A helicopter takes off from the ground and rises vertically. It then hovers at a constant height above the ground. Which sequence of energy changes takes place during the gain in height?

Answers

Answer 1

Answer:

First the fuel in the engine gives chemical energy during burning. That chemical energy then converts to kinetic energy if the rotor of blades of the helicopter. Then kinetic energy converts in gravitational potential energy as it gains height.


Related Questions

what is the kinetic energy of a 200kg boulder that has fallen 500m off a 1000m cliff ?

Answers

Answer:

Ek =  981000 [J]

Explanation:

To solve this problem we must use the principle of energy conservation, where kinetic energy is transformed into potential energy or vice versa. In this special case we take the reference level of potential energy in the soil (potential energy equivalent to zero). When the potential energy is zero, this energy has been transformed into kinetic energy and the velocity will be maximum.

\(E_{k} =\frac{1}{2}*m*v^{2}\)

\(E_{p}=m*g*h\)

where:

Ek = kinetic energy [J]

Ep = potential energy [J]

m = mass = 200 [kg]

h = elevation = 500 [m]

\(E_{p}= E_{k}\) (energy conservation)

Ep = 200*9.81*500

Ep = 981000 [J]

And the kinetic energy is equal to:

Ek = Ep =  981000 [J]

2) A ray of light is incident from air onto crown glass. Which of the scenarios accurately reflects the phenomenon that occurs? A) Incident ray Incident ray Normal Normal ir Crown glass Air Crown glass B) Incident ray Normal Normal Incident ray ir Crown glass ir Crown glass C) D)

Answers

The correct scenario is:  B) Incident ray -> Normal -> Refracted ray -> Crown glass

A scenario that accurately reflects the phenomenon of a ray of light incident from air onto crown glass.
In this scenario, the ray of light (Incident ray) travels from air and strikes the crown glass at an angle. At the boundary, it bends (refracts) towards the normal due to the change in medium and slower speed of light in crown glass compared to air. The refracted ray then continues to propagate inside the crown glass.

the incident ray comes from air, hits the surface of the crown glass at a normal angle, and then refracts through the glass.

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What is the source of almost all energy on Earth?
O Earth's hot core
O the Sun
O stored carbon
O moving water

Answers

Answer:

The Sun

Explanation:

A few main examples of the sun providing the Earth with energy; It is part of the process of photosynthesis. Sunlight can be used to produce solar energy. The sun keeps the Earth warm enough for living organisms to survive.

the answer is B - The sun

What is the new orbital speed after friction from the earth's upper atmosphere has done −7. 5×109J of work on the satellite?

Answers

The new orbital speed after friction from the earth's upper atmosphere is 8674.15 m/s.

When the work done by a force does not depend on the choice of path, the force is called the conservative force. Some examples are a gravitational force, elastic spring force and electric force. On the other hand, when the work done by a force relies on the choice of the path of the motion, it is called non-conservative force.

The net work done by non-conservative force is W = ΔK + ΔP ----(1)

Given that, work done W = -7.5 * 10⁹ J

Change in kinetic energy = (Kf - Ki)

Final kinetic energy Kf = 1/2* m * Vf²

Initial kinetic energy Ki = 1/2* m * Vi²

Mass of the satellite m = 848 kg

Vf = Final speed

Vi = Initial speed = 9640 m/s

Change in gravitational potential energy ΔP = 0

Substituting the values in (1),

1/2* m (Vf² - Vi²) = W

1/2 * 848( Vf² -9640²) = W

Making Vf as subject,

Vf = √( 2W/m + Vi²)

⇒ √( -2* 7.5 * 10⁹/848 + 9640²)

⇒ 8674.15 m/s

Thus, the final speed decreases due to friction.

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how to convert 40m/min to km/h? need step by step explanation​

Answers

How to convert m/sec into km/hr

1 m = 1/1000 km; 1 sec = 1/3600 hr

1 m/sec = 3600/1000 km/hr = 18/5 km/hr

To convert m/sec into km/hr, multiply the number by 18 and then divide it by 5.

Need detail explanation? Go to bottom

Solved Example 1:

Convert 20 m/sec into km/hr.

Solution:

20 m/sec

Step 1:

Multiply 20 by 18

We have 20 * 18 = 360

Step 2:

Divide 360 by 5

360/5 = 72

Final Answer:

20 m/sec = 72 km/hr

Try yourself: Practice Sheet 1

Solved Example 2:

Convert 36 m/sec into km/hr.

