Answer:
11.44J/C
Explanation:
To find the electric potential for a point at 3m from one extreme of the bar you use the formula for the electric potential:
[tex]V=\int k\frac{dq}{r}=\int k\frac{dq}{x+3}[/tex]
Where r = x+3 represent the 3m distance of the charge to a point x in the bar.
dq: differential of charge = λdx. λ is the linear charge density.
k: Coulomb constant = 8.98*10^9 Nm^2/C^2
You can write dq as λdx. Furthermore, If you assume that the other extreme of the bar is at origin of the x-axis you can write the integral as follow:
[tex]V=\int_{0}^{2}k\frac{\lambda dx}{x+3}\\\\V=k\lambda \ ln(x+3)|_{0}^{2}=k\lambda (0.510)[/tex]
You replace λ ad k in the last expression:
[tex]V=(8.98*10^9Nm^2/C^2)(\frac{5*10^{-9}C}{2m})(0.510)=11.44\frac{J}{C}[/tex]
hence, the electric potential is 11.44J/C
The rigid beam is supported by the three suspender bars. bars ab and ef are made of aluminum and bar cd is made of steel. if each bar has a cross-sectional area of 450 mm2, determine the maximum value of p if the allowable stress is (σallow)st = 200 mpa for the steel and ( σallow)al = 150 mpa for the aluminum. est = 200 gpa and eal = 70 gpa.
Answer:
Pmax = 67.5 KN
Explanation:
We need to calculate the maximum allowable value of P for both aluminum and steel bars.
FOR STEEL BARS:
Since,
(σallow)st = (Pmax)st/A
where,
(σallow)st = maximum allowable stress of steel bar = 200 MPa = 2 x 10⁸ Pa
A = Cross-sectional area of steel bar = 450 mm² = 0.45 x 10⁻³ m²
(Pmax)st = Maximum allowable force for steel bar = ?
Therefore,
2 x 10⁸ Pa = (Pmax)st/0.45 x 10⁻³ m²
(Pmax)st = (2 x 10⁸ Pa)(0.45 x 10⁻³ m²)
(Pmax)st = 9 x 10⁴ N = 90 KN
FOR Aluminum BARS:
Since,
(σallow)al = (Pmax)al/A
where,
(σallow)al = maximum allowable stress of Al bar = 150 MPa = 1.5 x 10⁸ Pa
A = Cross-sectional area of Aluminum bar = 450 mm² = 0.45 x 10⁻³ m²
(Pmax)al = Maximum allowable force for Aluminum bar = ?
Therefore,
1.5 x 10⁸ Pa = (Pmax)al/0.45 x 10⁻³ m²
(Pmax)al = (1.5 x 10⁸ Pa)(0.45 x 10⁻³ m²)
(Pmax)al = 6.75 x 10⁴ N = 67.5 KN
Since,
(Pmax)al < (Pmax)st
Therefore,
The maximum allowable force will be:
Pmax = (Pmax)al
Pmax = 67.5 KN
Which of the following are two factors that determine speed?
a. acceleration and time
b. distance and time
c. velocity and time
d. motion and time
Answer:
B) Distance and Time
Explanation:
Equation for speed: S = D / T
Speed equals the distance you traveled divided by the amount of time it took to get to that destination.
The two factors which are required to determine the speed of a object are distance traveled by it and time taken by it.
What is speed?The speed is the rate at which the total distance by a object is traveled in the time taken.
Speed of a object can be given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance traveled by the object and (t) is time taken but the object to cover that distance.
As the unit of the distance is measured in the meter and the time measure in the second. Thus the speed of a object is measured in the meter per second.
In the vehicles the speed of vehicle is also measured in the kilometre per hour or miles per hour.
Hence, the two factors which are required to determine the speed of a object are distance traveled by it and time taken by it.
Thus the option B is the correct option.
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Only the sun and other stars in space generate these kinds of waves:
Answer:
Ultraviolet Waves.Explanation:
The Sun emits waves called "Solar Waves", which have a wavelengths between 160 and 400 nanometers. According to the electromagnetic spectrum, these waves are defined as Ultraviolet, which have a frequency around the order of [tex]10^{16}[/tex], which is really intense and high energy.
Therefore, the answer is Ultraviolet Waves.
Heat pumps move heat from __________ to __________ areas & REQUIRES energy. *
A. cold, hot
B. hot, cold
What is the electrical power when the current is 20 amps and the voltage is 15 volts? *
A. 35 watts
B. 1.33 watts
C. 300 watts
Work is a transfer of matter. *
A. True
B. False
explain nuclear fusion briefly
Answer:
Nuclear fusion is the process in which two atomic nuclei are fused together into a larger single nucleus, releasing energy in the process. ... In proton-proton fusion, four hydrogen atoms are fused into a single helium-4 atom, releasing a lot of energy in the process.
