If such a particle is moving, with respect to the laboratory, with a speed of 0.950 c , what average lifetime is measured in the laboratory?

Answers

Answer 1

Complete Question

The positive [tex]muon (^+)[/tex], an unstable particle, lives on average [tex]2.20 * 10^{-6}\ s[/tex]  (measured in its own frame of reference) before decaying.

If such a particle is moving, with respect to the laboratory, with a speed of 0.950 c , what average lifetime is measured in the laboratory?

Answer:

The value is  [tex]\Delat  t  =  7.046 *10^{-6} \  s[/tex]

Explanation:

From the question we are told that

   The the average live time of  [tex]muon (^+)[/tex] is  [tex]\Delta t_o  =  2.20 *10^{-6} \  s[/tex]

    The speed of of [tex]muon (^+)[/tex]  in the laboratory is  [tex]v  =  0.950 c[/tex]

   

Generally the average life time of the positive [tex]muon (^+)[/tex] measured in the laboratory  is mathematically represented as

 [tex]\Delat  t  =  \frac{\Delta t_o }{ \sqrt{1 - \frac{v^2}{c^2} } }[/tex]

 [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - \frac{(0.950 c)^2}{c^2} } }[/tex]

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - \frac{0.9025 c^2}{c^2} } }[/tex]  

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - 0.9025  } }[/tex]

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{ 0.0975  } }[/tex]

     [tex]\Delat  t  =  7.046 *10^{-6} \  s[/tex]


Related Questions

True or false- Lightning, sound, and thermal are three types of energy.

Answers

Answer:

It is true but there are more types of energy

Someone is spinning a basketball on his finger. If it is spinning at a rate of 8.92 times per second, what is the basketball's angular velocity in units of radians per second?

Answers

Answer:

angular velocity = 56.04 rad/s.

Explanation:

It is given that,

The baseball is spinning at the rate of 8.92 times per second.

We need to find the basketball's angular velocity in units of radians per second.

Here, frequency of the baseball is 8.92 Hz.

We know that Angular velocity is given by :

[tex]\omega=2\pi f\\\\\omega=2\pi \times 8.92 \\\\\omega=56.04\ rad/s[/tex]

So, the angular velocity of the basketball is 56.04 rad/s.

How did equity in the 2008 crisis?

Answers

Answer:

While the causes of the bubble are disputed, the precipitating factor for the Financial Crisis of 2007–2008 was the bursting of the United States housing bubble and the subsequent subprime mortgage crisis, which occurred due to a high default rate and resulting foreclosures of mortgage loans, particularly adjustable. Hope this helps!

Explanation:

sketch the graphs of intensity against wavelength for a black body radiations at temperatures 100k and 200k on the same axis​

Answers

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Black body radiation is a term used to describe radiation emitted by a hypothetical entity that completely absorbs all incident radiation. Black body radiation at temperatures of 100K and 200K on the same axis will exhibit a peak intensity at different wavelengths, with the 200K curve shifted to the left compared to the 100K curve.

What is Black body radiation?

The electromagnetic radiation that a perfect black body (an object that absorbs all radiation falling on it and emits radiation at all frequencies) emits is known as black body radiation. It is a physics theoretical idea that explains how temperature and electromagnetic radiation are related.

Both the wavelength of the radiation and the temperature of the object affect how intense the radiation is. Planck's radiation law explains the relationship between intensity and wavelength.

The maximum intensity of radiation occurs in the infrared region at low temperatures at long wavelengths, such as 100K. When the temperature reaches 200K, the peak intensity shifts to shorter wavelengths in the visible range.

Therefore, Black body radiation at temperatures of 100K and 200K on the same axis will exhibit a peak intensity at different wavelengths, with the 200K curve shifted to the left compared to the 100K curve.

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Why do mirrors form inverted images?

Answers

Answer:

Explanation:

The image is real light rays actually focus at the image location). As the object moves towards the mirror the image location moves further away from the mirror and the image size grows (but the image is still inverted).

Answer: Reflection from a Concave Mirror
When the object is far from the mirror, the image is inverted and at the focal point. The image is real light rays actually focus at the image location). ... As the object moves towards the mirror inside the focal point the image becomes virtual and upright behind the mirror.

A net force of 500 newtons causes
an object to accelerate at a rate of
5.0 m/s2. What is the mass of the
object?

A - 100 kg
B - .20kg
C - 600 kg
D - 2500 kg

Answers

Answer:

The answer is option A

Explanation:

To find the mass of an object given it's acceleration and the force acting on it we use the formula

[tex]mass = \frac{force}{acceleration} \\ [/tex]

From the question

force = 500 N

acceleration = 5.0 m/s²

We have

[tex]mass = \frac{500}{5} \\ [/tex]

We have the final answer as

100 kg

Hope this helps you

When two objects collide and stick together, what will happen to their speed, assuming momentum is conserved?

