Answer:
The probability that she is correct on only two questions is 0.246
Explanation:
The probability of getting an answer correct = 1/5
The probability of getting only two questions correctly
By binomial trials, we have;
P(X = K) = [tex]\dbinom{n}{k}\times p^{k}\times \left (1 - p \right )^{n - k}[/tex]
P(X = 2) = [tex]\dbinom{6}{2}\times \left (\dfrac{1}{5} \right )^{2}\times \left (1 - \dfrac{1}{5} \right )^{6 - 2}[/tex]
= 15×256/15625 = 768/3125 = 0.246
Therefore, the probability that she is correct on only two questions = 0.246.
a coil of 40 henry inductance is connected in series with aresistance of 8ohm and the combination is joined to the terminals of a 2 volt battery. the time constant of the circuit is?
Answer: 5 seconds
Explanation:
Given the following :
Inductance (L) = 40 henry
Resistance = 8 ohms
The circuit given above is a Resistor - Inductor (RL) circuit network. The time constant of an RL circuit is the ratio of the circuit Inductance (L) and Resistance (R). Time constant is measured in seconds.
THAT IS;
Time constant = L / R
THEREFORE ;
Time constant = 40 / 8
Time constant = 5 seconds
A train moving at a constant speed on a surface inclined upward at 10.0° with the horizontal travels a distance of 400 meters in 5 seconds. Calculate the vertical velocity component of the train during this time period. A. 41.10 meters/second B. 19.23 meters/second C. 13.89 meters/second D. 41.70 meters/second E. 78.78 meters/second
Answer:
C. 13.89 meters/second
Explanation:
If the velocity of the train is v=s/t, where s is the distance and t is time, then v=400/5=80m/s. To get the vertical component of the velocity we need to multiply the velocity v with a sin(α): Vv=v*sin(α), where Vv is the vertical component of the velocity and α is the angle with the horizontal. So:
Vv=80*sin(10)=80*0.1736=13.888 m/s.
So the vertical component of the velocity of the train is Vv=13.888 m/s.
Answer:
C.
13.89 meters/second
Explanation:
If a body gains 360 electrons, what is its electric charge?
Answer:
5.76×10⁻¹⁷ C
Explanation:
An electron has a charge of 1.6×10⁻¹⁹ C.
360 × (1.6×10⁻¹⁹ C) = 5.76×10⁻¹⁷ C
n a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This is because the initial kinetic energy is small compared with the gain in gravitational potential energy on even small hills.) To demonstrate this, find the final speed and the time taken for a skier who skies 70.0 m along a 30â slope neglecting friction: (a) Starting from rest. (b) Starting with an initial speed of 2.50 m/s. (c) Does the answer surprise you? Discuss why it is still advantageous to get a running start in very competitive events.
Answer:
Explanation:
a ) starting from rest , so u = o and initial kinetic energy = 0 .
Let mass of the skier = m
Kinetic energy gained = potential energy lost
= mgh = mg l sinθ
= m x 9.8 x 70 x sin 30
= 343 m
Total kinetic energy at the base = 343 m + 0 = 343 m .
b )
In this case initial kinetic energy = 1/2 m v²
= .5 x m x 2.5²
= 3.125 m
Total kinetic energy at the base
= 3.125 m + 343 m
= 346.125 m
c ) It is not surprising as energy gained due to gravitational force by the earth is enormous . So component of energy gained due to gravitational force far exceeds the initial kinetic energy . Still in a competitive event , the fractional initial kinetic energy may be the deciding factor .
While having a discussion, Technician A says that the longer a conductor is, the more resistance it has and the smaller its diameter, the less resistance it has. Technician B says that the larger its diameter, the less resistance it has. Who is correct
Answer:
Technician B is correct by saying that the larger diameter (i.e the conductor's diameter), the less resistance it has.
Explanation:
According to the law of electrical resistance, the resistance of a metallic conductor is proportional to the length of the conductor, but inversely proportional to the cross-sectional area of the conductor.
[tex]R = p\frac{l}{A}[/tex]
where R is the resistance of the conductor.
p is the intrinsic resistivity of the material with which the conductor is made.
l is the length of the conductor.
A is the cross-sectional area of the conductor.
This law simply means that if we increase the length of a conductor, or reduce the area, the electrical resistance of the conductor will increase, and vice versa.
Technician B is correct by saying that the larger diameter (i.e the conductor's diameter), the less resistance it has.
This is because the area of the conductor is proportional to the cross-sectional area. And the larger the cross-sectional area of a conductor, the lesser its resistance will be.
why decomposition of sugar on heating is an irreversible change.
