While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be 15 m, and you use your watch to find that each loop around takes 23 s.A. What is your speed?
B. What is the magnitude of your acceleration?
C. What is the ratio of your weight at the top of the ride to yourweight while standing on the ground?
D. What is the ratio of your weight at the bottom of the ride toyour weight while standing on the ground?

Answers

Answer 1

Answer:

Explanation:

From the given information:

radius = 15 m

Time T = 23 s

a) Speed (v) = [tex]\dfrac{2 \pi r}{T}[/tex]

[tex]v = \dfrac{2\times \pi \times 15}{23}[/tex]

v = 4.10 m/s

b) The magnitude of the acceleration is:

[tex]a = \dfrac{v^2}{r} \\ \\ a = \dfrac{(4.10)^2}{15}[/tex]

a = 1.12 m/s²

c) True weight = mg

Apparent weight = normal force

From the top;

the normal force = upward direction,

weight is downward as well as the acceleration.

true weight - normal force = ma  

apparent weight =mg - ma  

[tex]\dfrac{apparent \ weight}{true \ weight} = \dfrac{(mg - ma)}{(mg)}[/tex]

[tex]=1- \dfrac{1.12}{9.8}[/tex]

= 0.886 m/s²

d)

From the bottom;

acceleration is upward, so:

apparent weight - true weight = ma

apparent weight = true weight + ma

[tex]\dfrac{apparent \ weight }{true \ weight} =\dfrac{ mg + ma}{mg}[/tex]

[tex]\dfrac{apparent \ weight }{true \ weight} =1+ \dfrac{a}{g} \\ \\ = 1 + \dfrac{1.12}{9.8}[/tex]

[tex]= 1 + \dfrac{1.12}{9.8} \\ \\[/tex]

= 1.114 m/s²


Related Questions

Newton discovered that sunlight was composed of colors.


True or False

Answers

Answer:

True

Newton's Rainbow. In the 1660s, English physicist and mathematician Isaac Newton began a series of experiments with sunlight and prisms. He demonstrated that clear white light was composed of seven visible colors.

Explanation:

Hope it helps

Which phase of matter makes up stars?

Answers

i believe it’s gas because that’s all that stars are really made of

Answer:

Plasma is a phase of matter that makes up stars.

identify and explain the climate cycle shown
below. Illustrate how conditions change during
the summer

Answers

Answer:

wnd change

Explanation: wnd chsnge

Why do you think the Senate requires a greater percentage of votes?

Answers

Answer:

yes

Explanation:

yes

15. If a dog pulls a 5 kg sled with a force of 70 N, what is its acceleration?

Answers

Answer:

14 m/s^2

Explanation:

We have to use the equation F=ma because the question is a Newton's second law question.

First, list known values

F (force) = 70 N

m (mass) = 5 kg

a (acceleration) = ? (we have to solve for this)

Second, plug in known values into equation.

F=ma

70=5a

Third, solve. To solve this all you have to do is divide both sides by 5

70/5=5/5a

Fourth, your answer will be 14 meters per second squared  (m/s^2)

I hope this answer helps and have a great day!

pick the correct answer there are three correct answers

Answers

A, and D are two correct answers im not sure about the third sorry

Two cars approach each other from opposite directions each
with a velocity of 54 km/h. One of the cars emits a note of frequency 480 Hz. What will be the approximate frequency
heard in the other car before they cross each other?

Answers

Answer:524 Hz

Explanation:

Approximate frequency, heard in other car, when two car approaches each other, before they cross each other is 524 Hz.

What is frequency?

Frequency of wave is the number of waves, which is passed thorough a particular point at a unit time.

For the two cars approaching each other the Doppler formula to find the frequency of second car is given as,

[tex]f_2=\dfrac{V_s+V_2}{V_s-V_1}f_1[/tex]

Here, [tex]V_s[/tex] is the speed of the sound.

Two cars approach each other from opposite directions.The velocity of car one is 54 km/h and the velocity of the car two is also 54 km/h.

Convert the unit of velocity of the car as,

[tex]\rm 54km/s=54\times\dfrac{5}{18}m/s\\\rm 54km/s=15m/s[/tex]

As we know that the speed of the sound is 340 m/s and one of the cars emits a note of frequency 480 Hz.

Thus, putting the values in the above formula to find out the frequency heard in the other car before they cross each other as,

[tex]f_2=\dfrac{340+15}{340-15}480\\f_2=524.3\rm Hz[/tex]


The approximate frequency heard in the other car before they cross each other is 524 Hz.

Learn more about the frequency here;

https://brainly.com/question/1436295

Andres buys a new scooter. He goes 8 Km north from the beach. He then
travels 5 Km to the east. Then chases a friend 8 Km north. What distance
did he cover?
What was Andres's displacement?

Answers

Answer:

Distance: 21km

Displacement: ~16.76km

11. Find the direction of the Force

Answers

Answer:

We answer that before but I forgot

HELP URGENT WILL GIVE BRAINLIEST

Answers

i think it’s B. I just makes most sense in my opinion.

A ball is thrown vertically upwards with a velocity
of 30 m/s. Find the greatest height attained
A. 40 m B.50 m C.55 m D.45 m

Answers

Answer:

Explanation:

The acceleration of gravity is 9.8m/s^2.

So to calculate the time it will take to make the ball stop(which btw means the ball now reach its greatest height), use the formula V1=V0+at. V1 is the final velocity(which is 0), V0 is the starting velocity(which is 30m/s), and the a(cceleration) is 9.8m/s^2.

(You can ignore the fact "at" is -30 instead 30, it's because the directions two velocity travel are opposite. )

We can now know the time it takes to make the ball stop just by the gravitational force is about 3 sec.

Use another formula S=1/2at^2, to find out the S(height) is 1/2*9.8*3^2=44.1, which is approximately D.45m .

If the radius of the Earth decreases to one fourth (1/4) its original size, what would your NEW weight become
1. 4 times as much
2.1/4 as much
3.16 times as much
4.1/16 as much

Answers

Answer:

1/4 as much

Explanation:

I don't know the explanation

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