(a) As you ride on a Ferris wheel, your apparent weight is different at the top and at the bottom. Explain. (b) Calculate your apparent weight at the top and bottom of a Ferris wheel, given that the radius of the wheel is 7.2 m, it completes one revolution every 28 seconds, and your mass is 55 kg.

Answers

Answer 1

Answer:

a. The component of the net force which make up the apparent weight are added to each other at the bottom and subtracted (the centripetal force from the weight) at the top)

b. Apparent weight at the top is approximately 519.06 N

Apparent weight at the bottom is approximately 558.94 N

Explanation:

a. The apparent weight at the top is different from the apparent weight at the bottom of a moving Ferris wheel because of the opposite direction in which the centripetal force acts at the top and the bottom, which are upwards and downwards respectively, while the weight acts downwards constantly

b. The given parameters are

The radius of the Ferris wheel, r = 7.2 m

The period for one complete revolution, t = 28 seconds

The angle covered in one revolution, θ = 2·π radian

The mass of the person riding on the Ferris wheel, the passenger  = 55 kg

Therefore, we have;

The angular speed, ω = Δθ/Δt = 2·π/(28)

From which we have;

Centripetal force, [tex]F_c[/tex] = m × ω² × r

Substituting the known values, we have [tex]F_c[/tex] = 55 kg × (2·π/(28 s))² × 7.2 m ≈ 19.94 N

The centripetal force, [tex]F_c[/tex] = 19.94 N always acting outward from the center

Weight = Mass × Acceleration due to gravity

The weight of the passenger = 55 kg × 9.8 m/s² = 539 N

The weight of the passenger = 539 N always acting downwards

At the top of the Ferris wheel the the centripetal force is acting upwards and the weight is acting downwards

Therefore;

The net force, which is the apparent weight of the passenger at the top [tex]F_{NET_{Top}}[/tex] = 539 N - 19.94 N ≈ 519.06 N

Apparent weight at the top ≈ 519.06 N

At the bottom of the Ferris wheel the weight is acting downwards and the centripetal force is also acting downwards

Therefore;

The net force at the bottom, which is the apparent weight of the passenger at the bottom [tex]F_{NET_{bottom}}[/tex] = 539 N + 19.94 N ≈ 558.94 N

Apparent weight at the bottom ≈ 558.94 N.


Related Questions

NEED AWNSER NOW! WILL MARK BRAINLY! Which term is defined as the ratio of the speed of light in a vacuum to the speed of light in the material it is passing through?

index of reflection

index of refraction

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Answer:

Index of refraction.

Answer:

index of refraction

Explanation:

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What is the height of a horizontal projectile if it takes 3 seconds to hit the ground?
a
29.4 m
b
3.0 m
C
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d
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Answers

Answer:

B

Explanation:

how many teeth shows signs of decay?​

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Answer:

what do you mean

Explanation:

Which of the following is most likely to be a conductor?
OA. Aplastic
OB. A molecule containing only nonmetal atoms
OC. A covalently bonded molecule
D. Acompound containing metallic bonds

Answers

Answer:

D.

Explanation:

A compound containing metallic bonds

hope it helps!

Describe what happens to the moving boat when the oars are out of the water and the forward thrust is zero

Answers

Answer:

The boat won't be able to move if the oars were out and there was no thruster. If there was a flow of the water then yes there would be a moving boat.

What movement allows us to move our side to side?

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Answer:

Ball-and-socket joints

Explanation:

Which best defines gravity?

A. The tendency of objects to fall from trees

B. An attractive force between two objects due to their mass

C. The amount of matter in an object

D. The rate at which objects fall to earth

Answers

Answer:

B. An attractive force between two objects due to their mass

Explanation:

Answer:

B

Explanation:

Gravity is a force that pulls 2 objects towards each other and varies depending on mass. The earth for example is large enough to have a gravitational force that keeps us down. The sun has a gravitational force that keeps the Earth in orbit.

the speed of water at the tap of lower storey is more than that in the upper storey​

Answers

Answer:

Pressure of liquid in container is given by, P= height × density × acceleration of gravity.

At the lower storey, the height of the liquid from the open end is great, since height is directly proportional to pressure, the pressure exerted by liquid is maximum hence increase in velocity of flow.

