determine orbital velocity and oribtal period of a statellite at a location of 15000 miles above the surface of the earth

Answers

Answer 1

Orbital velocity is 3615 m/s and oribtal period is  14.7 hr a statellite at a location of 15000 miles above the surface of the earth.

What makes orbital velocity crucial?

The speed necessary to enter an orbit around for a heavenly body, such as planet or star, is known as the orbital velocity. This necessitates moving at a constant pace that: Matches the rotating velocity of the heavenly body. is quick enough to overcome the gravitational attraction of the orbiting item toward the surface of the body.

Briefing:

Finding the separation from the earth's center is the first stage; in most equations, this is denoted by R.

The satellite is 2.41•107 m or 15000 mi in altitude.

In order to calculate the separation distance, this distance must be multiplied by the earth's radius.

The earth's radius is 6.38•10⁶ meters, while its separation from the sun is 3.05•10⁷ meters. The orbital velocity equation may be used to calculate the orbital velocity:

v = SQRT(G•Mcentral/R) = SQRT[ (6.67•10⁻¹¹ N•m²/kg²) • (5.98•10²⁴ kg) / (3.05•10⁷ m) ]

v = SQRT (1.31•10⁷ m²/s²)

= 3615 m/s

Both the v = 2•pi•R/T equation and the Kepler's second law equation [T2/R3 = 4•pi2/(GMearth)] may now be used to determine the orbital period. Algebra, starting with the first equation, results in:

T = (2•pi•R)/v

= [2 • pi • (3.05•107 m) / (3615 m/s) ]

= 5.30 • 104 s = 14.7 hr

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The complete question is -

Use the following information to help determine the orbital velocity and orbital period of a satellite at a location of 15000 miles above the surface of the earth.

Mass of Earth = 5.98 x 10²⁴ kg

Radius of Earth = 6.37 x 10⁶ m

1609 m = 1.00 mi


Related Questions

In a closed system, as kinetic energy increases, what happens to potential energy?

Answers

Because kinetic energy is proportional to the velocity squared, increases in velocity will have an exponentially greater effect on translational kinetic energy. Doubling the mass of an object will only double its kinetic energy, but doubling the velocity of the object will quadruple its velocity.

fill in the blanks

11) Stored energy is called ________ energy.

12) When you move your hand or foot, your body has converted potential energy into ________ energy.

13) When coasting while roller skating, you eventually stop due to ________.

14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.

Answers

11) potential energy

Una carga eléctrica de 120 Coulomb pasa uniformemente por la sección transversal de un hilo conductor durante un minuto. La intensidad de la corriente eléctrica que circula en ese conductor es

Answers

Answer:

   I = 2 A

Explanation:

Electric current is defined as the amount of face per unit of time

         I = Q / t

where Q is the charge and t is the time

let's reduce the time to the SI system

         t = 1 min (60s / 1 min) = 60 s

let's calculate

         I = 120/60

         I = 2 A

A leaky faucet drips once every 1.5 seconds into the center of a meter-wide circular sink full of water. Once the drop strikes, it starts a ripple that travels at 20 cm/s toward the sink's edge.
a) How many circular wave fronts will fit in the sink?
b) Each drop has a mass of 0.2g, and the faucet is 20cm above the water surface. If the energy of each drop is conserved in the wave it creates, how much energy does each drop deliver to the edge of the sink?
c) Power is a measure of how quickly energy is delivered. Its unit is a Watt, where W-J/s. How much power is the leaky faucet providing?
d) Find the power delivered per meter of the sink's circumference.
e) Now imagine the sink has a diameter of 5 meters. Find the new power, and the new power per meter circumference. How have these values changed?​

Answers

A) The number of circular wave fronts that will fit in the sink will depend on the size of the sink. If the sink is 1 meter wide, then the circumference of the sink is approximately 3.14 meters.

What is wave?

A wave is a disturbance that propagates through space or some material medium, such as air or water, with or without an accompanying transfer of energy. In physics, a wave is an oscillation accompanied by a transfer of energy that travels through a medium or space.

