You're driving your new sports car at 80 mph over the top of a hill that has a radius of curvature of 540 m. What fraction of your normal weight is your apparent weight as you crest the hill?

Answers

Answer 1

Answer:

75.84%

Explanation:

We were given Speed of the sports car, v as 80 mph , we can convert to m/s for unit consistency.

v=80mph= 35.76 m/s

The radius of curvature is given as , r = 540 m

✓ the normal weight can be denoted as Wn

✓ the apparent weight of the person can be denoted as Wa

Wn= normal weight= mg

Wa=apparent weight = (mg - mv^2/r)

g= acceleration due to gravity= 9.8m/s^2

The apparent weightand normal weight has a ratio of

Mn/Ma= [mg - mv^2/r]/mg ........eqn(1)

If we simplify eqn(1) we have

Mn/Ma=[g - vr^2/g].............eqn(2)

Then substitute the given values

Mn/Ma=9.8 - [(35.76^2)/540]/ 9.8

=0.758×100%

Mn/Ma=75.84%

Hence, the required fraction is 75.84%


Related Questions

A 15.0 kg bowling ball rolling at 3 m/s is stopped by a constant force of 11.2 newtons. Calculate the time the force must act on the bowling ball to stop it.

Answers

Answer:

4.01 seconds

Explanation:

Given that:

Mass of ball = 15kg

Initial velocity, u = 3m/s

Final velocity, v = 0

Force, F= 11.2 N

Change in velocity, dv = 3 - 0 = 3

Time force must act on the ball before stopping it:

Using the relation :

F = ma

a = (v - u) / t

Ft = m(v - u)

11.2 * t = 15 * 3

11.2t = 45

11.2t = 45

t = -+¯ 45 / 11.2

t = 4.01

t = 4 seconds.

1. Which of the following will be surrounded by a magnetic field? *
1Two copper wires held close together.
2A pot being heated on an electric stove.
3A wire that is conducting an electrical current.
4An aluminum rod that has been touched by a magnet.

Answers

Answer:

4th answer

Explanation:

without calculation explain why the vertical component of velocity v h changes from 3.5 m/s at A to 0 m/s at B​

Answers

Answer:

due to gravity.

Explanation:

.............

Determine the values of mm and nn when the following mass of the Earth is written in scientific notation: 5,970,000,000,000,000,000,000,000 kgkg.

Answers

Answer:

"m" and "n" are 5.97 and 24 respectively.

Explanation:

Standard form which is a scientific notation [m × 10^n] can be regarded as way to reduce large figures to small one in a decimal firm and this is usually done for conviniency sake.

✓Let us find "m" , to do this we will shorten the long number so that it will be from 1-9. And this is 5.97, hence

m = 5.97

✓ " n" can be determined by counting the digits from our right hand then stop where the decimal point was put when we were finding our "m". Hence

n= 24

✓ if we input the values to the scientific expresion above, we have

m = 5.97 and n = 24

Hence, the Standard form = 5.97 × 10^24 kg which is the scientific notation.

Moving a ball up a hill
O A. increases its chemical energy
OB. decreases its chemical energy
O C. increases its potential energy
OD. decreases its potential energy

Answers

Answer:

C increase in potential energy

The answer would be C

Does the KE of a car change more when it accelerates from 22 km/h to 32 km/h or when it accelerates from 32 km/h to 42 km/h

Answers

Answer:

The change in kinetic energy (KE) of the car is more in the second case.

Explanation:

Let the mass of the car = m

initial velocity of the first case, u = 22 km/h = 6.11 m/s

final velocity of the first case, v = 32 km/h = 8.89 m/s

change in kinetic energy (K.E) = ¹/₂m(v² - u²)

                                          ΔK.E = ¹/₂m(8.89² - 6.11²)

                                                    = 20.85m J

 

initial velocity of the second case, u = 32 km/h = 8.89 m/s

final velocity of the second case, v = 42 km/h = 11.67 m/s

change in kinetic energy (K.E) = ¹/₂m(v² - u²)

                                          ΔK.E = ¹/₂m(11.67² - 8.89²)

                                                    = 28.58m J

The change in kinetic energy (KE) of the car is more in the second case.

