Suppose the maximum safe intensity of microwaves for human exposure is taken to be 1.00 W/m2 . (a) If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an intensity considered to be safe

Answers

Answer 1

Answer:

We must be approximately at least 1.337 meters away to be exposed to an intensity considered to be safe.

Explanation:

Let suppose that intensity is distributed uniformly in a spherical configuration. By dimensional analysis, we get that intensity is defined by:

[tex]I = \frac{\dot W}{\frac{4\pi}{3}\cdot r^{3}}[/tex] (1)

Where:

[tex]I[/tex] - Intensity, measured in watts per square meter.

[tex]r[/tex] - Radius, measured in meters.

If we know that [tex]\dot W = 10\,W[/tex] and [tex]I = 1\,\frac{W}{m^{2}}[/tex], then the radius is:

[tex]r^{3} = \frac{\dot W}{\frac{4\pi}{3}\cdot I }[/tex]

[tex]r = \sqrt[3]{\frac{3\cdot \dot W}{4\pi\cdot I} }[/tex]

[tex]r = \sqrt[3]{\frac{3\cdot (10\,W)}{4\pi\cdot \left(1\,\frac{W}{m^{2}} \right)} }[/tex]

[tex]r \approx 1.337\,m[/tex]

We must be approximately at least 1.337 meters away to be exposed to an intensity considered to be safe.


Related Questions

Which term is the product of force and distance? power work net force acceleration please help

Answers

Answer: WORK

Explanation:

Answer:

work

Explanation:

got it right on edge:p

the amount of power exerted by a machine that applies a force of 550 N over a distance of 10 m in a time of 5 seconds

Answers

Answer:

The meaning of work is a force that acts on an object and the object moves in respond and the meaning of power is how much work is done in a given amount of time. The two terms are related by is that power is the rate of doing work.

Explanation:



2- A car on a straight highway goes in the positive direction for 8 km and then backs up for 3.6 km. What are the distance and displacement covered by the train?

Answers

Answer:

11.6km

4.4km in the negative direction

Explanation:

Distance is the total length of path covered and traveled by a body.

So, for this car on a straight line;

  Total distance  = 8km + 3.6km  = 11.6km

Displacement is the distance traveled along a path and the direction it takes.

It is a vector quantity with magnitude and directional attributes.

For this journey;

 Displacement  = 8km  - 3.6km  = 4.4km in the negative direction.

A small block with mass 0.0425 kg slides in a vertical circle of radius 0.525 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 4.05 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.660 N.

Required:
How much work was done on the block by friction during the motion of the block from point A to point B?

Answers

Answer:

[tex]W=-0.501075J \approx -0.5J[/tex]

Explanation:

From the question we are told that

Mass of block [tex]M=0.425kg[/tex]

Radius of circle [tex]r=0.525m[/tex]

Force  of track [tex]F_t=4.05N[/tex]

Normal Force on block[tex]F_n=0.660[/tex]

Generally the equation for Velocity of block is mathematically Given by the law of conservation of energy

[tex]4.05=(0.425kg*9.8)+(0.425kg*v^2)/0.525[/tex]

[tex]v=\sqrt{\frac{0.525*(4.05-(0.0425*9.8)}{0.0425} }[/tex]

[tex]V=-6.69 \approx 7m/s[/tex]

For initial velocity

0.660 = 0.0425 x u^2/0.525 - 0.0425 x 9.8

[tex]v=\sqrt{0.525*\frac{(0.660+(0.0425*9.8)}{0.0425} }[/tex]

[tex]V=-3.646 \approx 4m/s[/tex]

Generally the equation for work done is mathematically Given by

[tex]Wf=(0.5mu^2 - 0.5mv^2) -mg(2R)[/tex]

[tex]Wf=(0.5(0.0425)(4) - 0.5(0.0425)(7) -(0.0425)(9.8)(2*0.525)[/tex]

[tex]W=-0.501075J \approx -0.5J[/tex]

NEED Answer asap plz!!

Answers

Answer:

I think a is the right not clear but

In a chemical reaction, the mass of the reactants is 13,3 grams. Which of the
following could represent the mass of the products?

