Ethan drove a 1500 kg car around a circular track with a radius of 75 m. If the magnitude of the centripetal acceleration is 2 m/s2, what is the car's speed?
A)2.25 m/s
B)20 m/s
C)37.5 m/s
D)150 m/s ​

Answers

Answer 1

Answer:

12.25 m/s

Explanation:

The following data were obtained from the question:

Mass (m) = 1500 Kg

Radius (r) = 75 m

Centripetal acceleration (a) = 2 m/s²

Velocity (v) =?

Centripetal acceleration (a) is related to the velocity (v) and radius (r) according to the following formula:

a = v²/r

Thus, we can obtained the velocity of the car by using the above formula as illustrated below:

Radius (r) = 75 m

Centripetal acceleration (a) = 2 m/s²

Velocity (v) =?

a = v²/r

2 = v²/75

Cross multiply

v² = 2 × 75

v² = 150

Take the square root of both side.

v = √150

v = 12.25 m/s

Thus, the speed of the car is 12.25 m/s.


Related Questions

A 14000 kg tank moving at 9 m/s is brought to a halt in 2.5 s by a reinforced-steel tank barrier. What magnitude of the impulse was imparted to the tank

Answers

Answer

The value is  [tex]I = 126000 \ kg \cdot m/s[/tex]

Explanation

From the question we are told that

  The mass of the tank is   [tex]m = 14000 \ kg[/tex]

   The speed is  [tex]u = 9 \ m/s[/tex]

   The duration taken to bring it to a stop is  [tex]\Delta t = 2.5 \ s[/tex]

Generally the impulse that was imparted on the tank is mathematically represented as

         [tex]I = m (u - v )[/tex]

Generally the v is the final velocity of the tank which is  v = 0 m/s , given that it was brought to rest

So

       [tex]I = 14000 (9 - 0 )[/tex]

=>    [tex]I = 126000 \ kg \cdot m/s[/tex]

Impulse is defined as the mass and change of velocity. The magnitude of the impulse was imparted to the tank 126000 Kg m/sec.

What is impulse?

The force which acts on the body for a short interval of time is known as the impulsive force. The impulsive force is defined as the product of force and the duration for the force is applied.

It is denoted by I. Its unit is kgm/sec.

m is the mass of the tank =  14000 kg

v is the final speed = 9 m/s

u is the initial speed =0

t is the time interval = 2.5 sec.

The formula for impulse is given as ;

[tex]\rm I=\frac{m(v-u)}{t} \times t \\\\ \rm I=m(v-u) \\\\ \rm I=14000(9-0)\\\\\rm I= 126000 \;kgm/sec[/tex]

Hence the magnitude of the impulse was imparted to the tank 126000 Kg m/sec.

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Suppose that the potential energy of a body at a certain height is 200 J. If the body falls, what is its kinetic energy just as it reaches the ground?

Answers

Answer:

200j

Explanation:

The kinetic energy just as it reaches the ground is 200J.

What is Potential energy?

Potential energy is defined as the energy stored within an object that exists as a result of the state, position or arrangement of the object. It is one of the two primary forms of energy while the other is kinetic energy. The stored energy is released when there is a change in the state, position or arrangement of the object.

This is the stored energy which depends upon the relative position of various parts of a system such as a spring has more potential energy when it is compressed or stretched.

Initially the potential energy of the body is 200 J but when it is released, its potential energy is converted into kinetic energy. When the body just touches the ground, the kinetic energy becomes equal to the potential energy.

Thus, the kinetic energy just as it reaches the ground is 200J.

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I'll give brainliest if you give me a good awnser. :)

A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.

Answers

Answer:

0.5

Explanation:

50x0.01=0.5
The answer is 0.5! I hope this helps you out!!

