a car traveling at 20 m/s follows a curve in the road so that its centripetal acceleration is 5 m/s2. what is the radius of the curve?

Answers

Answer 1

A car traveling at 20 m/s follows a curve in the road so that its centripetal acceleration is 5 m/s. 160 m is the radius of the curve.

To find the radius of the curve, we can use the formula for centripetal acceleration:

a = v^2 / r

where a is the centripetal acceleration, v is the velocity, and r is the radius of the curve. In this case, we know that the velocity of the car is 20 m/s and the centripetal acceleration is 5 m/s2. We can solve for the radius of the curve by rearranging the formula and substituting the known values:

r = v^2 / a

= (20 m/s)^2 / 5 m/s2

= 800 m / 5 m/s2

= 160 m

Therefore, the radius of the curve is 160 m.

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. When a vehicle turns, its velocity vector is altered by an acceleration in the new direction. The acceleration of the car in its present direction of motion is referred to as a linear acceleration (or tangential acceleration in circular motions).

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Related Questions

difference between relativistic and nonrelativistic quantum mechanics

Answers

Relativistic quantum mechanics and nonrelativistic quantum mechanics are two different approaches to describing the behavior of particles at the quantum level. The main difference between the two is the consideration of special relativity in relativistic quantum mechanics, whereas nonrelativistic quantum mechanics only accounts for classical mechanics.

Nonrelativistic quantum mechanics applies to particles moving at relatively low speeds and is based on the Schrödinger equation, which describes the wave function of a particle. This approach does not consider the effects of time dilation or length contraction that arise in special relativity.

Relativistic quantum mechanics, on the other hand, takes into account the effects of special relativity, which is important when considering high-speed particles. This approach uses the Dirac equation, which describes the behavior of particles with spin. It also considers the fact that particles can be created and destroyed, which is not accounted for in nonrelativistic quantum mechanics.

Relativistic quantum mechanics is a more complete theory that takes into account the effects of special relativity, while nonrelativistic quantum mechanics is a simpler theory that is useful for describing the behavior of particles at low speeds.
The main difference between relativistic and nonrelativistic quantum mechanics lies in the incorporation of Einstein's special theory of relativity. Nonrelativistic quantum mechanics, often represented by Schrödinger's equation, works well for describing particles at low velocities compared to the speed of light. However, it does not account for relativistic effects that become significant at high velocities.

Relativistic quantum mechanics, on the other hand, takes into account the effects of special relativity. This is typically represented by the Klein-Gordon equation for scalar particles and the Dirac equation for particles with spin-½, like electrons. These equations accurately describe particle behavior at high velocities and incorporate the speed of light as a fundamental limit in the equations.

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A boat sailed 560 km in 8 hrs. It took three hours to travel the first 150 km. What was it’s average speed for the remaining journey?

Answers

Answer:

82 km/h

Explanation:

Given that A boat sailed 560 km in 8 hrs. It took three hours to travel the first 150 km. That is,

The remaining distance will be:

560 - 150 = 410 km

the remaining time will be:

8 - 3 = 5 hours

For the remaining Journey, average speed will be:

Speed = distance/time

Speed = 410/5

Speed = 82 km/h

Therefore, the average speed for the remaining journey will be 82 km/h

Which image shows the correct way of lining up vectors to add them together? A. two arrows lined up facing away from each another B. two arrows lined up one after the another C. two arrows lined up facing each another D. two arrows facing opposite to each other

Answers

The image shows the correct way of lining up vectors to add them together, that the two arrows lined up one after the other, therefore the correct answer is option B.

What is a vector quantity?

The quantities that contain the magnitude of the quantities along with the direction are known as the vector quantities.

Examples of vector quantities are displacement, velocity acceleration, force, etc.

Thus, the image shows the correct way of lining up vectors to add them together, that the two arrows lined up one after the other, therefore the correct answer is option B.