The view of light that describes light as consisting of particles is called: Select the correct answer below: particulate spherical discrete corpuscular

Answers

Answer: Corpuscular.

Explanation:

There is a theory called the Corpuscular Theory of Light, which says that light is made of small particles called "corpuscles".

But as we know, light has a duality associated to it (it behaves like a wave and like a particle), and here is where one of the largest problems of this theory appears, because it does not explain things like diffraction or interference.

Then the correct option is corpuscular.

Answer:

hes right

Explanation:

Two 10-cm-diameter charged rings face each other, 23.0 cm apart. Both rings are charged to 40.0 nC . What is the electric field strength You may want to review (Pages 641 - 643) . For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Charge on a Van De Graaff.

Answers

The strength of the electric field is 1.10×10^4 N/C.

The data is sent to us.

r = d/2 = 0.1/2 = 0.05 m, d = 10 cm = 0.1 m, and z = 17 cm = 0.17 m

Q = 40 nC = 40×10^-9 C

A) in the middle of the two circles

Since the electric fields created by the two rings are directed in opposite directions, there is no electric strength.

B) midway down the left ring

Electric strength is equal to the sum of the electric fields created by the left and right rings.

Electric strength is equal to E leftring + E rightring, which equals 0 plus kQz/(r2 + z2).

Electric strength = k×Q×z/(r^2 + z^2)^

Electric strength = 9×10^9×40×10^-9×0.17/(0.05^2 + 0.17^2)

Electric strength= 1.10×10^4 N/C

To know more about  Electric strength visit : https://brainly.com/question/26199225

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For this question you will be designing an investigation Carefully read the information below and respond to the prompt
Does the temperature of a liquid affect the amount of sugar it will dissolve? In other words, if you change the temperature of a liquid, is there a
relationship between the temperature and how much sugar can dissolve at that specific temperature?
Tell how you would test this question, being as scientific as possible (including the different variables, constants, hypothesis, safety considerations, data
tables, etc.) when you write about your test. Write down the steps you would take to find out if the temperature of a liquid affects the amount of sugar it
can dissolve

Answers

Answer:

See Explanation

Explanation:

Temperature affects the amount of sugar that will be dissolved in a liquid. It is general knowledge in chemistry that solutes tend to dissolve in hot solvents compared to cold solvents.

Hence, there is a positive relationship between dissolution of sugar in a liquid and increase in temperature.

To test this hypothesis, the variables are temperature and amount of solute. The volume of solvent and type of solvent must be held constant.

Different amounts of solute are dissolved in the same volume of solvent and heated to a constant temperature and the extent of dissolution of the sugar is observed for each experimental unit.

A control experiment is also set up in which different amount of sugar is dissolved in the same volume of solvent as above without heating and the results are compared.

What new details are you able to see on the slide when the magnification is increased to 10x that you could not see at 4x

Answers

Answer: A more detailed information like the nucleus of cells on the slide is seen as the magnification Increases.

Explanation:

The microscope is an instrument used in a laboratory to view magnified image of an object ( cells on a slide). There are two types:

--> Simple microscope and

--> Compound microscope.

Simple microscope is used to view an object using JUST ONE convex lens, and the image formed is usually erect and magnified.

Compound microscope has a higher magnification compared to a simple microscope. It is produced by using TWO CONVERGING LENS of short focal length. Here, the two lenses used are classified according to their positions. The lens near the object is called the objective lens while the one nearer to the eye is called the eyepiece lens.

The objective lens of the compound lens used in the laboratory has ×4, ×10, ×40, ×100 magnifications. As the magnification of the objective lens is increased from ×4 to ×10 a more detailed information of the image is seen as the diameter of field of view decreases. For example the constituents of a cell like the nucleus can be viewed using a higher magnification.

