Answer:
Equation of Special Relativity
[tex]E=mc^2[/tex]
where:
E = energy (measured in Joules)m = mass (measured in kilograms)c = speed of light where [tex]c \approx 3 \times 10^8 \: \sf ms^{-1}[/tex]First, convert 4 g into kilograms as mass is measured in kg:
[tex]\implies \sf 4\:g = 0.004\:kg=4 \times 10^{-3}\:kg[/tex]
Substitute the given values into the equation and solve for E:
[tex]\begin{aligned}E & = mc^2\\\implies E & = \sf (4 \times 10^{-3}) \cdot(3 \times 10^8)^2\\& = \sf (4 \times 10^{-3}) \cdot (3^2 \times 10^{8(2)})\\& = \sf (4 \times 10^{-3}) \cdot (9 \times 10^{16})\\& = \sf 4 \cdot9 \times 10^{-3} \cdot10^{16}\\& = \sf 36 \times 10^{(-3+16)}\\& = \sf 36 \times 10^{13}\\& = \sf 3.6 \times 10^{14}\: \sf J \end{aligned}[/tex]
Use Albert Einstein's equation
E=mc²m=0.004kg
E=(0.004)(3×10⁸)²E=0.004(9×10¹⁶)E=3.6×10¹⁴JDuring the time interval from 0.0 to 10.0 s, the position vector of a car on a road is given by x(t) = a + bt + ct2, with a = 17.2 m, b = -10.1 m/s, and c = 1.10 m/s2. What is the car’s velocity as a function of time? What is the car’s average velocity during this interval?
im stuck with this :(
The car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
Average velocity of the carThe average velocity of the car is calculated as follows;
x(t) = a + bt + ct2
v = dx/dt
v(t) = b + 2ct
v(0) = -10.1 m/s + 2(1.1)(0) = -10.1 m/s
v(10) = -10.1 + 2(1.1)(10) = 11.9 m/s
Average velocityV = ¹/₂[v(0) + v(10)]
V = ¹/₂ (-10.1 + 11.9 )
V = 0.9 m/s
Thus, the car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
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After travelling 4.0 km, the train reaches its maximum speed. it continues at this constant speed on the next section of the track where the track follows a curve which is part of a circle.
state the direction of the resultant force on the train as it follows the curved path.
Answer:
toward the center of the circular curve
Explanation:
An object will follow a circular path at constant speed if and only if its net acceleration is constant and directed toward the center of the curved path.
__
The result force is directed toward the center of the circle.
_____
Additional comment
If any part of the result force is in the direction of motion, the speed will not be constant. If the center-directed force is not constant, the path will not be circular.
A bus starts from rest.if the acceleration is 2m/s square, find
i.the distance travelled
ii.the velocity after 2 seconds.
Answer:
The velocity after 2 seconds can be found through:
V = u +a*t
Where V is final velocity, u is initial velocity, a is acceleration and t is time.
V = 0 + 2* 2= 4 meters/second
The distance (s) can be found through:
V^2= u^2 +2*a* s
Where V is final velocity, u is initial velocity, a is acceleration.
4^2= 0^2 + 2 *2*s
16= 0 + 4s
s= 4 meters
Distance (s) can also be found through:
s= ut + 1/2 at^2
s= 0+ 1/2 *2*2^2= 1 *2*2
s= 4 meters
Explanation:
4. if the experiment had been repeated with frequencies 10 times lower than those in table 5.2,
what effect would that have on the experiment? (1)
If the experiment had been repeated with frequencies 10 times lower than those in table 5.2, then Vc will increase 10 times to the values given in the table.
What is frequency?It is the number of oscillations per second of the sinusoidal wave.
Vc is the voltage across the capacitor and Xc is the capacitive reactance.
Xc = - 1/2πfC
where f is the frequency and C is the capacitance of the capacitor.
If the frequency is lowered, the potential difference will increase because frequency is inversely proportional to the voltage.
Thus, Vc will increase by lowering the frequency by 10 times.
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sandra is riding a bice at 10.0 meters/second. she slows down to 2.0 meters/second in 10 seconds. her acceleration is blank meters/seconds^2
Explanation:
[tex]a = \frac{v - v _{i} }{t} [/tex]
Her intial velocity is 10
Her final velocity is 2
Time is 10 seconds.