Explanation:
How are the electric field lines around a positive charge affected when a second positive charge is near it?
Answer:Because it likes to repel and attract opposites
A potential difference of 24 V is applied to a 150-ohm resistor. How much current flows through the resistor?
Given :- A resistor of 150 ohm, hence Resistance (R) = 150 ohm
Potential Difference (v) = 24 V
Current (I) = ?
V = IR
24 = I × 150
I = 24/150
I = 0.16 ampere
hope it helps!
O rază de lumină cade sub un unghi de incidență i=30⁰ pe o suprafață
plană ce separă două materiale transparente cu indici de refracție n 1 = 1,60
și n 2 = 1,40.
Calculați unghiul de refracție (din mediul cu indicele de refracție mai mic).
Sugestie: sin 30⁰ = ½.
Answer:
Explanation:
The question in english is:
A ray of light falls under an angle of incidence of 30 degrees on a flat surface that separates two transparent materials with indexes of refractions 1.60 and 1.40, respectively.
Calculate the angle of refraction (from the environment with the lower index of refraction)
Solution
According to Snell's Law :
[tex]n_{1}sin(\theta_{1})=n_{2}sin(\theta_{2})[/tex]
Where:
[tex]n_{1}=1.6[/tex] is the first medium index of refraction
[tex]n_{2}=1.4[/tex] is the second medium index of refraction
[tex]\theta_{1}=30\°[/tex] is the angle of the incident ray
[tex]\theta_{2}[/tex] is the angle of the refracted ray
We need to find [tex]\theta_{2}[/tex] from the equation above,
[tex]\theta_{2}=sin^{-1}(\frac{n_{1}}{n_{2}}sin\theta_{1} )[/tex]
[tex]\theta_{2}=sin^{-1}(\frac{1.6}{1.4}sin(30\°)[/tex]
[tex]\theta_{2}=34.84\°[/tex]
Therefore, the angle of refraction is 34.84°An air-track glider attached to a spring oscillates between the 10.0 cm mark and the 61.0 cm mark on the track. The glider completes 11.0 oscillations in 31.0 s
Answer:
T = 2.82 seconds.
The frequency [tex]\mathbf{f = 0.36 \ Hz}[/tex]
Amplitude A = 25.5 cm
The maximum speed of the glider is [tex]\mathbf{v = 56.87 \ rad/s}[/tex]
Explanation:
Given that:
the time taken for 11 oscillations is 31 seconds ;
SO, the time taken for one oscillation is :
[tex]T = \frac{31}{11}[/tex]
T = 2.82 seconds.
The formula for calculating frequency can be expressed as :
[tex]f = \frac{1}{T}[/tex]
[tex]f = \frac{1}{2.82}[/tex]
[tex]\mathbf{f = 0.36 \ Hz}[/tex]
The amplitude is determined by using the formula:
[tex]A = \frac{d}{2}[/tex]
The limits that the spring makes the oscillations are from 10 cm to 61 cm.
The distance of the glider is, d = (61 - 10 )cm = 51 cm
Replacing 51 for d in the above equation
[tex]A = \frac{51}{2}[/tex]
A = 25.5 cm
The maximum speed of the glider is:
[tex]v = A \omega[/tex]
where ;
[tex]\omega = \frac{2 \pi}{T}[/tex]
[tex]\omega = \frac{2 \pi}{2.82}[/tex]
[tex]\omega = 2.23 \ rad/s[/tex]
[tex]v = A \omega[/tex]
[tex]v = 25.5 *2.23[/tex]
[tex]\mathbf{v = 56.87 \ rad/s}[/tex]
When the Sun’s radiant energy falls on Earth’s oceans, it causes water to change state by evaporating. Which form of energy does water vapor have?
Answer:
water vapor is a type of gas
Explanation:
all gas are in air state of form
hope this helps
Answer:
chemical potential energy
Explanation:
When the sun's radiant energy falls on Earth's oceans, it causes water to change state by evaporating. The form of energy water vapor have is chemical potential energy. when heat energy of sun falls on water surface, its state change from liquid to gas. This gas rises above in the form of water vapor. Its a chemical change. If this vapor get condense/ cool, it will turn into liquid again. We can say that vapor has potential to transform into water again. Thus, the energy stored in water vapor is called chemical potential energy.
Two tuning forks are played at the same time. One has a frequency of 176 Hz and the other is 178 Hz. How many beats per second are heard?
Answer:
There is 2 beats per second.
Explanation:
You have to subtract them to find your answer and 178 - 176= 2
A man can lift a mass of 200kg onThe surface of the earth. what is the amount of mass he can lift on the surface of the moon?
Answer:
1,211.1 kg.
Explanation:
the force of gravity is less on the moon than on earth, so if the man can lift 200kg on earth, he could lift a greater amount on the moon because there is less resistance from gravity.