Answers

Answer:

my assuytyyhyyyyyy gftdrrdtiifyb tvhyvth rv b yy

what kind of mathematical relationship do you predict wll exist between velocity and number of filters

Answers

Answer:

[tex]PK_T = constant[/tex]  

Explanation:

[tex]PK_T[/tex]  = constant

terminal velocity is the maximum const. velocity to achieved by the partical when particle is free fall with the effect of gravity

so that here

eq of motion is

Fnet = mg - kv     ................1

here a = 0

v = terminal velocity

0 = mg - kV

v = [tex]\frac{mg}{k}[/tex]  m/s

Mass is:

A.how much an object weighs


B.everything around you


C.how much matter is in an object


D.the state of matter such a as solid liquid or gas

Answers

Answer:

C-How much matter is in an object

Explanation:

A helicopter flies with an air speed of 175 km/h, heading south. The wind is blowing at 85 km/h to the east relative to the ground. Calculate the speed and direction of the helicopter.

Answers

Answer:

154° at 195 km/h

Explanation:

The helicopter is moving south at 175 km/h, relative to the wind.

But the wind is moving east at 85 km/h, relative to the ground.

This means that the helicopter is moving south east relative to the ground.

Every hour, the helicopter will move 175 km to the south and 85 km to the east, relative to the ground.

This means that we can determine the speed and direction of the helicopter using a right triangle and simple trigonometry.

Refer to the triangle b1.

The distance traveled by the helicopter in 1 hour is denoted by d.

d is the hypotenuse of the right triangle.

Using the Pythagorean Theorem, we can calculate d to be 195 km (rounded to 3 s. f.)

Hence the helicopter is traveling at 195 km/h relative to the ground.

To calculate the direction we use,

tan (x) = opposite/adjacent = 85/175

So the angle x is,

[tex]x = arctan (\frac{85}{175} )[/tex] = 25.9°

Relative to the North, the helicopter is moving at 180° - 25.9° = 154° (rounded to 3 s. f.)

If force c is 30n and force d us 20 N what is the size of the horizontal force

Answers

Horizontal force is 10
Hope this helped

Convert 41.3 kilocalories into joules.

Answers

Explanation:

41.3 kilocalories = 172 799.2 joules

[tex]hope \: it \: will \: help[/tex]

What is calibration of thermometer?​

Answers

Answer:

HACCP based food safety programs require accurate record keeping to be successful. Temperature is often the parameter of interest when monitoring a critical control point (CCP). ... To be considered accurate, a thermometer must be calibrated to measure within +/- 2° F (1.1° C) of the actual temperature.

Explanation:

Please help! Will give a lot of points

Answers

Answer:

Chemical and Biological weathering.

Explanation:

Processes that break down and weaken earth minerals are known as weathering. Over time, this can lead to erosion, in which huge sections of rock and stone are carried away, changing landscapes. Physical weathering alters the material structure of rocks, while chemical weathering alters their chemical structure.

Two objects are dropped from a bridge, an interval of 1.00 s apart. What is their separation 1.00 s after the second object is released

Answers

Answer:

171.5m

Explanation:

The velocity of sound in water = 343m/s

Time taken = 1.00secs

using the formula to calculate the distance

2x = vt

x is the distance

v is the speed of sound

t is the time

x = vt/2

x = 343(1)/2

x = 171.5m

hence their separation 1.00 s after the second object is released is 171.5m

What does the law of conservation of energy state? *

1. Total energy before transfer is equal to total energy after transfer

2. Total energy before transfer is less than total energy after transfer

3. Total energy before transfer is more than total energy after transfer​

Answers

Answer:

total energy before transfer is equal to total energy after transfer

Answer:

1 is the correct one Answer

What is the distance of separation between objects of masses 5.6 x 10 5 kg and 8.8 x 10 6 kg if the force of gravity between them is 440 N

Answers

Answer:

2.87m

Explanation:

Using the law of gravitation to solve this question

F = GMm/r²

G is the gravitational constant

M and m are the masses

r is the distance between the masses

Substitute the given values

G = 6.67×10^-11 m³/kgs²

M =8.8 x 10^6 kg

m = 5.6 x 10^5 kg

F =440N

400 = 6.67×10^-11×8.8 x 10^6 ×5.6 x 10^5/r²

400r² = 328.698×10

400r² = 3286.98

r² = 3286.98/400

r² = 8.21745

r = √8.21745

r = 2.87m

Hence the distance of separation is 2.87m

The distance of separation will be "0.86 m".

