The spaceship appears to be 38.97 meters long as measured by the mission control in Texas.
This is a problem involving length contraction, which is a consequence of Einstein's theory of special relativity. According to special relativity, an object in motion appears to be shorter in the direction of motion as measured by an observer at rest relative to the object.
The formula for length contraction is:
L' = L / γ
γ is the Lorentz factor, given by:
γ = 1 / sqrt(1 - v^2/c^2)
In this problem, the spaceship is traveling at a velocity of 0.5c relative to Earth. Therefore, the Lorentz factor is:
γ = 1 / sqrt(1 - (0.5c)^2/c^2) = 1 / sqrt(1 - 0.25) = 1.1547
The proper length of the spaceship is 45 m, as measured by the crew on the spaceship. Therefore, the observed length of the spaceship, as measured by mission control in Texas, is:
L' = L / γ = 45 m / 1.1547 = 38.97 m (rounded to two decimal places)
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It takes 3 minutes for Ann to run 800 meters without sandbags. If Ann runes 800 meters with sandbags it will take 2 more minutes. What is the speed for running with sandbags?
Ann's speed with sandbags is 400 meters in 5 minutes, or an average of 80 meters per minute.
In everyday use and in kinematics, the speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.There are four types of speed which are uniform speed, variable speed, average speed, and instantaneous speed.
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members of the phylum_______ are adapted to live in harsh environments
3. What is the frequency of a wave that has a wave speed of 80 m/s and a wavelength of 0.3 m?
Answer:
266.6 HertzExplanation:
Given :
Wavelength = 0.3 m Wave speed = 80 m/sWe need to find the frequency of the wave
Using formula:
[tex]{ \boxed{ \sf{F = \dfrac{v}{ \lambda} }}} \\ [/tex]
Where,
F is frequency,v is wave speed,λ is WavelengthOn substituting the required values, we get:
[tex] \dashrightarrow \sf \: F = \dfrac{80}{0.3} \\ \\ \dashrightarrow \sf \: F = 266.6 \: Hz[/tex]
Therefore,
Frequency of the wave is 266.6 Hertza boy whose mass is 40kg runs up a flight of 30 step each 150 mm in 60 second find the averse power develop expansion explain the anomalous of two of water
The average power developed by the boy during the climb is approximately 29.4 W.
What is power?In physics, the amount of energy transferred or converted per unit time is called power.
total height = number of steps x height of each step
total height = 30 x 0.15 m = 4.5 m
Given, time = 60 s
As power = work done / time
work done = force x distance
force = mass x gravity
mass is boy's mass (40 kg) and gravity is acceleration due to gravity (9.81 m/s²).
force = 40 kg x 9.81 m/s² = 392.4 N
The distance that the boy moves is equal to the total height that he has climbed: distance = total height = 4.5 m
work done = force x distance
work done = 392.4 N x 4.5 m = 1765.8 J
power = work done / time
power = 1765.8 J / 60 s
power ≈ 29.4 W
Therefore, the average power developed by the boy during the climb is approximately 29.4 W.
As for the anomalous behavior of water, water has a higher boiling point and melting point as compared to other substances with similar molecular weight. This is due to the strong hydrogen bonding between water molecules, which requires more energy to break the bonds and change the state of water from solid to liquid to gas.
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a narrow capillary of radius 2cm placed in a liquid was observed to rise to a height of 12cm for water and 5cm for mercury. calculate the coefficient of surface tension for water and mercury of density 1000kg/m^3 and 13,000kg/m^3 use g=9.81 m/s^2
The coefficient of surface tension of water is 29400 N/m and the coefficient of surface tension for the mercury in the capillary tube is 159412.5 N/m.
What is surface tension ?The surface tension of a liquid is the force on its surface caused by the particle - particle attraction in the surface layer by the bulk of the liquid which results in the minimization of surface area.
The equation connecting the coefficient of surface tension with radius of capillary, height and density is given as :
γ = ρ g h/2r
For water ,
ρ = 1000 kg/m³
h = 12 cm = 0.12 m
r = 2 cm = 0.02 m.
then γ = 1000 kg/m³ × 9.8 m/s² × 0.12 m/ (2 × 0.02 m)
= 29400 N/m.
For mercury,
ρ = 13000 kg/m³
h = 5 cm = 0.05m
r = 2 cm = 0.02 m.
then γ = 13000 kg/m³ × 9.8 m/s² × 0.05 m/ (2 × 0.02 m)
= 159412.5 N/m.
Therefore, the coefficient of surface tension of water is 29400 N/m and the coefficient of surface tension for the mercury in the capillary tube is 159412.5 N/m.
