Answer:
a)
[tex]{ \tt{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \tt{s = (7 \times 15) + \frac{1}{2} \times 2.5 \times {15}^{2} }} \\ \\ { \tt{s = 105 + 281.25}} \\ { \tt{s = 386.25 \: m}}[/tex]
b)
[tex]{ \tt{v {}^{2} = {u}^{2} + 2as}} \\{ \tt{ {v}^{2} = {7}^{2} + (2 \times 2.5 \times 386.25)}} \\ { \tt{ {v}^{2} = 1980.25}} \\ { \tt{v = 44.5 \: m}}[/tex]
If this light exerts a total force f = 4.6 nn on the wall, how many photons per second are hitting the wall?
A photon is a tiny particle made up of electromagnetic radiation waves. Photons are simply electric fields traveling through space, as demonstrated by Maxwell. Let the number of photons N.
the surface: F = N (h/λ)
What are photons?A photon is a fundamental particle that is a quantum of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the electromagnetic force carrier. Because photons have no mass, they move at the speed of light in a vacuum, 299792458 m/s photons are quantized packets of energy. Because photons have a wavelength, their wave nature can be demonstrated. They have both velocity and mass, which gives them molecule nature. Photons and electrons are both fundamental quantum-mechanical particles, but they have very different properties. The photon is a type of elementary particle that acts as an energy carrier, whereas the electron is a subatomic particle that exists in all atoms.Therefore on the surface: F = N (h/λ)
Given F = 4.6 nN
assume λ = 633 nm
N = (4.6 ×[tex]10^{-9}[/tex] × 633 ×[tex]10^{-9}[/tex] )/(6.63 × [tex]10^{-34}[/tex]) photons / s
N = 4.68 × [tex]10^{18}[/tex] photons / s
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When you hold your cardboard square between the lights source and the wall what do you observe
When you hold your cardboard square between the lights source and the wall you observe a shadow.
Does light penetrate a cardboard?We know that light is a source of energy. Light travels in straight lines and this is called the rectilinear propagation of light. Having known that light travels along a straight path, we know that light would pass through the cardboard which is not too thick.
This cardboard is now able to scatter the light waves. We would then see a shadow at the wall. This shadow would have two regions; the region of complete darkness called umbra and the region of partial darkness called penumbra.
Thus, when you hold your cardboard square between the lights source and the wall you observe a shadow.
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When fully mature, the muscular walls of the epididymis move sperm into the _______, where they are stored until ejaculation.
When fully mature, the muscular walls of the epididymis move sperm
into the vas deferens where they are stored until ejaculation.
What is vas deferens?The male reproductive system includes your two vasa deferentia (plural). The ductus deferens or sperm duct are other names for the vas deferens (singular). This lengthy muscular tube connects to your urethra via the ejaculatory duct and travels from the epididymis into the pelvic cavity behind your bladder. Your spermatic cord surrounds your vas deferens, which move mature sperm to the urethra prior to ejaculation.Sperm cells are produced inside of your testes. The sperm then continues into the epididymis, a structure that is situated on top of the testicle. The epididymis is responsible for maturing and storing sperm cells so they can fertilize eggs.Muscle contractions caused by sexual arousal cause the sperm to move from the epididymis to the vas deferens and then into the urethra, allowing you to ejaculate semen outside of your body. Your body creates semen by mixing secretions with sperm cells during the process.
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The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams. what percent of the cans weigh 860 grams or less?
The desired outcomes for standard variation are;
a. [tex]P(X < 860) = P(z < -2.80) = 0.0026 = 0.26%[/tex]
b.[tex]P(1055x1100) = P(z2.00-z1.10) = 0.9772-0.8643 = 0.1129 = 11.29%[/tex]
c.[tex]86.17%[/tex]% if [tex]P(860 X 1055) = P(z 1.10) - P(z -2.80) = 0.8643 - 0.0026[/tex]
You will need the probabilities P(X 860), P(X 1055) and P(X 1100) from the cumulative normal probability distribution for the variable X in order to calculate these values (the weight of a can of pears, in this case).
The straightforward approach is to use the connection to reduce the required values of X to the reduced parameter z instead of laboriously deriving this information from the equation for this distribution and the given values for its mean and standard deviation.
z = (X - μ)/σ
which results in X = 860 z = -2.80, X = 1055 z = +1.10, and X = 1100 z = +2.00 in this instance.
You then check a public table for the cumulative standard normal distribution for the fractional probability for the necessary z values.
- To the tabular value P, add 0.5 for positive z. (z)
- To account for negative z, deduct from 0.5 the P(z) value that corresponds to positive z.
