2. A sphere has a radius of 5.00 cm. with an uncertainty of 5%,

a) what is the percent uncertainty of the volume? _______%

b) What is the volume of sphere with absolute uncertainty? _____ +/ _____cm^3

Answers

Answer 1

Answer:

The percent uncertainty of the volume=[tex]\frac{15.70}{523.59} \times 100=2.99\%[/tex]

The volume of sphere with absolute uncertainty=[tex]523.59 \pm 15.7 cm^3[/tex]

Explanation:

Radius of sphere = 5 cm

Radius with uncertainty r'= [tex]5 \pm 0.05[/tex]

Volume of sphere = [tex]\frac{4}{3} \pi r^3=\frac{4}{3} \pi (r')^3[/tex]

[tex]V=\frac{4}{3} \pi (r')^3\\\frac{dV}{dr'}=4\pi (r')^2[/tex]

Where dV is the uncertainty in volume

dr' is the uncertainty in radius

[tex]dV=4\pi (r')^2 dr'\\dV=4 \pi (5)^2(0.05)\\dV=15.70\\V=\frac{4}{3} \pi (r')^3=\frac{4}{3} \pi (5)^3=523.59[/tex]

The percent uncertainty of the volume=[tex]\frac{15.70}{523.59} \times 100=2.99\%[/tex]

The volume of sphere with absolute uncertainty=[tex]523.59 \pm 15.7 cm^3[/tex]


Related Questions

How long will it take a ball to roll 20 meters along the floor at a speed of 0.4 m/s

Answers

The answer is 50

Explanation:20/.4 = 50

Check: .4 x 50 = 20

A rocket has a mass of 15 kg and travels a distance of 250 meters in 13 seconds before it explodes.

What is the velocity of the rocket?
And
What is the momentum of the rocket?

Answers

Answer:

1. Velocity = 19.2m/s

2. Momentum = 288 Kg/ms-¹

Explanation:

1. The velocity of the rocket can be calculated by using the formula:

V = d/t

Where v = velocity/speed (m/s)

d = distance (m)

t = time (s)

Based on the provided information, d = 250m, t = 13s

v = 250/13

v = 19.231

v = 19.2m/s

2. The momentum of the rocket can be calculated thus:

p = m × v

Where;

p = momentum (Kg/ms-¹)

m = mass (kg)

v = velocity (m/s)

Based on the information, we have v= 19.23m/s, m = 15kg

p = 15 × 19.2

p = 288 Kg/ms-¹

Computer-enhanced x-rays are called __________ scans.
A. TMS
B. PET
C. CT
D. MRI

Answers

Answer:

I think the answer is C

Explanation:

EDGE 2020

Computer-enhanced x-rays is called as  Computed Tomography (CT) scans. Hence option C is Correct.

What is Computed Tomography (CT) scans ?

Computed tomography scan is a medical imaging technique used to get images of our body  which is under study.  Radiographers or radiology technologists are skilled to handle this machine. It is also know as  computed axial tomography scan  (CAT scan). it is used to get internal images of the body. It uses rotating X-ray tube and a detector.

CT scans are more detailed than standard X-rays. In standard X-rays, a beam of X-ray is triggered at the body, the beam passes through the body and it gets imposed on the photographic plate which is behind the body. Variation in intensity on the photographic film shows the internal structure of the body. it can not give information about internal organs and other structures.

CT scan combines  X-ray images taken at different angles around your body and uses computer for processing to create images (slices) of the bones, and blood vessels. CT scan images gives more-detailed information than X-ray.

Hence option C is correct.

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I need help for this displacement question.

Answers

Answer:

577656.0

Explanation:

Identify all the forms of energy in the picture below
identify thermal energy, mechanical energy, radiant energy, electrical energy, sound energy, and chemical energy​

Answers

Answer:

we are going to focus on just a few. • Heat energy ( Thermal). • Mechanical energy. • Light (Radiant) energy. • Electrical energy. • Sound energy. • Chemical energy

At speed, the car accelerated at 1.5 acceleration for 6 seconds. What way did the car go during acceleration?​

Answers

Answer:

The car would be going  forward

Explanation:

Acceleration means there is an increase in the rate or speed of something. And this case it is a vehicle.

if a truck travels 5 kilometres in 10 minutes find the average velocity of the truck?​

Answers

Answer:

8.33

Explanation:

av= distance travelled /time taken

8.33 I hoped that helped

Plz Help 100 points
Cool air moves from an air conditioning unit to the rest of a room in a process called ____________.