Answers

The correct answer is that when two objects collide and stick together, BOTH objects will change speed.
If they are moving in the same direction, the faster moving object will slow down and the slower moving object will speed up.
If they are moving in opposite directions the faster will slow down and the slower one will change direction.

Answer:

They will move more slowly.

Explanation:

When the two objects stick together, they can be treated like one larger mass. By increasing mass, and keeping momentum the same, velocity must decrease (a larger object moves slower if all other variables stay the same) by p = mv.

corona virus vaccine​

Answers

Answer:

BIOFLU TABLET

Explanation:

PAG MAY LAGNAT UBO IBIOFLU NAYAN

Answer:

Antibodies are the answer.

Explanation:

Many companies are adding antibodies to ring a bell in the cells to tell the white blood cells to be able to notice the Corona Virus in the blood stream.

Which electromagnetic wave is used in dental scans?

Answers

Answer:

X-rays are most often used to examine bones and teeth.

Hope this helps!

The acceleration of an object is ____________________ related to the net force exerted upon it and _____________________ related to the mass of the object. In equation form: a = Fnet / m.
a. directly, inversely b. inversely, directly c. directly, directly d. inversely, inversely

Answers

Answer:

b

Explanation:

I took this unit last year and i think b is the right answer

Acceleration of an object is directly related to the net force exerted upon it and inversely related to the mass of the object.

Newton's second law of motion states that the acceleration of an object as produced by a net force, is directly proportional to the magnitude of the net force, and inversely proportional to the mass of the object.

From this law, it means that once the acceleration is doubled, the force exerted on the object is equally doubled.

Also when the mass is increased, the acceleration is reduced.

Therefore, mathematically:

F =ma

where, f = force

m = mass

a= acceleration

Therefore, acceleration of an object is directly related to the net force exerted upon it and inversely related to the mass of the object.

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A small mailbag is released from a helicopter that is rising\ steadily at 2.32 m/s.
(a) After 5.00 s, what is the speed of the mailbag?
(b) How far is it below the helicopter?
(c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 2.32 m/s?

Answers

Given parameters:

Velocity of the helicopter  = 2.32m/s

Time given  = 5.00s

Unknown:

a. Speed of the mailbag after 5s

b. How far is the mail bag below the helicopter

Solution:

In this problem, we must apply the appropriate motion equation to solve.

For a;

               v  = u + gt  

 v is the velocity of the mail bag

 u is the initial velocity

 g is the acceleration due to gravity

  t is the time taken

         Notice that the initial velocity of the mail bag is 0;

         V  = 0 + 9.8 x 5 = 49m/s

For b;

  Using;

                    h = ut + [tex]\frac{1}{2}[/tex] gt²

   where u is 0;

                  h  = [tex]\frac{1}{2}[/tex] x 9.8 x 5²  = 122.5m

Consider the data table charting the speed of a toy car moving across the floor. The line graph representing this data would BEST be described as a?
A) Curved line with varying slope
B) Diagonal line with a slope of 3
C) Horizontal line with a slope of 3
D) Diagonal line with varying slope, from 3 to 4​

Answers

Answer:

The answer is D) diagonal line with varying slope, from 3 to 5 on USATestprep

Explanation:

True or false:
A small wire can conduct an infinite amount of current.

Answers

Answer:

True

Explanation:

Answer: very true

Explanation:

You do 32 joules of work using a pair of scissors. The scissors do 25 joules of
work cutting a piece of fabric. What is the efficiency of the scissors?

Answers

Answer:

Efficiency = 65%

Explanation:

The formula of Efficiency applied to any circumstance is:

Efficiency = Useful Energy / Energy applied

Then replacing the values given its:

Efficiency = 25 J / 32 J

Efficiency = 0.65

0.65 written as percentage is 65%, then:

Efficiency = 65%

As you do 32 joules of work using a pair of scissors and the scissors do 25 joules of work cutting a piece of fabric, the efficiency of the scissors is 78.125%.

What is efficiency?

Efficiency is the proportion of work done by a machine or throughout a process to the overall amount of energy or heat used.

The ratio of usable output to total input can be used to objectively measure efficiency. The efficiency of the device is defined as the ratio of energy converted to a useable form to the original amount of energy supplied.

Mathematically,

efficiency of a machine = (work output/work input)×100%

Given parameters:

Input work to the pair of scissors= 32 joules.

Output work from the pair of scissors= 25 joules.