Which material is a composite? A. gold B.silicon C.polycarbonate D.aluminum

Answers

Answer:

Correct answer is polycarbonate not gold

Explanation:

Suppose an electric eel develops a potential difference of 450 V driving 0.80 A during a 1.0 ms pulse. What is the power output of the eel during this pulse

Answers

Answer:

The power output is  [tex]P = 360 \ W[/tex]  

Explanation:

From the question we are told that

  The potential difference developed is  [tex]V = 450 V[/tex]

  The current is [tex]I = 0.80 \ A[/tex]

  The duration of the pulse is  [tex]\Delta t = 1.0 ms = 1,0 *10^{-3} \ s[/tex]

Generally the power output of the eel during the pulse is mathematically represented as

      [tex]P = V * I[/tex]

=>    [tex]P = 450 * 0.80[/tex]  

=>    [tex]P = 360 \ W[/tex]  

A plant dying after being exposed to poison represents a physical change.

True
False

Answers

Answer:

It does not represent a physical change

Answer:

chemical change as death is irreversible

where was the position of the singularity before the big bang ?​

Answers

.........? Wot do you m e a n

what is the state of y when y = k/x, x is halved.

Answers

Answer:

y becomes doubled.

Explanation:

If;

       y  = [tex]\frac{k}{x}[/tex]  

what is the state of y when x is halved;

  the given expression is an inverse relationship. When y increases, x is supposed to decrease and vice versa.

 

 if x is halved; x  = [tex]\frac{x}{2}[/tex]

           [tex]\frac{k}{\frac{x}{2} }[/tex]   = [tex]\frac{2k}{x}[/tex]  

Now compare :

      [tex]\frac{k}{x}[/tex]  :  [tex]\frac{2k}{x}[/tex]

we see that y becomes doubled

ke...
11. Table salt, NaCl, is a classic binary ionic compound. (4 points)
a. What is the oxidation number of Na? Of Cl?
ave...

Answers

Answer:

+1

-1

Explanation:

The oxidation number of Na in NaCl is +1 and that of Cl is -1.

For simple ions, the oxidation number is the charge they carry.

When NaCl is oxidized we have;

        NaCl →  Na⁺  + Cl⁻

In this process, Na will lose an electron to become Na⁺ and thus isoelectronic with Ne, Cl will gain the electrons to become Cl⁻ and thus isoelectronic with Argon.

What part of the body acts as levelers

Answers

Answer: your feet are the foundation! Even though all your body parts are connected and affect one another, your feet are what we at Foot Levelers call, the "foundation".

Explanation:

How much thermal energy (in kcal) is required to change a 43 g ice cube from a solid at - 16.5 oC to steam at 11.5 oC above boiling

Answers

Answer:

The total thermal energy required  is 8.93 Kcal

Explanation:

Given;

mass of the ice cube, m = 43 g

specific heat capacity of water, Cp = 4.18 J/gc

specific latent heat of fusion of ice, Cf = 334 J/g

First step, determine the heat needed to raise the temperature of the ice from -16.5 °C to 0° C

Q₁ = mCp[0 - (-16.5)]

Q₁ = 43 x 4.18(16.5)

Q₁ = 2965.71 J

Second step, determine the latent heat of fusion of ice at 0°C

Q₂ = mCf

Q₂ = 43 x 334

Q₂ = 14362 J

Third step, determine the quantity of heat required to raise the temperature of the water initially at 0°C to above 11.5 °C of boiling point of water.

The final temperature of the water = 11.5 °C + 100° C = 111.5 °C

Q₃ = mCp Δθ

Q₃ = 43 x 4.18 (111.5 - 0)

Q₃ = 20041 J

Total thermal energy required = Q₁ + Q₂ + Q₃

Total thermal energy required =  2965.71 J + 14362 J +  20041 J

Total thermal energy required = 37,368.71 J

Total thermal energy required = 8.93 Kcal

What is the highest order dark fringe, , that is found in the diffraction pattern for light that has a wavelength of 575 nm and is incident on a single slit that is 1410 nm wide?