[tex]P(z) = 0.4974 for z = 2.80,[/tex] which means that,[tex]P(z -2.80) = 0.5 - 0.4974 = 0.0026.[/tex]
[tex]P(z) = 0.3643[/tex] and [tex]P(z 1.10) = 0.3643 + 0.5 = 0.8643[/tex] for [tex]z = 1.10[/tex] respectively
[tex]P(z) = 0.4772[/tex] and [tex]P(z 2.00) = 0.4772 + 0.5 = 0.9772[/tex] for [tex]z = 2.00.[/tex]
Finally, we can get the desired outcomes.
a. [tex]P(X < 860) = P(z < -2.80) = 0.0026 = 0.26%[/tex]
b.[tex]P(1055x1100) = P(z2.00-z1.10) = 0.9772-0.8643 = 0.1129 = 11.29%[/tex]
c.[tex]86.17%[/tex]% if [tex]P(860 X 1055) = P(z 1.10) - P(z -2.80) = 0.8643 - 0.0026[/tex]
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An object is accelerating at a= 23 m/(s^2), it has a mass of m=45kg. How much force is on the object?
Answer:
FORCE=Mass*Acceleration
So, Force=45*23=115 N
The definition of force in physics is the push or pull on a massed object that changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. The force is 115 N.
Force is a physical factor that alters or has the potential to alter an object's state of rest or motion as well as its shape. Newton is the SI unit of force.
One of the most fundamental types of physical entities is the force. Due to the fact that force is a vector quantity, it possesses both a magnitude and a direction. Frictional force and contact force are the two categories under which all forces can be classified.
F = m × a
F = 45 × 23
F = 115 N
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Scientists have organized all forms of energy into two types—kinetic and potential. Kinetic energy is the energy of motion, and potential energy is stored energy. At the top of its swing, does the pendulum have kinetic or potential energy?
Answer: At the top of a pendulum's swing, the ball is no longer moving (at that very specific point of time). All of its kinetic energy has been converted to potential energy (or more specifically in this instance, gravitational potential energy).
Explanation: hope this helps
The frequency of the radio station is 105.9mhz. how much is the frequency in hertz
If the frequency of a radio station is 105.9 MHz, the frequency in hertz is 1.059 × 10⁸ Hertz.
How to convert Hertz to Megahertz?Frequency in physics is the quotient of the number of times or a periodic phenomenon that occurs over the time (t) in which it occur.
Hertz and Megahertz are both units of measurement of frequency, which means inverse of the seconds i.e. 1/s.
However, the conversion factor of Hertz and Megahertz are as follows:
1 megahertz = 1000000 hertz
According to this question, the frequency of a radio station is 105.9 MHz, this frequency can be converted as follows:
105.9 × 1000000 = 1.059 × 10⁸ Hertz
Therefore, If the frequency of a radio station is 105.9 MHz, the frequency in hertz is 1.059 × 10⁸ Hertz.
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Jonathan walks 3 meters to the west, 2 meters south, 5 meters to the east, and 4 meters to the north. Which of the following is true?
a
His displacement was 2.8 meters.
b
His distance traveled was 4 meters.
c
His distance traveled was 12 meters.
d
His displacement was 14 meters.
If Jonathan walks 3 meters to the west, 2 meters south, 5 meters to the east, and 4 meters to the north, his displacement would be 2.8 meters.
The final position of Jonathan is 2 m exact North-East to the starting point. This forms a square. We need the diagonal of the square which is the displacement of Jonathan.
Diagonal of a square = a √ 2
a = Side of the square
a = 2 m
d = 2 √ 2
d = 2.8 m
Displacement is the distance between initial and final position whereas distance travelled is the total distance travelled throughout the given amount of time.
Therefore, Jonathan's displacement was 2.8 meters.
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A tennis ball is dropped from 1.58 m above the
ground. It rebounds to a height of 0.979 m.
With what velocity does it hit the ground?
The acceleration of gravity is 9.8 m/s-
Answer in units of m/s.
The calculated final velocity is Vf = 4.77 m/s
When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration. By applying the third equation of motion during the downward motion, we can quickly determine the final velocity or the velocity at which the ball reaches the ground. Following is the third equation of motion:
Where g = the acceleration of gravity = 9.8 m/s², h = the height = 1.16 m, and Vf = the final velocity of the ball =?