[tex]a = \frac{2 - 10}{10} [/tex]
[tex]a = - \frac{4}{5} [/tex]
the unit of energy is a derived unit give reasons.
Answer:
ioinl
Explanation:
17. what does it mean if a personality
test is reliable?
a. a reliable test will give consistent
results over time.
b. a reliable test reveals forgotten
experiences.
c. a reliable test has strong personal
bias.
d. a reliable test accurately predicts?
your actions.
A Personality test is said to be reliable because (A). a reliable test will give consistent results over time.
Meaning of Personality testPersonality test can be defined as a test that can be used to verify or ascertain an individuals personality.
Personality test is a test that is carried out by different organizations to help to help them know the individuals in that organization and to help others know how to relate and work with them.
In conclusion, A Personality test is said to be reliable because a reliable test will give consistent results over time.
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Answer:
a.
Explanation:
Which is one factor that contributes to the formation of polar, temperate, and tropical zones?
the angle of the Sun’s rays
the direction of seasonal winds
the presence of prevailing winds
the movement of wind near a mountain
help im timed
Answer:
The angle of the Sun's rays:
At about June 21 the sun is directly overhead at about 23 deg north of the equator
On about Dec 21 the sun is directly overhead at about 23 deg south of the equator
It is this tilt 23 deg to the ecliptic (path of earth about sun) that causes the major temperature changes on earth
a student investigates the efficiency of a scale model of an electricity generating wind turbine using the equipment in figure 1.
the student changed the number of sales on the turbine and measures the power output from the turbine's generator. the air blower is supplied with 533w and has efficiency of 0.62.
when using two sails, the efficiency of turbine was 13%. calculate the power generated.
The power generated or output power of the turbine is determined as 42.96 W.
Power generated
The power generated or output power of the turbine is calculated as follows;
eff = 0utput power/1nput power x 100%
13 = 0utput power/(0.62 x 533)
0.13 = 0utput power/330.46
0utput power = 0.13 x 330.46
0utput power = 42.96 W
Thus, the power generated or output power of the turbine is determined as 42.96 W.
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How many starlink satellites are in orbit right now.
Answer:
Currently 1,915
Explanation:
I don't know if this is still exactly accurate to date, but when I answered this question, an astronomer had been tracking that many constallations
Just the answer (PLSS)
What mindset do you believe Einstein had while alive and what do you think the key component or constant action was for Einstein throughout his “miracle year”?
The miracle year for Albert Einstein was the year 1905 within which he published so many renowned papers.
When was Einstein miracle year?The miracle year for Albert Einstein was the year 1905 within which he published so many renowned papers in a short time and became very popular.
His mindset in that year was one that challenged the orthodox explanations and sought to think outside the box.
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Throughout the spring and summer, trees take nutrients
from the soil. these nutrients are spread throughout the
tree. in the autumn, some of these nutrients are lost
when the tree drops its leaves.
in a young, rapidly growing forest, scientists calculated
that 23 kilograms of a nutrient are taken up from the soil
by the trees in one year. in the autumn, the leaves that
fall contain 21 kilograms of the nutrient.
18 the trees can be considered a subsystem of the
larger ecosystem. if there are no other inputs or outputs from the trees, how much of the nutrient
is added to the tree subsystem (stored in the trees) in this year?
a. 2 kg
b. 21 kg
c. 23 kg
d. not enough information is available to determine.
(help!!!!) science
The amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.
What are plant nutrients?Plants nutrients are the mineral elements required by plants for their growth and development.
Plant nutrients are mostly obtained from the soil as well as from the atmosphere.
Based on the data provided, each tree will absorb 23 - 21 Kg nutrients = 2 kg of nutrients
18 trees will absorb 18 × 2 = 36 Kg of nutrients.
Therefore, the amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.
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The frequency of a wave does not change as it passes from one medium to another.
What will most likely happen if a light wave moves from the air into a solid?
The wavelength of the light wave will increase.
O The speed of the light wave will decrease
The wavelength of the light wave will remain the same.
