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

Roxy weighs 120 lbs and dead lifts 150 lbs. What is her absolute strength?

Answers

Answer:

Absolute strength = 1.25

Explanation:

Given:

Body weight of body = 120 lbs

Body weight of thing = 150 lbs

Find:

Absolute strength

Computation:

Absolute strength = Body weight of thing / Body weight of body

Absolute strength = 150 / 120

Absolute strength = 1.25

What item has the most thermal energy?
A. 10 Kg room-temperature water
B. 10 Kg ice
C. 10 Kg cold water
D. 5 Kg ice

I give brainiest if right :)

Answers

Answer:

a

Explanation:

kqkakajskjaajajhshshdbsjsjsjsjsjjaahbqbqbqbqbqqhqhqbqbqbjqjqjqqjjasjjsjzbb,bxbdbbddbbsbsbs s s s s s s. q

How long will it take a projectile to hit the ground from a 400 m tall cliff when launched at 30 m/s horizontally?
19.55 sec
13.33 sec
9.03 sec
4.54 sec
Fast reply if possible

Answers

about 88 seconds for the cannonball to reach its maximum height (ignoring air resistance).

Explanation:

Which particle (proton, neutron, or electron) has a positive charge?

Answers

Proton has a positive charge

Water has a very high heat capacity which is why it's hard to quickly heat up and cool down the oceans true or false

Answers

The answer would be true

I think its uh a carrot

It’s due by tonight, please show work.

Answers

First, you’re gonna need to know the basic formulas for velocity and acceleration. You’re also gonna need to know the kinetic formulas it seems like.
v = change in position/change in time
a = change in velocity/change in time
Vf = Vi + at
Vf^2 = Vi^2 + 2a*change in position
Xf = Xi + Vit + 1/2at^2

Question number 1 is just the velocity formula:
98m/10s = 9.8 m/s

Question number 2 also utilizes the velocity formula:
(250m-100m)/10s = 150m/10s = 15 m/s

Question number 11 uses the acceleration formula:
(15m/s - 25m/s)/2s = (-10m/s)/2s = -5m/s^2 now take the absolute value of that to get magnitude

Question number 12 uses the same concept as number 11. Assign a positive or negative sign respectively to the proper direction.

Number 3-10 use the kinematic formulas I mentioned. I’ll do number 3 for you. The mass of the car plays no factor in the distance traveled. We are given the initial velocity of the car, the acceleration of the car, and the final velocity of the car. It says it came to a rest, so that means 0m/s. The only time independent equation is the Vf squared one. Simply plug in the values and solve for the change in position.
0^2 = 20^2 + 2(-5)*(change in position)
0 = 400 - 10*(change in position)
-400 = -10*(change in position)
Change in position = 40 meters

An arrow is fired directly horizontal off a cliff that is 10.0 meters tall with a velocity of 65.5m/s. How long is the arrow in the air? *

Answers

Answer: The answer is..

Explanation:

10m. And I know what you are doing so there is also an answer for B which is,93.66. For more, search it up on google.

what is the most commmon injury in the United states

Answers

Home injury’s or at home falls

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.

If a race car wants to change its velocity then a net force is
required to cause the necessary

Answers

Answer:acceleration

Explanation:

We define acceleration as the rate of change of velocity. So if a moving object wants to change its velocity, it needs to accelerate.

Thus the statement would be:

"If a race car wants to change its velocity then a net force is  required to cause the necessary acceleration".

--------------------------------

Acceleration defines how the velocity changes, suppose that you are in one dimension and you move with positive velocity, if you have also positive acceleration your velocity will increase.

If you have negative acceleration your velocity will decrease.

But if we go to 2 dimensions we can see that acceleration is way more complex, because it is what allows the changes of direction of motion (by changing the direction of the velocity).

Now, acceleration comes from Newton's second law of motion:

F = m*a

Force equals mass times acceleration.

Then if we know that a car wants to change its velocity, it needs to apply a force such that it causes the necessary acceleration to change the velocity as wanted.

From this we can see that the complete statement would be:

"If a race car wants to change its velocity then a net force is  required to cause the necessary acceleration"

If you want to learn more, you can read:

https://brainly.com/question/12550364

how do forces work in nature?

Answers

The strong force is that force which cause the basic pieces of an atom to hold together. The weak force is radiation; this force is instrumental in things decaying. Electro-magnetism is the charged field which surrounds iron based materials or objects.

Force make objects movable and to change their state. Various kinds of forces in nature balances altogether every processes in nature. The energy we gain or lost is due to some kind of force and resultant displacement.

What is force?

Force is an external agent acting on an object to change its state of motion or to deform it. Force is a vector quantity and is characterized by its magnitude and direction. There are various kinds of forces such as gravitational force, magnetic fore, frictional forces, nuclear force etc.

Its due to gravitational force by earth  that we are standing on the ground. We experience a weight due to this effect. Similarly the rotating current in the earth core generates the magnetic force of earth.

Every objects need a force to change its state or rest or motion. Similarly, the work done in any fields is the result of any force applied on the system.

Find more on force:

https://brainly.com/question/28875770

#SPJ2

Scientists might make a computer model of volcanic eruptions. What is the biggest benefit of this model

Answers

Answer:

I think it would be to be able to prevent a volcanic eruption in the future and take the appropriate prevention protocols.

Explanation:

What is the average speed (in miles per hour) of the car that traveled a total of 200 miles in 5.5 hours

Answers

Answer:

Average speed of the car is 36.36 miles per hour

Explanation:

It is given that,

Total distance traveled by the car, d = 200 miles

Total time taken, t = 5.5 hours

In this case, we have to find the average speed of the car. Average speed of the car is defined as the total distance divided by total time taken. Mathematically, it can be written as :

   

s = 36.36 miles per hour

Hence, the average speed of the car is 36.36 miles per hour.  \

What is the relationship between mass and kinetic energy?

Answers

Answer:

Direct relation

Explanation:

When an object of mass m is moving with some velocity v, it will have kinetic energy. It is possessed by an object whenever an object is in motion. It can be given by the below formula.

[tex]E_k=\dfrac{1}{2}mv^2[/tex]

It is very clear that the kinetic energy of an object is directly proportional to its mass. When the mass increases, its kinetic energy increases directly.

what’s the relationship between height and potential energy?

Answers

Answer:

the higher up an object is, the more potential energy it has

Explanation:

A 12 V battery produces a current of 6 amps. What is the resistance?

Answers

Answer:

The resistance is 2 ohms

Explanation:

Hopes this helps.

Question 10 of 10
Two particles are separated by 0.38 m and have charges of 1.25 x 10-9C and
1.92 * 10-°C. Use Coulomb's law to predict the force between the particles if
the distance is doubled. The equation for Coulomb's law is F = kouse, and
the constant, k equals 9.00 x 109 Nm²/C2
A. -1,50x10-7N
B. -3.74 x 10-8N
C. 1,50 x 10-7N
D. 3.74 x 10-8N
SUBMIT

Answers

Answer:

Its d 3.74 x 10-8N

Explanation:

Answer: 3.74 x 10-8 N

Explanation:

What is your average speed in mph if you travel 15 miles in 2 hours and 30
minutes?
hey

Answers

Answer:

6 mph

Explanation:

mph = miles per hour

So 15 miles over 2.5hrs

So 15/2.5 = 6 mph

Which option is a force:

A. velocity

B. acceleration

C. mass

D. weight

Answers

Answer:

D

Explanation:

Weight and force have same derived units

the different phases of the moon are caused by the moon's near 28-day_

Answers

Answer:

lol

Explanation:

Zoom in to get a clear picture

Answers

Hi! I csnt see the picture very well can you type it out so I can assist you correctly

Answer:

D. Place mirrors at both A and E

Explanation:

- True or false: A 100 kilogram moon rock has more inertia on Earth than it does on the Moon.
True
False

Answers

True I’m not sure but I think I’m right

mention the importance of writing the number in scientific notation​

Answers

Answer:

Scientific Notation was developed in order to easily represent numbers that are either very large or very small. ... As you can see, it could get tedious writing out those numbers repeatedly. So, a system was developed to help represent these numbers in a way that was easy to read and understand: Scientific Notation.

Find the length of a rectangle with the area 20cm² and width 10cm​

Answers

Answer:

The answer is 2 because 10 times 2 equals 20

Explanation:

Answer:

2 cm

Explanation:

A=L * w

20 = 10 * L

L = 20/10

L = 2cm

some things are difficult for science to observe so ______ are built in order to study these phenomena​

Answers

Answer:Describe how scientists study the natural world. Explain ... In this way, scientists gradually build an increasingly accurate and detailed ... Science rests on evidence and logic, so it deals only with things that can be observed. ... This is a drawback, because it may make the observations difficult to interpret.

Explanation:

Answer:

Models

Explanation:

A wooden log has to be carried by two people. If one of them is strong and another is weak, how will they carry the log?

Show with a diagram and also give reason.

Answers

Answer:

Explanation:

theey carry it together

How can regular participation in physical activity improve an individual's overall health?
A Regular participation in physical activity reduces the risk of developing various diseases.
В. Regular participation in physical activity allows an individual to function on less sleep.
Regular participation in physical activity reduces the need for a balanced diet.
D. Regular participation in physical activity prevents an individual from developing certain
diseases
Please select the best answer from the choices provided
ОВ
OD

Answers

Answer:

a) Regular participation in physical activity reduces the risk of developing various diseases.

Answer:

I think A

Explanation:

I did some research on this today for class, here is what I wrote if you want an understanding why I think A is the answer: Exercise can cause a temporary boost in the production of macrophages, the cells that attack bacteria. During moderate exercise, immune cells circulate through the body more quickly and are better able to kill bacteria, which can help you not get colds and viruses, after a few hours the immune system will return to normal, the more you exercise the longer the effects will last. So the more you exercise the better your immune system will be!

Hope this helps, I attached a pdf of the form and stuff I used earlier if you want some info...

(tell me if it doesnt work)

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

What would the gravitational field strength be on a planet with twice Earth's mass
and twice its radius?

78.4 N/kg
39.2 N/kg
19.6 N/kg
9.8 N/kg
4.9 N/kg

Answers

Answer:

a = G M / R^2      acceleration due to gravity

aE /aP = (ME / RE^2) / (MP / RP^2) = (ME / MP) * (RP^2 / RE^2)

Since MP = 2 ME   and RP = 2 RE

aE / aP = 1/2 * 2^2 = 2

So the gravitational field strength of the planet is 1/2 that of the earth or 4.9 N/kg

A bomber is diving towards it's target at an angle of 45 degrees below the horizontal and at a speed of 320 m/s. When the bomber is 600m above the ground, it releases its load, which then hits the target. How long will it take the bomb to reach the target?

Answers

Answer:

The time it will take the bomb to reach the target is approximately 2.402 seconds

Explanation:

The given information are;

The direction the bomber is travelling = 45° below the horizontal

The speed at which the bomber was travelling = 320 m/s

The elevation at which the bomber releases its load = 600 m

Therefore, we have;

The height at which the bomb is released, s = 600 m

The inclination of the direction of motion of the bomb = 45° below the horizontal

The magnitude of the velocity of the bomb at release = 320 m/s

The vertical component of the velocity = 320 m/s × sin(45°) = 160·√2 m/s

Therefore, the initial vertical velocity, [tex]u_v[/tex], of the bomb = 160·√2 m/s downwards

From the equation of motion, we have;

s = [tex]u_v[/tex] × t + 1/2 × g × t²

Where;

t = The time it takes the bomb to hit the target

g = The acceleration due to gravity = 9.81 m/s²

∴ 600 = 160·√2 × t + 9.81 × t²

9.81 × t² + 160·√2 × t - 600 = 0

By the quadratic formula, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]t = \dfrac{-160 \times \sqrt{2} \pm \sqrt{(160 \times \sqrt{2} )^{2}-4\times 9.81\times (-600)}}{2\times 9.81}[/tex]

t ≈ -25.467 seconds or t ≈ 2.402 seconds

Given that t is a natural number, we have the correct option is t ≈ 2.402 seconds

Therefore, the time it will take the bomb to reach the target ≈ 2.402 seconds.

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