Hence,

The efficiency of a machine = (work output/work input)×100%

= ( 25 joule/32joule)×100%

= 78.125%

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Part 2: Vertical Distance
1
do
2.942
d, = vertical distance
g = acceleration due to gravity (10m/s2)
t = time
How high was a brick dropped from if it falls in 2.5 seconds?
2.5 m
Ob
12.5 m
25 m
с
Od
31.25 m

Answers

Answer:

31.25m

Explanation:

Given parameters:

   Acceleration due to gravity  = 10m/s²

    Time of drop = 2.5s

Unknown

Height of drop  = ?

Solution:

To solve this problem, we must note that the brick was originally at rest. The appropriate motion equation to solve this is shown below;

          H  = ut + [tex]\frac{1}{2}[/tex]gt²

H is the height

u is the initial velocity

g is the acceleration due to gravity

t is the time taken

          Input the parameters and solve;

      H = 0 +  [tex]\frac{1}{2}[/tex] x 10 x 2.5²

     H = 31.25m

What is the mass of a 5 kg bag of flour on the moon?

Answers

Answer:

mass = 5 [kg]

Explanation:

The difference between weight and mass should be clarified, the weight is equal to the product of the mass by the gravity of the place. While the mass will always be conserved regardless of the place, it will never change.

weight = mass * gravity of the place

}Therefore the mass is the same in the earth as in the moon

Which of the following is NOT an example of radiant energy?
оа
Ob
Sun
Glowstick
Bicycle
Lamp

Answers

Answer:

Bicycle

Explanation:

The Bicycle uses the reflection from the sun or moon to cast light off of its red rear. does not produce own radiant energy

what is an example of an involuntary muscle?

Answers

Answer:

the cardiac muscle is an example

Answer:

your heart

Explanation:

it keeps beating all day and all night

Why is the sunlight not deflected when passes through either an electric field or a magnetic field?

Answers

In a magnetic field, it would require the thing that passes through it to have all their electrons paired up for it to be unaffected or repulsed. And if there is an empty orbital or an unpaired electron, it’ll be attracted. Sunlight can’t have these properties, it has no charge or mass

Eating chocolates cause pimples?
I need hypotheses answer

Answers

Too much chocolate can cause acne.

Answer:

Yes, eating chocolate causes pimples.. usually on your forehead

Explanation:

Chocolate may increase the severity and frequency of acne breakouts by encouraging the immune system to react more aggressively to the two bacteria that cause acne, aka pimples  [found this image on internet]

7. Which of the following statements concerning a short in a series circuit is true?
O A. A short causes the circuit voltage to increase.
B. A short circuit will draw less current than a properly functioning one.
C. A short circuit is similar to adding another resistor to the circuit.
D. Little or no current will flow through the circuit beyond the point of the short.

Answers

Answer:

A circuit that has little or no resistance

Explanation:

Apex

Little or no current will flow through the circuit beyond the point of the short  a short in a series circuit .

What is a short in a series circuit?

Simply said, a short circuit is a connection with low resistance between the two conductors delivering electricity to any circuit. This leads to an excessive current flow via the "short" in the power source and may potentially result in the power source being destroyed.

When there is a short in a series circuit, the current rises over its typical level. When a component is shorted, the voltage drop across it drops to 0V, while the voltage drop across the intact component rises.

In a series circuit, if there was a short circuit, one of the components would blow up and the circuit, or all the components, would cease to function. All of the lights would consequently go off. That would account for a blackout even if one component had a short circuit.

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Which phrase best describes the path of a light wave
A: parallel to the source
B:Perpendicular to the source
C:Straight away from the source
D:Spiraling around the force

Answers

Answer:

C

Explanation:

Straight away from the source

Answer:c

Explanation:

Straight away from the source

How does Newton’s second law apply to golf

Answers

Answer:  Newton's Second Law of Motion is proven through the way the golf ball flies through the air. Newton's law states that the net force of an object (Fnet) is equivalent to the object's mass (m) multiplied by the object's acceleration (a). In other words, Fnet = ma.