Solution:

36 m/sec

Step 1:

Multiply 36 by 18

We have 36 * 18 = 648

Step 2:

Divide 648 by 5

648/5 = 129.6

Final Answer:

36 m/sec = 129.6 km/hr

Try yourself: Practice Sheet 2

Better Understanding:

The problem can be solved using an unitary method.

A shopkeeper sells each pencil for 5 cents. How much do 4 pencils cost? 4 * 5 cents= 20 cents, isn't it? What is the cost of 7 pencils? Yes, your guess is right. It is 7 * 5 cents = 35 cents.

Let us work out the problem in example 1 as it explained here.

20 m/sec = 360/5 = 72 km/hr

a scuba diver has been deep underwater and suddenly rises to the surface too fast. why does the divers get decompression sickness?

Answers

The divers get decompression sickness as the pressure decreases too fast and nitrogen gas in the blood forms bubbles.

Decompression sickness which is also referred to as diver's disease, is a medical condition which is caused by dissolved gases emerging from solution as bubbles, inside the body issues, during decompression.

When a diver ascends too quickly, it can lead to forming bubbles in the blood, which in turn can damage tissues and eventually lead to nerve damage. If bubbles develop in the brain during certain instances of extreme impact, it can also result in paralysis or even death of the diver.

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"An airline is considering operating a new service. The aircraft has a maximum capacity of 200 passengers. Each flight has fixed costs of £25,000 plus an additional cost of £75 per passenger (to cover things like catering, booking, baggage handling)." "The company is considering charging £225 per ticket, how many passengers will the airline need on each flight to break even?""An airline is considering operating a new service. The aircraft has a maximum capacity of 200 passengers. Each flight has fixed costs of £25,000 plus an additional cost of £75 per passenger (to cover things like catering, booking, baggage handling)." "The company is considering charging £225 per ticket, how many passengers will the airline need on each flight to break even?"

Answers

The airline will need to have at least 167 passengers on each flight to break even.

To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.

The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.

Let's denote the number of passengers as 'P'. The total cost per flight is given by:

Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)

Total Cost = £25,000 + (£75 * P)

The revenue per flight is given by:

Revenue = Ticket Price * Number of Passengers

Revenue = £225 * P

To break even, the total cost should equal the revenue:

£25,000 + (£75 * P) = £225 * P

Now, we can solve this equation for P to find the number of passengers needed to break even:

£25,000 + (£75 * P) = £225 * P

£25,000 = £225 * P - £75 * P

£25,000 = £150 * P

P = £25,000 / £150

P ≈ 166.67

Since the number of passengers must be a whole number, we round up to the nearest whole number:

P = 167

The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.

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Zsm-5, a catalyst material, has a surface area of 425 m^2/g. what is the surface area of this material in cm^2/mg?

Answers

The surface area of the material in cm²/mg is 4250 cm²/mg

How to convert 425 m²/g to cm²/g

We'll begin by converting 425 m²/g to cm²/g. This can be obtained as follow:

1 m²/g = 10000 cm²/g

Therefore,

425 m²/g = (425 m²/g × 10000 cm²/g) / 1 m²/g

425 m²/g = 4250000 cm²/g

How to convert 4250000 cm²/g to cm²/mg

We can convert 4250000 cm²/g to cm²/mg as follow:

1000 cm²/g = 1 cm²/mg

Therefore,

4250000 cm²/g = (4250000 cm²/g × 1 cm²/mg) / 1000 cm²/g

4250000 cm²/g = 4250 cm²/mg

Thus, we can conclude that the surface area in cm²/mg is 4250 cm²/mg

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Help pls.!! and explain please

Help pls.!! and explain please

Answers

Answer:

so if it's 20 you should put 20 times 10 15 * 30 and 1.3 * 5 mg and if you put that milligrams in there it'll solve the destination I saw the white way you going so yeah just be careful at least you want to make the milligrams even a multimacy with the y i and replace it with the 14a

True or false, anything can turn into a black hole.