Given:

Mass,

[tex]m_1 = 5.6\times 10^5 \ kg[/tex][tex]m_2 = 8.8\times 10^6 \ kg[/tex]

Force,

[tex]F = 440 \ N[/tex]

As we know,

→   [tex]F = \frac{Gm_1 m_2}{r^2}[/tex]

By putting the values, we get

→ [tex]440=\frac{6.67\times 10^{-11}\times 5.6\times 10^5\times 8.8\times 10^6}{r^2}[/tex]

→   [tex]r^2 = \frac{6.67\times 5.6\times 8.8}{440}[/tex]

→   [tex]r^2 = 0.74704[/tex]

→     [tex]r = \sqrt{0.74704}[/tex]

→        [tex]= 0.86 \ m[/tex]

Thus above approach is correct.        

Learn more:

https://brainly.com/question/16255110

A 1250-kg car moves at 20.0 m/s. How much work must be done on the car to increase its speed to 30.0 m/s.

Answers

Answer:

312,497.5Joules

Explanation:

Work done = force × distance

W = FS

Get the force

F = ma

F = 1250×9.8

F = 12250N

Get the distances using the equation of motion

v² = u² +2gS

30² =20²+2(9.8)S

900 =400+19.6S

900-400 =19.6S

500 = 19.6S

S = 500/19.6

S = 25.51m

Get the work done

Work done = 12250×25.51

Workdone = 312,497.5Joules

Answer:

3.13 x 10^5 J

Explanation:

The work done increases the car's kinetic energy so that its new speed is 30 m/s. So, we set t, the net work required to increase the car's speed equal to the change in the car's kinetic energy.

Wnet = △K = Kf - Ki = 1/2mvf^2 - 1/2mvi^2 = 1/2m(vf^2-vi^2) = 1/2(1250kg)((30m/s)^2 - (20m/s)^2) = 3.13x10^5 J

A 105 kg football player runs at 8.5 m/s and plows into the back of an 85 kg referee running at 3.5 m/s on the field causing the referee to fly forward at 6.0 m/s.
What must the momentum of the football player be after the collision?

Answers

Answer:

680 Kg.m/s

Explanation:

Mass of player; m_p = 105 kg.

Speed of player before Collision; v_pi = 8.5 m/s

Mass of referee; m_r = 85 kg

Speed of referee before collision; v_ri = 3.5 m/s

Speed of referee after collision; v_rf = 6 m/s

From conservation of momentum,

Initial momentum = final momentum

Thus;

(m_p × v_pi) + (m_r × v_ri) = (m_p × v_pf) + (m_r × v_rf)

Where (m_p × v_pf) is the momentum of the player after collision.

Thus, Plugging in the relevant values, we have;

(105 × 8.5) + (85 × 3.5) = (m_p × v_pf) + (85 × 6)

(m_p × v_pf) = (105 × 8.5) + (85 × 3.5) - (85 × 6)

(m_p × v_pf) = 680 Kg.m/s

An object moves with a positive acceleration. Could the object be moving with increasing speed, decreasing speed or constant speed

Answers

Answer:

Increasing speed.

Explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

In this scenario, an object moves with a positive acceleration. Thus, the object is moving with an increasing speed and as such it has acceleration in the same direction as its velocity with respect to time.

Two point charges, Q1 and Q2, are separated by a distance R. If the magnitudes of both charges are tripled and their separation is also tripled, what happens to the magnitude of the electrostatic force that each charge exerts on the other

Answers

Answer:

The force remains the same.

Explanation:

Let the magnitude of the forces in each case be F1 and F2 respectively.

The charges are Q1 and Q2.

The distance of separation between them is R.

