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 1

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;

[tex]Centripetal \, force \ F_c = \dfrac{m \times v^2}{r}[/tex]

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;

[tex]Centripetal \, force \ F_c = Centrifugal \, force \ F = \dfrac{m \times v^2}{r}[/tex]

From which we have;

[tex]F = 995 = \dfrac{57 \times v^2}{42.7}[/tex]

[tex]\therefore v = \sqrt{\dfrac{995 \times 42.7}{57} } \approx 745.38[/tex]

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 2

Answer: 18.1 m/s

Explanation:


Related Questions

When you know both the speed and direction of an object’s motion, you know the

Answers

Answer:

When you know both the speed and direction of an object's motion, you know the velocity of the object.

When you know both the speed and direction of an object’s motion, you know the magnitude of the speed and direction in which it is moving.

What is Speed ?

Speed is a rate of change of distance with respect to time. i.e. v =dx÷dt.

Speed can also be defined as distance over time

i.e. speed= distance ÷ time

it is denoted by v and its SI unit is m/s. it is a scalar quantity. i.e. it has only magnitude not direction. ( velocity is a vector quantity, it has both magnitude and direction. when we define velocity, we should know about its direction)

Speed shows how much distance can be traveled in unit time.

As speed is scalar quantity it has nothing to do with the direction. but when magnitude of speed is given and the direction as well, then we can say that a car or body is moving with this much speed at this direction(east, north, west, south).

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22. State any three features of the electroscope.​

Answers

-1- was created in the 1600 by william gilbert
-2-When the charge is positive, electrons in the metal of the electroscope are attracted to the charge and move upward out of the leaves. This results in the leaves to have a temporary positive charge and because like charges repel, the leaves separate. When the charge is removed, the electrons return to their original positions and the leaves relax
3-

An electroscope is made up of a metal detector knob on top which is connected to a pair of metal leaves hanging from the bottom of the connecting rod. When no charge is present the metals leaves hang loosely downward. But, when an object with a charge is brought near an electroscope, one of the two things can happen.

The fall of a body on the earth surface cannot be a complete free fall ? why

Answers

It can never be in a total free fall due to air resistance and terminal velocity due to mass

Which one of the following is not a member of the solar family: (a) Morning Star (b) Evening Star (c) Pole Star (d) Tailed Star plzzz answer this...

Answers

Answer:

Tailed star

Explanation:

Tailed star

If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, what is the focal length?
Answer options: 0.63m or 1.6m

Answers

Answer:

where is the picture. .......

Answer:

1.6m

Explanation:

To solve, we must use the equation: 1/f = 1/so + 1/si

f= focal point

so=object's distance

si=image's distance

We put in the numbers we have and we get: 1/f = 1/8.0 + 1/2.0.

1/f =  0.125 + 0.5 (changed the fractions to decimals)

1/f = 0.63 (0.625 rounded to the hundredths)

Now we solve for f:

1 = 0.63f

f = 1/0.63

f = 1.6

The focal length is 1.6m.

Hope this helped!

What is the kinetic energy of a jogger with a mass of 70.8 kg traveling at a speed of 2.4 m/s?

90 points if you get it right :)

Answers

Kinetic energy equation is KE= 1/2mv^2. So plug in the numbers and you get a Kinetic Energy of 203.904 J

A hot air balloon holds 7.40 x 107 liters of gas. In order for the hot air balloon to rise into the sky, it must be heated to 120°C. Once the balloon is up in the air, the air needs to be cooled in order for the balloon to land. If the temperature of the balloon is decreased to 40.0°C, what will the new volume of the gas be?

Remember to pay close attention to the units of temperature before beginning your calculations.

Answers

Answer:

2.467×10^7 litres

Explanation:

Using the formula V1/T1 = V2/T2

V1 and V2 are the initial and final volume respectively

T1 and T2 are their respective temperatures

Given

V1 = 7.4×10^7litres

T1 = 120°C

T2 = 40°C

Required

V2

From the formula

V2 = V1T2/T1

V2 = 7.4×10^7(40)/120

V2 = (7.4×10^7)/3

V2 = 2.467×10^7 litres

Hence the new volume of the gas will be 2.467×10^7 litres

How does the number of batteries affect the strength of an electromagnet?

Answers

Answer:

The answer is below

Explanation:

It has been observed that the strength of electromagnets is based on the electrical current passing through their wires.

However, the number of batteries can affect the strength of electromagnets if only the electromagnet's resistance is what's hindering the current.

This can be observed when multiple batteries are connected thereby increasing the degrees of voltage across the electromagnet.

Why does sound travel more quickly through a solid than through a liquid or a gas?

Answers

Answer:

things move quickly through a liquid

Explanation:

Things move quickly through a gas

Which of these objects has memetic energy

Answers

Answer:

A collision of pool balls is an example of kinetic energy being transferred from one object to another. Kinetic energy is the energy of mass in motion.

Explanation:

Do all objects have kinetic energy?

Kinetic and potential energies are found in all objects. If an object is moving, it is said to have kinetic energy (KE). Potential energy (PE) is energy that is "stored" because of the position and/or arrangement of the object.

PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

It is either A or D I think it is A.

Tbh i think A is wrong bcuz they arent making an agreement AT ALL. The correct answer is C. George washington is sending aid which is why he said that depends on you the trust is well placed. George washington sent aid to this place to helped the oppressed. YOUR CORRECT ANSWER IS C

In the following figure identify ‘A’ and ‘B’ which represents different colours of the spectrum. Why does this phenomenon occur?

Answers

Answer:

A is red

B is violet

Explanation:

A has a high penetration power hence greatest frequency and short wavelength in accordance to the diagram above.

The color with greatest frequency is red.

B has the least penetration power as it is greatly refracted in accordance to the diagram which shows that it has least frequency and high wavelength.

The color of least frequency is violet.

A car has a force of 2000N and a mass of 1000kg. What is the acceleration
of the car?
20 m/s/s
20 m/s
2m/s
2m/s/s

Answers

Answer:

2m/s/s

Explanation:

The formula goes- F=MA

F-Force M-Mass & A-Acceleration

We need to rearrange this formula to find the acceleration-

A=F/M

All we need to do now is substitute the values in

A=2000N/1000kg

A=2m/s^2

In the given option the last option (2m/s/s) would be the ans, as it's the same as 2m/s^2

So ya, I guess that's all

A teacher pushes a cart, while a student pushes a second, heavier cart
with the same amount of force. If the student's cart has three times the
mass as the teacher's, which of the following is true? *

Answers

Answer:

frictional force acting on the cart 450 N.

Given:

mass of cart = 50 kg

acceleration = 3

To find:

Frictional force = ?

Formula used:

F -  = 600 N

F = ma

= frictional force

Solution:

Force on the block is given by,

F -  = 600 N

F = ma

= frictional force

= 600 - m a

= 600 - (50 × 3)

= 600- 150

= 450 N

According to the given data the frictional force acting on the cart 450 N.

A Chevy Camaro drives straight off the top level off a parking garage at 13 m/s. If the car landed 90 meters away from the base of the parking garage, how high (height) was the top level?

a200.64

b234.64

c34.64

d134.64

Answers

Answer:

234.64 m

Explanation:

Using the formula for calculating range;

Range R = u√2H/g

u is the speed = 13m/s

H is the maximum height

g is the acceleration due to gravity = 9,8m/s²

R = 90m

Get the maximum height;

90 = 13√2H/9.8

90/13 = √2H/9.8

6.923 = √2H/9.8

square both sides

6.923² = 2H/9.8

469.698 = 2H

H = 469.698/2

H = 234.64

Hence the top level was 234.64 m high.

Question 5 of 10
Why are magnetic materials attracted to magnets?
A. They become permanent magnets when they are in a magnetic
field,
B. They become temporary magnets when they are in a magnetic
field.
C. They are temporary magnets whether or not they are in a magnetic
field.
D. They are also attracted to Earth's magnetic field, which is always
present

Answers

Answer:

The answer is B

Explanation:

Trust

What is an insurance premium?*

A.Your monthly payment to your insurer, regardless of whether you use any services
B.A list of the procedures covered by your insurance carrier
C,An added cost you pay in order to receive higher-quality services
D.The amount you pay out-of-pocket for a specific procedure or service

Answers

Answer:

A

Explanation:

In a nutshell, an insurance premium is the payment or installment you agree to pay a company in order to have insurance. You enter into a contract with an insurance company that guarantees payment in case of damage or loss and, for this, you agree to pay them a certain, smaller amount of money

hewoooooo pweese help ill do anything
A bus slows from 40 m/s to a stop in 8 seconds. How far does it travel while braking?

Answers

Answer:

320 m/s

Explanation:

40 miles per second and 8 seconds makes 40 times 8

A falling object accelerates from -10.00 to-30.00m/s. How much time does that take??????
I would be very grateful !!!
Please answer who is good at physics
I beg you!
It is urgent and I would be very grateful indeed if you would pls be so kind as to solve this problem and answer in a minute

Answers

With the equation Vf = Vi + at, you can determine the unknown variable. I presume that gravity is the acceleration, so 30 = 10 + 9.8(t) —> 20 = 9.8(t) —> 2.040816 = t

A falling object accelerates from -10.00 to-30.00m/s, it takes approximately 2.04 seconds for the falling object to accelerate from -10.00 m/s to -30.00 m/s.

To determine the time it takes for a falling object to accelerate from one velocity to another:

v = u + at

Here, it is given that:

Initial velocity (u) = -10.00 m/s

Final velocity (v) = -30.00 m/s

Since the object is falling, we can assume that the acceleration (a) is due to gravity and is approximately -9.8 m/s² (negative because it's directed downwards).

Substituting the values into the equation:

-30.00 = -10.00 + (-9.8)t

Simplifying the equation:

-30.00 + 10.00 = -9.8t

-20.00 = -9.8t

Dividing both sides by -9.8:

t = -20.00 ÷ -9.8

t ≈ 2.04 seconds

Thus, it takes approximately 2.04 seconds for the falling object to accelerate from -10.00 m/s to -30.00 m/s.