Answers

Explanation:

Ventilation

A car moves a distance of 2400 meters in 55 seconds What is the speed of
the car?

Answers

[tex]v = \frac{covered \: distance}{time \: of \: the \: covered \: distance} \\ [/tex]

[tex]v = \frac{2400}{55} \\ [/tex]

[tex]v = \frac{24 \times 100}{5 \times 11} = \frac{24 \times 20}{11} = \frac{480}{11} \\ [/tex]

[tex]v = 43.63 \: \: \frac{m}{s} [/tex]

_________________________________

And we're done...

♥️♥️♥️♥️♥️

Answer:

The average speed is about 44 m/s

Step by Step:

[tex]S= \frac{distance}{time}\\ d= 2400m\\t = 55 seconds\\\\\frac{2400m}{55 seconds}\\\\= approximately\\ 44 m/s[/tex]

I hope you found this helpful

Assume that a scale is in an elevator on Earth.
what force would the scale exert on a 53-kg person
standing on it during the following situations?
(use Fnet = ma and F = mg and g = 10m/s^2)
a. The elevator moves up at a constant speed.
b. It slows at 2.0 m/s^2 while moving upward.
C. It speeds up at 2.0 m/s^2 while moving downward.
d. It moves downward at a constant speed.
Blank 1:
Blank 2:
Blank 3:

Answers

★ Remember :

The reading of scale of a man in an elevator :

When the elevator moves upward with acceleration a, R = m(g + a)When the elevator moves downwards with acceleration a , R = m(g - a)When the elevator falls freely, we take a = g so, R = m(g - g) = 0When the lift is at rest or moves with uniform velocity, a = 0, so R = m(g - 0) = mg

A). The elevator moves up at a constant speed[tex].[/tex]

∴ Acceleration of elevator = 0

➠ R = mg

➠ 53 × 10

➠ R = 530N

B). It slows at 2m/s² while moving upward.

∴ Acceleration of elevator = -2m/s²

[Negative sign shows that speed decreases with time]

➠ R = m(g + a)

➠ R = 53(10 + (-2))

➠ R = 53 × 8

➠ R = 424N

C). It speeds up at 2m/s² while moving downward.

∴ Acceleration of elevator = 2m/s²

➠ R = m(g - a)

➠ R = 53(10 - 2)

➠ R = 53 × 8

➠ R = 424N

D). It moves downward at constant speed.

∴ Acceleration of elevator = 0

➠ R = mg

➠ R = 53 × 10

➠ R = 530N

Hope It Helps!

(a) When the elevator moves up with a constant speed, the force on the scale is 519.4 N.

(b) When the elevator slows down at 2 m/s² while moving up,  the force on the scale is 625.4 N

(c) When the elevator speeds up at 2 m/s² while moving down, the force on the scale is 413.4 N.

(d) When the elevator moves down at constant speed, the force on the scale is 519.4 N.

The given parameters;

mass of the person , m = 53 kg

The force that scale must exert on the person is calculated as follows;

F = mg + ma

F = m(a + g)

(a)

When the elevator moves up with a constant speed, the acceleration is zero.

F = m(0 + g)

F = mg

F = 53 x 9.8 = 519.4 N

(b)

When the elevator slows down at 2 m/s² while moving up;

F = m(a + g)

F = 53(2 + 9.8)

F = 625.4 N

(c)

When the elevator speeds up at 2 m/s² while moving down;

F = m(g - a)

F = 53(9.8 - 2)

F = 413.4 N

(d)

when the elevator moves down at constant speed;

F = m(g - a)

F = 53(9.8 - 0)

F = 519.4 N

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A ball is thrown straight up with a velocity of 16 m/s; what will be its velocity 2.0s after being released?

Answers

Answer:

The ball will be travelling downward with a speed of 9.8 m/s.

Explanation:

The ball will be travelling downward with a speed of 9.8 m/s.

Explanation:

The acceleration of the ball will be a constant  

9.8 m s 2

(downward), regardless of whether the ball is travelling upward or downward.

The equation that makes this calculation simplest is

v f = v i − g ( Δ t )  

where the negative sign has been used to account for the opposite directions of  v i  and  g . After 3 seconds, v f = 19.6 − ( 9.8 ) ( 3 ) = 19.6 − 29.4 = − 9.8 m s

The negative result tells us that the ball is on its way downward by this time (consistent with our choice of a negative value for the downward acceleration of gravity).

Only for people who know the answer to this question fully can answer this others please leave this question.So, Variation is caused by what two factors...????
PLEASE ANSWER IF YOU KNOW 100% TO THE ANSWER OF THIS QUESTION ...Thanks​

Answers

Answer:

Please elaborate which variation. There are different types of variation

can you please specify which type of variation you are looking for?