Hence, for F1;

F1 = KQ1Q2/R^2

For F2:

F2 = K * 3Q1 * 3Q2/(3R)^2

F2 = 9KQ1Q2/9R^2

F2 =KQ1Q2/R^2

Hence F1=F2

The force is the same in both cases!

Sam is driving along the highway towards Savannah. He travels 150 m in 3 seconds. What is his speed

Answers

Answer:

50m/s

Explanation:

Speed = distance/ time

Distance = 150m

Time = 3 secs

Therefore Speed =150/3

Speed = 50 m/s

Determine the maximum velocity and maximum acceleration of a particle which moves in simple harmonic motion with an amplitude of 0.2 in and a period of 0.1 s.

Answers

Answer:

The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.

Explanation:

The equation of motion for the position of a particle experimentating a simple harmonic motion ([tex]x(t)[/tex]), measured in inches, is described by the following expression:

[tex]x(t) = A\cdot \cos \left(\frac{2\pi\cdot t}{T} +\phi\right)[/tex] (1)

Where:

[tex]A[/tex] - Amplitude, measured in inches.

[tex]t[/tex] - Time, measured in seconds.

[tex]T[/tex] - Period, measured in seconds.

[tex]\phi[/tex] - Phase, measured in radians.

Then, we obtain the formulas for the velocity and acceleration of the particle by differentiating (1):

[tex]v(t) = -\frac{2\pi\cdot A}{T}\cdot \sin \left(\frac{2\pi\cdot t}{T}+\phi \right)[/tex] (2)

[tex]a(t) = -\left(\frac{2\pi}{T} \right)^{2}\cdot A\cdot \cos \left(\frac{2\pi\cdot t}{T}+\phi \right)[/tex] (3)

From (2) and (3) we find that maximum velocity ([tex]v_{max}[/tex]), measured in inches per second, and maximum acceleration ([tex]a_{max}[/tex]), measured in inches per square second, are defined by the following formulas:

[tex]v_{max} = \frac{2\pi\cdot A}{T}[/tex] (4)

[tex]a_{max} = \left(\frac{2\pi}{T} \right)^{2}\cdot A[/tex] (5)

If we know that [tex]A = 0.2\,in[/tex] and [tex]T = 0.1\,s[/tex], then the maximum velocity and maximum acceleration of the particle are, respectively:

[tex]v_{max} = \frac{2\pi\cdot (0.2\,in)}{0.1\,s}[/tex]

[tex]v_{max} \approx 12.566\,\frac{in}{s}[/tex]

[tex]a_{max} = \left(\frac{2\pi}{0.1\,s} \right)^{2}\cdot (0.2\,in)[/tex]

[tex]a_{max} \approx 789.568\,\frac{in}{s^{2}}[/tex]

The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.

When an object executes a to and fro motion is said to be a simple harmonic motion. The maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568  in/s².

What is simple harmonic motion?

When an object executes a to and fro motion in the definite plane when it is tied with the string. The type of motion will be the simple harmonic motion.

Simple harmonic motion is a form of periodic motion in mechanics and physics in which the restoring force on the moving item is directly proportional to the size of the object.

The value of maximum velocity is given by the formula in the SHM motion is

[tex]\rm V_{max = \frac{2\pi A}{T}[/tex]

[tex]\rm V_{max} = \frac{2\times 3.14 \times 0.2 }{0.1}[/tex]

[tex]\rm V_{max = 12.566 \;in/sec[/tex]

The value of maximum acceleration is given by the formula in the SHM motion is

[tex]\rm a_{max}=(\frac{2\pi}{T} )^2.A\\\\ \rm a_{max}=(\frac{2\times 3.14 }{0.1} )^2 \times 0.2 \\\\ \rm a_{max}=789.568\; in/sec^2[/tex]

Hence the maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568  in/s²

To learn more about the simple harmonic motion refer to thr link;

https://brainly.com/question/17315536

g Observer A, who is at rest in the laboratory, is studying a particle that is moving through the laboratory at a speed of 0.624c and determines its lifetime to be 159 ns. (a) Observer A places markers in the laboratory at the locations where the particle is produced and where it decays. How far apart are those markers in the laboratory

Answers

Answer:

[tex]D=29.7648m[/tex]