Answers

Answer:

The highest order dark fringe is 2

Explanation:

From the question we are told that

   The wavelength is  [tex]\lambda = 575 \ nm = 575 *10^{-9} \ m[/tex]

    The width is of the slit is  [tex]d = 1410 nm = 1410 *10^{-9} \ m[/tex]

Generally the highest order dark fringe  is mathematically represented as

       [tex]m = \frac{w}{\lambda }[/tex]

=>     [tex]m = \frac{ 1410 *10^{-9}}{ 575 *10^{-9} }[/tex]

=>     [tex]m =2[/tex]

An elevator is pulled up by a cable with a force of 65,000 N. The upward acceleration of the elevator is 1.8 m/s/s. What is the mass of the elevator?
a. 1.8 kg.
b. 1700 kg.
c. 54880 kg.
d. 5600 kg.
e. 36111 kg.

Answers

Answer:

36111 kg

Explanation:

Given

Force = 65000N

Acceleration = 1.8m/s²

Required

Determine the mass of the elevator

This question will be answered using the following Force formula.

Force = Mass * Acceleration

Substitute values for Force and Acceleration

65000N = Mass * 1.8m/s²

Make Mass the subject

Mass = 65000N/1.8m/s²

Mass = 36111.11 kg

From the list of given options, option E answers the question.

describe how you would measure the diameter of a tennis ball​

Answers

You would use a vernier calliper. Take measurements at different angles and take an average.

Fast and safe heart rate for workouts is called muscular strength? True or false

Answers

Answer:

False

Explanation:

Answer:

false :3

hope this helps

How is mass-energy equivalence demonstrated in the Sun?

Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.
Hydrogen nuclei fuse to form a larger nucleus by absorbing a large amount of energy and converting it into a small amount of mass.
Hydrogen nuclei form from smaller nuclei, and a small amount of mass is converted into energy.
Hydrogen nuclei form from smaller nuclei by absorbing a large amount of energy and converting it into a small amount of mass.

Answers

Answer:

Explanation:

Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.

The mass difference between a helium nucleus and four hydrogen nuclei is 0.7%; this mass difference is transformed into energy during the fusion process. Each mole of He42 created as a result of this reaction generates around 3.6 1011 kJ of energy. Thus, option A is correct.

What Hydrogen nuclei fuse to form a larger nucleus?

Hydrogen is exhausted during the fusion of hydrogen nuclei, which creates helium and energy. The process's fuel is hydrogen. The star's core condenses and heats up further as the hydrogen is consumed.

For instance, 0.645% of the mass is lost during the fusion of two hydrogen atoms to create helium in the form of electromagnetic radiation or the kinetic energy of an alpha particle. Even those of the lightest element, hydrogen, require a significant amount of energy to get their nuclei to fuse.

Due to this, heavier and heavier elements are encouraged to fuse together, eventually creating all the elements up to iron.

Therefore, Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.

Learn more about Hydrogen nuclei here:

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When are zeros significant when found to the trailing (to the right) of the decimal point?

Answers

Answer:

Usually, zeroes are found to the right of a decimal point in significant numbers if you have something like [tex]7\frac{1}{100000000000000000000000000}[/tex] (exaggerated example of course), which is when you have a number that is very very close to the integer before it, but isn't that integer.

Plant cells have It is used for photosynthesis

Answers

I believe the answer is chloroplasts

what is the mass of an object that is accelerating at 15 m/s when a force of 2000N is exerted

Answers

Answer:

133.33 kg

Explanation:

The mass of an object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{2000}{15} = \frac{400}{3} \\ = 133.3333[/tex]

We have the final answer as

133.33 kg

Hope this helps you

a (n) net is the overall force on a object

Answers

Answer:

net force

Explanation:

The net force is the vector sum of all the forces acting on an object.

A person who weighs 670 N steps onto a spring scale in the bath- room, and the spring compresses by 0.79 cm. (a) What is the spring con- stant

Answers

Answer:

The spring constant is 84,810.13 N/m

Explanation:

Given;

applied force on the spring scale, f = 670 N

extention of the spring, x = 0.79 cm = 0.0079 m

Apply Hook's law to determine the spring constant;

f = kx

where;

f is the applied force

k is the spring constant

x is the is the extension

k = f / x

k = 670 / 0.0079

k = 84,810.13 N/m

Therefore, the spring constant is 84,810.13 N/m

insulator allows the electric current to pass through it true or false please anyone please please please​

Answers

I say the answer is eating chicken. Eating chicken provides many nutrients such as, protein, diabetes, and somminilla.