O The speed of the light wave will remain the same.
Mark this and return
Save and Exit
Next
Answer:
The speed of the wave will decrease (due to a shorter wavelength after passing from air to a more dense medium)
Find the tension in the ropes shown in the figure if the supported object weighs 600N.
By Newton's second and third laws, we have the following net forces at
point A:[tex]\sum F_x = -T_1 \cos(60^\circ) + T_2 \cos(60^\circ) = 0[/tex]
[tex]\sum F_y = T_1 \sin(60^\circ) + T_2 \sin(60^\circ) - 600 \,\mathrm N = 0[/tex]
Together, these equations tell us [tex]\boxed{T_1=T_2\approx 346 \,\mathrm N}[/tex].
point B:[tex]\sum F_x = T_3 \cos(20^\circ) - T_2 \cos(60^\circ) - T_5 = 0[/tex]
[tex]\sum F_y = T_3 \sin(20^\circ) - T_2 \sin(60^\circ) = 0[/tex]
point C:[tex]\sum F_x = -T_4 \cos(20^\circ) + T_1 \cos(60^\circ) + T_5 = 0[/tex]
[tex]\sum F_y = T_4 \cos(20^\circ) - T_1 \sin(60^\circ) = 0[/tex]
Combining the horizontal force equations for points B and C and using the fact that [tex]T_1=T_2[/tex] gives
[tex](T_3 \cos(20^\circ) - T_2 \cos(60^\circ) - T_5) + (-T_4 \cos(20^\circ) + T_1 \cos(60^\circ) + T_5) = 0 + 0[/tex]
[tex]\implies (T_3 - T_4) \cos(20^\circ) = 0 \implies T_3=T_4[/tex]
Then combining the vertical force equations for B and C, we find
[tex](T_3 \sin(20^\circ) - T_2 \sin(60^\circ)) + (T_4 \sin(20^\circ) - T_1 \sin(60^\circ)) = 0 + 0[/tex]
[tex]\implies 2 T_3 \sin(20^\circ) - 2 T_1 \sin(60^\circ) \implies T_3 = \dfrac{\sin(60^\circ)}{\sin(20^\circ)} T_1[/tex]
so that [tex]\boxed{T_3 = T_4 \approx 877 \,\mathrm N}[/tex]
Lastly solve for [tex]T_5[/tex] using either horizontal force equation for B or C.
[tex]-T_4 \cos(20^\circ) + T_1 \cos(60^\circ) + T_5 = 0[/tex]
[tex]\implies T_5 = \left(\dfrac{\sin(60^\circ)}{\sin(20^\circ)} - \cos(60^\circ)\right) T_1 \implies \boxed{T_5 \approx 651\,\mathrm N}[/tex]
You are working with an existing fiber optic installation in your building. you want to know the length of each cable that runs through the walls.which tool should you use
Answer:
you will use the OTDR tool ti will very much so help
Explanation:
Shyam saw a cylindrical copper rod in his store room he realise that it can be used for various purposes it can be used as a flower ways by covering it one side face with any metal it can be used as a conductor or it can be used as a cylindrical box by covering both the side face with metal he measure the radius of the rod with 3% and length of rod with 7% error error percentage is measuring the volume of the cylinderical box is
The error percentage in measuring the volume of the cylindrical box is 6.3 x 10⁻³ %
Error percentage in measuring the volume of the cylinder
The total error percentage in measuring the volume of the cylinder is calculated as follows;
Volume of cylinder = πr²h
Volume of cylinder = π(0.03r)²(0.07h)
Volume of cylinder = (6.3 x 10⁻⁵)πr²h
Error in measuring the volume = 6.3 x 10⁻⁵ x 100% = 6.3 x 10⁻³ %
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a car takes 125 ft to brake from 60 to 0 mph. Assume that the acceleration of the Prius is constant while braking. Find how long it takes for the Prius to come to a stop. Long problems begin on the next page
Answer:
2.84 seconds
Explanation:
t = ?
distance = 125
Velocity origianal = 60 m/hr = 88 ft/s
AVERAGE velocity = 88/2 = 44 ft/s
44 t = 125
t = 125/44 = 2.84 s
can someone do this for me please?! Just the answer pls
4. The answer is that you will see the same sights as when you are resting. That is because you and mirror are in rest one relative another. If your relative speed is 0, it doesn't matter how quickly you both travel in relation to other objects.