How much will be the net displacement if a car travels 6 km east and then travels 14 km west
4 points

Answers

8km is the displacement

John is riding the bus to the next samuell football game. The bus is traveling to the right at 20 m/s and Jon is walking towards the back (left) of the bus at 5 m/s. What is Jon’s relative velocity to a stationary observer?

Answers

Answer:

Vrel_jon's = 15 [m/s] to the right

Explanation:

Relative velocity is defined as the relative motion between two bodies, taking into account the directions of motion.

Relative velocity is defined as the relative motion between two bodies, taking into account the directions of motion. The relative velocity is defined as the algebraic sum of the velocities, if the movements are opposite the vectors are subtracted, as will be done below.

Vrel = 20 - 5 = 15 [m/s]

A person watching Jon sees him moving to the right at a speed of 15 [m/s]

The worker’s pull on the handle of the cart can best be described as a force having

Group of answer choices

magnitude, only

neither magnitude nor direction

direction, only

both magnitude and direction

Answers

Answer:

both magnitude and direction

Explanation:

The worker's pull on the handle of the cart is best described as the force having both magnitude and direction.

This is a vector quantityThe force is channeled to move the cart in a specific direction. Also, the pull on the cart can be quantified, and so it have magnitude. Most physical properties either have magnitude or direction or both.

In this case, the worker is pulling the cart towards a specified direction.

Therefore, the fitting choice is both magnitude and direction.

A college student walking on a sidewalk throws his keys to a friend on a balcony 6m above him. If the college student throws the keys upward at 9.4 m/sec, can his friend on the balcony catch the keys? If not, what distance will the keys reach?

Answers

copy and paste into google for the answer

An object is dropped from rest.
What is its instantaneous speed when it has
been in motion for 3 s? The acceleration of
gravity is 9.8 m/s
2
.
Answer in units of m/s.

Answers

Answer:

29.4m/s

Explanation:

Given parameters:

Duration of motion  = 3s

Acceleration due to gravity  = 9.8m/s²

Unknown:

Instantaneous speed  = ?

Solution:

Instantaneous speed is the speed at an instant or a particular time.

 Since initial speed = 0 because it was at rest, the best motion equation to solve this problem is given as;

    V = U + gt

Where V is the instantaneous speed

           U is the initial speed

           g is the acceleration due to gravity

            t is the time taken

Insert the parameters and solve;

        V = 0 + 9.8 x 3  = 29.4m/s

WILL GIVE BRAINLIEST!!! (100 points) cliff divers in hawaii dive from 65 meter high cliffs. the rocks at the base of the cliff protrude 27 meters beyond the edge of the cliff. which sketch is the correct representation of the problem?
answer asap please:)

Answers

choice 3 because the arrow has to be downward for as. and if the divers want to live, the vx has to be going right and not 0 or they would hit the rocks. I hope it's right!

Your body temperature begins to rise during strenuous exercise in hot weather. Specialized nerve cells on the skin detect an increase in temperature; your brain detects an increase in blood temperature. You begin to sweat and as the sweat evaporates, more latent heat of vaporization is removed from your body and you cool down. In this case, your skin and brain acts as ________________ in maintaining homeostasis.

Answers

Answer:

receptors

Explanation:

In this case, your skin and brain act as receptors in maintaining homeostasis. These receptors are monitors in different parts of an organism's body that are there to detect specific changes that occur and activate very specific responses in order to counteract these changes and maintain a very stable system. This is exactly, what your skin and brain are doing in this scenario, they detect the change in temperature and counteract its effects through sweat which ultimately causes the opposite effect and maintains equilibrium in your body.

Viscous lidocaine 2% 30 mL Maalox (do not substitute Kaopectate) 60mL Diphenhydramine (use on hand stock 12.5mg/5mL elixir) 75 mg Carafate 1gm/10mL 40 mL The doctor wants the patient to use a daily dose of 2 teaspoons. How many doses are in the final product?

Answers

Answer:

There are approximately 16 dozes in the final product

Explanation:

The given parameters are;

The viscous lidocaine 2% 30 mL + Maalox 60mL + Diphenhydramine (12.5 mg/5mL elixir)75 mg + Carafate 1gm/10mL 40mL

The total volume becomes;

30 mL + 60 mL + 5 × 75/12.5 mL + 40 mL = 160 mL

1 Teaspoon = 4.928922 mL

Therefore, 2 teaspoon = 2 × 4.928922 mL = 9.857843 mL

Which gives;

The number of doses in 160 mL = 160 mL/(9.857843 mL) = 16.2307312 doses

Which is approximately 16 doses

Therefore, there are approximately 16 dozes in the final product.