Please help! ASAP. I'm going to have a panic attack.

Answers

Answer:

dont die bro

Explanation:

Define SI system of measurement.

Answers

Answer:

SI system - a complete metric system of units of measurement for scientists; fundamental quantities are length (meter) and mass (kilogram) and time (second) and electric current (ampere) and temperature (kelvin) and amount of matter (mole) and luminous intensity (candela); "Today the United States is the only country

Explanation:

hope this helps u, sorry if it doesn't.

Answer:

International System of Units (SI), French Système International d'Unités, international decimal system of weights and measures derived from and extending the metric system of units. Adopted by the 11th General Conference on Weights and Measures (CGPM) in 1960, it is abbreviated SI in all languages

A boat can travel 2.30 m/s in still water. If the boat points its prow directly across a stream whose current is 1.80 m/s , what is the magnitude of the velocity of the boat relative to the shore?

Answers

Answer:

A boat can travel 2.30 m/s in still water. (a) If the boat points its prow directly across a stream whose current is. ... (a) What is the velocity (magnitude and direction) of the boat relative to the shore? ... The boat's velocity with respect to the shore, , is the sum of its velocity with respect to the water

Explanation:

Hurry please

The distance from wave to wave is called what

Answers

Answer:

Wavelength

Explanation:

The answer to your question is wavelength! Hope this helps have a great day

A wheel accelerates with a constant angular acceleration of 4.5 rad/s2. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

Answers

Answer:

The angle which the wheel rotates through in 2 seconds is   [tex]\theta =11 \ radians[/tex]

Explanation:

From the question we are told that

    The constant angular acceleration of the wheel is [tex]\alpha = 4.5 rad/s^2[/tex]  

     The initial angular velocity of the wheel is  [tex]w_1 = 1.0 \ rad/s[/tex]

     The time duration considered is  [tex]t = 2.0 \ s[/tex]

Generally from kinematic equation we have that

      [tex]\theta = w_1 t +\frac{1}{2} \alpha t^2[/tex]

=>   [tex]\theta = 1.0 * 2 +\frac{1}{2} * 4.5 * 2^2[/tex]

=>   [tex]\theta =11 \ radians[/tex]

What magnification would be obtained if an eyepiece with a focal length of 0.38 m was placed on telescope?

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete because the telescope's focal length was not provided. The formula to be used here is

Magnification = telescope's focal length/eyepiece's focal length

The eyepiece's focal length was provided in the question as 0.38 m.

NOTE: Magnification can be described as the power of an instrument (in this case telescope) to enlarge an object. It has no unit and thus the two focal lengths mentioned in the formula above must be in the same unit (preferably meters since one of them is in meters already).

A 50 N girl climbs the flight of stairs in 3 seconds. How much work does she
perform? How much power does she use? *

Answers

She uses 0 power because she simply has no gas left. She used all of it getting a 50 pc McDonald’s nugget with a side of ranch and a medium fry and a large water.

An archer shoots an arrow. Consider the action force to be the bowstring against the arrow. The reaction to this force is the:_____________

a. friction of the ground against the archer's feet.
b. grip of thhe archer's hand on the bow.
c. arrow's push against the bowstring.
d. combined weight of the arrow and bowstring
e. air resistance against the bow arrow.

Answers

Answer:

c. arrow's push against the bowstring.

Explanation:

Newtons third law of motion describe the relationship between action and reaction forces. Thus when the action force is applied by the bowstring against the arrow, a reaction to this force is supplied by the arrow's push against the bowstring.

If these two forces are not equal and opposite, the arrow would not move as expected. The elastic property of the bowstring propels the arrow at a rate which is due to the potential energy it has gained due to the stretching force.

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