Unlike the upper storey where the height of water is less hence the pressure exerted by the liquid is minimum which decreases the velocity / speed of liquid flow

The speed of water in the upper story will be lower than the lower storey because the kinetic energy of water in the upper storey will be less than that in lower storey.

What is kinetic energy?

Kinetic energy of an object is generated by virtue of the motion of the object. Whereas potential energy of the object is formed by virtue of the position of the object.

Kinetic energy depends on the mass of velocity of the object by the equation:

KE = 1/2 Mv²

Potential energy of a body p = Mgh

where, m is mass, g is acceleration due to gravity and h be the height of the object from the surface.

Water at the tap of upper storey is at more height from the surface and thus, having greater potential energy than that in lower storey. Hence, the flow of water will be reduced since it possess more potential energy than kinetic energy.

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Gasoline is an example of an accelerant. True False

Answers

Answer:

true

Explanation:

Answer:

I believe its true

Explanation:

Gasoline is the most common fire accelerant used but it could also be present at a scene as an ignitable liquid due to gasoline being a common fuel. Although ignitable liquids are the most common fire accelerants it is possible to have other chemicals being used as a fire accelerant.

for an object in free fall, calculate the rate of change of the velocity from the first to the 100th second (metric units).

Answers

Answer:

The rate of change of velocity is 9.81 m/[tex]s^2[/tex].

Explanation:

By using the equation of motion, the velocity of any object in free fall at any instant, [tex]v=u+gt[/tex]

Where u (constant) is the initial velocity,

[tex]g=9.81 m/s^2[/tex] is the acceleration due to gravity,

v= velocity at time t.

To get the rate of change of velocity, differentiating the velocity, v, with respect to time, as

[tex]\frac {dv}{dt}=\frac{d}{dt}(u+gt) \\\\=\frac{d}{dt}u +\frac{d}{dt}(gt) \\\\=0+g\\\\=g[/tex]

[tex]\Rightarrow \frac{dv}{dt}=9.81 m/s^2[/tex]

Hence, the rate of change of velocity is 9.81 m/[tex]s^2[/tex].

Gradually increasing resistance, increasing repetition, increasing sets are examples of which principle?

Answers

Answer:

Resistance training.

Explanation:

Resistance training is based on the principle of gradually increasing resistance, increasing repetition and increasing sets to acquire resistance. Resistance training refers to those physical exercises which are designed and done to improve strength and endurance of the body. Resistance training uses the principle of repetition of a particular exercise in order to attain strength as well as resistance against diseases.

PLZ HELP MEEEEEEE,;-;

Answers

Answer:

thxs for the points

Explanation:

because just started

in addition to genetics, and blank and blank may also cause premature gray hair?

Answers

Answer: heretidey and stress

Explanation:

A man speeding at 40m/s decides to outrun the cops and starts to accelerate at a rate of 2.5m/s² for 12 seconds. How far did he travel in this time?

Answers

Answer:

The distance traveled by the man during the acceleration is 1186.32 meters

Explanation:

The initial velocity of the man = 40 m/s

The added acceleration rate of the man to outrun = 2.5 m/s²

The time of acceleration = 12 seconds

The relevant kinematic equation of motion is given as follows;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity of the car the man is driving = 40 m/s

t = The time of travel during acceleration of the car the man is driving = 12 seconds

a = The acceleration by the man to outrun the cops = 2.5 m/s²

s = The distance traveled by the man during the acceleration

Substituting, gives;

s = 40 × 12 + 1/2 × 9.81 × 12² =  1186.32

The distance traveled by the man during the acceleration = s = 1186.32 m.

A 15 kg box is sliding down an incline of 35 degrees. The incline has a coefficient of friction of 0.25. If the box starts at rest, how fast is it moving after it travels 3 meters?