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A household uses the following electric appliances:
refrigerator of rating 400W for 10 hours each day.
two electric fans of rating 80 W for 6 hours daily.
Six electric tubes of rating 18 W for 6 hours daily.
Calculate the electricity bill for the household for month of June if cost of electricity energy is ₹ 3.00 per unit
The electric bill for the household for the month of June is ₹ 504.72
How do I deterrmine the electric bill for the month of june?We'll begin by obtaining the energy consumed. This is shown below:
For fridge:
Power = 400 WTime = 10 hoursEnergy for fridge =?Energy = power × time
Energy for fridge = 400 × 10
Energy for fridge = 4000 Wh
Divide by 1000 to express in KWh
Energy for fridge = 4000 / 1000
Energy for fridge = 4 kWh
For fan:
Power = 80 WTime = 6 hoursEnergy for fan =?Energy = power × time
Energy for fan = 80 × 6
Energy for fan = 480 Wh
Divide by 1000 to express in KWh
Energy for fan = 480 / 1000
Energy for fan = 0.48 kWh
Energy for 2 fans = 2 × 0.48 = 0.96 kWh
For tube:
Power = 18 WTime = 6 hoursEnergy for tube =?Energy = power × time
Energy for tube = 18 × 6
Energy for tube = 108 Wh
Divide by 1000 to express in KWh
Energy for tube = 108 / 1000
Energy for tube = 0.108 kWh
Energy for 6 tubes = 6 × 0.108 = 0.648 kWh
Total energy consumed per day = 4 + 0.96 + 0.648 = 5.608 kWh
Total energy consumed per month = 30 × 5.608 = 168.24 kWh
Finally, we shall determine the electric bill for the month of june. Details below:
Cost per KWh = ₹ 3.00Total energy (E) = 168.24 KWhElectric bill for June =?Electric bill = energy × Cost per KWh
Electric bill for June= 168.24 × 3
Electric bill for June = ₹ 504.72
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Imagine two like charges in close contact. If one of the charges becomes oppositely charged, what happens to the electrostatic force?
The force becomes attractive
The force becomes repulsive
The force increase
The force decreases
The electrostatic force between the two charges will decrease in magnitude and become attractive.
What is Electrostatic Force?
Electrostatic force, also known as Coulombic force or Coulomb's law, is the force that exists between electrically charged particles, such as protons and electrons. The force is exerted by one charged particle on another and can be attractive or repulsive, depending on the types of charges involved.
The magnitude of the electrostatic force is directly proportional to the product of the charges on the particles and inversely proportional to the square of the distance between them. Mathematically, this can be expressed as F = k(q1q2)/r^2, where F is the electrostatic force, q1 and q2 are the charges on the particles, r is the distance between them, and k is the Coulomb constant.
If one of the like charges becomes oppositely charged, the electrostatic force between them will become attractive. .
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what happens to the ballon when you squeeze the bottle?
Answer:
When you squeeze a bottle that has a balloon attached to its opening, the pressure inside the bottle increases. This increased pressure will cause the air molecules inside the bottle to move closer together, which in turn will cause the balloon to inflate.
If you continue to squeeze the bottle, the pressure inside the bottle will continue to increase, and the balloon will continue to inflate. However, if you squeeze the bottle too hard, the balloon may burst due to the excess pressure.
When you release the pressure on the bottle, the air molecules inside the bottle will spread out again, causing the pressure to decrease. As a result, the balloon will deflate back to its original size.
1.7
Which ONE of the vector diagrams below will result in the largest resultant
vector?
(2)
Vector diagram B will result in the largest resultant vector. Correct option is B.
What is Vector ?Vector is a mathematical quantity which has both magnitude as well as direction. Force, displacement, velocity & acceleration etc. are the examples of vectors. Vectors are denoted by a standard letter and an arrow upon it.
The resultant(R) of two vectors R1 and R2 having angle θ between them are given by,
R² = R₁² + R₂² + 2R₁R₂cosθ
A) in this diagram single vector is there,
so R = R₁
B) in this diagram two vectors are in same direction with zero angle between them. (Cos0 = 1)
R² = R₁² + R₂² + 2R₁R₂
C) & D) In these diagrams two vectors are in opposite direction with zero angle between them. (Cos180 = -1)
R² = R₁² + R₂² - 2R₁R₂
Looking at B Two vectors will be added each other and give largest resultant vector.
Hence Option B is correct.
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Sound waves are emitted from the surface of the ocean and travel through the water at 1490 m/s, with a wavelength of 15m. The bottom of the ocean is 1630 m below the surface. Determine the frequency of the sound waves as they travel to the bottom of the ocean.