To know the amount of mass he can lift on the moon, we first need to know the amount of weight that is equivalent to those 200kg here on earth. This because the weight of the object is equal to the force that must be applied to lift it, and that force is applied by the man and it will be the same here and on the moon.
We calculate weight using the formula:
[tex]w=mg[/tex]
where [tex]w[/tex] is the weight of the object (the force with which the earth attracts the object) [tex]m[/tex] is the mass and g the acceleration of gravity.
so
[tex]w=200g[/tex]
for earth the acceleration due to gravity is: [tex]g=9.81m/s^2[/tex]
thus:
[tex]w=(200kg)(9.81m/s^2)\\w=1962N[/tex]
now we use this value to calculate the mass he can lift on the moon, since for the moon [tex]g=1.62m/s^2[/tex].
we use the same equation, w =mg substituting w = 1962N and [tex]g=1.62m/s^2[/tex]:
[tex]w=mg\\\\1962N=m(1.62m/s^2)\\\\m=\frac{1962N}{1.62m/s^2}\\\\ m=1,211.1kg[/tex]
he can lift 1,211.1 kg.
You can also find the result using the approximate value of the acceleration of gravity on the moon as g/6, where g is the acceleration on earth.
2. A new racecar track is being created, and the owners want the cars to complete 10
miles in 7 laps. What does the diameter of the track have to be to meet their
requirements?
Answer:
0.45 miles
Explanation:
since, car will be running on the edge of track, distance covered in one lap by car will be equal to circumference of track.\
we will use value of pi as 22/7
Circumference for any circular shape is given by [tex]\piD[/tex][tex]\pi D[/tex]
Hence, in one lap [tex]\pi D[/tex] distance will be covered
in 7 laps [tex]7 \pi D[/tex] distance will be covered.
but is given that 7 laps should be equal to 10 miles
so 10 miles will be equal to [tex]7\pi D[/tex]
[tex]7\pi D= 10 \ miles\\=> 7*(22/7)* D= 10 \ miles\\=> 22D = 10 \ miles\\=> D = 10/22 \ miles\\=> D = 0.45 \ miles[/tex]
Thus, diameter of track will be 0.45 miles to meet the requirement.
A 1500kg car moves foward with 30kg•m/s of momentum. What is its velocity
Select one
•-1470m/s
•0.02m/s
•45,000m/s
•-50m/s
Answer:
v = 30 /1500= 0.02 m/s
................
What major purposes do barrier islands serve?
Answer:
Barrier islands serve two main functions. First, they protect the coastlines from severe storm damage. Second, they harbor several habitats that are refuges for wildlife.
Explanation:
Which happens during the day at the beach?
A. The water is warmer than the land, and air sinks over the water
B. The water is cooler than the land, and air sinks over the water
C. The water is warmer than the land, and air rises over the water
D. The water is cooler than the land, and air rises over the water
Answer:
c
Explanation:
not sure i think heating beach
30
. Which of the following represents the
statement "The difference of two square
numbers is positive
Answer:
In mathematics, the difference of two squares is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored according to the identity. in elementary algebra.
Explanation:
Which structure connects muscles to bone?
Answer: tendons connect muscles to bones
Explanation:
Kinetic friction is the frictional force needed to start an object at rest into
motion.
A. True
B. False
Answer:
b.false i think
Explanation:
i hope i am correct and helps you
Answer:false
Explanation:
I just did it
In a step down transformer, voltage steps down. What factor must go up?
Answer:
A transformer that increases the voltage from primary to secondary (more secondary winding turns than primary winding turns) is called a step-up transformer. Conversely, a transformer designed to do just the opposite is called a step-down transformer.
Explanation:
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A popcorn-maker transfers 250 J of energy into other energy stores every second. What is its power?
Answer: 250 watts
Explanation:
energy=250J
Time=1 sec
Power=energy ➗ time
Power=250 ➗ 1
Power=250
Power is 250 watts
According to the question,
Energy,
250 JTime,
1 secondThe formula,
→ [tex]Power =\frac{Energy}{Time}[/tex]
By substituting the values, we get
[tex]= \frac{250}{1}[/tex]
[tex]= 250 \ Watts[/tex]
Thus the above approach is right.
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Un semáforo de 80N cuelga del punto medio de un cable de 30m tendido entre 2 postes. Halle la tensión en cada segmento del cable si éste tiene un pandeo que lo hace descender una distancia vertical de 1m
Answer:
T1 = T2 = 602.33 N
Explanation:
I attached an image of the forces diagram below.