Answers

The box has 3 forces acting on it:

• its own weight (magnitude w, pointing downward)

• the normal force of the incline on the box (mag. n, pointing upward perpendicular to the incline)

• friction (mag. f, opposing the box's slide down the incline and parallel to the incline)

Decompose each force into components acting parallel or perpendicular to the incline. (Consult the attached free body diagram.) The normal and friction forces are ready to be used, so that just leaves the weight. If we take the direction in which the box is sliding to be the positive parallel direction, then by Newton's second law, we have

• net parallel force:

F = -f + w sin(35°) = m a

• net perpendicular force:

F = n - w cos(35°) = 0

Solve the net perpendicular force equation for the normal force:

n = w cos(35°)

n = (15 kg) (9.8 m/s²) cos(35°)

n ≈ 120 N

Solve for the mag. of friction:

f = µ n

f = 0.25 (120 N)

f ≈ 30 N

Solve the net parallel force equation for the acceleration:

-30 N + (15 kg) (9.8 m/s²) sin(35°) = (15 kg) a

a ≈ (54.3157 N) / (15 kg)

a ≈ 3.6 m/s²

Now solve for the block's speed v given that it starts at rest, with v₀ = 0, and slides down the incline a distance of ∆x = 3 m:

v² - v₀² = 2 ax

v² = 2 (3.6 m/s²) (3 m)

v = √(21.7263 m²/s²)

v ≈ 4.7 m/s

Why do these two magnets attract each other?
A. The poles that face each other are opposite magnetic poles.
B. The poles of one magnet cause the other magnet to have a
magnetic field.
C. The magnetic fields leave the magnets and concentrate between
them.
D. The magnetic field is weaker between the two magnets.

Answers

Answer:

A

Explanation:

When two magnets are brought near each other, like poles repel; opposite poles attract. We like to represent this force effect of a magnet on iron-like objects with a concept called magnetic field. The concept of field can be best understood if we remember the gravitational force of Earth on object near it.

Every magnet has two poles. The same pole repels while opposite poles attract each other. Option (A) is correct. The poles that face each other are opposite magnetic poles.

What is a magnet?

A magnet is a substance or item that generates a magnetic field. This magnetic field is invisible, but it is responsible for a magnet's most remarkable property.

A force that attracts or repels other ferromagnetic elements such as iron. Every magnet has two poles. The same pole repels while opposite poles attract each other.

Due to polarity Option (A) is correct. Hence the poles that face each other are opposite magnetic poles.

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A billiard ball moving at 5 m/s strikes another ball which is initially at rest. After the collision, the first ball moves at a velocity of 4.35 m/s at an angle of 30o below its original motion. Find the velocity and angle of the second ball after the collision. Assume that the collision is perfectly elastic.

Answers

Answer:

The velocity of the second ball is approximately 2.588 m/s

The angle direction of the second ball is 75° counterclockwise from the horizontal

Explanation:

The initial velocity of the first billiard ball = 5 m/s

The initial velocity of the billiard ball the first billiard ball strikes = 0 m/s

The final velocity of the first billiard ball = 4.35 m/s

The final direction of motion of the first billiard ball = 30° below its original motion

For perfectly elastic collision, whereby the target is at rest initially, by conservation of momentum, we have;

m₁ × [tex]\underset{v_1}{\rightarrow}[/tex] = m₁·[tex]\underset{v'_1}{\rightarrow}[/tex] + m₂·[tex]\underset{v'_2}{\rightarrow}[/tex]

Which gives;

m₁ × 5·i = m₁·((√3)/2×5·i - 2.5·j) + m₂·[tex]\underset{v'_2}{\rightarrow}[/tex]

∴ m₂·[tex]\underset{v'_2}{\rightarrow}[/tex] = m₁ × 5·i - m₁·((√3)/2×5·i - 2.5·j)

m₂·[tex]\underset{v'_2}{\rightarrow}[/tex] = m₁ × 5·(1 - √3/2)·i + m₁·2.5·j = m₁ × 2.5·(2 - √3)·i + m₁·2.5·j

Therefore, given that the mass of both billiard balls are equal, we have, m₁ = m₂, which gives;

m₂·[tex]\underset{v'_2}{\rightarrow}[/tex] = m₁·[tex]\underset{v'_2}{\rightarrow}[/tex]  = m₁ × 2.5·(2 - √3)·i + m₁·2.5·j

∴ [tex]\underset{v'_2}{\rightarrow}[/tex] = 2.5·(2 - √3)·i + 2.5·j

The magnitude of the velocity of the second ball is [tex]\underset{v'_2}{\rightarrow}[/tex] = √((2.5·(2 - √3))² + 2.5²) ≈ 2.588 m/s

The direction of the second ball, θ = arctan(2.5/((2.5·(2 - √3))) = 75° counterclockwise from the horizontal.