Sound waves are emitted from the surface of the ocean and travel through the water at 1490 m/s, with a wavelength of 15m. The frequency of the sound waves as they travel to the bottom of the ocean is 99.33Hz.
What are sound waves?The pattern of disruption brought on by energy moving away from the sound source is known as a sound wave. Longitudinal waves are those produced by sound. This indicates that the direction of energy wave propagation and the particle vibrational propagation are parallel. The atoms oscillate when they are put into vibration. A high-pressure and a low-pressure zone are created in the medium as a result of this constant back and forth action. Compressions and rarefactions, respectively, are terms used to describe these high- and low-pressure zones. The sound waves go from one medium to another as a result of these regions being transmitted to the surrounding media.
Using the formula:
v = n×λ
where,
v is the velocity of sound wave and,
λ is the wavelength.
Substituting the values and solving for frequency:
n = 99.33Hz
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Explain in terms of internal energy of the system how the evaporation of sweet cools down the body of the athlete after exercising.
The internal energy of the system how the evaporation of sweet cools down the body of the athlete after exercising are mentioned below.
What is evaporation ?
The water cycle's crucial step is evaporation. When a liquid transforms into a gas, evaporation takes place. As rain puddles "disappear" on a hot day or when wet clothing dries in the sun, it is simple to envision. The liquid water in these instances is evaporating into a gas known as water vapor rather than actually dissipating.
What is energy?
Examples and Definitions of Energy (Science) The capacity to work comes from energy. Energy types include chemical, nuclear, and electrical energy. Science and engineering both depend on the idea of energy. Here is a look at the classification of energy as well as its description and examples.
Therefore, The internal energy of the system how the evaporation of sweet cools down the body of the athlete after exercising are mentioned above.
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Recently, German engineers produced a fuel cell that can generate 4. 2 x 10^10 J of electricity in 1. 1 x 10^3 h. What potential difference would this fuel cell place across a 40. 0 W resistor?
The potential difference that this fuel cell would place across a 40.0 W resistor is 651 V.
To find the potential difference across the resistor, we can use the formula:
Power = (Potential difference)² / Resistance
First, we need to calculate the power generated by the fuel cell:
Energy generated = 4.2 x 10^10 J
Time taken = 1.1 x 10³ h
We need to convert the time taken to seconds:
1.1 x 10³ h x 3600 s/h = 3.96 x 10^6 s
Power generated = Energy generated / Time taken
= (4.2 x 10^10 J) / (3.96 x 10^6 s)
= 1.06 x 10^4 W
Now we can use the formula to find the potential difference:
Power = (Potential difference)²/ Resistance
Rearranging the formula:
Potential difference = √(Power x Resistance)
Resistance = 40.0 W
Potential difference = √(1.06 x 10^4 W x 40.0 W)
= √4.24 x 10^5 V^2
= 651 V (to three significant figures)
Therefore, it can be concluded that the potential difference is calculated to be 651 V for the fuel cell placed across a 40.0 W resistor.
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28.5 a of iron shot is added to a graduated cylinder containing 50 mL of water. The water level rises to the
53.6 mL mark, from this information, calculate the density of iron.
Answer:
Density of iron = 7.87 g/cm^3
Explanation:
Please help me I need help on this and it's due tomorrow
Answer:
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Explanation:
v I will be in the future of c DC and hi to everyone who has a few days ago I will be in the future of c DC and hi to everyone and their children of God I will be in the future of c DC and hi to everyone who has a few days ago I will be in the future of c DC and their families of the attached document and their families will get back from try to the the future can vsnydb behind f
An object starts out with a momentum of 5 kg·m/s. After a collision, it has a momentum of 25 kg·m/s in the same direction.
Which of the following parameters are consistent with the indicated change in momentum?
The parameter that is consistent with the indicated change in momentum is:
The velocity of the object increased from 1 m/s to 5 m/s.How to determine which of the following parameters are consistent with the indicated change in momentum ?First we can use the principle of conservation of momentum to determine which of the following parameters are consistent with the indicated change in momentum:
p = m * v
Where
p is the momentum m is the mass of the objectv is the velocityIf the momentum of the object increases from 5 kg·m/s to 25 kg·m/s in the same direction, then we can conclude that:
The mass of the object must have remained constant.The velocity of the object must have increased by a factor of 5.Therefore, the parameter that is consistent with the indicated change in momentum is:
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Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to _____.
Increasing the distance between an electromagnet and the compass will cause the observed effect of the compass to decrease in strength
What would the Increasing the distance between an electromagnet and the compass cause?