Answer:
The heat of formation of the products of the heating of sugar, which is caramel is higher and due to the new complexes formed such there is increased change in free energy between the products and the reactants of the sucrose decomposition by heating, making the reaction is irreversible
Explanation:
Sugar, also known as sucrose, C₁₂H₂₂O₁₁, is a disaccharide made up two monosaccharides, fructose, C₆H₁₂O₆, and glucose, C₆H₁₂O₆ joined together by a glycosidic covalent bond as such the molecule of sugar has one less molecule of H₂O than the fructose and the glucose it is made of which on heating the sugar the glycosidic bonds break and due to deficiency in the amount of H₂O the fructose and glucose combine with themselves to form caramel which has a much lower hydrogen and oxygen proportion such as C₂₄H₂₆O₁₃, which is darker and contains free radicals making caramel sticky.
Therefore, the heat of formation of the caramel is higher and due to the formation of the complexes there is increased change in free energy between the products than the reactants of the decomposition of sugar by heating, therefore, the reaction is irreversible.
HELPPP!!! I will give Brainliest!!! super easy question
I have a question. If a question has the numbers 500kg and 3000N, how many significant digits should the answer have?
Answer:
most likely just 1
Explanation:
I sucked at sig figs in middle school, in fact it was the lowest test grade i ever received, but it is relatively simple.
because there is only one sig fig involved in each number, there can't be multiple sig figs here. 3000/500=6
500/3000=2(round up from 1.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666) you get the point.
find the gravitational force of attraction between two elephants, one mass 1.00 * 10kg and the other of mass 8.00 * 10 square kg, when they are separated by 5.0m
Answer:
F=2.135706 * 10^-8 N
Explanation:
[tex]F=G\frac{m_{1} m_{2} }{r^{2} } \\\\G=6.67408*10^{-11}\\m_{1}=10kg\\m_{2}=8*10^{2}kg\\r=5m\\\\=> F=6.67408*10^{-11}*\frac{10*(8*10^{2})}{5^{2} }\\F=2.135706*10^{-8}N[/tex]
Please help. Basic. Brainliest will be given.
Answer:
28.7 m at 46.9°
Explanation:
The x component of the displacement is:
x = 6 m cos 0° + 25 m cos 57°
x = 19.6 m
The y component of the displacement is:
y = 6 m sin 0° + 25 m sin 57°
y = 21.0 m
The total displacement is found with Pythagorean theorem:
d = √(x² + y²)
d = 28.7 m
And the direction is found with trig:
θ = tan⁻¹(y/x)
θ = 46.9°
Answer:
Distance of displacement = 28.71 m
Angle of displacement = 46.91 degrees
Explanation:
convert all individual displacements to simple vectors.
6m east -> <6,0>
25m at 57 -> <25cos57, 25sin57>
Total displacement = sum of two vectors
= <6+25cos57, 0+25sin57>
=<19.62, 20.97>
Magnitude of displacement
= sqrt(19.62^2+20.97^2)
= 28.71
Direction of displacement
= atan2(20.97,19.62)
= 46.91 degrees
Does the earths magnetic field change with time?
Answer:
As per the fossil fuel records, magnetic field reversal does not impact living beings. It will take almost a century for the poles to complete the shift. Meanwhile, the earth is left with almost zero magnetic field.
You notice the flagpole at school vibrating in the breeze. You count the vibrations and find that
the flagpole makes 20 complete vibrations in 10 seconds. You read somewhere that this
lagpole vibrates at a speed of 25 m/s when the wind is blowing Find the wavelength of these
vibrations
Answer: 12.5m
Explanation:
Given the following :
Flagpole makes 20 complete vibrations in 10 seconds
Velocity (V) of vibration = 25m/s
Find the wavelength of vibration (λ) =?
Frequency is number of complete oscillation per Second
Therefore ;
Frequency (F) = number of oscillations / time taken
F = 20 / 10 = 2Hz
Wavelength = Velocity / frequency
Wavelength = 25 / 2
Wavelength = 12.5m
The image shown is an illustration of Kepler’s second law. Which conclusion is best supported by the image?
Explanation:
Kepler has given three laws. Kepler's second law is also known as law of planetary motion. According to this law, a line that joins a planet and the sun covers equal areas during the equal intervals of time.
Kepler's first law is also known as law of ellipses and third law is also known as law of harmonics.