Hiaaa I need help pwease" concerning the planetary orbits why was Copernicus somewhat inaccurate?"

Answers

Copernicus's heliocentric theory stated that the planets orbited in perfectly circular orbits. In reality, they are shaped like ellipses (ovals).

What equation would you use to solve for voltage?

Answers

Answer:

It depends upon what you have given in the question but according to Ohm's law,

[tex]\boxed{V\:= I × R}[/tex]

where, V = voltage (v)

I = current (amperes)

R = resistance (Ω)

Other formulas are:

V = P/IV = √P × R

Hope it helps!<3

help me, please

Amino Acid Sequence: Create the amino acid sequence from protein synthesis using 3 letter abbreviation for amino acids (#5).

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Wish I could help you you rock

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Answer:

Object A has 3 times the mass of object B.

Explanation:

Have a nice rest of your day :)

what is the function of brushes in D.C motor​

Answers

Answer:

to transfer the voltage

Explanation:

The brushes make physical contact with the commutator. When a DC voltage is applied to the brushes, that voltage is transferred into the commutator which, in turn, powers the windings. This electrical input generates a magnetic field around the armature.

a ball bounce on the ground. at what position (A,B,C)does the ball have the greatest potential energy? kinetic energy? explain your answer.​

Answers

Answer:

What is the meaning of the kinetic I think the answer is both the ball has both Kinetic and potential energy so I think is the answer is true

Does an object with constant speed also have constant velocity?. Single choice.

Answers

Answer: No, constant speed does not mean constant velocity.

A classic often used example would be to consider a car driving in circles. If the speedometer reads say 20 mph the entire time, then the speed of the car is held constant (ie the same). But the velocity is changing because velocity measures direction along with speed. The car is changing direction as it moves in a circle.

what is one standard kilogramun si system




Answers

Answer:

The kilogram (kg) is defined by taking the fixed numerical value of the Planck constant h to be 6.62607015 ×10−34 when expressed in the unit J s, which is equal to kg m2 s−1, where the meter and the second are defined in terms of c and ∆νCs.

The kilogram (kg) is defined by taking the fixed numerical value of the Planck constant h to be 6.62607015 ×10−34 when expressed in the unit J s, which is equal to kg m2 s−1, where the meter and the second are defined in terms of c and ∆νCs.

1 Statues can be sculpted from

Answers

Answer:

Other materials from which statues can be sculpted include: contemporary media such as scrap metal, plastic, aluminium, concrete or "found" items, although this latter form of junk art is usually limited to abstract rather than representational works.

what are the harmful effects of drugs in the body?​

Answers

Explanation:

causes hallucinations

causes lung cancer eg cigarettes

causes bad breath

damages the nervous system eg cocaine

Explanation:

Drug use can lead to an addiction. Effects of

drugs on the body can slowly destroy vital

systems and functions. Drug dependence can quickly begin to affect your psychological and physical health, and can also affect your work and social life.

hope it helps!

Which of the technologies could mostly like be found in a wearhouse

Answers

Resources for a business

I’ll mark u as brainlist if you get this right!

Answers

It should be B: 2.0

Question 8 of 15
Which of the following distinguishes electromagnetic waves from mechanical
waves?
A. They carry energy.
B. They have frequencies.
C. They have wavelengths.
D. They don't require a medium to travel through.


Answers

Answer:

D. They don't require a medium to travel through.

Explanation:

Electromagnetic waves and mechanical waves are both types of waves. Electromagnetic waves are waves that arise from the combination of electric and magnetic fields while mechanical waves are waves that arise as a result of transfer of energy via matter.

One major difference between these two types of waves is that electromagnetic waves such as light waves, radiowaves etc. do not need a medium to travel i.e. they can travel through a vacuum, while on the other hand, mechanical waves such as sound waves need a medium to travel.

Answer:

They don't require a medium to travel through

Explanation: hope this helps

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