5. The relativistic effects will not alter if the speed of light is reduced to 50m/s. According to the principle of constancy (2nd postulate), the upper limit of speed is 50m/s, which will be impossible for material objects to achieve because as the speed of light decreases, the sizes of humans and all other materials decrease as well, decreasing our relativistic velocity and thus making c=50m/s unattainable for material objects, and thus the relativistic effects will remain unchanged. A pedestrian must use caution when crossing the roadway. Let's assume you see a car arriving at 60 kilometers per hour, or 16.666 meters per second, from a distance of 100 meters. It'll take 6 seconds to arrive, giving you plenty of time to cross the street. Because the light reflected from the car to your eyes left the car two seconds ago, the car will reach at your location in four seconds and hit you (if the car is travelling in the lane on the far side of the road). It looks to you that approaching automobiles traveling at the legal limit are traveling at a speed of 100 / 4 = 25 m/s, which is 50% faster than the genuine speed of 16.666 m/s. When considering whether or not it is safe to cross the road, one would quickly become accustomed to this.
6.
How does the kinetic energy from the forward motion of a car traveling at 16 m/s
compare with the kinetic energy of the same car traveling at 8 m/s?
(A) It is 2 times greater.
(C) It is 8 times greater.
(B) It is 4 times greater.
(D)
It is 16 times greater.
The kinetic energy in the first case is 4 times more than the second case.
Hence, option D)It is 4 times greater is the correct answer.
What is Kinetic Energy?Kinetic energy is simply a form of energy a particle or object possesses due to its motion.
It is expressed as;
K = (1/2)mv²
Where m is mass of the object and v is its velocity.
Given that;
For the first case, velocity v = 16m/sFor the second case, velocity = 8m/sLet the mass of the car be mFor the first case, kinetic energy of the car will be;
K = (1/2)mv²
K = (1/2) × m × (16m/s)²
K = (1/2) × m × 256m²/s²
K = mass × 128m²/s²
For the second case, kinetic energy of the car will be;
K = (1/2)mv²
K = (1/2) × m × (8m/s)²
K = (1/2) × m × 64m²/s²
K = mass × 32m²/s²
Comparing the kinetic energy of the car with the same mass but different velocity, we can see that the kinetic energy in the first case is 4 times more than the second case.
Hence, option D)It is 4 times greater is the correct answer.
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A delivery van has 80000j of kinetic energy. if the brakes can supply a force of 12,500n to bring the van to stop, how far will the van travel while coming to rest after the brakes are applied?
The distance, van travels while coming to rest after brake applied is 6.4m
What is Work energy theorem?It states that the Work done in moving a body is equal to the change in kinetic energy of the body
Given is a delivery van whose kinetic energy K.E = 80000J and the force applied to brake F = 12500 N.
The brakes are applied to stop the van, so, final velocity is zero. Then, change in kinetic energy will be
According to work energy theorem, work done is
W = ΔK.E = K.Ef - K.Ei
W = - 80000J
Work done is also defined as the product of force applied and the distance it travelled.
W = Fs
80000 = 12500 x s
s = 6.4 m
Thus, the distance, van travels while coming to rest after brake applied is 6.4m
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on which factor potential energy depends?
[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{what \: is \: potential \: energy}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Potential energy: A type of energy which is possessed by an object due its position.
Example: A raised weight or when we raise any weight is a potential energy.
[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{on \: which \: factor \: potential \: energy \: depends}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Potential energy depends upon three factors. They are:
Mass of an object. Height of an object. Gravitational force upon an object.[tex] \boxed{ \huge \frak \red{brainlysamurai}}[/tex]
A car with a mass of 1000 kg is moving on an un-banked ramp with a radius of 100 m. what is the maximum speed the car can move without skidding if the coefficients of static and kinetic friction are 0.80 and 0.60 respectively
The maximum speed the car can move without skidding is determined as 28 m/s.