Are there differences in how the size/radius changes over time, when you compare stars with different initial masses?

Answers

information panel allows comparisons between the radius, surface temperature, luminosity and mass of ... Describe how the Sun changes over its lifetime. ... C. ​ Follow the evolution for five stars with different masses.

If you walk 90 meters and you complete the walk in 50 seconds what is your speed?

Answers

Answer:

i think this is the answer

Explanation:

PLEASE HELP I NEED THIS DONE BY 11:59!
After how long do the cars pass each other???

Answers

Answer:

They pass after roughly 5 hours and 35 minutes.

5 hours 35 mins i think

If I am throwing a bowling ball off a roof and a watermelon off a roof at 30
feet, which object do you think will have more energy?

Answers

Answer:

Th ball

Explanation:

Se dispara una bala con una velocidad de v = 300[m/s] contra un cascarón esférico de papel que gira con MCU respecto a un eje vertical. Sabiendo que el radio del cascarón es de 10[cm]. Calcular la rapidez angular mínima que deberá girar el cascarón para que el proyectil haga únicamente un agujero. La dirección del movimiento de la bala pasa por el centro de la esfera.

Answers

Answer:

 w = 4.712 10⁻³ rad / s

Explanation:

For this exercise, the time it takes for the bullet to travel the distance of 2R must be equal to the time that the hole must travel half a circle.

Let's start by calculating the time it takes for the bullet, which is going at constant speed.

         v = x / t

         t = x / v

         t = 2R / v

         t = 2 0.10 / 300

         t = 6.666 10⁻⁴ s

As they ask that a single hole is formed in this time, it must be rotated half a circle, that is, θ =π rad, for which we use the angular scientific relations, where the shell has constant angular velocity

          w = θ / t

          w = π / 6,666 10⁻⁴

          w = 4.712 10⁻³ rad / s

How much net force is required make a 10 kg box accelerate at a rate of 5 m/s2?
O2N
0 50 N
0 15 N
0 100 N

Answers

F = (mass)(acceleration)

F = (10)(5)

F = 50

Answer: 50 N

11. When gathering glassware and equipment for an experiment, you should
a. Read all directions carefully to know what equipment is necessary
b. Examine all glassware to check for chips or cracks.
C. Clean any glassware that appears dirty
d. All of the above

Answers

Answer:

C

Explanation:

Option  D is the correct answer.

What are the importance when gathering glassware and equipment for experiment?

Usually in the research labs there were some rules and we have follow those for our safety measures. Some importance rules while doing experiments were:

Flammable materials should be used in open.Always must use the experimental equipment given.While gathering we must read all directions carefully to know the necessary of the equipment.Glassware should be checked whether it's broken or not before using the equipment.All the glassware and equipment using for experiment must be clean.Should ask our lead or instructor before and after the experiment.While using a test tube we should be away from other people.We should use tongs before picking up the heating material and heated equipment.For any clarifications and doubts we should always ask and listen to the instructor.

Hence, option D is the correct answer.

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A change in position of an object relating to time

Answers

The answer is: Motion!

Have a great day

Answer:

Speed describes how far an object moves in a given amount of time (for example, miles per hour).

Explanation:

The director of the swimming program at the YFCA wanted to try out a new method of teaching. For half the summer session he told his instructors to use their usual teaching methods. Then half way through the summer he had all the instructors switch to his new method. Between the middle and end of the summer a significant portion of the students showed marked improvement. What is the independent, and dependent variable, and confound.

Answers

Answer:

Independent variable: method of teaching.

Dependent variable: summer sessions.

confound variable: improvement.

Explanation:

Independent variable is described as a variable that is being manipulated and changed in order to see its effect on the dependent variable. The dependent variable is directly affected by the independent variable.

The dependent variable is described as a variable that is being tested by an experimenter in particular research or experiment.

Confound variable is determined as a "third variable" in an experiment which is responsible for examining an already existing "cause-and-effect" relationship.

: A person walks 10 meters North, the 5 meters South. His displacement is: _____________. His distance is:

Answers

Answer:

Displacement = 5 meters North

Distance = 15 meters

Explanation

If he walks 10 meters North than his displacement would be 10 meters North. But since he walked 5 meters South it changes his displacement to 5 meters North because that is how far he is away from his starting point.

Hope this helps

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