Answers

Answer:

False. Not everything can turn into a black hole. The formation of a black hole requires a massive object, typically a star, to collapse under its own gravity. This collapse causes the object to become so dense that it creates a singularity, a point of infinite density at the center of the black hole, which is surrounded by an event horizon, the point of no return beyond which nothing, not even light, can escape. So, only objects with sufficient mass and gravity can become black holes.

Explanation:

you look up and see a helicopter pass directly overhead. 3.10s later you hear the sound of the engine. if the air temperature is 23.0 degrees c, how high was the helicopter flying?

Answers

Answer:

Time,

t

=

3.1

s

Temperature,

T

=

23.0

Speed of the sound at

23.0

can be given as,

{eq...

If a toy train has a mass of 1.5 KG and accelerates at a rate of 20 M/S 2 calculate force acting on it?

Answers

Answer:

F = 30 N

Explanation:

Given that,

Mass of a toy train, m = 1.5 kg

The acceleration of the toy-train, a = 20 m/s²

We need to find the force acting on it. We know that, net force acting on an object is given by :

F = ma

Substitute all the values,

F = 1.5 × 20

F = 30 N

Hence, the net force acting on the toy train is equal to 30 N.

a very long cylinder of radius a and made of material with permeability m is placed into an initially uniform magnetic field

Answers

A long cylinder with radius "a" and permeability "m" in a uniform magnetic field experiences magnetic flux through its surface.


When a long cylinder of radius "a" and made of material with permeability "m" is placed in an initially uniform magnetic field, the magnetic field lines will be attracted towards the material.

This causes the magnetic field lines to be more concentrated inside the cylinder and less concentrated outside of it.

The magnetic flux, which is a measure of the total magnetic field passing through the surface, will change due to the presence of the cylinder.

To calculate the magnetic flux, you can use Ampere's law and integrate the magnetic field over the surface area of the cylinder.

The permeability "m" of the material plays a crucial role in determining the degree of magnetic field concentration inside the cylinder.

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When a cylinder made of material with permeability m is placed into an initially uniform magnetic field, the magnetic field distribution around the cylinder will be affected.

The magnetic field lines will be distorted due to the presence of the cylinder. The cylinder will act as a magnet with a magnetic moment, and it will experience a torque when placed in an external magnetic field. The permeability of the material determines how much the magnetic field will be affected by the cylinder. If the permeability of the material is high, the magnetic field lines will be more strongly attracted to the cylinder and the magnetic field will be more distorted. Conversely, if the permeability is low, the magnetic field will be less affected by the cylinder. The radius of the cylinder also plays a role in determining the magnetic field distribution. The larger the radius, the more the magnetic field will be affected by the cylinder. A very long cylinder of radius a will have a significant impact on the magnetic field distribution. In summary, the magnetic field distribution around a very long cylinder of radius a and made of material with permeability m will be affected by the permeability of the material and the radius of the cylinder. The magnetic field lines will be distorted, and the cylinder will experience a torque when placed in an external magnetic field.

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"Energy is never created of destroyed, it only transforms from one form to another" is the definition of… A. The Law of Diminishing Returns B. The Law of Conservation of Energy C. The Law of Universal Gravitation D. The Law of Entropy

Answers

Answer:

B. The Law of Conservation of Energy

Explanation:

In Science, energy can be defined as the ability of an object or body to do work. There are two (2) main types of energy and these are;

I. Kinetic energy: it can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

Where, K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

II. Potential energy: it can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

Where, P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Additionally, the various forms of energy are solar energy, electrical energy, chemical energy, thermal energy, wind energy, nuclear energy etc.

Hence, energy is never created of destroyed, it only transforms from one form to another" is the definition of The Law of Conservation of Energy.

The intensity of light at a given point is given by the relation I=C/D^2, where C is the light power of the source and D is the distance from the source to the given point. Assume that C is uniformly distributed in (1,2), while D is a continuous random variable, with density function.
student submitted image, transcription available below
Find the density function of I, if C and D are independent.

Answers

This is the density function of I when C and D are independent. It describes the distribution of intensities at a given point, given the distribution of light power from the source and the distance from the source to the point.

To find the density function of I, we need to determine the probability density function (PDF) of the random variable I.

Given that C and D are independent, we can use the concept of change of variables to find the density function of I.

First, we know that I = C/D^2. We can rearrange this equation to express D in terms of I: D = (C/I)^(1/2).

Now, we can find the derivative of D with respect to I to obtain the Jacobian of the transformation: dD/dI = -(1/2)*(C/I)^(3/2).