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Can someone please help

Can someone please help

Answers

Answer:

55 km

pls give brainliest hope it help

Explanation:

El Sol radia energía electromagnética a un tasa de P = 3. 85×1026 W. A) ¿A qué distancia del Sol la intensidad disminuye hasta 1000 W/m2

Answers

Sabiendo la tasa de energía electromagnética que el sol radi, la distancia a la cual la intensidad disminuye a 1000 W/m² es de 6.96×10¹⁰ m metros o 69.6 millones de kilómetros.

La intensidad de la energía electromagnética emitida por el Sol disminuye a medida que se aleja del Sol. Esta disminución está dada por la ley del cuadrado inverso, que establece que la intensidad es inversamente proporcional al cuadrado de la distancia desde la fuente.

La intensidad de la energía electromagnética se puede calcular mediante la siguiente fórmula:
I = P / 4πr²

Donde I es la intensidad, P es la potencia del Sol, y r es la distancia desde el Sol.

Si queremos encontrar la distancia a la cual la intensidad disminuye a 1000 W/m², podemos despejar r de la fórmula y sustituir los valores conocidos:
1000 = 3.85×10²⁶ / 4πr²
r² = 3.85×10²⁶ / (1000 × 4π)
r = √(3.85×10²⁶ / (1000 × 4π))
r = 6.96×10¹⁰ m

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A force of 3kN acts on a car to make it accelerate by 1.5m/s/s. What is the mass of the car?

Answers

Answer:

2

Explanation:

To find force it's force = mass times acceleration so to find mass you would divide force by acceleration

anyone know the answer ?

anyone know the answer ?

Answers

Answer:

a,c,d I thought these are the true statements about these graph

A 57.0 kg person in a
rollercoaster moving through
the bottom of a curved track of radius
42.7 m feels a normal force of 995 N.
How fast is the car moving?

Answers

Answer:

The linear speed of the car is approximately 27.30 m/s

Explanation:

The question parameters are;

The mass of the person on the rollercoaster, m = 57.0 kg

The radius of the rollercoaster track, r = 42.7 m

The normal force felt by the person, F = 995 N

The centripetal force acting on the person keep the circular motion is given by the following equation;

\(Centripetal \, force \ F_c = \dfrac{m \times v^2}{r}\)

Where;

v = The linear velocity of motion = The linear speed of the car

The centrifugal force, F, is the force normal force felt by the person and is equal to the centripetal force, therefore, we have;

\(Centripetal \, force \ F_c = Centrifugal \, force \ F = \dfrac{m \times v^2}{r}\)

From which we have;

\(F = 995 = \dfrac{57 \times v^2}{42.7}\)

\(\therefore v = \sqrt{\dfrac{995 \times 42.7}{57} } \approx 745.38\)

The linear speed of the car = v ≈ 27.30 m/s

The angular speed of the car, ω = v/r ≈ 27.30/42.7 ≈ 0.639 rad/s

Answer: 18.1 m/s

Explanation:

Which of the following could occur the net force acting on a truck is zero

Answers

Answer:

No net force means the truck reamains at rest or the motion of the truck does not change.

Explanation:

What will most likely happen if a light wave moves from the air into a solid? A) It will increase in wavelength. B) It will decrease in speed. C) It will increase in speed. D) It will decrease in frequency.

Answers

Answer:

it will decrease speed

Explanation:

Answer:

it's b

Explanation:

The distance and displacement of a object in motion can be the same (true or false)

Answers

Aswer:

False, the values ​​of the distance traveled and the displacement only coincide when the trayectorie is a straight line. Otherwise, the distance will always be greater than the offset.

Although these terms are used synonymously in other cases, they are totally different. Since the distance that a mobile travels is the equivalent of the length of its trajectory. Whereas, the displacement will be a vector magnitude.

xXCherryCakeXx.

which has more inertia, a textbook or calculator ​

Answers

The textbook because it had a greater mass
The Textbook ! Hope it helped

An infrared beam of light as a wavelength of 7.7 mm What is this energy

Answers

Answer:

E=2.58155844×10^-29

Explanation:

we use this formula

E= hc/ lambda

E= [(6.626×10^-34)( 3×10^8)]/(7.7×10^-3)

E=2.58155844×10^-29

which wave has a higher frequency and why?

which wave has a higher frequency and why?

