established by masses pull other masses approach them.

\(h = ut + 1/2 gt^2 ; u=0130 = 1/2 \times 9.8 \times t^2t= 5.15sec\)

The packet travel with the time period of 5.15sec

The distance = v x t

                      160m/s x 5.15s = 824m

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skid takes his dog, neutrino, out for a walk after midnight. he brings along his special dog flashlight so he can see in the forest behind his mansion. the flashlight has a 1.75 watt bulb inside of it and passes 150 c of charge during the 5 minute walk out to neutrinos favorite tree. (a) how much current is flowing through the light bulb? (b) what is the voltage of the battery to power this flashlight?

Answers

Skid takes his dog, neutrino, out for a walk after midnight. he brings along his special dog flashlight so he can see in the forest behind his mansion. the flashlight has a 1.75 watt bulb inside of it and passes 150 c of charge during the 5 minute walk out to neutrinos favorite tree.

(a) The amount of current flows through the bulb is (I)= 0.5 A

(b) The amount of voltage of the battery to power this flashlight (V)= 3.5 V.

What is voltage?

The voltage is a physical term that means that the current flow  in a wire create a quantity for the resistance of the wire. That is called the voltage. It can be measured in volt.

How can we calculate the current and voltage?

(a) To calculate the current we are using the formula,

I= q/t

Here we are given,

q= The amount of charge flowing through the wire. = 150 C.

t= The amount of time been the current flowing. = 5 min= 5*60 S.

We have to calculate the current flows in it. = I

Now we put the values in above equation, we get

I= q/t

Or, I=150/(5*60)

Or, I=0.5 A

So, now we can say that the amount of current flows through the bulb is (I)= 0.5 A.

(b) To calculate the voltage we are using the formula here is,

P= vI

Or, v= P/I

Here we are given,

P = The amount of power of the light. = 1.75 Watt.

Now we put the values in the equation we get,

v= P/I

Or, v= 1.75/0.5

Or, v=3.5 V.

Now we can say that, the amount of voltage of the battery to power this flashlight (V)= 3.5 V.

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Juanita studies several free-body diagrams in which a normal force is shown. What is always true about a normal force in a free-body diagram?

Answers

Answer: B

Explanation: it is perpendicular to a surface

Answer:

it is perpendicular to a surface

Explanation:

Water travels, in a 2km long pipeline at a maximum flow rate of 0.12 m/s. The internal diameter of the pipe is 300 mm, pipe wall thickness is 5 mm, and is manufactured from steel with a Young's modulus of 210x109 Pa. The pipeline is constructed within an excavated trench and surrounded by backfill material. A control valve on the downstream end of the pipeline uniformly closes in 12 seconds. (a) Calculate the pressure transients at the mid-point of the pipeline (b) How does friction in pipeline effect the calculated (in Q6 (a)) pressure transients

Answers

(A) The pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.
(B) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow

(a) The pressure transients at the mid-point of the pipeline can be calculated using the water hammer equation. Water hammer refers to the sudden changes in pressure and flow rate that occur when there are rapid variations in fluid flow. The equation is given by:

ΔP = (ρ × ΔV × c) / A

Where:

ΔP = Pressure change

ρ = Density of water

ΔV = Change in velocity

c = Wave speed

A = Cross-sectional area of the pipe

First, let's calculate the change in velocity:

ΔV = Q / A

Q = Flow rate = 0.12 m/s

A = π × ((d/2)^2 - ((d-2t)/2)^2)

d = Internal diameter of the pipe = 300 mm = 0.3 m

t = Pipe wall thickness = 5 mm = 0.005 m

Substituting the values:

A = π × ((0.3/2)^2 - ((0.3-2(0.005))/2)^2

A = π × (0.15^2 - 0.1495^2) = 0.0707 m^2

ΔV = 0.12 / 0.0707 = 1.696 m/s

Next, let's calculate the wave speed:

c = √(E / ρ)

E = Young's modulus of steel = 210x10^9 Pa

ρ = Density of water = 1000 kg/m^3

c = √(210x10^9 / 1000) = 4585.9 m/s

Finally, substituting the values into the water hammer equation:

ΔP = (1000 × 1.696 × 4585.9) / 0.0707 = 1,208,277 Pa

Therefore, the pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.

(b) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow. As water moves through the pipe, it encounters frictional forces between the water and the pipe wall. This friction causes a pressure drop along the length of the pipeline.

The presence of friction results in a higher effective wave speed, which affects the calculation of pressure transients. The actual wave speed in the presence of friction can be higher than the wave speed calculated using the Young's modulus of steel alone. This higher effective wave speed leads to a reduced pressure rise during the transient event.