Each wave front travels at a speed of 20 cm/s, it will take approximately 3.14 seconds for a wave front to travel around the entire sink once. Therefore, the number of wave fronts that will fit in the sink will be 1.5/3.14, or 0.48 wave fronts.

b) To calculate the energy delivered to the edge of the sink, we must first calculate the kinetic energy of the drop. The kinetic energy of the drop is equal to \(0.5 \times mass \times velocity^2\), or  \(0.5 \times mass \times velocity^2\) = 2J Since the energy of each drop is conserved in the wave it creates, each drop will deliver 2 J of energy to the edge of the sink.

c) The power provided by the leaky faucet is equal to the total energy of the drop divided by the time it takes for the drop to reach the edge of the sink:\(2 J/1.5 s = 1.33 W.\)

d) The power delivered per meter of the sink's circumference is equal to the total power provided by the faucet divided by the circumference of the sink: \(1.33 W/3.14 m = 0.424 W/m.\)

e) The power of the leaky faucet with a 5 meter diameter sink is 6.7 W, and the power per meter circumference is 1.34 W/m. The power has increased by a factor of 5, and the power per meter circumference has increased by a factor of 3.2.

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1- an object is thrown down at 6m/s from the top of a 24m tall building. determine the time it takes the object to reach the ground. remember that it is important that it is grown down.

2- an object is thrown upwards at 20m/s from the ground. what are the 2 times that it reaches 8m?

Answers

(1) the time for the object to reach the ground is 1.68 s.

(2) The two times that the object reaches 8m is 3.63 s and 0.45 s

The given parameters;

initial velocity of the object, u = 6 m/sheight of the building, h = 24 m

(1) The time taken for the object to reach the ground is calculated as;

\(h = ut + \frac{1}{2} gt^2\\\\24 = 6t + 0.5\times 9.8t^2\\\\24= 6t + 4.9t^2\\\\4.9t^2 + 6t - 24 =0\\\\solve\ the \ quadratic \ equation \ using \ formula \ method;\\\\a = 4.9, \ b = 6, \ c = -24\\\\t = \frac{-b + /- \ \ \sqrt{b^2-4ac} }{2a} \\\\t = \frac{-6 + /- \ \ \sqrt{(6)^2-4(4.9\times -24)} }{2(4.9)} \\\\t = 1.68 \ s\)

Thus, the time for the object to reach the ground is 1.68 s.

(2)

The given parameters;

initial velocity of the object, u = 20 m/sheight of the building, h = 8 m

The two times that the object reaches 8m is calculated as;

\(h = ut - \frac{1}{2} gt^2\\\\8 = 20t - 0.5\times 9.8t^2\\\\8 = 20t - 4.9t^2\\\\4.9t^2 -20t+ 8 = 0\\\\\)

\(solve\ the \ quadratic \ equation \ using \ formula \ method;\\\\a = 4.9, \ b = -20, \ c = 8\\\\t = \frac{-b + /- \ \ \sqrt{b^2-4ac} }{2a} \\\\t = \frac{-(-20)\ + /- \ \ \sqrt{(-20)^2-4(4.9\times 8)} }{2(4.9)} \\\\t = 3.63 \ s \ \ or \ 0.45 \ s\)

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what is the minimum height h the car should be released so that it goes around the loop safely? assume friction is negligible.

Answers

The minimum height from which the car should be released so that it goes around the loop safely neglecting friction is 5r/2.

N and mg are the two forces acting downward at the top of the loop.

ΣFr = N + mg = mv²/r → N = mv²/r - mg.

Minimum speed is given by N=0 → v² = gr.

Multiply by ½ m to get: ½ mgr = ½ mv².

At the summit, the kinetic energy is at its lowest—1/2 mgr.

The potential energy zero level is represented by the loop's bottom.

Ui + Ki = Uf + Kf.

Ki = 0, Ui = mgh, while Kf = ½ mgr, Uf = mg(2r).

Energy conservation: mgh = ½ mgr + mg(2r)

Finally, h = 2r + r/2 = 5r/2.

A mass that is released from a lower point than h = 5r/2 will exit the loop. A mass that is discharged from above will have a normal force that is greater than zero at the top and will circle the loop.

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the acceleration of gravity is a constant equal to _______ meters per second squared

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The acceleration of gravity is a constant equal to 9.8 meters per second squared. Acceleration is the alteration in the velocity of an object. In other words, the speed of an object changes as it accelerates. According to Newton's second law of motion, the force applied to an object determines its acceleration.

The force applied to an object is directly proportional to its mass, while the acceleration is inversely proportional to it. F=ma is the equation that represents this relationship. A constant value, which is 9.8 m/s², is assigned to the acceleration due to gravity. The acceleration of an object in freefall is known as the acceleration due to gravity. The velocity of an object increases at a rate of 9.8 m/s each second it is in freefall.The gravitational force of the Earth pulls all things toward the ground. This force is referred to as gravity. It's what makes things feel heavy. As a result of this force, all objects in freefall fall toward the ground at a constant acceleration of 9.8 m/s². This means that for every second an object is in freefall, its speed increases by 9.8 meters per second. The acceleration of gravity is a constant equal to 9.8 meters per second squared. It is the rate at which an object falls towards the ground due to the force of gravity. The acceleration of gravity refers to the acceleration experienced by an object when it is allowed to fall freely due to the force of gravity. The acceleration due to gravity is approximately 9.8 meters per second squared near the surface of the Earth. This means that for every second an object falls, its speed increases by 9.8 meters per second. The acceleration of gravity is a constant, which means it is always the same and does not change. The acceleration due to gravity is used in many physics calculations. It is an essential concept in the study of mechanics and helps to explain the motion of objects in freefall. The acceleration due to gravity is also important for space exploration, as it determines the trajectory of objects launched from Earth.

The acceleration of gravity is a constant equal to 9.8 meters per second squared. It is the acceleration experienced by an object when it falls freely due to the force of gravity. This acceleration is a fundamental concept in physics and is used in many calculations involving the motion of objects. The acceleration due to gravity is also essential for space exploration and helps to determine the trajectory of objects launched from Earth.

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If an object is acted upon by a net force, the change in velocity will be?

Answers

Answer:

posetive

Explanation:

an object with a force exerted on it will move forwards

a student walks 3 blocks south and 4 blocks west. what is the displacement of the student?question 3 options:7blocks sw6 blocks sw5 blocks sw4 blocks sw

Answers

A student walks 3 blocks south and 4 blocks west. The displacement of the student is 5 blocks SW.

Given that, the student walks 3 blocks south (AB) and then walks 4 blocks west (BC).

When we draw this on a paper, we find that we have drawn two sides of triangle. The displacement of the student would be the third side i.e, the hypotenuse of the triangle.

Applying Pythagoras theorem, we have

AB² + BC² = CA²

where, AB and BC are the two sides of the triangle

CA is the hypotenuse side of the triangle

From the above formula, CA = √(AB² + BC²)

Substituting in the formula, we have,

CA = √(3² + 4²) = √25 = 5

The hypotenuse side of the triangle is formed on the South-West side of the triangle.

Thus, the displacement is 5 blocks SW.

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what is the value of the electric field .3 m from a square piece of metal which is 1.5 km x 2 km and has a net charge of 26 mc?

Answers

The electric field is 490 N/C.

Electric field can be considered as an electric property associated with each point in the space where a charge is present in any form. An electric field is also described as the electric force per unit charge.

The formula of the electric field of a charge sheet in terms of surface charge density σ and the formula of surface charge density are shown below:

          E = σ/2ε  and σ = q/A

Using these two, we get:

          E = q/2Aε

Where,

q = charge = 26mC = 26* 10^-3 C

A = Area of sheet = 1.5*2 = 3 km^2 = 3 * 10^3 m^2

ε = permeability = 8.85 * 10^-12

Putting these values in above equation we get: E = 490 N/C

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why are microwaves stronger than radio-waves?

Answers

Answer: Heyaa! ~

Microwaves have a little more energy than radio waves.

Explanation:

The prior difference between a radio wave and microwave is that the microwave has a shorter wavelength as compared to radio wave.

Hopefully this helps you!

- Matthew ^^

Microwaves have a higher frequency than radio waves so more information can be conveyed. Not only that, they have the ability to transmit signals over a long distance without losing any data.

The volume of a given mass of gas is 273cm²³ at 0 degree Celsius what is the volume at 237°c if its Pressure remains Constant​

Answers

To solve this problem, we need to use the combined gas law, which relates the pressure, volume, and temperature of a gas under constant pressure. The formula for the combined gas law is:

(P1 V1) / T1 = (P2 V2) / T2

where P1 and T1 are the pressure and temperature of the gas at the initial state, and P2 and T2 are the pressure and temperature of the gas at the final state. We are given that the pressure remains constant, so we can simplify the formula to:

V1 / T1 = V2 / T2

We can plug in the values given in the problem:

V1 = 273 cm³ (initial volume)
T1 = 0°C + 273.15 = 273.15 K (initial temperature)
T2 = 237°C + 273.15 = 510.15 K (final temperature)

Solving for V2, we get:

V2 = V1 x (T2 / T1)
V2 = 273 cm³ x (510.15 K / 273.15 K)
V2 = 510.63 cm³ (rounded to two decimal places)

Therefore, the volume of the gas at 237°C is 510.63 cm³, assuming that the pressure remains constant.

the local units are not internationally accepted for measurement why​

Answers

i hope you will accept my answer and please put a picture next for your next question

Two identical speakers are 3.50 m
and 5.20 m from a listener. What is
the lowest frequency (n = 0) that
would cause destructive
interference there?
(Unit = Hz)

Answers

Answer:

The difference in distance from the speakers is 5.2 - 3.5 = 1.7 m

The listener would be 1/2 wavelength out of phase with the speakers

1/2 y = 1.7 m    where y is the wavelength

y = 3.4 m       the required wavelength

f = v / y = 340 m/s / 3.4 m = 100 / sec     lowest frequency  

Answer:

100.8

Explanation:

Trust :)

Which of the following devices would you expect to consume the most energy for each hour that it operates?

Answers

What are the devices I don’t see any on there

Mix 3 liters of 20C water with 4 liters of 40C water and you'll have water at what temperature?

Answers

Mixing 3 liters of water at 20 \(^oC\) with 4 liters of water at 40 \(^oC\) will result in water with 31.43°C temperature.

Temperature of mixed water

The amount of energy in the final mixture will be equal to the sum of the energy in the initial 3 liters of water at 20°C and the energy in the initial 4 liters of water at 40°C.

Energy = mass x specific heat x temperature

Energy in the initial 3 liters of water at 20°C = 3 kg x 1 cal/g°C x 20°C = 60 calories

Energy in the initial 4 liters of water at 40°C = 4 kg x 1 cal/g°C x 40°C = 160 calories

The total energy in the final mixture:

= energy in 3 liters of 20°C water + energy in 4 liters of 40°C water

= 60 calories + 160 calories

= 220 calories

Total energy = mass of the mixture x specific heat x temperature of the mixture

Mass of the mixture is 3 liters + 4 liters = 7 kgspecific heat of water is 1 calorie/gram°C

Temperature of the mixture = Total energy / (mass of the mixture x specific heat)Temperature of the mixture = 220 calories / (7 kg x 1 cal/g°C)Temperature of the mixture = 31.43°C

Therefore, the final temperature of the mixture will be approximately 31.43°C.

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a skier’s most important piece of equipment

Answers

Answer: A skier’s most important piece of equipment is Ski boots.

Explanation: To find the answer, we need to know about the ski boots.

Why ski boots are the most important equipment for a skier?Skiing can be defined as the action of travelling over snow on skis.There are different equipment's we use during skiing, among them, the most important equipment's is ski boot.Ski boots are not meant for walking, but they provide the skis an extension for their legs.The other equipment's are ski goggles, ski helmets, ski jackets and so on.

Thus, we can conclude that, a skier's most important equipment is Ski boots.

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Ski boots are a skier's most essential piece of gear.

We must understand the ski boots in order to determine the solution.

Why are ski boots the most crucial piece of gear for a skier?Skiing is the activity of moving over snow on a pair of skis.While we utilize a variety of equipment when skiing, the ski boot is by far the most crucial piece of gear.Although ski boots are not designed for walking, they provide the skis an extra leg.The other equipment includes ski coats, ski helmets, and ski goggles.

So, it stands to reason that ski boots are a skier's most essential piece of gear.

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a 75-kg solid cylinder, 2.5 m long and with an end radius of 5.0 cm, stands on one end. how much pressure does it exert?

Answers

The pressure exerted by the cylinder is 93,630 Pa.

Given data:

Mass of cylinder (m) = 75 kg

Length of cylinder (l) = 2.5 m

Radius of cylinder (r) = 5.0 cm = 0.05 m

The pressure exerted by the cylinder can be calculated using the formula:

P = F/A where P is the pressure, F is the force and A is the area of the surface over which the force is applied.

Area of the circular end of the cylinder, A = πr²= π(0.05)²= 0.00785 m²

Weight of cylinder: W = mg where g is the acceleration due to gravity (9.8 m/s²)W = 75 × 9.8W = 735 N

Now, the force exerted on the ground by the cylinder is equal to the weight of the cylinder, so, F = 735 N

Thus, the pressure exerted by the cylinder is, P = F/A= 735/0.00785= 93,630 Pa

Therefore, the pressure exerted by the cylinder is 93,630 Pa.

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What indicates that two objects are in thermal equilibrium?

Responses

The objects' temperatures are changing.
The objects' temperatures are changing.

The objects are the same size.
The objects are the same size.

The objects have the same temp

Answers

Answer:

Option (c) is the correct answer.

Explanation: When two substances does not exchange any energy with each other then they are said to be in thermal equilibrium with each other. This means the temperature of both the substances will be equal, that is why, there is no exchange of energy between them. Thus, we can conclude that when the objects have the same temperature then you can tell the two objects are in thermal equilibrium.

Question 5 0/1 pts Based on the ratio scale of the San Pedro Channel chart and what you learned in lab, how many nautical miles does one inch on the map represent? A) 5 nm B) 80,000 nm C) 1.1 nm D) 6,666.7 nm

Answers

Based on the ratio scale of the San Pedro Channel chart, one inch on the map represents approximately 5 nautical miles (nm).

The ratio scale of the San Pedro Channel chart provides a relationship between the distance on the map and the corresponding distance in the real world. In this case, one inch on the map represents a certain number of nautical miles. To determine this value, we divide the total distance represented on the chart by the length of the corresponding section on the map.

Given the options provided, we can conclude that one inch on the San Pedro Channel chart represents approximately 5 nautical miles. This means that for every inch measured on the map, the actual distance in the San Pedro Channel is around 5 nautical miles. It is important to note that this representation is specific to the San Pedro Channel chart and may differ for other maps or charts with different scales.

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Please help! Will give brainliest!


A cyclist changes its speed going down hill from 22 m/s to 37 m/s in 2 seconds. Calculate the acceleration of the cyclist.

Answers

Answer:

7 1/2m/s/s

Explanation:

37-22=15

15/2=7 1/2

(iii) Suggest why the lamp is safe to use, even though its cable only has two wires.​

Answers

Answer:

it is safe because the make it so that the wires use a small amount of enerygy and electricity at the same time. this is safe because it will make it so that the eletrical current is not doverwelming the wires.

A pizza delivery must make three stops on her route. She will first leave the restaurant and travel 4km due north to the first house. The next house is 6km away at 45 south of west according to her map. The final stop is 5km away at 60 north of west. What is her displacement from the restaurant to the final stop

Answers

5.3 km

This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.

By simple calculations, we can derive the unit vectors j,\(\frac{-i-j}{2}\) and in the directions North,  South of West, and  North of West respectively.

So Total displacement vector = The Sum of individual displacement vectors.

Displacement vector = -4.25i + 3.165j

The magnitude of Displacement =| -4.25i + 3.165j |  = 5.3km

∴ Total displacement = 5.3km

A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions.  It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.

The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.

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the aircraft carrier uss george washington has mass 1.01.0 ×108kg×108kg. when its engines are developing their full power of 260,000 hphp, the george washington travels at its top speed of 35 knots ( 65 km/hkm/h).

Answers

In conclusion, the power output of the engines determines the speed at which the USS George Washington can travel. The greater the power, the faster the carrier can move.

The USS George Washington is an aircraft carrier with a mass of 1.01 × 10⁸ kg.

When its engines are operating at full power, generating 260,000 hp, the George Washington can reach a top speed of 35 knots, which is equivalent to 65 km/h.

To understand how the power of the engines relates to the speed of the aircraft carrier, we can use the concept of power.

Power is the rate at which work is done or energy is transferred. In this case, the engines are producing 260,000 hp of power.

The power output of the engines is used to propel the aircraft carrier forward.

As the engines generate more power, the carrier can move faster.

The top speed of 35 knots (65 km/h) is achieved when the engines are producing their maximum power.

In conclusion, the power output of the engines determines the speed at which the USS George Washington can travel. The greater the power, the faster the carrier can move.

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c) Propose a simple diode circuit with passive elements that provides under-damped current so that a thyristor can be turned off forcefully. The dc source voltage of the circuit is 220 V. Design the circuit for a damping factor of 45000ohm/henry. Take resonant angular frequency as 10 6rad/s and capacitance as 0.05μF. Find the equation of the decaying current with initial conditions of vc​(t=0)=0 and i(t=0)=0.