Answers

Explanation:

the figure in the left side has higher frequency.

because it has more nos. of wave in 1sec.

which wave has a higher frequency and why?

The Shockley-Queisser efficiency limit for a single junction silicon solar cell is 33.7%. List 3 factors that account for the some of the missing 66.3% of the power that the solar cell does not convert to usable electricity.

Answers

3 factors that account for the some of the missing 66.3% of the power that the solar cell does not convert to usable electricity are 1. Thermalization losses , 2.Transmission losses , 3.  Recombination losses

The Shockley-Queisser efficiency limit is an important concept in photovoltaics that describes the maximum theoretical efficiency of a solar cell based on its bandgap. This limit applies to single-junction silicon solar cells, which are currently the most widely used type of solar cell in the industry. The Shockley-Queisser efficiency limit is 33.7%. This means that even under ideal conditions, a single-junction silicon solar cell can convert no more than 33.7% of the energy in sunlight into usable electricity. The remaining 66.3% of the energy is lost in various ways, and these losses account for the difference between the actual efficiency of a solar cell and the theoretical maximum efficiency.

Here are three factors that account for some of the missing 66.3% of the power that the solar cell does not convert to usable electricity:

1. Thermalization losses: Some of the energy in sunlight is absorbed by the solar cell but is not converted into usable electricity. Instead, this energy is converted into heat, which raises the temperature of the solar cell. When the temperature of the solar cell rises, some of the energy that was originally in the sunlight is lost to the surroundings. This is known as thermalization loss.

2. Transmission losses: Some of the energy in sunlight is lost as it passes through the various layers of the solar cell. This is because each layer absorbs some of the energy in sunlight, which reduces the amount of energy that is available to be converted into usable electricity.

3. Recombination losses: When an electron is excited by sunlight and jumps from the valence band to the conduction band in the silicon crystal lattice, it leaves behind a positively charged hole. If the electron and hole recombine before they can be collected by the electrodes of the solar cell, the energy that was in the electron-hole pair is lost as heat. This is known as recombination loss.

These are three factors that account for some of the missing 66.3% of the power that the solar cell does not convert to usable electricity.

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What is the electric field at a point
0.300 m to the right of a
-4.77*10^-9 C charge?
Include a + or - sign to indicate the
direction of the field.

Answers

Answer:

E = -477 N/C

Explanation:

Given that,

Charge, \(q=-4.77\times 10^{-9}\ C\)

We need to find the electric field at a point 0.3 m to the right of the charge.

We know that the electric field at a distance r is given by :

\(E=\dfrac{kq}{r^2}\\\\E=\dfrac{9\times 10^9\times 4.77\times 10^{-9}}{(0.3)^2}\\\\E=-477\ N/C\)

So, the electric field is -477 N/C.

the maximum amount of weight a jack can lift is called its

Answers

The "Load Capacity" of a jack refers to the greatest weight it can support. Maximum weight of cargo that has been authorised by the country where the vehicle was registered.

Define the term Load Capacity?

We can determine the necessary minimum capacity for a trailer jack by analysing the concentration of loads in a typical trailer.

The capacity should take into consideration both the jack's responsibility to sustain the weight and the lifting mechanism's capability to lift it.The tongue of a conventional trailer is designed to support 10% to 15% of a gross trailer weight when the trailer is positioned horizontally. Take the gross trailer weight then multiply it by the number of trailer jacks required to support the trailer. 15 to determine the tongue's theoretical weight. Choose a jack with a safety margin with which you are familiar with and that can support that weight.

Thus, the "Load Capacity" of a jack refers to the greatest weight it can support.

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How long will it take for a rock to fall 12 meters?