Answer:
Its B
Explanation:
took the cumulative review and got it right edg2020
I NEED HELP!! PLEASE HELP ME
Answer:
but I can tomorrow if you have time can you come to the meeting tonight but yyyy the person who is this and what
Explanation:
gyyyyyyyyyyyyyyyyy the number of the person who is this and what is the
calculate the wavelength of a wave if 5 complete waves occupy a length of 20m
The wavelength of the wave will be 4 meters. when 5 complete waves occupy a length of 20m.
What is wavelength?Wavelength is defined as the space between waves' crests, particularly between electromagnetic or sound wave points. A recurring event's frequency is measured by how many times it occurs in a unit of time. To underline the difference from spatial frequency, it is also occasionally referred to as temporal frequency.
There is an inverse relationship between the frequency and the wavelength of the waves as the wavelength increases the frequency decreases and if the wavelength decreases the frequency increases.
Given that a wave has 5 complete waves occupying a length of 20m. The wavelength of the wave will be calculated as below:-
λ = Distance / frequency
λ = 20 / 5
λ = 4 meters
Therefore, the wavelength of the wave will be 4 meters. when 5 complete waves occupy a length of 20m.
To know more about wavelength follow
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Consider a transition at 5000 Å with a width of 1 Å and a cavity 2 cm3 in volume. How many electromagnetic modes exist in this frequency band for this cavity?
Answer:
total number of modes is 8
Explanation:
attached here is the calculations
alculate the potential difference if 20J of energy are transferred by 8C of charge.
Answer:
V = 2.5 J/C
Explanation:
Given:
Energy = E = 20 J
Charge = Q = 8 C
Required:
Potential Difference = V = ?
Formula:
V = [tex]\frac{E}{Q}[/tex]
Solution:
V = 20/8
V = 2.5 J/C
Answer:
Given :
✧ Energy transferred = 20J ✧ Charge = 8CTo Find :
✧ Potential differenceUsing Formula :
We know that the electric potential difference is also known as voltage (v).
[tex]{\star{\small{\underline{\boxed{\sf{\red{ V =\dfrac{E}{Q}}}}}}}}[/tex]
✧ Potential difference ✧ E = Energy transferred✧ Q = ChargeSolution :
Substituting the given values in the formula to find potential difference :
[tex]{\dashrightarrow{\small{\pmb{\sf{ V =\dfrac{E}{Q}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{ V =\dfrac{20}{8}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{ V = \cancel{\dfrac{20}{8}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{ V = {\dfrac{10}{4}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{ V = \cancel{\dfrac{10}{4}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{\underline{\underline{\purple{V = 2.25}}}}}}}[/tex]
Hence, the potential difference is 2.25V.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
HELP NEEDE ASAP!!!!!!!! How do you understand by the longitudinal wave? Describe the longitudinal nature of sound waves
Answer:
Sound as a Longitudinal Wave
For a sound wave traveling through air, the vibrations of the particles are best described as longitudinal. Longitudinal waves are waves in which the motion of the individual particles of the medium is in a direction that is parallel to the direction of energy transport.
Answer:
Hey!
Here is your answer!
Explanation:
LONGITUDINAL WAVES:
These are waves where the transferral of energy is PARALLEL to the direction it travels in...For Example...Sound Waves are Longitudinal as they move in a series of COMPRESSIONS and RAREFACTIONS (typical of all Longitudinal Waves)...
The compressions are known in diagrams to be an area of a dense collection of PARTICLES where the energy (or sound in this case) is being transferred in the same direction as the movement...
The rarefactions are shown as almost empty area of particles where the medium (the matter of which the wave travels in) is moving...
Hope this helps!
*here's a diagram*
It is easier to add vectors together if we split them into what? A. Sizes B. Components C. Quadrants D. Lines
Answer:
B. ComponentsExplanation:
Splitting vectors into components makes it easier to perform operations on them, typically categorizing vectors into horizontal and vertical components which are the two components makes it very easy to perform operations, since they are similar terms and operations cab be done easily
The general kinematic equations of motion for horizontal displacement can be simplified significantly for this
motion. Write the simplified equation for x in this case. Explain how you have been able to simplify it from this
general displacement equation:
x = xo + Vxot + { axt?
Answer:
x = x₀ + v₀ₓ t
x = v₀ₓ t
Explanation:
The general equations of motion have the form
x = x₀ + v₀ₓ t + ½ aₓ t²
In the case of movement on the x axis, we assume that there is no friction whereby the acceleration is zero, this is a great approximately the air creates a resistance that is proportional to the size of the body and is linear or quadratic depending on the speed.