Explanation: Vote me brainliest ;D

In a totally inelastic collision between two equal masses, with one initially at rest, what fraction of the initial kinetic energy is lost

Answers

Answer:

50%

Explanation:

Assuming no external forces acting during the collision, total momentum must be conserved.As one of the mass was initially at rest, the initial momentum can be written as follows:

       [tex]p_{o} = m* v_{1o} (1)[/tex]

If the collision is totally inelastic, both masses must move as one after the collision, so we can write the following equation:[tex]p_{f} = (m+m)* v_{f} = 2*m*v_{f}[/tex] (2)As po = pf, we can solve for vf  in terms of v1o, as follows:

       [tex]v_{f} =\frac{v_{1o}}{2}[/tex]

The initial kinetic energy will be:

       [tex]K_{1o} =\frac{1}{2} * m *v_{1o}^{2} (1)[/tex]

The final kinetic energy of both masses will be as follows:

       [tex]K_{f} =\frac{1}{2} * 2*m *(\frac{v_{1o}}{2}) ^{2} (2)[/tex]

Rearranging in (2) we get:

       [tex]K_{f} =\frac{1}{2} *m *v_{1o} ^{2} *\frac{1}{2} = \frac{K_{1o} }{2}[/tex]

So, the fraction of the initial kinetic energy lost is just the half of the initial value.

Lithium can be found in?

Answers

Answer:

Lithium does not occur as the metal in nature. Is found combined in small amounts in nearly all igneous rocks and in the waters of many mineral springs. Spodumene, petalite, lepidolite, and amblygonite are the more important minerals containing lithium.

Lithium can be found in Lithium-ion batteries, some heat-resistant glass and ceramics, some grease lubricants, and some anti-depressant medications.

A barometer accidentally contains 6.5 inches of water on top of the mercury column (so there is also water vapor instead of a vacuum at the top of the barometer). On a day when the temperature is 70oF, the mercury column height is 28.35 inches (corrected for thermal expansion). (a) Determine the barometric pressure in psia. If the ambient temperature increased to 85oF and the barometric pressure did not change, (b) would the mercury column be longer, be shorter, or remain the same length

Answers

Answer:

(a). 14.4 lbf/in^2.

(b). 27.8 in, AS THE TEMPERATURE INCREASES, THE LENGTH OF MERCURY DECREASES.

Explanation:

So, from the question above we are given the following parameters which are going to help us in solving this particular Question;

=> The "barometer accidentally contains 6.5 inches of water on top of the mercury column (so there is also water vapor instead of a vacuum at the top of the barometer)"

=> "On a day when the temperature is 70oF, the mercury column height is 28.35 inches (corrected for thermal expansion)."

With these knowledge, let us delve right into the solution;

(a). The barometric pressure = water vapor pressure + acceleration due to gravity (ft/s^2) × water density(slug/ft^3) × {ft/12 in}^3 × [ height of mercury column + specific gravity of mercury × height of water column].

The barometric pressure= 0.363 + {(62.146) ÷ (12^3) × 390.6425}. = 14.4 lbf/in^2.

(b). { (13.55 × length of mercury) + 6.5 } × (62.15÷ 12^3) = 14.4 - 0.603.

Length of mercury = 27.8 in.

AS THE TEMPERATURE INCREASES, THE LENGTH OF MERCURY DECREASES.

Blowing into a flute can produce a sound because
A. light energy is transformed into sound energy
B. the flute warms the air
C. air expands in the flute
D. air in the flute vibrates

Answers

Answer:

Choice D

Explanation:

air in the flute causes vibrations which makes sound.

*
An accurate description of a thing or an event.
Opinion
Inference
Hypothesis
Observation

Answers

Answer:

opinion

Explanation:

why does psychics need a electrical current

Answers

Answer:

Because Electrical Current is the most important thing about psychics

Explanation:

;p

The Apollo Lunar Module was used to make the transition from the spacecraft to the Moon's surface and back. Consider a similar module for landing on the surface of Mars. Use conservation of mechanical energy to answer these questions. (a) As the lander is descending, if the pilot decides to shut down the engine when the lander is at a height of 1.8 m, (this may not be a safe height to shut down the engine) and the velocity of the lander (relative to the surface of the planet) is 1.2 m/s what will be velocity of the lander at impact

Answers

Answer:

v=6.05 m/s

Explanation:

Given that,

Th initial velocity of the lander, u = 1.2 m/s

The lander is at a height of 1.8 m, d = 1.8 m

We need to find the velocity of the lander at impact. It is a concept based on the conservation of mechanical energy. So,

[tex]\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2=W\\\\\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2=F\times d\\\\\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2=mgd\\\\\dfrac{1}{2}m(v^2-u^2)=mgd\\\\v^2-u^2=2gd[/tex]

v is the velocity of the lander at the impact

g is the acceleration due to gravity on the surface of Mars, which is 0.4 times that on the surface of the Earth, g = 0.4 × 9.8 = 3.92 m/s²

So,

[tex]v=\sqrt{u^2+2gd} \\\\v=\sqrt{(1.2)^2+2\times 9.8\times 1.8} \\\\v=6.05\ m/s[/tex]

So, the velocity of the lander at the impact is 6.05 m/s.

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