Connor has to pay for parking if he left his car in the lot for 3 hours will be $10. The expression will be C = 13 -t for t hours.
Solution:
The expression for t hours will be:-
Gas left after t hours: 13−1t
Cost of gas left after 3 hours: 13−1(3)= $10
Therefore, Connor has to pay for parking if he left his car in the lot for 3 hours will be $10. The expression will be C = 13 -t for t hours.
It's okay to hold hands. In small towns putting your arm around your partner can cause glare. Avoid cuddling on public benches queues and restaurants. Also, don't look into each other's eyes affectionately when there are other people around. It's best not to kiss or hug Japanese people to greet them. While Westerners often kiss on the cheek as a greeting, Japanese prefer bowing and shaking hands. In addition, public declarations of love are not considered good manners.
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describe the magnetic field due to the current in two wires connected to the two terminals of a source of emf and twisted tightly around each other.
The magnetic field due to the current in two wires connected to the two terminals of a source of EMF and twisted tightly around each other is either μo I / π a or zero
The magnetic field created by a long current carrying wire is given by the formula,
B = μo I / 2 π a
B = Magnetic field
μo = Permeability constant
I = Current
a = Distance
There are two possibilities if two are twisted together.
1 ) If the current in both the wires is flowing in the same direction, the net magnetic field will be the sum of magnetic field intensity of both the wires.
B = μo I / 2 π a + μo I / 2 π a
B = 2 μo I / 2 π a
B = μo I / π a
2 ) If the current in both the wires is flowing in the opposite direction, the net magnetic field will be the difference of magnetic field intensity of both the wires.
B = μo I / 2 π a - μo I / 2 π a
B = 0
Therefore, the magnetic field due to the current in two wires connected to the two terminals of a source of EMF and twisted tightly around each other is either μo I / π a or zero
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a spotlight on the ground shines on a wall 12 m away. if a man 2 m tall walks from the spotlight toward the building at a speed of 1.1 m/s, how fast (in m/s) is the length of his shadow on the building decreasing when he is 4 m from the building? (round your answer to one decimal place.)
When he is 4 m away from the building, the speed at which his shadow lengthens is -0.41 m/s.
What do you mean by angles?An angle is a shape that is made up of two rays or lines that have a shared terminal. The name "angle" comes from the Latin word "angulus," which means "corner." The common terminal of the two rays—known as the vertex—is referred to as an angle's sides. The angle in the plane does not always need to be in Euclidean space.
Given,
Distance of man from building = x
∴ initially, x = 12
dx/dt = -1.1 m/s
Let,
Shadow height = y
Now,
Solve for [tex]\frac{dy}{dt}[/tex] : when x=4
From the diagram it seen similar triangles with similar base/height ratios,
[tex]\frac{2}{12-x}[/tex] = [tex]\frac{y}{12}[/tex]
y = [tex]\frac{24}{12-x}[/tex]
[tex]\frac{dy}{dt}[/tex] = [tex]\frac{24}{(12-x)^{2} }[/tex] × [tex]\frac{dx}{dt}[/tex]
At x= 4,
dy/dt becomes:
[tex]\frac{24}{(12-4)^{2} }[/tex] × (-1.1)
∴ y = -0.41 m/s
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if the angle from the horizontal increased, would the ball travel further away from the person? that is to say, if the angle of elevation was greater, would that make a difference in the distance from the person - further, closer, no change? be specific in your answer as to why you think this.
Let the initial velocity be u And the angle of projection is e Then, the distance between the person and the ball where it lands is called range.
If the angle with the horizontal increases Distance between the person and the ball where it lands decreases which means the ball lands closer to the person if the angle of projection increases, the range decreases.
Maximum altitude is determined by initial vertical velocity. A steeper launch angle increases the vertical velocity component, so increasing the launch angle increases the maximum altitude. The higher the degree of release, the longer the flight distance. Projectiles are launched higher, so they stay in the air longer. A horizontal component acts long on the projectile.