Answers

Answer:

1.56 seconds.

The rock will take 1.56 seconds to fall.

We have a rock.

We have to determine how long it will take for a rock to fall 12 meters.

State the second equation of motion.

The second equation of motion is -

S = ut + 1/2 at²

According to the question -

initial velocity = u = 0 m/s

acceleration = a = 9.8 m/s²

distance = S = 12 meters

Using the second equation of motion -

S = ut + 1/2 at²

12 = 0 + 0.5 x 9.8 x t²

12 = 4.9t²

t² = 2.45

t = 1.56 seconds

Hence, the rock will take 1.56 seconds to fall.

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What is the TIME conversion for Wonderland?

Answers

Wonderland is in the UTC+2 time zone. This time zone is two hours ahead of UTC (Coordinated Universal Time). In this time zone, the sun rises and sets two hours later than it does in UTC.

Exploring the Impact of Time Zones

When it comes to developing more on this topic, it's important to consider the effects that this time zone has on local businesses, communities, and daily life. For example, due to the late sunrise and sunset, many locals may find it difficult to adjust to the longer days and shorter nights.

Additionally, the time zone can have an effect on business operations, as well as the types of activities that people can participate in. It's also important to consider how the time zone affects communications with people in other time zones, as a two-hour time difference can make it difficult to coordinate meetings and other activities.

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How do mirrors
work?​

Answers

Answer:

the light relflects off them and creates a image

Answer:

When photons - rays of light - coming from an object (your smiling face, for example) strike the smooth surface of a mirror, they bounce back at the same angle. Your eyes see these reflected photons as a mirror image.... If a smooth surface absorbs the photons, they can't bounce back and there will be no reflection.

Explanation:

*Hope this helps*

An Object with a mass o 5.13kg placed on top of a spring compresses it by 0.25m (a) what is the force constant of the spring (b) How high will this object go when the spring releases its energy?

Answers

The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

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always use significant figure rules. remember that these rules apply to all numbers that are measurements. one complete wave passes a putrefying pile of poached pickerel in 0.50 seconds. the piled pickerel protrude 20 cm along the beach. calculate the period of the wave. s

Answers

The time T is identical to 0.50 seconds since one whole wave completes in 0.50 seconds. F = 1/D = 1/0.5 = 2 Hz, where T = 0.5 Frequency.

What exactly is a wave?

A wave, according to Webster's dictionary, is a perturbation or variation that gradually transfers energy from one place to another inside a medium. It can be a multiple and complex or a change in pressure, magnetic or electrical strength, electric potential, or heat.

How is a wave formed?

Water moves in a circular pattern as a result of energy traveling through it, creating waves. Water does not, however, literally move in waves. Without obstruction, waves can potentially flow across the ocean, transmitting energy rather than water.

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Satellite A has a mass of 1. 5x10^3 kilograms and is traveling east at 8. 0x10^3 meters per second. Satellite B is traveling west at 6. 0x10^3 meters per second. The satellites collide head-on and come to rest. What is the mass of satellite B?

Answers

The mass of satellite B is equal to 2 X 10³ Kg.

Mass of satellite A = m = 1.5 X 10³ Kg

Mass of satellite B = m'

Velocity of satellite A = v = 8 X 10³ m/s

Velocity of satellite B = v' = 6 X 10³ m/s

To find mass of satellite B = m' =

Using the theorem of conservation of linear momentum we get,

= momentum of satellites initially = momentum of satellites finally

= mv + m'v' = m(0) + m'(0)

= mv + m'(-v') = 0

= mv = + (m'v')

= 1.5 X 10³ X 8 X 10³ = m' X 6 X 10³

= m' = ( 1.5 X 10³ X 8 X 10³ ) / 6 X 10³

= m' = 2000 Kg

Thus, mass of satellite B is 2 X 10³ Kg.