The x component of the forces for this cases is:
[tex]\Sigma F_x=T_1cos\theta-T_2cos\theta=0\\\\T_1cos\theta=T_2cos\theta\\\\T_1=T_2[/tex]
And the y components:
[tex]\Sigma F_y=T_1sin\theta+T_2sin\theta-W=0\\\\T_1=T_2=T\\\\\Sigma F_y=2Tsin\theta=W\\\\T=\frac{W}{2sin\theta}[/tex]
The angle is calculated by using the information about the length of the cable and the vertical distance of the traffic light:
[tex]\theta=tan^{-1}(\frac{1}{15})=3.81\°[/tex]
Thus, you obtain:
[tex]T=\frac{80N}{2(sin3.81\°)}=601.33N[/tex]
hence, the tension in both segments of the cable is 602.33 N
Choose the best definition for velocity
1. How fast something is going
2. Speed in a certain direction
3. Which direction something is going
4. Something speeding up
what is the function of strong nuclear forces
Answer:
The strong force binds quarks together in clusters to make more-familiar subatomic particles, such as protons and neutrons. It also holds together the atomic nucleus and underlies interactions between all particles containing quarks
Explanation:
PLEASE GIVE ME BRAINLIEST IF NEW IT SHOULD SAY MARK AS BRAINLIEST IF NOT YOULL HAVE TO WAIT A DAY AND BRAINLY WILL REMIND YOU
A microwave oven uses a current of 0.45 Amps in a voltage of 120 Volts how much power does a microwave use?
Answer:
54 W
Explanation:
Power = Voltage* Current =V*I = 120V*0.45A =54 Watt
A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T. The length of the loop L is 0.16 m and its width w is 0.040 m. What is the magnetic flux through the loop when the plane of the loop is perpendicular to the magnetic field?
Explanation:
hope this helps you...........
The magnetic flux through the loop when the plane of the loop is perpendicular to the magnetic field is 0.0256 Weber.
What is magnetic field?The magnetic field is the region of space where a charged object experiences magnetic force when it is moving.
The formula for magnetic flux is given as;
φ = BAcosθ
Given, a rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T. The length of the loop L is 0.16 m and its width w is 0.040 m.
Area of the loop = L x w
A = 0.16 x 0.040 m
A = 0.0064 m²
So, flux will be
φ = 0.4 x 0.0064 x cos90°
φ = 0.00256 Wb
Thus, magnetic flux through the loop when the plane of the loop is perpendicular to the magnetic field is 0.0256 Weber.
Learn more about magnetic field.
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What causes atoms to bond together
?!?
Answer:
electrostatic attraction
Explanation:
Atoms form chemical bonds with other atoms when there's an electrostatic attraction between them. This attraction results from the properties and characteristics of the atoms' outermost electrons, which are known as valence electrons.
The passage helps the reader to draw conclusions about which character's perspective? ºAlec ºAlice ºAlec's father ºAlec's mother
Answer:
I think it might be A: Alec but tell me if I'm wrong
Explanation:
Answer:
a
Explanation:
i did it on e d g e n u i t y
If the electrons in an atom were stationary, they would be ___ the nucleus
Answer:
Matter in the universe is made up of atoms, particles if electrons were to be stationary, they would have fallen into the nucleus because of electrostatic force acting on them destroying very existence of an atom we know.
Two scientists decide to investigate the rate at which objects fall on different planets. They choose to use Earth and Mars as case studies. One scientist stays on Earth and the second goes to Mars. Each of them released a 2kg piece of stone at a height of 15 metres from the surface of the planet at exactly the same time. On which planet will the stone hit the ground first? Why do you think so?
Answer:
the stones are released from rest at the same time, the stone that is on Earth to have more acceleration must first reach the ground
Explanation:
For this exercise we will use the law of universal attraction on each planet and Newton's second law to calculate the body's acceleration on each planet
F = ma
F = G m M / r²
Where G is the universal gravitational constant, m the mass of the body, M the mass of the planet and r the distance
Let's start with the Earth
G m M / r² = m a
a = G M / r²
let's look for the distance
r = [tex]R_{e}[/tex] + h
a = G M / (R_{e} + h)² = (G M /R_{e}²) 1 /(1 + h /R_{e})² ²
as h << R_{e} we can expand this function
(1 + h /R_{e})⁻² = 1 -2 h / Re + ...
with h /R_{e} it is very small we can despise it
a = G M /R_{e}
the amount in parentheses is called the acceleration due to gravity
g = G M / R_{e}²
g = 6.67 10⁻¹¹ 5.98 10²⁴ / (6.37 10⁶)²
g = 9.8 m / s ²
Now let's calculate the acceleration on Mars, let's use index 2 for this planet
a = G M2 / R_{2}²
a = 6.67 10⁻¹¹ 6.42 10²³ / (3.37 10⁶)
a = 3.77 m / s²
Let's analyze these results as the stones are released from rest at the same time, the stone that is on Earth to have more acceleration must first reach the ground
we can use the equation
y = v₀ t - ½ to t2
v₀ = 0
t = √ (2y / a)
we see that as the acceleration is greater the time decreases