Vi = Ball's Initial Velocity = 0 m/s (Since the ball was at rest initially)
As a result, when we use these values in the equation, we obtain:
(2) Vf2 = (9.8 m/s²) (1.16 m) - (0 m/s)
Vf = 4.77 m/s
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A ball is dropped from rest and takes 1.3 s to hit the ground. From what height was it dropped? a. 7.5 m b. 8.3 m c. 13 m d. 17 m
The ball that is dropped from rest and takes 1.3 s to hit the ground was dropped from 8.28 m of height
The free fall formula and the procedure we will use is:
h = (g * t²)/2
Where:
g = acceleration due to gravityt = timeh = height traveledInformation of the problem:
g = 9.8 m/s²t = 1.3 sh =?Applying final height formula we get:
h = (g * t²)/2
h = (9.8 m/s² * (1.3 s)²)/2
h = (9.8 m/s² * 1.69 s²)/2
h = 16.56 m/2
h = 8.28 m
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
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What is the magnitude of the resultant vector? 10 meters 50 meters 1200 meters 2500 meters
Answer:
either vector
Explanation:
If the magnitude of the resultant of the two equal vectors is equal to the magnitude is equal to neither both vectors
A local store charges 1.5 each month on the unpaid balance for its credit account. what nominal interst rate is being charged?
The nominal interest rate is being charged is 19.56 %
Nominal and Effective Interest Rate:Interest bearing financial instruments state the rate of interest they pay. this is often the nominal interest rate. The effective rate of interest , on the opposite hand, accounts for the rate of interest compounding effect, thus, it's the actual interest rate an instrument pays during a given period (often a year).
Evaluating :18% is the nominal annual interest rate.
The monthly interest rate is 1.5%. Hence, the nominal interest rate in a year (12 months) is 18% = 12 x 1.5%.
19.56% is the (annual) effective interest rate (EIR).
EIR = ( 1+( r / n))ⁿ − 1, such as r is the annual interest rate and n is the number of periods.
Here, n = 12 and ( r/ n ) = .015 or 1.5%. Therefore,
EIR =( 1 + .015 ) 12 − 1 = .1956 or 19.56%.
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Convert Kg to g
i. 6.57 Kg
Answer:
Kg to g we multiply by 1000
Explanation:
6.57×1000=6570g
Consider the triangle in the middle and write down the pythagorean rule(h/2)2 (b/2)2=a2. differentiate the equation and note thatdh=x
The differentiated equation for the triangle in the middle as per the Pythagorean rule appears to be as db = dl = -h/b dh = -h/bx
What can be said as The Pythagorean Theorem?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a2 + b2, are equal to the squares on the legs.
Who made Pythagoras’s Theorem valid?Book I, Proposition 47, that is also known as I 47 or Euclid I 47, was mentioned and demonstrated for the first time by Euclid. Among all the Pythagorean proposition proofs, this one is arguably the most well-known.
By applying Pythagoras Theorem,
h^2/4 + b^2/4 = a^2
⇒ h^2 + b^2 = 4a^2
Then differentiating the equation, we have
2hdh + 2bdb = 0 (da = 0)
So db = dl = -h/b dh = -h/b x
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Need help with these problems! Thanks so much
Answer:
14.SI unit of
Distance →Metre(m)
Time →second(s)
Mass→kilogram(kg)
15. Dynamics
16. Optics
17. Electromagnetism
18.Thermodynamics
Answer:
14)
Distance : metres
Time: seconds
Mass: kilograms
15) Mechanics
16) Optics
17) Electromagnetism
18) Thermodynamics
Explanation:
Si units stand for 'International Units' these are units that are used universally for certain quantities
Hope this helps :)
The best leaper in the animal kingdom is the puma, which can jump to a height of 12. 0 feet when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height?.
To reach a height of 12.0 feet with an angle of 45° the animal must leave the ground with a velocity of: 39.295 ft/s
The formulas for projectile motion that we will use to solve this exercise is:
h max = [vi² * (sinθ)²] / (2*g)
Where:
h max = maximum heightg = gravityvi = initial velocityInformation about the problem:
vi = ?θ= 45ºg = 32.17 ft/s²h max = 12.00 ftApplying the maximum height formula an clearing the initial velocity we have:
h max = (vi² * (senθ)²) / (2*g)
vi= √ [(h max * 2 * g) / (senθ)²]
vi= √ [12 ft * 2 * 32.17 ft/s² ) / (sen 45º)²]
vi= √ [772.08 ft²/s² / 0.5]
vi= √1544.16 ft²/s²
vi = 39.295 ft/s
What is projectile motion?The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.
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Two units of measurement for energy are calories and joules. the measurement of 25.1 cal is the same amount of energy as ___________.
Two units of measurement for energy are calories and joulesthe measurement of 25.1 cal is the same amount of energy as 105.42 joule
1 cal = amoun tof heat energy required to raise the temperature of 1 g of matter by 1 degree.