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if i want an thrilling job witch should i chose im stuck beetween,
1. horse rider
2. drawer
3. photographer

Answers

Answer:

horse rider

Explanation:

it will help in the future  and its fun

A film badge worn by a radiologist indicates that she has received an absorbed dose of 2. 5 x 10-6 gy. the mass of the radiologist is 71 kg. how much energy has she absorbed?

Answers

Energy absorbed by the radiologist is 1.775*10^-6J.

To find the answer, we have to know about the radiation.

How much energy has she absorbed?We have the expression for dose of absorption as,

           \(D=\frac{E}{m}\)

where; E is the energy absorbed and m is the mass of the body.

From the above expression, substituting appropriate values given in the question, we get,

         \(E=D*m=2.5*10^{-6}J/kg*71kg=1.775*10^{-4}J\)

Thus, we can conclude that, the Energy absorbed by the radiologist is 1.775*10^-6J.

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A 750g mass is placed on a spring which lies on a frictionless surface. the spring has a spring constant k=500 N/m and is at its equilibrium length.
A)the spring is tretch so that it is 10.0cm longer than its equilibrium length. how much elastic potential energy is stored in the spring now?
b)now the spring from part (a) is released, what is the speed of the mass as it passes through the eqiuilibrium porint (x=0)?

Answers

A) The elastic potential energy stored in the spring is 25 J. B) The speed of the mass as it passes through the equilibrium point is 2.58 m/s.

A) To find the elastic potential energy stored in the spring, use the formula:
Elastic potential energy (PE) = (1/2)kx^2
Where k is the spring constant (500 N/m) and x is the displacement from the equilibrium length (0.1 m).
PE = (1/2)(500)(0.1)^2
PE = 25 J
B) The elastic potential energy will be converted to kinetic energy when the spring is released. Use the formula:
Kinetic energy (KE) = (1/2)mv^2
Where m is the mass (0.75 kg) and v is the velocity.
Since PE = KE, we can find the velocity:
25 J = (1/2)(0.75 kg)v^2
Solve for v:
v = 2.58 m/s

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5.4.2 Test (CST): Earth's Resources
Question 5 of 15
▬▬
The human population grows by about 2 percent each year, showing
growth.
OA. exponential
OB. linear
OC. cubic

Answers

The human population which grows by about 2 percent each year, is showing linear growth.

What is linear increment?

A linear increment occurs when a sequence increases gradually with a constant value.

If a population increases at the rate of 2%, the incremental rate or constant factor is 2%, thus, we can conclude that the human population which grows by about 2 percent each year, is showing linear growth.

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give ten easy ways of saving water for chlidren​

Answers

Answer:

1. Reuse your bath water for plants

2. Take speedy showers.

3. Turn off the water while brushing your teeth.

4. Help fill the dishwasher.

5. Wash your apple in a bowl of water.

6. Don't wash your car often

7. Fix any leaky taps at home

8. Collect rainwater

9. Avoid the use of recreational water toys

10. Don’t fill up a water cup to the brim

If it takes 50 j of energy to move 10 c of charge from point a to point b, what is the magnitude of the potential difference between points a and b?

Answers

Answer:

the magnitude will not be equal coz point a us greater than point B

Label some of the force that will cause the soccer ball to eventually come to a rest

Answers

The force of friction and inertia will help bring the soccer ball at rest.

If you kick a soccer ball across a field the ball travels across the field and slowly comes to a stop. Since the ball slowly comes to a stop, this means about the net force on the ball as it rolls across the field would decrease and finally would be less than the friction force.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum. As given in the problem if you kick a soccer ball across a field the ball travels across the field and slowly comes to a stop. Since the ball slowly comes to a stop.

Since the ball stops gradually, this implies that the net force exerted on it as it rolls over the field will eventually diminish until it is less than the friction force.

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The complete question:

You kick a soccer ball across a field the ball travels across the field and slowly comes to a stop. Since the ball slowly comes to a stop what does this mean about the net force on the ball as it rolls across the field? Label some of the force that will cause the soccer ball to eventually come to a rest.

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