A girl weighing 600 N steps on a bathroom scale that contains a stiff spring. In equilibrium, the spring is compressed 1.0 cm under her weight. Find the spring constant and the total work done on it during the compression.

Answers

Answer 1
Answer:

Answer:

The spring constant is 60,000 N

The total work done on it during the compression is 3 J

Explanation:

Given;

weight of the girl, W = 600 N

compression of the spring, x = 1 cm = 0.01 m

To determine the spring constant, we apply hook's law;

F = kx

where;

F is applied force or weight on the spring

k is the spring constant

x is the compression of the spring

k = F / x

k = 600 / 0.01

k = 60,000 N

The total work done on the spring = elastic potential energy of the spring, U;

U = ¹/₂kx²

U = ¹/₂(60000)(0.01)²

U = 3 J

Thus, the total work done on it during the compression is 3 J


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Ultraviolet light is typically divided into three categories. UV-A, with wavelengths between 400 nm and 320 nm, has been linked with malignant melanomas. UV-B radiation, which is the primary cause of sunburn and other skin cancers, has wavelengths between 320 nm and 280 nm. Finally, the region known as UV-C extends to wavelengths of 100 nm. (a) Find the range of frequencies for UV-B radiation. (b) In which of these three categories does radiation with a frequency of 7.9 * 1014 Hz belong

A white blood cell has a diameter of approximately 12 micrometers or 0.012 um a model represents its diameter as 24 um what ratio of model size

Answers

Answer:

The ratio of the model size is 1 : 2000

Explanation:

Given

Real Diameter =  0.012 um

Scale Diameter =  24 um

Required

Determine the scale ratio

The scale ratio is calculated as follows;

Scale = (Real\ Measurement)/(Scale\ Measurement)

Substitute values for real and scale measurements

Scale = (0.012\ um)/(24\ um)

Divide the numerator and the denominator by 0012um

Scale = (1)/(2000)

Represent as ratio

Scale = 1 : 2000

Hence, the ratio of the model size is 1 : 2000

The ratio of the model size to the actual size is 1 : 2000. This means the model represents the white blood cell's diameter 2000 times larger than its actual size.

The ratio of the model size to the actual size can be calculated using the given measurements:

Actual Diameter = 0.012 um

Model Diameter = 24 um

Ratio = Model Diameter / Actual Diameter

Ratio = 24 um / 0.012 um

Ratio = 2000

So, the ratio of the model size to the actual size is 1 : 2000. This means the model represents the white blood cell's diameter 2000 times larger than its actual size.

Learn more about white blood from the link given below.

brainly.com/question/30712922

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You know that you sound better when you sing in the shower. This has to do with the amplification of frequencies that correspond to the standing-wave resonances of the shower enclosure. A shower enclosure is created by adding glass doors and tile walls to a standard bathtub, so the enclosure has the dimensions of a standard tub, 0.75 m wide and 1.5 m long. Standing sound waves can be set up along either axis of the enclosure. What are the lowest two frequencies that correspond to resonances on each axis of the shower? These frequencies will be especially amplified. Assume a sound speed of 343 m/s.

Answers

Answer: Length axis f= 114.3 Hz, Width axis f=228.67 Hz

Explanation:

We are given that,

Length of tub= 1.5 m

Width of tub= 0.75 m

Sound speed= 343 m/s

Now, we are also given shower is closed.

So, frequency is given as:

f= m* (v)/(2L)

For length axis

Put v= 343 m/s, m=1 and L=1.5 m

f= 1 * (343)/(2*1.5)

f= 114.3 Hz

For next resonant frequency, m=2

f= 2* (343)/(2*1.5)

f= 228.67

For width axis

Put v= 343 m/s, m=1 and L= 0.75 m

f= 1* (343)/(2*0.75)

f= 228.67 Hz

For next frequency, m=2

f= 2* (343)/(2*0.75)

f= 457.34 Hz

Which of the following statements correctly compares the relationship between the earth, its atmosphere and radiation?1. The earth is cooled and its atmosphere is heated by solar radiation.

2. The earth is heated and its atmosphere is cooled by terrestrial radiation.

3. The earth is cooled and its atmosphere is heated by terrestrial radiation.

4. The earth is heated and its atmosphere is cooled by solar radiation.

Don't answer unless you know for sure. Thank you so much!