Which is an example of convection currents?
marshmallows toasting over a campfire
a pot being heated by an electric burner
feet getting hot when stepping across sand
a radiator emitting warm air and drawing in cool air

Answers

Answer:

D

Explanation:

took the quiz!!! I picked B and got it wrong!

An example of convection currents is a radiator emitting warm air and drawing in cool air.

What is Convection?

This is a method of heat transfer which is characterized by movement of a heated fluid such as air or water.

A radiator emitting warm air and drawing in cool air involves a fluid which is why option D was chosen as the most appropriate choice.

Read more about Convection here https://brainly.com/question/9382711

a high ____will have a short wavelength.​

Answers

Question:

A high ____will have a short wavelength

Answer:

That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength. Light waves have very, very short wavelengths

Explanation:

Hope it help

Explanation:

Wave Is The Answer

HighWave

1. Calculate the heat capacity of a piece of wood if 1500.0 g of the wood absorbs 6.750.000 joules of heat,
and its temperature changes from 32°C to 57°C.

Answers

Answer:

1.8 J/gºC

Explanation:

From the question given above, the following data were obtained:

Mass (M) = 1500 g

Heat (Q) absorbed = 67500 J

Initial temperature (T₁) = 32 °C

Final temperature (T₂) = 57 °C

Specific heat capacity (C) =?

Next, we shall determine the change in temperature of the wood. This can be obtained as follow:

Initial temperature (T₁) = 32 °C

Final temperature (T₂) = 57 °C

Change in temperature (ΔT) =.?

ΔT = T₂ – T₁

ΔT = 57 – 32

ΔT = 25 °C

Finally, we shall determine the heat capacity of the wood. This can be obtained as follow:

Mass (M) = 1500 g

Heat (Q) absorbed = 67500 J

Change in temperature (ΔT) = 25 °C

Specific heat capacity (C) =?

Q = MCΔT

67500 = 1500 × C × 25

67500 = 37500 × C

Divide both side by 37500

C = 67500 / 37500

C = 1.8 J/gºC

Thus, the heat capacity of the wood is 1.8 J/gºC

IDENTIFY WHAT IS BEING DESCRIBED IN EACH SENTENCE AND WRITE YOUR ANSWER ON THE BLANKS
_______1. Allows ingestion and breaks down food so that nutrients can be absorbed.

_______2. Provides mechanical support; stores minerals and produces red blood cells.

_______3. Protects the body's internal environment and stores fat.

_______4. Enables the transport of nutrients, glasses and wastes to and from cells.

_______5. Secretes hormones into the bloodstream for regulation of cellular activities.

Answers

1) digestive enzymes

2) skeletal system

3) The integumentary system

4) the cardiovascular system

5) secrete hormones

Hope this helps! Have a good day! ❤️

The correct answers for the given paragraph are as follow:

Digestive Enzymes allows ingestion and breaks down food.Skeletal system provides mechanical support and also stores minerals.Integumentary system protects the body's internal environment and stores fat.Cardiovascular system enables the transport of nutrients, glasses and wastes to and from cells.Endocrine glands secretes hormones into the bloodstream for regulation of cellular activities.

1.

The digestive enzymes are the proteins that tends to break down the larger molecules like fats, proteins and carbs into smaller molecules.

Thus, the correct answer is Digestive Enzyme.

2.

The skeletal system is the framework of body, consisting of bones and various connective tissues. It provides the mechanical support and produces red blood cells.

Thus, the correct answer is skeletal system.

3. The organ system that protects the body's internal environment and stores the fat is known as Integumentary system.

Thus, the correct answer is integumentary system.

4.

The cardiovascular system enables the transport of nutrients, glasses and wastes to and from cells. Also, it is used for the transportation of nutrients and oxygen-rich blood to all parts of the body and to carry deoxygenated blood back to the lungs.

Thus, the correct answer is cardiovascular system.

5.

Endocrine glands are responsible for the secretion of hormones into the bloodstream to regulate the cellular activities.

Thus, the correct answer is Endocrine glands.

Learn more about the human organs and digestive system here:

https://brainly.com/question/16347243

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