Maximum speed of the car
The maximum speed of the car moving in a circular path is provided by static frictional force.
Fs = μFₙ = mv²/r
μFₙ = mv²/r
mv² = μFₙr
v² = μFₙr/m
[tex]v_{max} = \sqrt{\frac{\mu_s F_n r}{m} } \\\\v_{max} = \sqrt{\frac{\mu_s (mg) r}{m} } \\\\v_{max} = \sqrt{\mu_sgr} \\\\v_{max} = \sqrt{(0.8)(9.8)(100)}\\\\v_{max} = 28 \ m/s[/tex]
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Which two options would INCREASE the electric force between two charged particles?
A. Increase the distance between the particles. B. Decrease the charge of one of the particles. C. Decrease the charge of both particles
D. Decrease the distance between the particles
E. Increase the charge of one of the particles.
The electric force between two charged particles can be increased by decreasing the distance between the two particles.
How to increase electric force between two charged particles.The technique of decreasing the separation distance between objects increases the force of attraction or repulsion between the objects. while
increasing the separation distance between objects decreases the force of attraction or repulsion between the objects.
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Struggling with this, pls answer:( Brainliest to the (FIRST) right answer
Answer:
c. a and c
Explanation:
ammeters are connected in series to measure charge/current
An engineer is working to design a bouncy ball that conserves all of its kinetic and potential energy. She drops the ball to the ground from a height of 3 meters. If it really works, how high should the ball bounce
If potential energy is conserved or remain the same, the ball will bounce 3 m high.
Conservation of energyThe principle of conservation of energy states energy can neither be created nor destroyed but can be converted from one form to another.
If we apply the principle of conservation of energy, the total potential energy will remain the same.
P.E(initial) = P.E(final)
Thus, If potential energy is conserved or remain the same, the ball will bounce 3 m high.
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What happens to the light in a
concave lens?
a. the light diverges when it passes
through the lens.
b. the light diverges before it enters the
lens.
c. the light converges when it enters the
lens.
Answer:
a. the light diverges when it passes through the lens.
Explanation:
All the light rays after passing through the concave lens diverge and when produced backwards appear to meet at a point on the principal axis of the lens. This point is known as principal focus of a concave lens.
as the moon phase approaches full we say the Moon is doing what
As the moon phase approaches full we say the Moon has now completed one half of the lunar month.
What is Lunar month?This is defined as the time it takes the Moon to pass through all of the phases.
When the moon approaches full then itn has completed one half of the lunar month which is the time taken to form a new moon.
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to complete the statement.
Atoms of elements in the same group have the same number of
chemical properties.
This is why they have similar chemical properties.
Answer:
Valence electrons
Explanation:
I don't exactly understand the question. However, I do know that the main commonality between elements of the same group (column) is their valence electrons. Valence electrons are very important when it comes to bonding, ionization, etc.
mention part of generetor and write the uses of each part
Answer:
Explanation:
If generator really means alternator as used in cars, the following can be said:
The rotor is fed with a variable voltage ranging from 0 volt to 12 volts. The 2 brushes (fixed, not rotating, like the stator) make contact with two rings that are rotating with the rotor. The rotor acts like a fixed magnet, but the magnetic field strength is constantly updated to provide a constant output voltage, even if the load current change or the motor speed change.
The stator is basically 3 coils and 6 diodes that convert the 3 phases of AC output to an almost ripple-free DC.
Note that as more energy is extracted from the alternator (for example, adding 10 amps by turning on the headlights) the shaft resists more rotation. This can be easily tested by holding an alternator in your hand, and trying to rotate the shaft by hand with no load (rotate easily, keep rotating for a few seconds), then short-circuiting the output (much harder to rotate, stop rotating immediately). The quest for magical perpetual energy where a motor is powered by an alternator is a child's dream.
Question 1 of 10
What is the wavelength of a wave with a frequency of 262 Hz and a speed of
343 m/s?
O A. 1.3 m
OB. 89,866 m
O C. 1.11 x 10-5 m
O D. 0.76 m
SUBMIT
Answer:
V = λ f (wavelength * frequency)
λ = V / f = 343 m/s / 262 / s = 1.3 m