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A 1370-kg small aircraft accelerates along the runway from 7.4 m/s to 37.8 m/s in 5.20 seconds. Determine the net force acting upon the plane. (Assume that its engine/propeller makes no contributes to its forward motion)

Answers

Answer:

8009 N

Explanation:

Given that a 1370-kg small aircraft accelerates along the runway from 7.4 m/s to 37.8 m/s in 5.20 seconds. Determine the net force acting upon the plane. (Assume that its engine/propeller makes no contributes to its forward motion)

According to the definition of acceleration, acceleration is the change in velocity per time taken.

Acceleration a = ( 37.8 - 7.4 )/ 5.2

Acceleration a = 30.4 / 5.2

Acceleration a = 5.846 m/s^2

Force = mass × acceleration

Force = 1370 × 5.846

Force = 8,009 N

Therefore, the net force acting upon the plane is 8009 N. (Assume that its engine/propeller makes no contributes to its forward motion)

when we say Mohit has Blue Eyes which part of the ice is begin referred to US blue​

Answers

Answer:

The iris

Explanation:

In the iris mohit have blue eyes Iris. The colored part of the eye which helps regulate the amount of light entering the eye. When there is bright light, the iris closes the pupil to let in less light. Ok so please mark me as brainleast

A machine that uses 200 w of power moves an object a distance of 15 m in 25 sec. Find
the force needed and the work done by this machine,

Answers

Answer:dummy

Explanation:

Dum dum

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!

A sound wave passes from air into water and then into steel. With each change in medium, the velocity of this wave will a(increase,then decrease b(decrease c(increase d( decrease,then increase ?

Answers

Answer:

a

Explanation:

because it can increase anything

Identify the role of organisms in this food chain.
dragonfly
frog
grass
hawk
mushrooms

Answers

Answer:

the grass is the producer, the mushroom is the decomposer, the dragonfly is the primary consumer, the frog is the secondary, and the hawk is the tertiary consumer.

Explanation:

Hope this helps :)

Answer:

A. Frog

C. Hawk

D. Snake

Explanation:

I just took the test and these answers are right!

A box has a momentum of
38.0 kg*m/s to the right. A 88.3 N
force pushes it to the right for 0.338
S. What is the final momentum of
the box?

Answers

Answer:

67.9 kg*m/s

Explanation:

Pi = 38 kgm/s

F = 88.3N and ∆t = 0.338s

Final momentum Pf = Pi + F∆t = 38 + (88.3)(0.338) = 38 + 29.8454

=) Pf = 67.8454 kgm/s = 67.85kg*m/s

Your answer is 67.9kg*m/s with three significant figures

hope this helps your troubles!

A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the ball hits the ground 4.0 seconds later, approximately how high is the cliff? I NEED HELP FOR THIS QUIZ LOL

Answers

Answer:

78.4m

Explanation:

In these situations, vertical and horizontal components need to be considered separately;

So, horizontal speed is irrelevant since we are talking about vertical height, i.e. the height of the cliff;

But, the fact that the speed is horizontal is relevant because this means the vertical speed initially is 0m/s;

The downwards movement of the ball is due to gravity, which is 9.8m/s²;

The time is given as 4.0s from the top of the cliff to the bottom;

We know the acceleration, time and initial speed so we can use this kinematic equation to solve for distance:

s = ut + ¹/₂at²

s = displacement (/distance)

u = initial vertical velocity = 0

t = time (time taken for the ball to fall) = 4

a = acceleration (downwards) = 9.8

Substitute these values into the equation to get the distance:

s = 0(4) + ¹/₂(9.8)(4)²

s = 78.4m

A(n) ____________ stretch is one done where antagonist muscles are used to stretch the muscles. But the _____________ stretch is one that is done that the muscle needs help from something or someone to stretch the muscle.

Answers

Answer: Dynamic - Static Flexibility

Explanation:

A railroad car is pulled through the distance of 960 m by a train that did 578 kJ of work during this pull.
How much force did the train supply? (Show work)

Answers

Answer:

602.08 N

Explanation:

The force supplied by the train can be found by using the formula

[tex]f = \frac{w}{d} \\ [/tex]

w is the workdone

d is the distance

From the question we have

[tex]f = \frac{578000}{960} \\ = 602.083333...[/tex]

We have the final answer as

602.08 N

Hope this helps you

The force supplied by the train is 602.1 N.

What is force?

This can be defined as the product of mass and the acceleration of a body.

To calculate the amount of force supplied by the train, we use the formula below.

Formula:

W = Fd................. Equation 1

Where:

W = Work done by the trainF = Force supplied by the traind = Distance

Make F the subject of the equation

F = W/d........... Equation 2

From the question,

Given:

W = 578 kJ = 578000 Jd = 960 m

Substitute these values into equation 2

F = 578000/960F = 602.1 N

Hence, The force supplied by the train is 602.1 N.
Learn more about force here: https://brainly.com/question/388851

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

Answers

It should be B: 2.0
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