Explanation:

From the question we are told that

Speed of the particle[tex]V=0.624c[/tex]

Lifetime [tex]t=159ns[/tex]

Generally the equation for distance is mathematically given by

[tex]D=Vt[/tex]

[tex]D=0.624c*159*10^-^9[/tex]

[tex]D=0.624*3*10^8*159*10^-^9[/tex]

[tex]D=29.7648m[/tex]

Therefore the markers are [tex]D=29.7648m[/tex] apart

During an automobile crash test, the average force exerted by a solid wall on a 1,700 kg car that hits the wall is measured to be 170,000 N over a 0.14 s time interval. What was the initial speed of the car (in m/s) prior to the collision, assuming the car is at rest at the end of the time interval

Answers

Answer:

14 m/s

Explanation:

Step One:

Given data:

mass of automobile m= 1700kg

Force F= 170,000 N

time t= 0.14s

v= ??

Required

The velocity of the car

Step two:

From the expression given below, we can find the velocity

Ft= mv

make v subject of the formula

v= Ft/m

v= 170000*0.14/1700

v=23800/1700

v=14 m/s

(Are these statements about the spring constant true or
false?
a. The spring constant is a measure of the stiffness of
the spring.
b. The spring constant tells you how many newtons of
force it takes to stretch the spring one meter.
c. If a spring stretches easily, it will have a high spring
constant.
d. The spring constant of a spring varies with the
amount of stretch or compression of the spring.

Answers

Answer:

true

true

false

true

pls follow me and thank you

prove principle of conversation of linear momentum in accordance to principle of classical relativity ​

Answers

Answer:

Cuz im batman hahahhahah

Conservation of linear momentum, general law of physics according to which the quantity called momentum that characterizes motion never changes in an isolated collection of objects; that is, the total momentum of a system remains constant. Momentum is equal to the mass of an object multiplied by its velocity and is equivalent to the force required to bring the object to a stop in a unit length of time. For any array of several objects, the total momentum is the sum of the individual momenta. There is a peculiarity, however, in that momentum is a vector, involving both the direction and the magnitude of motion, so that the momenta of objects going in opposite directions can cancel to yield an overall sum of zero.

An electron traverses a vacuum tube with a length of 2 m in 2 X 10- 4
sec. What is the average speed of the
electron during this time?

Answers

Answer:

Average speed = 10,000 m/s

Explanation:

Given the following data;

Distance = 2m

Time = 0.0002secs

To find the average speed;

Average speed = distance/time

Average speed = 2/0.0002

Average speed = 10,000 m/s

Therefore, the average speed of the

electron is 10,000 meters per seconds.

what do you already know about asexual and sexual reproduction?

Answers

Answer:

Explanation:

Sexual reproduction is when a male and female have sexual inter course an and produce sex cells. A males sex cell is the sperm and the Females sex cell is the ova or egg cells.

A speedboat moving at 29.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.4 m/s2 by reducing the throttle. (a) How long does it take the boat to reach the buoy

Answers

Answer:

[tex]t =4.8sec[/tex]

Explanation:

From the question we are told that

Velocity of speed boat [tex]V=29.0m/s[/tex]

Distance to Marker [tex]d=100[/tex]

Acceleration of [tex]a=-3.4m/s^2[/tex]

Generally the Newtons 3rd motion equation is given as

 [tex]v^2 = u^2 + 2 * a* s[/tex]

 [tex]v^2 = 29^2 + 2 * -3.4* 100[/tex]

 [tex]v = \sqrt{161}[/tex]

 [tex]v=12.68m/s[/tex]

Generally the Newton's first equation of motion is given as

 [tex]v = u + a*t[/tex]

 [tex]12.68 = 29 -3.4*t[/tex]

 [tex]12.68-29 = -3.4t[/tex]

 [tex]-16.32 = -3.4t[/tex]

 [tex]t =\frac{-16.32}{-3.4}[/tex]

 [tex]t =4.8sec[/tex] .

An electric heater is 90% efficient. How much useful energy is produced from 8000 J?

Answers

Answer:

7200J

Explanation:

you have to find 90 percent of 8000 J to find total efficiency

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