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The roller coaster car travels down the helical path at constant speed such that the parametric equations that define its position are x

Answers

The magnitude of the roller coaster car's velocity is √[c²(k² + b²)], and the magnitude of its acceleration is √[c²k⁴], based on the given parametric equations for its position.

To determine the magnitudes of the roller coaster car's velocity and acceleration, we need to differentiate the given parametric equations with respect to time (t).

x = c sin(kt)

y = c cos(kt)

z = h - bt

Velocity:

The velocity vector is the derivative of the position vector with respect to time.

dx/dt = c(k cos(kt))   ... (1)

dy/dt = -c(k sin(kt))  ... (2)

dz/dt = -b             ... (3)

To find the magnitude of velocity, we need to calculate the magnitude of the velocity vector (v).

Magnitude of velocity (|v|):

|v| = √[(dx/dt)² + (dy/dt)² + (dz/dt)²]

Substituting equations (1), (2), and (3) into the magnitude of velocity equation:

|v| = √[(c(k cos(kt)))² + (-c(k sin(kt)))² + (-b)²]

    = √[c²(k² cos²(kt) + k² sin²(kt) + b²)]

    = √[c²(k²(cos²(kt) + sin²(kt)) + b²)]

    = √[c²(k² + b²)]

Therefore, the magnitude of the roller coaster car's velocity is √[c²(k² + b²)].

Acceleration:

The acceleration vector is the derivative of the velocity vector with respect to time.

d²x/dt² = -c(k² sin(kt))   ... (4)

d²y/dt² = -c(k² cos(kt))   ... (5)

d²z/dt² = 0                ... (6)

To find the magnitude of acceleration, we need to calculate the magnitude of the acceleration vector (a).

Magnitude of acceleration (|a|):

|a| = √[(d²x/dt²)² + (d²y/dt²)² + (d²z/dt²)²]

Substituting equations (4), (5), and (6) into the magnitude of acceleration equation:

|a| = √[(-c(k² sin(kt)))² + (-c(k² cos(kt)))² + 0²]

    = √[c²(k⁴ sin²(kt) + k⁴ cos²(kt))]

    = √[c²k⁴(sin²(kt) + cos²(kt))]

    = √[c²k⁴]

Therefore, the magnitude of the roller coaster car's acceleration is √[c²k⁴].

Please note that these calculations assume that the roller coaster car is traveling along the helical path as described by the given parametric equations.

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Complete Question:

The roller coaster car travels down the helical path at constant speed such that the parametric equations that define its position are x = c sin kt, y = c cos kt, z = h − bt, where c, h, and b are constants. Determine the magnitudes of its velocity and acceleration.

achievement and challenges of science and technology explain?​

Answers

Science and technology have had a significant influence on society, with both successes and difficulties.

The achievements can be noted as -

Medical Growth - Scientists and medical professionals have been able to create vaccinations, medicines, and surgical techniques thanks to advancements in technology that save millions of lives annually. This covers developments like cancer therapy, organ transplantation, and enhanced medical imaging. Communication Growth - People may now contact and communicate with one another more easily because to developments in communication technology. People may now communicate globally thanks to advancements in communication technologies, like the telephone and the internet.Commutation - Transport has also been enhanced by science and technology, becoming quicker and more effective. This includes technological advancements like electric autos, high-speed trains, and aeroplanes.

The challenges can be noted as -

Environmental Degradation - Environmental degradation, including pollution, deforestation, and climate change, has been brought on by the development and usage of technology.Expensive - It may be expensive to develop and adopt new technology, which might put people and communities at a financial disadvantage. This may restrict access to these breakthroughs and worsen already existing inequities.Dependency - Genetic engineering, artificial intelligence, and privacy are just a few of ethical issues that have been brought up by these advancements. It is crucial to consider possible effects of these breakthroughs and make sure they are applied for the benefit of everybody.

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A Physics student is thrown horizontally at a velocity of 12 m/s from the top of a cliff 68m high. How long does it take the student to reach the bottom of the cliff?

Answers

It takes approximately 3.3 seconds for the student to reach the bottom of the cliff.

We can solve this problem using the equations of motion, specifically the kinematic equation

h = vi*t + (1/2)*a*\(t^2\)

where:

h = height of the cliff (68m)

vi = initial velocity (12 m/s)

t = time taken to reach the ground (unknown)

a = acceleration due to gravity (-9.8 \(m/s^2\))

Since the student is thrown horizontally, there is no initial vertical velocity. Thus, vi = 0 m/s.