Since C is uniformly distributed in the interval (1,2), its density function fC(c) is constant within that range and zero outside. Thus, fC(c) = 1 for 1 ≤ c ≤ 2, and fC(c) = 0 otherwise.

Using the formula for change of variables, the density function of I, fI(i), can be obtained as follows:

fI(i) = fC(C/I)(dD/dI)

= 1 * (-(1/2)(C/I)^(3/2))

= -(1/2)*(C/I)^(3/2)

where C is restricted to the range (1,2) and D is calculated as D = (C/I)^(1/2).

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Ginger was caring for her litter of puppies when the four curious pups spotted cat for the first time. Each of the four pups leaned their full of force in the board balanced between the puppies and the cat. How much force must Ginger apply to the other side to keep the puppies from knocking down the board? A. 8 N
B. 16 N
C. 32 N

Answers

On prevent the puppies from tearing down the board, Ginger must apply 32 N of force to the opposite side.

What is the value of total force?

The total force acting on the system is equal to the acceleration of the center of mass times the system's total mass. When applied to an extended object, Newton's second law, F = ma, predicts the motion of a specific reference point for this object.

How much force is acting on an object overall?

The vector sum of all forces acting on an object is known as the net force. In other words, the net force is the sum of all the forces, taking into mind that a force is a vector and that two forces that have the same magnitude but facing the opposite direction will cancel each other out.

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Your new motorcycle weighs 2450 N.
What is
its mass in kilograms?


i understand the answer is 250kg because mass times gravity thing but why isn’t the answer negative cause gravity pulls down so wouldn’t be Negative answer not a positive answer

i was taught FW is always negative why isn’t it negative here

Answers

Answer:

Explanation:

The negative only matters reallly if you are dealing with a 2d system. I could even define down as positive and up as negative. However, usually you are taught that down is negative. It really doesn't matter because a force is a force. It is only given a direction relative to another force or vector direction.

Is it ok for some help pwease?

What is the area of calm winds near the equator called?


doldrums


polar easterlies


trade winds


horse latitudes

Answers

Answer:

doldrums

Explanation:

Just need to type something more to be able to post

How to calculate work in chemistry.

Answers

Answer:

look on the bottom

Explanation:

Is it only the math or the physics/physical concepts that you don't get?

In this problem, you have a constant pressure of 1.00 atm.  This being the case, it is an isobaric system (constant pressure), and so you have the equation that work (W) = -pressure(P) x change in volume (∆V)

This is written as W = -P∆V and is known as pressure-volume work.

Now, understand the conventions that are used.

-If work is done ON the system, it has a positive sign (+)

-If work is done BY the system, it has a negative sign (-)

In this problem, the gas is being compressed, i.e. the volume decreases, and so work is being done ON the system. Thus, the sign of W is positive (+).  This comes out automatically because of negative sign in front of P∆V,                                                                                                                                                                                           So,                                                                                                                                       we have W = -P∆V and substituting values, we have

W = -(1.00 atm)(1.5L - 1.25L) = -(1.00 atm)(0.25L) = -0.25 L-atm

Converting this to joules, we get -0.25 L-atm x 101.3 J/L-atm = -25.3 J (note the negative sign)                                                                                                    Hope this all helps a little.

Light is incident upon a piece of crown glass from air at a 45° angle. What is the angle of refraction?

Answers

Answer:

The angle of refraction is the angle made by a refracted ray with perpendicular to the refracting surface.

n = sin(i)/sin(r)

= sin(45 deg)/sin(30 deg)

= sqrt(2)

= 1.41

Two cars are involved in a crash (no one was hurt in the accident). If

the total momentum is 4120 kg. M/s after the collision, what is the

total momentum before the collision?


A. 0 kg • m/s

B. 8240 kg • m/s

C. 2060 kg • m/s

D. 4120 kg • m/s

Answers

Im fairly certain that the answer would be D, and this is because of the law of conservation of energy/momentum.

PLEASE HELP ILL GUVE BRAINLIEST

energy is converted from kinetic energy to potential energy when you..


a. ski down a hill
b. climb a mountain
c. run around a level track
d. two of the above

Answers

Answer:

b. climb a mountain

A car wheel turns through 277° in 10.7 s. Calculate the angular speed of the wheel.