Sometimes the reference system is also placed at the exit point of the object whereby x₀ = 0, but this approximation is minor and does not change the shape of the cure
x = x₀ + v₀ₓ t
x = v₀ₓ t
Answer:
x = x₀ + v₀ₓ t
x = v₀ₓ t
Explanation:
a candle is located 12 cm from a concave mirror. The focal point of the mirror is 3.0 cm from the mirror, where is the image located?
Answer:
v = -4 cm
Explanation:
We have,
Distance between candle and the concave mirror, u = -12 cm
Focal length of the mirror is, f = -3 cm
It is required to find the distance from the distance where image is located. Using mirror's formula to find it:
[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}[/tex]
v is image distance
[tex]\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{(-3)}-\dfrac{1}{(-12)}\\\\v=-4\ cm[/tex]
So, the image will formed at a distance of 4 cm.
The kicker now kicks the ball with the same speed as in the number of 4,but at 60.0°from the horizontal or 30.0° from the vertical. a.What is the time the ball is in the air? b.What is the distance the balls travel before it hits the ground? c.What is the maximum height?
Answer:
Explanation:
1) The time of flight equation for projectile motion can be used here to find total time in air.
t = 2vsin∅ / g
where v is speed, Ф is launch angle
t = 2×4×sin 60 / 9.8
t = 0.71 seconds
2) Distance where it hit the ground is called as range and has the following standard equation
D = v² sin2Ф/g
D = 4²sin 2×60 / 9.8
D = 1.41m
3) Maximum elevation is maximum time reached
h = v² sin²Ф / 2g
h = 4²sin² 60 / 2*9.8
h = 0.61 m
This equation is missing which motion variable?
Answer:
Option A. a
Explanation:
Motion variables include:
1. Final velocity (vf).
2. Initial velocity (vi).
3. Time (t).
4. Acceleration (a)
5. Distance (x)
Considering the equation given in the question:
Δx = ½(vf + vi) t
We can see that the acceleration (a) is missing in the equation.
What is the net force acting on the buggy. ?The net force is pointing to the ?
Answer: 390, right
explanation: The net force is just the sum of all of these forces acting on an object. ... This equation is the sum of n forces acting on an object. The magnitude of the net force acting on an object is equal to the mass of the object multiplied by the acceleration of the object, as shown in this formula.
the net force acting on the buggy is 390 and The net force is pointing to the is right
The following information should be considered:
The net force should be the sum of all of these forces that acted an object.This equation is the sum of n forces acting on an object. The magnitude of the net force acting on an object is equivalent to the mass of the object and multiplied by the acceleration of the objectLearn more: https://brainly.com/question/17961582?referrer=searchResults
The cartoon of the roadrunner and the coyote usually has rockets going at around 8 kilometers per minute. How much is this in miles per hour? (1m = .00062 miles)If we have a terrain with a square house in the middle, the walls of the square house are 50.0 yards long and has 10 yards high ceilings. What is the volume of the interior of the house in cubic meters and cubic centimeters? (1 yard = 3 feet, 1 meter = 3.28 foot)The acceleration of an object is given by 314,000 Hectometers per hour squared. Convert the units to Meter per second square and miles per second square.
Answer:
1 feet
Explanation:
1 feet = 1 feet so its one feet
The steering wheel of a car has a radius of 36 cm, and part of rest with an acceleration of 1.8m / s. Determine
a) The angular speed after 10s
b) The number of turns the wheel gave in 10s
Answer:
a) 50 rad/s
b) 39.8 rev
Explanation:
Given:
r = 0.36 m
v₀ = 0 m/s
a = 1.8 m/s
t = 10 s
a) Find: ω
v = at + v₀
v = (1.8 m/s) (10 s) + (0 m/s)
v = 18 m/s
ω = (18 m/s) / (0.36 m)
ω = 50 rad/s
b) Find: Δθ
Δx = v₀ t + ½ at²
Δx = (0 m/s) (10 s) + ½ (1.8 m/s) (10 s)²
Δx = 90 m
Δθ = (90 m) / (2π × 0.36 m)
Δθ = 39.8 rev
A +35 µC point charge is placed 46 cm from an identical +35 µC charge. How much work would be required to move a +0.50 µC test charge from a point midway between them to a point 12 cm closer to either of the charges?
Answer:
512.5 mJ
Explanation:
Let the two identical charges be q = +35 µC and distance between them be r₁ = 46 cm. A charge q' = +0.50 µC located mid-point between them is at r₂ = 46 cm/2 = 23 cm = 0.23 m.