Substituting the given values into the equation, we get:

68m = 0m/s * t + (1/2)*(-9.8 \(m/s^2\))*\(t^2\)

Simplifying the equation:

68m = -4.9 \(m/s^2\) * \(t^2\)

Dividing both sides by -4.9 \(m/s^2\):

\(t^2\) = 13.87755

Taking the square root of both sides:

t = 3.7275 second

Therefore, it takes approximately 3.3 seconds for the student to reach the bottom of the cliff.

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Find the distance traveled of a car that has a constant speed of 30 m/s and travels for 60 s. Use: d = v t

Answers

Explanation:

d = v t

= 30 × 60

= 1800 m

Hence,

The distance covered by a car with a constant speed of 30 m/s in 60 s is 1800 m.

why is SI unit established


Answers

Explanation:

The SI was established in 1960 by the 11th General Conference on Weights and Measures (CGPM, Conférence Générale des Poids et Mesures). The CGPM is the international authority that ensures wide dissemination of the SI and modifies the SI as necessary to reflect the latest advances in science and technology.

A satellite 1000 km above Mars is orbiting Mars every 15 hours.
The radius of Mars is approximately equal to 3,300 km. How far does
the satellite travel in 1 hour?

Answers

The satellite travels approximately 1,798.07 km in 1 hour. The circumference of the satellite's orbit is 8,600π km, and the satellite orbits Mars every 15 hours.

To find out how far the satellite travels in 1 hour, we need to determine its orbital circumference.

The circumference of a circular orbit can be calculated using the formula:

C = 2πr

where C is the circumference and r is the radius of the orbit.

In this case, the satellite is orbiting Mars, which has a radius of approximately 3,300 km. The satellite is 1,000 km above the surface of Mars. Therefore, the radius of the satellite's orbit is the sum of the radius of Mars and the distance above the surface:

r = 3,300 km + 1,000 km = 4,300 km

Now we can calculate the circumference:

C = 2π(4,300 km) = 8,600π km

Since the satellite orbits Mars every 15 hours, the distance traveled in 1 hour is 1/15th of the circumference:

\(\begin{equation}\text{Distance traveled in 1 hour} = \frac{1}{15} \cdot 8600\pi \text{ km}\)

Calculating this value gives us:

Distance traveled in 1 hour ≈ 1,798.07 km

Therefore, the satellite travels approximately 1,798.07 km in 1 hour.

To know more about the circumference refer here :

https://brainly.com/question/17191505#

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What is "special" about the special theory of relativity? It deals with motion at constant velocity and accelerated motion but excludes all other effects; in particular, it excludes gravity.

Answers

Answer:

Explanation:

The reason it is called the special theory of relativity is because it's a special case of the general theory of relativity. SR deals with uniform motion, where there is no acceleration. Spacetime in special relativity is flat, with no gravity or curvature. It is a spacetime with no gravity. On the other hand, GR deals with accelerating reference frames and curved spacetime.

A ball is rolling down a track as shown. How fast must it be going at A in order to just make it to the top of B? The ball is at Peak A which is 5.0 m tall and wants to go to Peak B, which is 10.0m tall

Answers

Answer:

v = 98.1 m/s

Explanation:

We will apply the law of conservation of energy here, between peak A and peak B.

Total Energy of Ball at A = Total Energy of Ball at B

\(K.E_{A}+P.E_{A}=K.E_{B}+P.E_{B}\\where,\\K.E_{A} = Kinetic\ Energy\ of\ ball\ at\ Peak\ A = \frac{1}{2}mv^{2} \\K.E_{B} = Kinetic\ Energy\ of\ ball\ at\ Peak\ B = \frac{1}{2}m(0)^{2} = 0\ J (since, ball\ stops\ at\ last) \\\)

\(P.E_{A} = Potential\ Energy\ of\ ball\ at\ Peak\ A = mgh_{A}\\P.E_{B} = Potential\ Energy\ of\ ball\ at\ Peak\ B = mgh_{B}\)

\(\frac{1}{2}mv^{2} + mgh_{A} = 0\ J + mgh_{B}\\m(\frac{1}{2}v^{2} + gh_{A}) = mgh_{B}\\v = \sqrt{2g(h_{B}-h_{A})}\\where,\\h_{A} = height\ pf\ peak\ A = 5\ m\\h_{B} = height\ pf\ peak\ B = 10\ m\\v = \sqrt{2(9.81\ m/s^{2})(10\ m-5\ m)}\\\)

v = 98.1 m/s

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