The strength of the magnetic field produced by an electromagnet decreases as the distance from the electromagnet increases. This means that if the distance between the electromagnet and the compass increases, the magnetic field that the compass is experiencing will weaken.
As a result, the observed effect of the compass will decrease in strength as the distance between the electromagnet and the compass increases.
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Square root of 2.56 without calculator
In Maths finding the square root of a number is the opposite of squaring a number. The square root of the square of a positive number gives the original number. The Square root of 2.56 is 1.6.
What is square root?The square root of a number can be defined as the factor which we can multiply by itself to get that number. The symbol used to represent the square root is √.
The square root of any number can be found out without using calculator by using long division method. Here the square root of 2.56 is 1.6. Divide, multiply, subtract, bring the next number and repeat. These are the steps of it.
√2.56 = 1.6
The long division method of 2.56 is attached here.
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If the temperature outside is 273 Kelvin, the temperature in degrees Celsius is 0 degrees Celsius. is this ture or false
Answer: false
Explanation: This is false the tempature of -272 celcius in 1 kelvin.
Why are sea breezes felt during the day and land breezes at night?
Answer: Unequal heating rates of land and water
Explanation: During the day the land heats up faster, the warm air over the land rises up and the cold air from the sea blows towards the land causing a sea breeze.
Plastics do not deform when bent and can be shaped into objects
Plastics are made of synthetic polymers that are non-deforming when bent or compressed, making them useful for forming into various shapes.
Synthetic polymers are derived from petroleum oil, and made by scientists and engineers. Examples of synthetic polymers include nylon, polyethylene, polyester, Teflon, and epoxy. Natural polymers occur in nature and can be extracted. They are often water-based.Synthetic polymers are sometimes referred to as “plastics”, of which the well-known ones are nylon and polyethylene. The polymers which are formed by linking monomer units, without any change of material, are known as addition polymers or also called chain-growth polymers.
Synthetic polymers are lightweight, hard to break, and last a long time. They are quite cheap to make and easy to form into shapes. One of the most common and versatile polymers is polyethylene. It is made from ethylene (also known as ethene) monomers.
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What is the frequency of a beam of light traveling through a
vacuum with a wavelength of 5 x 104m? The speed of light in a
vacuum is 3.00 × 108 m/s.
the answer I got was 6000Hz
Determine the tension developed in cable ab for equilibrium of the 440- lb crate. (figure 1) express your answer to two significant figures and include the appropriate units
The tension developed in cable AB for the equilibrium of the 440-lb crate is approximately 1606 lb (to two significant figures). The units are pounds (lb).
To determine the tension developed in cable AB for the equilibrium of the 440-lb crate, we need to use the principle of equilibrium, which states that the net force acting on an object is zero.
Vertical component:
W = 440 lb
Tsin30 = (T/2) lb (since sin30 = 1/2)
Horizontal component:
Tcos30 = (0.866T) lb (since cos30 = √3/2 ≈ 0.866)
Since the crate is in equilibrium, the net force in the vertical direction must be zero. Therefore,
Tsin30 = W
(T/2) = 440 lb
T = 2 × 440 lb / sin30
T ≈ 1606 lb
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An object moves 9.71 meters east in 6.18 seconds. Calculate its velocity.
Answer:
hi
Explanation:
there is the answer
hope it helps
good luck
Please need help asap
Answer:
The answer is definitely A
A 70 kg hockey player is skating on ice at 6 m/s. Another hockey player of equal mass,moving at 8 m/s in the same direction, hits him from behind.They slide off together
The two hockey players move off together at a common velocity of 7 m/s after the collision.
What is principle of conservation of momentum?
According to the concept of conservation of momentum, if no outside forces are acting on a closed system, its overall momentum will remain constant. In other words, if no external forces are acting on the system, the total momentum before an event or interaction is equal to the total momentum after the event or contact.A physical quantity known as momentum is calculated by multiplying an object's mass by its velocity. As a result, the conservation of momentum states that all objects in the system have constant masses and velocities both before and after a contact.We can apply the momentum conservation concept to resolve this issue. This rule states that a closed system's total momentum is conserved both before and after a collision.
The product of an object's mass and velocity determines its momentum. As a result, we can determine each hockey player's momentum prior to the contact using the formulas below:
Momentum of the first hockey player (moving at 6 m/s): p1 = m1*v1 = 70 kg * 6 m/s = 420 kg m/sMomentum of the second hockey player (moving at 8 m/s): p2 = m2*v2 = 70 kg * 8 m/s = 560 kg m/sThe total momentum of the system before the collision is the sum of these individual momenta:
p_total = p1 + p2 = 420 kg m/s + 560 kg m/s = 980 kg m/s
The two hockey players fall off together after the collision. After the collision, their velocities are unknown to us, but we do know that their total momentum is still preserved. Hence, we can write:
p_total = (m1 + m2) * v_total
where v_total is the common velocity of the two hockey players after the collision. We can rearrange this equation to solve for v_total:
v_total = p_total / (m1 + m2)
= 980 kg m/s / (70 kg + 70 kg)
= 7 m/s
Therefore, the two hockey players move off together at a common velocity of 7 m/s after the collision.