The electric potential at this point due to the two charges q is thus
V = kq/r₂ + kq/r₂
= 2kq/r₂
= 2 × 9 × 10⁹ Nm²/C² × 35 × 10⁻⁶ C/0.23 m
= 630/0.23 × 10³ V
= 2739.13 × 10³ V
= 2.739 MV
When the charge q' is moved 12 cm closer to either of the two charges, its distance from each charge is now r₃ = r₂ + 12 cm = 23 cm + 12 = 35 cm = 0.35 m and r₄ = r₂ - 12 cm = 23 cm - 12 cm = 11 cm = 0.11 cm.
So, the new electric potential at this point is
V' = kq/r₃ + kq/r₄
= kq(1/r₃ + 1/r₄)
= 9 × 10⁹ Nm²/C² × 35 × 10⁻⁶ C(1/0.35 m + 1/0.11 m)
= 315 × 10³(2.857 + 9.091) V
= 315 × 10³ (11.948) V
= 3763.62 × 10³ V
= 3.764 MV
Now, the work done in moving the charge q' to the point 12 cm from either charge is
W = q'(V' - V)
= 0.5 × 10⁻⁶ C(3.764 MV - 2.739 MV)
= 0.5 × 10⁻⁶ C(1.025 × 10⁶) V
= 0.5125 J
= 512.5 mJ
Work done will be: [tex]512.5 \mu J[/tex].
Given:
q = +35 µC
q' = +0.50 µC
r₁ = 46 cm
r₂ = 46 cm/2 = 23 cm = 0.23 m
The electric potential at this point due to the two charges q is thus
[tex]V = \frac{kq}{r_2}+\frac{kq}{r_2}\\\\ V= \frac{2kq}{r_2}\\\\V= \frac{2 * 9 * 10^9Nm^2/C^2 * 35 * 10^{-6} C}{0.23 m}\\\\V= \frac{630}{0.23*10^3}V\\\\V= 2739.13 * 10^3 V\\\\V= 2.739 \mu V[/tex]
When the charge q' is moved 12 cm closer to either of the two charges, its distance from each charge is now;
r₃ = r₂ + 12 cm = 23 cm + 12 = 35 cm = 0.35 m and
r₄ = r₂ - 12 cm = 23 cm - 12 cm = 11 cm = 0.11 cm.
Thus, the new electric potential at this point is
[tex]V' = \frac{kq}{r_3} + \frac{kq}{r_4}\\\\V= kq(\frac{1}{r_3}+\frac{1}{r_4})\\\\V= 9 * 10^9 Nm^2/C^2 * 35 * 10^{-6} C (\frac{1}{0.35m}+\frac{1}{0.11m})\\\\V= 315 * 10^3(2.857 + 9.091) V\\\\V= 315 * 10^3 (11.948) V\\\\V= 3763.62 * 10^3 V\\\\V= 3.764 \mu V[/tex]
Now, the work done in moving the charge q' to the point 12 cm from either charge is:
[tex]W = q'(V' - V)\\\\W= 0.5 * 10^{-6} C(3.764 MV - 2.739 MV)\\\\W= 0.5 *10^{-6} C(1.025 * 10^6) V\\\\W= 0.5125 J\\\\W= 512.5 \mu J[/tex]
Thus, the work done will be: [tex]512.5 \mu J[/tex].
Find out more information on "Work done" here:
brainly.com/question/25573309
A force acting on a body causes a change in the momentum of the from 12 kgms-1 to 16 kgms-1 in 0.2 s. calculate the magnitude of the impulse.A force acting on a body causes a change in the momentum of the from 12 kgms-1 to 16 kgms-1 in 0.2 s. calculate the magnitude of the impulse.
Answer: Impulse = 4 kgm/s
Explanation:
From the question, you're given the following parameters:
Momentum P1 = 12 kgm/s
Momentum P2 = 16 kgm/s
Time t = 0.2 s
According to second law of motion,
Force F = change in momentum ÷ time
That is
F = (P2 - P1)/t
Cross multiply
Ft = P2 - P1
Where Ft = impulse
Substitute P1 and P2 into the formula
Impulse = 16 - 12 = 4 kgm/s
The magnitude of the impulse is therefore 4 kgm/s.
magnetic moment is scaler or vector??
An object in a certain direction with an acceleration in the perpendicular direction
Answer:
An object moving in certain direction with an acceleration in the perpendicular direction. The above condition is possible . Example of such situation in life would be when stone tied to a string whirling in a circular path
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Earthquakes usually happen at: - folds - mountains - fault lines
Answer:
Fault lines
Explanation:
