1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elden [556K]
3 years ago
10

I have a set of calipers that can measure thickness of a few inches with an uncertainty of ±0.005 inches. I measure the thicknes

s of a deck of 52 cards and get 0.590 inch.a) If i now calculate the thickness of 1 card, what is my answer (including uncertainty)b) I can improve this result by measuring several decks together. If I want to know the thickness of 1 card with an uncertainty of only 0.00002 inch, how many decks do i need to measure?
Physics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

(a) 0.0113 ±0.0001 inches

(b) 5 decks

Explanation:

<u>Given information</u>

52 cards, thickness is 0.590 ±0.005 inches

Since this is thickness of all the cards, to get the thickness of a single card we divide the total thickness (plus uncertainty) by the number of cards hence

1 card=\frac {0.590}{52}±\frac {0.005}{52}= 0.0113461 ±0.000096 inches

Considering that thickness is given to 3 significant figures while uncertainty is to 1 significant figure, the final answer should also conform to these hence giving the first part of the answer to 3 significant figures while second part to 1 significant figure yields 0.0113 ±0.0001 inches

(b)

Considering that the cards have uncertainty of 0.0001 inches and the number of decks, n required to create uncertainty of 0.00002 inch is given by

n=\frac {0.0001}{0.00002}=5

We need 5 decks for the given uncertainty

You might be interested in
A body which has surface area 5cm² and temperature of 727°C radiates 300J of energy in one minute. Calculate it's emissivity giv
cestrela7 [59]
<h2>Answer: 0.17</h2>

Explanation:

The Stefan-Boltzmann law establishes that a black body (an ideal body that absorbs or emits all the radiation that incides on it) "emits thermal radiation with a total hemispheric emissive power proportional to the fourth power of its temperature":  

P=\sigma A T^{4} (1)  

Where:  

P=300J/min=5J/s=5W is the energy radiated by a blackbody radiator per second, per unit area (in Watts). Knowing 1W=\frac{1Joule}{second}=1\frac{J}{s}

\sigma=5.6703(10)^{-8}\frac{W}{m^{2} K^{4}} is the Stefan-Boltzmann's constant.  

A=5cm^{2}=0.0005m^{2} is the Surface area of the body  

T=727\°C=1000.15K is the effective temperature of the body (its surface absolute temperature) in Kelvin.

However, there is no ideal black body (ideal radiator) although the radiation of stars like our Sun is quite close.  So, in the case of this body, we will use the Stefan-Boltzmann law for real radiator bodies:

P=\sigma A \epsilon T^{4} (2)  

Where \epsilon is the body's emissivity

(the value we want to find)

Isolating \epsilon from (2):

\epsilon=\frac{P}{\sigma A T^{4}} (3)  

Solving:

\epsilon=\frac{5W}{(5.6703(10)^{-8}\frac{W}{m^{2} K^{4}})(0.0005m^{2})(1000.15K)^{4}} (4)  

Finally:

\epsilon=0.17 (5)  This is the body's emissivity

3 0
3 years ago
How is motion affected by change in mass of an object and forces applied?
densk [106]
Newtons second law says that the acceleration of an object (produced by a net force) is directly proportional to that magnitude of the net force. E.g. F = ma
where F is the net force of an object, m is mass and a is acceleration.
For example, if an object had a large mass, there would have to be more force in order to move it than if it was lighter.  
In a linear motion, if you pushed two objects, one slightly larger than the other, with the same force, the acceleration of the smaller object would be bigger than the larger one. So the motion (change in position over time), of the larger object would be seen as lesser than the smaller one (in a situation where both forces are equal).
6 0
3 years ago
In the thomson model of the atom, where was the positive charge located?
Fudgin [204]
I don't know if you still need this, but here's an answer anyways.

It was a giant cloud of matter, with negatively charged electrons inside.
7 0
4 years ago
QUESTION 1 If you do 1,000 J of work on a system and remove 500 J of heat from it, what is the change in its internal energy?
Mazyrski [523]
1. U = Q + W
    U = -500 + 1000
    U = 500 J

2. The first law of thermodynamic is about the law of conservation of energy where energy in should be equal to energy out.

3. It is the windmill that does not transform energy from heat to mechanical instead it is the transforms the opposite.

4. In a heat engine, work is used to transfer thermal energy from a hot reservoir to a cold one.

5.  5.00 × 10^4 J - 2.00 × 10^4 J = 3.00 × 10^4 J 

6. To increase the work done, we raise the temperature of the cold reservoir. 
7 0
3 years ago
Read 2 more answers
I need some help w/ this:
pochemuha

Answer:

The velocity of the police car is, v = 17.798 m/s

Explanation:

Given data,

The actual frequency of the siren, f = 2010 Hz

The observed frequency of siren is, f' = 2120 Hz

The velocity of the observer, v' = 0 m/s

The velocity of the source, v = ?

The formula for Doppler effect,

                            f'=\frac{(V+v')}{(V-v)}f

Where,

                         V - velocity of sound waves in air.

                          v=V-(V+v')\frac{f}{f'}

Substituting the given values,

                         v=343-(343+0)\frac{2010}{2120}

                                 v = 17.798 m/s

Hence, the velocity of the police car is, v = 17.798 m/s

5 0
3 years ago
Other questions:
  • What is the current through a 11v bulb with a power of 99w
    14·1 answer
  • Which best describes the energy used to pluck guitar strings to make sound?
    12·2 answers
  • A monatomic ideal gas undergoes an adiabatic expansion to double its volume. the same final state can be reached by an isobaric
    6·1 answer
  • A 2.44 kg block is pushed 1.55 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle o
    8·1 answer
  • What is the another name for the lower fixed point?
    12·2 answers
  • Now that you are familiar with MRI's, nanotechnology and micro-bots, use your imagination to brainstorm other probable invention
    9·1 answer
  • rt A For a given substance, do you expect the density of the substance in its liquid state to be closer to the density in the ga
    6·1 answer
  • Which of the following biomes has the highest number of different species of plants and animals?
    12·1 answer
  • A spring-mass system has a spring constant k = 383 N/m, length of the spring L = 0.5 m, and the mass attached to it is M = 3.8 k
    11·1 answer
  • uppose two train cars are moving toward one another, the first with a mass of 150,000 kg and a velocity of 0.300 m/s; the second
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!