Answers

Answer: The option 4 is correct answer.

Explanation:

Terrestrial radiation is a long wave electromagnetic radiation. It originates from the earth and its atmosphere.

The sun emits a huge amount of energy. It travels across the space. The atmosphere is not directly heated by the solar radiation. It is heated by the terrestrial radiation that the planet itself emits.

When the land is heated then it emits radiation which heats up the atmosphere.

The earth is cooled and its atmosphere is heated by terrestrial radiation.

Therefore, the relationship between the earth, its atmosphere and radiation is correctly compared by statement 4.

The earth is cooled and its atmosphere is heated by terrestrial radiation.

A rock is thrown vertically upward with a speed of 14.0 m/sm/s from the roof of a building that is 70.0 mm above the ground. Assume free fall.A) In how many seconds after being thrown does the rock strike the ground? B) What is the speed of the rock just before it strikes the ground?

Answers

Answer:

(A). The time is 5.47 sec.

(B). The speed of the rock just before it strikes the ground is 39.59 m/s.

Explanation:

Given that,

Initial velocity = 14.0 m/s

Height = 70.0 m

(A). We need to calculate the time

Using second equation of motion

s=ut+(1)/(2)gt^2

Put the value into the formula

70=-14* t+(1)/(2)*9.8* t^2

4.9t^2-14t-70=0

t =5.47\ sec

(B). We need to calculate the speed of the rock just before it strikes the ground

Using third equation of motion

v^2=u^2+2gs

Put the value into the formula

v^2=(14)^2+2*9.8*70

v^2=1568

v=√(1568)

v=39.59\ m/s

Hence, (A). The time is 5.47 sec.

(B). The speed of the rock just before it strikes the ground is 39.59 m/s.

a person sitting in a parked car hears an approaching ambulance siren at a frequency f1. as it passes him and moves away, he hears a frequency f2. the actual frequency f of the source is (which one of the following)a. f > f1b. f < f2c.f= f2 - f1d. f = f2 + f1e. f2 < f < f1

Answers

Answer:

e. f2 < f < f1

Explanation:

According to Doppler's Effect:

(f_o)/(f_s) =(S+v_o)/(S-v_s) ......................................(1)

where:

f_o\ \&\ f_s are observed frequency and source frequency respectively.

S = velocity of sound in the air from a stationary source

v_o\ \&\ v_s are the velocity of the observer and the velocity of sound source with respect to a stationary frame of reference.

  • When the ambulance approaches a stationary observer

Here v_o=0\

Then eq. (1) becomes:

(f)/(f1) =(S)/(S-v_s)

Now, the value:

(f1)/(f) =(S)/(S-v_s)>1

\therefore f<f1

  • Now according to the given condition the source is moving away from the observer i.e. the velocity of the source is opposite to the velocity of sound with respect to the stationary observer.

Now the eq. (1) becomes

(f2)/(f) =(S)/(S-(-v_s))

∵the direction of motion of the source is away from the observer so a negative sign has been introduced.

Now, the value:

(f2)/(f) =(S)/(S+v_s)<1

\therefore f>f2

A truck’s suspension spring each have a spring constant of 769 N/m. If the potential energy of the right front spring is 250 J, how far is the spring compressed?

Answers

The energy stored in the body in a rest state is called potential energy.

There are two types of mechanical energy. The mechanical energy is consist of the following:-

  • Kinetic energy
  • Potential energy

According to the question, the solution is:-

The formula we used isPE= (1)/(2)kx^(2)

After putting the value the equation is stated as follows:-

250 =(1)/(2) *769*x^(2)

Hence the x^(2) is equal to:-

x^(2) = 651\nx= 0.81m

The spring compressed in 0.81m

For more information, refer to the link:-

brainly.com/question/13784481

Answer:

x = 0.81 m

Explanation:

given,

spring constant, k = 769 N/m

Potential energy of the spring = 250 J

distance of spring compression = ?

using conservation of energy

potential energy will equal to the spring energy

PE = (1)/(2)kx^2

250= (1)/(2)* 769* x^2

   x² = 0.650

  x = 0.81 m

Hence, the spring is compressed to  0.81 m