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zhannawk [14.2K]
3 years ago
10

Choose the CORRECT statements. The superposition of two waves.

Physics
1 answer:
cestrela7 [59]3 years ago
7 0

Answer:

A

Explanation:

I guess not that much confidential!

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The half-life of Iodine-131 is 8.0252 days. If 14.2 grams of I-131 is released in Japan and takes 31.8 days to travel across the
MakcuM [25]

Answer:

Explanation:

Half-life problems are modeled as exponential equations.  The half-life formula is P=P_o\left (\dfrac{1}{2} \right)^{\frac{t}{k}} where P_o is the initial amount, k is the length of the half-life, t is the amount of time that has elapsed since the initial measurement was taken, and P is the amount that remains at time t.

P=14.2\left (\dfrac{1}{2} \right)^{\frac{t}{8.0252}}

<u>Deriving the half-life formula</u>

If one forgets the half-life formula, one can derive an equivalent equation by recalling the basic an exponential equation, y=a b^{t}, where t is still the amount of time, and y is the amount remaining at time t.  The constants a and b can be solved for as follows:

Knowing that amount initially is 14.2g, we let this be time zero:

y=a b^{t}

(14.2)=ab^{(0)}

14.2=a *1

14.2=a

So, a=14.2, which represents out initial amount of the substance, and our equation becomes: y=14.2 b^{t}

Knowing that the "half-life" is 8.0252 days (note that the unit here is "days", so times for all future uses of this equation must be in "days"), we know that the amount remaining after that time will be one-half of what we started with:

\left(\frac{1}{2} *14.2 \right)=14.2 b^{(8.0252)}

\dfrac{7.1}{14.2}=\dfrac{14.2 b^{8.0252}}{14.2}

0.5=b^{8.0252}

\sqrt[8.0252]{\frac{1}{2}}=\sqrt[8.0252]{b^{8.0252}}

\sqrt[8.0252]{\frac{1}{2}}=b

Recalling exponent properties, one could find that  \left ( \frac{1}{2} \right )^{\frac{1}{8.0252}}=b, which will give the equation identical to the half-life formula.  However, recalling this trivia about exponent properties is not necessary to solve this problem.  One can just evaluate the radical in a calculator:

b=0.9172535661...

Using this decimal approximation has advantages (don't have to remember the half-life formula & don't have to remember as many exponent properties), but one minor disadvantage (need to keep more decimal places to reduce rounding error).

So, our general equation derived from the basic exponential function is:

y=14.2* (0.9172535661)^t  or y=14.2*(0.5)^{\frac{t}{8.0252}} where y represents the amount remaining at time t.

<u>Solving for the amount remaining</u>

With the equation set up, substitute the amount of time it takes to cross the Pacific to solve for the amount remaining:

y=14.2* (0.9172535661)^{(31.8)}          y=14.2*(0.5)^{\frac{(31.8)}{8.0252}}

y=14.2* 0.0641450581                    y=14.2*(0.5)^{3.962518068}

y=0.9108598257                              y=14.2* 0.0641450581

                                                        y=0.9108598257

Since both the initial amount of Iodine, and the amount of time were given to 3 significant figures, the amount remaining after 31.8days is 0.911g.

8 0
1 year ago
What is the scientific saying/principle that explains why a hammer and a screwdriver, both made of steel, are used for different
deff fn [24]

Hammer and screwdriver perform different tasks because they are both simple machines.

A machine is simply a device that can be used to perform a task. This  machine can be any physical system or device designed to perform a specific task.

The efficiency of the machine describes the easy with which each machine or tool is able to use input power to overcome a task.

Machines are designed to overcome a particular task with little effort in order to increase its efficiency.

Hammer and screwdriver, are both examples of simple machines.

Thus, Hammer and screwdriver perform different tasks because they are both simple machines.

Learn more here: brainly.com/question/21387235

3 0
3 years ago
A windmill is example of a <br>a.generator <br>b.resistor <br>c.insulator<br>d.motor
Alexandra [31]
The answer is a. generator!
4 0
3 years ago
"the student drops one cannonball, and exactly 1.0 s later drops the other cannonball from the same height. what is the time int
Elden [556K]

Answer;

1 second

Explanation;

Two objects moving at the same speed will always stay the same distance apart. If two objects are moving at different speeds, the distance between them must change.

Therefore; if the distance will be the same and the speed is also the same then the time taken will be the same.

6 0
3 years ago
A car is waiting at a red stop light . The light turns green and the car accelerates at a rate of 2.5m/s for 7.5 seconds. How fa
Mashutka [201]
O miles because it is stopped i think
7 0
3 years ago
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