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1 > Explain why scientists cannot watch the complete process of a star and planets forming. J
Scientists cannot watch the complete process of a star and planets forming due to dust
Basically, formation of a star takes place after the accumulation of gas and dust. which gets collapsed due to gravitation. This whole process takes millions of years until a star is formed and starts to shine like a sun. Moreover, the leftovers of from the formed star creates planets. In the whole process of formation of stars and planets the dust makes visible light difficult to see with help of our radio telescopes. Although it is possible for us observe formation of stars by radio waves.
Hence, due to dust and leftovers of stars scientists finds it difficult to see the formation of stars and planets.
Scientists use telescopes and simulations to study the formation of stars and planets because to their long time scales, distant locations, and dense dust and gas in molecular clouds.
Scientists cannot directly watch the full formation of a star and planet since these activities take place over extraordinarily long periods of time and often in faraway and opaque parts of space. In enormous molecular clouds, dense dust and gas block most electromagnetic radiation, including visible light, allowing stars and planets to form.
Time Scales: Scientists can't directly monitor every stage of star and planet formation because it takes millions of years.
Distance: Many of these creation events occur in faraway areas of our galaxy or other galaxies. With current technology, these processes are hard to see.
Obstructions: Thick clouds of dust and gas surround the regions where stars and planets develop, making it difficult for visible light and other electromagnetic waves to penetrate and provide clear observations.
Early Stages: These dense clouds hide the first collapse of material that forms protostars and protoplanetary discs.
Despite these constraints, scientists study these phenomena with infrared, radio, and X-ray telescopes. These approaches let astronomers to see infrared emissions from young stars and protoplanetary discs through dust clouds, indicating their origin. Scientists combine observations with theoretical knowledge to study star and planet formation using computer simulations and models.
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How does changing the direction of the charge (positive/negative) influence the force between the two charges?
If both charges are positive, the force will be _________; similarly, if both charges are negative, the force will be the same.
If one charge is positive and another is negative, the force will be ___________.
positive; negative
negative; positive
no change; no charge
positive; positive
negative; negative
Explanation:
If both charges are positive, the force will be positive; similarly, if both charges are negative, the force will be positive.
If one charge is positive and another is negative, the force will be negative.
The correct answer is "positive; negative". According to Coulomb's Law, the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The force is attractive if the charges are of opposite sign (one positive and one negative), and repulsive if the charges are of the same sign (both positive or both negative). Therefore, when one charge is positive and another is negative, the force between them is attractive, while when both charges are positive or both are negative, the force between them is repulsive.
Why do some foods need to be refrigerated while others can remain on the counter?
Answer:
The reason is that for the options above, bacteria can only grow most rapidly in the range of temperatures between ~ 40 °F and 140 °F and the reason foods like those have to be refrigerated is because meat can go rot pretty easily and there could have a lot of bacteria and things we do not want at all. But put meat in the fridge can slow down bacterial growth.
Explanation:
Well the answer toy your question is that, counter foods such as:
AvocadosOrangesPistachios( The only things that are on my counter RIGHT now is the shown above.
The reason is that for the options above, bacteria can only grow most rapidly in the range of temperatures between ~ 40 °F and 140 °F
So that is why some foods like fruits can stay out.
The reason why foods like:
MeatVegetablesCioppino ( Type of fish stew )The reason foods like those have to be refrigerated is because meat can go rot pretty easily and there could have a lot of bacteria and things we do not want at all. But put meat in the fridge can slow down bacterial growth.
Thus the answer to your problem is:
The reason foods like those have to be refrigerated is because meat can go rot pretty easily and there could have a lot of bacteria and things we do not want at all. But put meat in the fridge can slow down bacterial growth.
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Which of the following relation is correct?
(a) 2 3 l l 1 2 = = l3
(b) 3 2 l l 1 2 = = l3
(c) lll 1 1 = = 2 3 3
(d) l l 1 2 = = 4 3l3
pls help asap!! due in 45 mins!!
Which of the following minerals are elements found in nature? Select one or more.
1. Gold
2. Granite
3. Oxygen
4. Silver
5. Copper
6. Zinc
7. Iron