1 Kcal = 1000 cal
S.I unit of energy = joule
The relation between calorie and joule
1 calorie = 4.2 joule
measurement of energy = 25.1 cal
= 25.1 * 4.2 joule
= 105.42 joule
so 25.1 cal is the same amount of energy as 105.42 joule
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Please can someone really smart answer my quetion about physical change??
The properties of physical changes of matter include the following:
no new substances are formedno large heat changes are involved except in processes of change of statethe changes are easily reversibleWhat is physical change?Physical change is a form of change that occurs in matter in which no new substances are formed.
Matter undergoes two types of changes:
physical change, andchemical changePhysical change is a change that affects or changes only the physical properties of a substance.
The physical properties of matter include the following:
densitycolorphysical statevolumeshape, etc.During physical changes of matter, the following are observed:
no new substances are formedno large heat changes are involved except in processes of change of statethe changes are easily reversibleExamples of physical changes include:
evaporation of watermelting of icemelting of candle waxdissolution of sugar in waterdissolution of salt in waterIn conclusion, physical changes are changes which affect only the physical properties of a substance and in which no new substance is formed.
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A lightbulb with a resistance of 45.0 ohms (R) is used in a circuit with a 9.0V battery. What is the current through the bulb?
The current that flows in the circuit is 0.2 A.
What is the current?We know that circuit is a path that has been specially prepared and set aside for the flow of current. This implies that we could only observe the flow of current in a an electric circuit. We could use the Ohm's law to be able to obtain the voltage an the current.
Ohms law states that the current that flows in the circuit is directly proportional to the voltage in the circuit. This implies that we could be able to write from this statement that; V α I. When we try to introduce the constant of proportionality then we can write;
V = IR
Where;
V = voltage
I = current
R = resistance
I = V/R
V = 9.0V
R = 45.0 ohms
I = 9.0V/ 45.0 ohms
I = 0.2 A
The current that flows in the circuit is 0.2 A.
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What quality differentiates hydrogen (H) from the other elements in group 1, the alkali metals?
a. It has more than one valence electron.
b. It is found by itself in nature.
c. It is not very reactive.
D. It is a non-metal.
Answer:
D. It is a non-metal.
If the efficiency of a lever 45% and you put in an effort force is 28N. The box is lifted 1.5m, what is the output work done?
The output work done by the lever is 18.9 J.
What is output work?Output work is the product of laod and the distance moved by load.
The S.I unit of output work is Joules (J).
To calculate the output work done by the lever, we use the formula below,
Formula:
E' = (W'/Ey)100......... Equation 1Where:
E' = Efficiency of the machineW' = Output workE = Efforty = Distance moved by effortMake W' the subject of the equation
W' = E'×Ey/100......... Equation 2From the question,
Given:
E' = 45%E = 28 Ny = 1.5 mSubstitute these values into equation 2
W' = (28×45×1.5)/100W' = 18.9 J.Hence, the output work done by the lever is 18.9 J.
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Determine the magnitude of the resultant force fr=f1 f2 and its direction measured clockwise
The value of the resultant force and its direction is Fr = 8.03 kN; Ф = 1.22°
What are forces?
Forces are the definition of Newton's second law, which is stated under the relation:
∑ Force = mass × acceleration.
In other words, force is the origin of motion since it generates acceleration in a system.
We will use the parallelogram method to determine the magnitude of the resultant force, as follows:
Fr = √F2² + F1² - 2(F2×F1)Cos105°
Fr = √6² + 4² - 2(6×4)Cos105°
Fr = 8.03 kN
We apply the law of sines
Sen∅/6 = Sen105°/8.026
∅ = 46.22°
The Ф direction of Fr measured clockwise from the positive u-axis is
Ф = 46.22° - 45°
Ф = 1.22°
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To launch a 100 kg human so that he leaves a cannon moving at a speed of 4 m/s, you need a spring with an appropriate spring constant. This spring will be compressed 2. 0 m from its natural length to launch the person. Which spring constant do you need?.
To launch a 100 kg human at the given speed, the spring constant needed is 400 N/m.
What is spring constant?This is the ratio of applied force on a spring to the extension produced by the spring.
The spring constant of the spring is calculated by applying the principle of conservation of energy.
The elastic potential energy of the spring will be converted into kinetic energy of the human so that the human will be launched at the desired speed.
U = K.E
¹/₂kx² = ¹/₂mv²
k = mv²/x²
where;
m is mass of the humanv is the speed of the cannonx is the extension of the springk is the spring constantSubstitute the given parameters and solve for the spring constant.
k = (100x 4²) / (2²)
k = 400 N/m
Thus, a spring constant of 400 N/m is need to maintain the law of conservation of energy, from elastic potential energy of the spring to kinetic energy of the human,
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Decane is an alkane having ten carbon atoms in its carbon chain. what is the total number of hydrogen atoms in decane?
Decane is an alkane with ten carbon atoms in its carbon chain. Hence, there are 22 hydrogen atoms.
Alkanes are acyclic, saturated hydrocarbons. Hydrocarbons are organic compounds made up of carbon and hydrogen only. Alkanes could be straight chained or branched.
Decane is a straight chained alkane with ten carbon atoms. To find the number of hydrogen atoms in any given alkane, we use the following molecular formular:
CₓH₂ₓ₊₂
The x in the formular stands for the number of carbon atoms. The C represents carbon, and the H represents hydrogen. If we put ten in place of x in the formular, we would have:
C₁₀H₂₀₊₂
= C₁₀H₂₂
Therefore, Decane has 22 hydrogen atoms.
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What is the average amount of teens with cell for the age groups 14, 15, and 16?
The average amount of small-town teens with cell phones for the age groups 14, 15, and 16 would be 348 as the average is given by the total sum divided by the number of items.
What is multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers.
As given in the problem we have to find out the average amount of teens with cells for the age groups 14, 15, and 16,
The average number of teens with cells = (273 + 341 + 430) / 3
The average number of teens with cells = 1044/ 3
=348
Thus, the average number of teens with cell phones for the age groups 14, 15, and 16 would be 348.
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If gasoline has a density of 0.680 g/cm3, what is the volume of 4,400 g of gasoline?
The volume of gasoline with a density of 0.680 g/cm3 and a mass of 4,400 g is: 6,470.58 cm3
The density formula and the procedure we will use is:
d = m/v
Where:
v= volumed= densitym= massInformation about the problem:
d= 0.680 g/cm3m = 4,400 gv = ?Applying the density formula and clearing the volume we get:
d = m/v
v = m/ d
v = 4,400 g/0.680 g/cm3
v = 6,470.58 cm3
What is density?It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
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What is the acceleration of the car in section a
Answer:
I am going to make an educated guess and say... B. 3 m/s²
Explanation:
I'm pretty certain that this is the correct answer.
For me, it was a toss-up between B and C, but I don't really think it's C.
But, then again, I am not 100% sure.
I hope you get it right! Have a blessed day! (✿◠‿◠)
Which process requires more energy: completelyvaporizing 1 kg of saturated liquid water at 1 atm pressure orcompletely vaporizing 1 kg of saturated liquid water at 8 atmpressure?
The correct answer would be the first option. That means completely vaporizing 1 kg of saturated liquid water at 1 atm pressure would require more energy.
Enthalpy of VaporizationThe enthalpy of vaporization, also known as the heat of vaporization or heat of evaporation, is the quantity of energy that must be added to a liquid substance in order to transform a quantity of that substance into a gas.
The enthalpy of vaporization decreases as the pressure increases, so it takes more energy to completely vaporize 1 kg of saturated liquid water at 1 atm than at 8 atm.
What is the enthalpy of the vaporization of water?The enthalpy of vaporization depends on the pressure at which that transformation occurs.
40.65 kJ/mol
The heat of vaporization value for water is 40.65 kJ/mol.
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In problem 16, in the workbook, let the current have a uniform speed of 1.35 m/s and let the width of the river be 100 m. what is the speed of the boat relative to a stationary observer on the shore?
The current have a uniform speed of 1.35 m/s and let the width of the river be 100 m. what is the speed of the boat relative to a stationary observer on the shore is 67.5 m.
The distance traveled in a unit of time is referred to as speed. The meter per second (m/s) is a SI unit. Any mathematical operation must be performed while maintaining the same units for all terms. If the units are different, the result will be incorrect. Until and unless terms have the same units, we cannot perform mathematical operations on them.
The posed issue is based on the correlation between distance, time, and speed. We must convert km/hr into m/sec in order to convert the specified unit of speed into SI units. The required distance will then be determined using the formula for distance speed and time.
Boat speed in relation to water = 2 m/sec
1.35 meters per second for water
time t = 100/2.00 = 50 s
the required distance = 1.35*50 = 67.5 m
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Calculate the amount of extension of a spring with a spring constant of 1 kn/m, if the amount of work done in extending it is 50 j. give your answer in m
Answer:
W = 1/2 k x^2 work done in extending a distance x
x = (2 W / k)^1/2 = (2 * 50 N / 50 kn / m)^1/2
x = (.1 kn / 50 kn/m)^1/2 = .045 m