Answers

Answer:

The angular speed of the wheel is 0.452 rad/s

Explanation:

The angle through which the car wheel turns, Δθ = 277° = 277/360 × 2·π radian

The time it takes for the car wheel to turn, Δt = 10.7 s

The angular speed, ω is given by the following equation;

\(Angular \ speed = \dfrac{Change \ in \ angular \ rotation }{Change \ in \ time} = \dfrac{\Delta \theta}{\Delta t}\)

Substituting the known values for Δθ and Δt gives;

\(Angular \ speed = \dfrac{\dfrac{277 ^{\circ}}{360 ^{\circ } } \times 2 \times \pi \ radian}{10.7 \ seconds} \approx 0.452 \ rad/s\)

The angular speed of the wheel = 0.452 rad/s

Which of the following is NOT an example of good static flexibility?
A.
doing and holding a split
B.
running a mile in six minutes
C.
holding a ballet position for six minutes
D.
crossing your ankles behind your head

Answers

Answer:

running a mile in six minutes

Explanation:

Answer:

Not example is B: Running a mile in six minutes

If a competitive inhibitor is present in an enzymatically catalyzed reaction, then:
A. Km↑ & Vmax↓
B. Km↓ & Vmax↑
C. Km↑ & Vmax is same
D.Km is same & Vmax ↓

Answers

If a reverse transcriptase is present, Km and Vmax in a catalytically concept goes will be equal.

What constitutes a good inhibitor?

Here are four examples of medications that block enzymes: irreversible inhibitors like Acyclovir, which target the viral DNA-copying enzymes, are used to treat herpes. competitive inhibitors, such methotrexate, which treats bacterial infections as well as cancer. depression with non-competitive inhibitors like Trazadone.

An agent that challenges the substrate for the enzyme's active site is known as a competitive inhibitor. This response is often reversible.

The source concentration at which reaction is accelerating at half its maximal pace is known as the Michaelis Menten constant. It shows the enzyme's affinity for its substrate. Low Km denotes a strong affinity, while high Km denotes a low affinity.

A negative feedback system will increase Km by lowering the substrate's propensity to adhere towards the enzyme. At high substrate concentrations, the substrate outperforms the inhibitor, maintaining the reaction's Vmax.

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Two coils are placed close together in a physics lab to demonstrate Faraday’s law of induction. A current of in one is switched off in , inducing an emf in the other. What is their mutual inductance?

Answers

The mutual inductance between two coils is the measure of their ability to induce an electromotive force (emf) in each other.

Faraday's law of induction states that a changing magnetic field induces an emf in a nearby coil. In this scenario, when the current in one coil is switched off, it results in a changing magnetic field. This changing magnetic field induces an emf in the other coil due to their close proximity. The magnitude of this induced emf is directly proportional to the rate of change of magnetic flux linking the second coil.

The value of mutual inductance quantifies the strength of the coupling between the two coils. It depends on factors such as the number of turns in each coil, their relative orientation, and the distance between them. By measuring the induced emf in the second coil and knowing the rate of change of current in the first coil, the mutual inductance can be determined using Faraday's law. Mutual inductance is an important concept in understanding electromagnetic phenomena and is widely used in various applications, including transformers, motors, and generators.

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you throw a ball up with an initial velocity of 5.5 m/s from a height of 24 meters above the ground. show answer incorrect answer 33% part (a) how long in seconds does it take for the ball to reach the ground? t

Answers

The time it takes for the ball to reach the ground can be calculated using the equations of motion. The correct answer is approximately 2.8 seconds.

Given values:

Initial velocity (u) = 5.5 m/s (upward)

Height (h) = 24 meters

Acceleration due to gravity (g) = 9.8 m/s² (downward)

To find the time it takes for the ball to reach the ground, we can use the equation for vertical displacement:

h = ut + (1/2)gt²

Rearranging the equation, we get:

t² + (2u/g)t - 2h/g = 0

Substituting the given values into the equation:

t² + (2 * 5.5 / 9.8)t - 2 * 24 / 9.8 = 0

Solving this quadratic equation using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = (2u/g), and c = -2h/g

Substituting the values, we get:

t = (-(2 * 5.5 / 9.8) ± √((2 * 5.5 / 9.8)² - 4(1)(-2 * 24 / 9.8))) / 2(1)

Simplifying the equation and calculating:

t = (-1.122 ± √(1.122² + 19.59)) / 2

t = (-1.122 ± √(1.258 + 19.59)) / 2

t = (-1.122 ± √(20.848)) / 2

Taking the positive value:

t = (-1.122 + 4.565) / 2

t = 3.443 / 2

t ≈ 1.7215 seconds

Therefore, the time it takes for the ball to reach the ground is approximately 1.7215 seconds, not 2.8 seconds.

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What is nuclear power

What is nuclear power

Answers

Answer:

D. All of the statements describe nuclear power

What is NUCLEAR POWER?

➡️ is the use of nuclear reactions to produce electricity.

➡️ it can be obtained from nuclear fission, nuclear decay and nuclear fusion reactions.

Hope it helps

PLEASE HELP I WILL MARK YOU
Scenario: On October 15, 1997, a car called
Thrust SSC set a new land-speed record. It
traveled 763 mph in 1 mile and became the first
car to officially break the sound barrier. The
Thrust SSC propels itself forward with two jet
engines made by Rolls-Royce, the same
engines found in the British version of the F-4
Phantom I fighter jet. The propulsion system
on the Thrust SSC is unique in that it does not
rely on the friction between the tires and the
ground for its forward motion. Instead, the jet
engines provide the force.

Question : Is it possible to make the Thrust SSC achieve an even higher maximum speed?

Directions: Use the information above and your
knowledge of Newton's second law of motion
to write a scientific explanation with at least
two modifications that you could make to the
car that would increase its acceleration. Be
sure to state a claim, provide mathematical
evidence (i.e. an equation or scientific
principle), and state your reasoning.

Thrust SC Specifications
Mass
10,700 kg
Maximum Speed
763 mph
Acceleration
20.8 m/s2
Fuel Burn Rate
4.8 gallons/s
Thrust Force
223,000 N

Answers

We want to see if the Trust SSC can archive a higher maximum speed.

Remember the second Newton's law:

Force = mass*acceleration.

And acceleration is the rate of change of the velocity.

Assuming the mass of the Trust SSC does not change, increasing the force would mean that we increase the acceleration, and thus, larger velocities can be reached.

Now there are some problems.

How we do increase the force?.

It is hard to ve precise, mostly because we don't really know how the system works, we just got some given random data that we can't use without context.

Another thing we need to remember, this velocity is measured in only one mile. So because we have a fixed distance to measure it, we only can get larger velocities by increasing the acceleration.

And to increase the acceleration we can increase the force, as discussed, or, decrease the mass.

How to decrease the mass? Using lighter materials.

Now let's see an example on how decreasing the mass would affect the acceleration.

Mass = 10,700kgAcceleration = 20.8 m/s^2

Then an aproximate force is given by:

F = 10,700kg*20.8 m/s^2 = 222,560 N

Now, if we decrease the mass a little bit, for example to 10,000kg, and we do not change the force, the new acceleration will be given by:

10,000kg*a = 222,560 N

a = (222,560 N)/(10,000kg) = 22.3 m/s^2

So decreasing the mass a little, increases the acceleration, which would make a larger maximum velocity.

Concluding, there are two ways of increasing the maximum velocity:

Increasing the force.

Decreasing the mass of the car.

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find the angle between two forces of magnitude 27N and 30N if the magnitude of the resultant of the two force is 8N​

Answers

Answer:

The angle between two forces is 165 degrees.

Explanation:

We have,

Force 1, \(F_1=27\ N\)

Force 2, \(F_2=30\ N\)

Resultant of two forces, F = 8 N

It is required to find the angle between two forces. The resultant of two force is given by the formula as follows :

\(F=\sqrt{F_1^2+F_2^2+2F_1F_2\cos\theta}\)

\(\theta\) is the angle between F₁ and F₂

So,

\(F^2=F_1^2+F_2^2+2F_1F_2\cos\theta\\\\\cos\theta=\dfrac{F^2-F_1^2-F_2^2}{2F_1F_2}\\\\\cos\theta=\dfrac{(8)^2-(27)^2-(30)^2}{2\times 27\times 30}\\\\\cos\theta=-0.966\\\\\theta=\cos^{-1}\left(-0.966\right)=165^{\circ}\)

So, the angle between two forces is 165 degrees.

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