Answers

The equation for the decaying cutting-edge inside the circuit is: i(t) = 0

To lay out a diode circuit that gives the below-damped contemporary for forcefully turning off a thyristor, we will use an RLC circuit configuration. The circuit includes a resistor (R), an inductor (L), and a capacitor (C) connected in series with a diode.

Given parameters:

DC source voltage (Vdc) = 220 V

Damping aspect (ζ) = 45000 Ω/H

Resonant angular frequency (ω) = \(10^6\) rad/s

Capacitance (C) = 0.05 μF

To discover the equation of the decaying cutting-edge, we need to calculate the values of R and L using the damping thing and resonant angular frequency.

Calculate the resistance (R) using the damping aspect:

R = ζ / ω

R = 45000 Ω/H / \(10^6\) rad/s

R = 0.05 Ω

Calculate the inductance (L) with the use of the resonant angular frequency:

L = 1 / (Cω²)

L = 1 / (0.05 μF * (\(10^6\) rad/s)²)

L = 20 H

Now, with the values of R and L decided, we can write the equation for the decaying present-day (i(t)) within the circuit with the given preliminary situations:

i(t) = \(I0\) * \(e^(-Rt/2L)\) * cos(ωdt + φ)

where:

\(I0\) is the initial modern-day (\(I0\) = 0 A, given)

ωd = \(\sqrt{(1/LC - (R/2L)^{2})}\) is the damped angular frequency

φ is the section angle (φ = 0, for simplicity)

Since we're given the preliminary situations of vc(t=0) = 0 and i(t=0) = 0, we can assume that the initial voltage across the capacitor (vc(t)) is also 0.

Therefore, the equation for the decaying modern within the circuit is:

i(t) = 0

This method that the present day in the circuit could be 0 forever.

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3. When solving for the slope of your tangent line on your position vs. time graph, what variable did you find? Be
specific.

Answers

The slope of a position-versus-time graph represents the velocity.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.

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Why do you think there are differences on how far two vehicles should be from each other depending on what types of vehicle they are? How does this promote road safety?

Answers

Answer:

to reduce the pace of accident

AP Physics I, shouldn't be too hard.

AP Physics I, shouldn't be too hard.

Answers

Answer:

The correct option is;

D. The kinetic energy decreases by 3·m₀·v₀²

Explanation:

The given parameters are;

The mass of object X = m₀

The initial velocity of object X = v₀

The mass of object Y = 2·m₀

The initial velocity of object Y = -2·v₀

By conservation of linear momentum, we have;

The total initial momentum = The total final momentum

Therefore, we have;

The total initial momentum = m₀·v₀ - 2·m₀·2·v₀ = The total final momentum

∴ The total final momentum = -3·m₀·v₀

The total mass of the two object after sticking together = 2·m₀ + m₀ = 3·m₀

Therefore, the velocity of the two objects after collision = (The total final momentum)/(Total mass) = -3·m₀·v₀/(3·m₀) = -v₀

The kinetic energy = 1/2 × Mass × (Velocity)²

Therefore, the kinetic energy after collision = 1/2 × (3·m₀) × v₀² = 3·m₀·v₀²/2

The kinetic energy before collision = 1/2 × m₀ × v₀² + 1/2 × (2·m₀) × (2·v₀)² = (1/2 + 4) × (m₀·v₀²)

∴ The kinetic energy before collision =  9·(m₀·v₀²)/2

The change in kinetic energy = The kinetic energy after collision - The kinetic energy before collision = 3·m₀·v₀²/2 - 9·(m₀·v₀²)/2 = -3·m₀·v₀²

Therefore, the kinetic energy decreases by 3·m₀·v₀².

Energy cannot be created or destroyed only transferred is the law of conservation of​

Answers

The law of conservation of ENERGY


A boat weighs 4000 newtons. What is its mass?

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Unbalanced forces

When the forces acting on an object do not balance, the resultant force will cause the object to accelerate in the direction of the resultant force.

In other words, a resultant force on a body will cause it to change its velocity. This simply means that unbalanced forces will cause:

acceleration
deceleration
change in direction. The relationship between the resultant force, the mass of the object and the object’s acceleration is:


resultant force (N)
=
mass (kg)
×
acceleration (m/s
2
)


F
=
m
×
a

You will have to be able to state this equation in the examination.

Question
A car weighs 1,000 kg. The resultant force is 5,000 N. Use the Fma triangle to find the acceleration of the car.

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