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The siren of a fire engine that is driving northward at 31.0 m/s emits a sound of frequency 2160 Hz. A truck in front of this fire engine is moving northward at 19.0 m/s.
A. What is the frequency of the siren's sound that the fire engine's driver hears reflected from the back of the truck (Hz)?
B. What wavelength would this driver measure for these reflected sound waves (m)?
(a) The frequency of the siren's sound that the fire engine's driver hears reflected from the back of the truck is 2243.9Hz.
(b) The wavelength of the reflected sound waves by the listener is 0.143 m.
We use the principle of Doppler's effect to find the results.
What is the Doppler's effect?The Doppler's effect is a phenomenon when the source of a wave and an observer move relative to each other, the frequency heard is not the same with the actual frequency.
The equation of the Doppler's effect is
f₀ = (v + v₀) fs / (v + vs)
Where
f₀ = observer frequency of soundv = speed of sound waves (340 m/s)v₀ = observer velocityvs = source velocityfs = actual frequency of sound wavesNote:
v₀ (-) if it moves away from the sound source.vs (-) if it moves closer to the observer.There are a truck and a fire engine emitting a siren sound moving in the same direction.
The actual frequency, fs = 2160 Hz.The fire engine velocity (source), vs = 31.0 m/s.The truck velocity (observer), v₀ = 19.0 m/s.Determine the frequency and the wavelength of the sound waves heard by the listener in the front!
We have the truck is in front of the fire engine. So, the sound source moves closer and the observer moves away. Then, frequency of the sound waves heard by the observer is
f₀ = (v - v₀)/(v - vs) × fs
f₀ = (340 - 19.0)/(340 - 31) × 2160
f₀ = (321/309) × 2160
f₀ = 2243.9 Hz
The wavelength of the sound waves heard by the observer is
λ₀ = (v - v₀) / f₀
λ₀ = (340 - 19) / 2243.9
λ₀ = 321 / 2243.9
λ₀ = 0.1430545
λ₀ = 0.143 m
Hence,
(a) The observer frequency of sound is 2243.9Hz.
(b) The wavelength of the reflected sound waves by the observer is 0.143 m.
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a cluster with a lot of type o and b stars, but no bright k or m stars, is very group of answer choices old. faint. young. poor in heavy elements. densely packed.
Very young clusters lack luminous K or M stars but have a large number of Type O and B stars.
Define Measuring the Age of a Star Cluster?We can learn a lot from star clusters that is applicable to the study of stars in general. The fundamental justification for this is because all of the stars in a cluster are thought to have formed practically simultaneously from the same cloud of interstellar space, therefore they should all have extremely similar characteristics. Accordingly, the primary distinguishing factor among stars in a cluster is their mass, yet if we examine the characteristics of one star (age, distance, composition, etc.).
The brilliant O and B stars in the open clusters emit powerful radiation that can ionize neighboring gas and produce emission nebulae as well. The brightest stars in an open cluster make up the majority of the cluster's brightness.
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when the cart reached the edge of the track and stopped (before it started going back to the hand), what was the acceleration?
The speed increases but acceleration decreases.
In mechanics, acceleration is the price of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an item's acceleration is given by means of the orientation of the net force performing on that object.
Acceleration is, rate at which pace modifications with time, in phrases of each speed and direction. A point or an item transferring in a direct line is increased if it hurries up or slows down. motion on a circle is multiplied even supposing the speed is regular, due to the fact the path is constantly changing.
Acceleration. pace is the fee of alternate of displacement. Acceleration is the charge of change of pace. speed is a vector quantity as it includes both value and course. Acceleration is also a vector amount as it's far simply the rate of trade of velocity.
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An object weighs 600N on moon
find it's mass on earth and moon
Find its weight on earth
Answer: 100N
Explanation:
Weight on earth = 600N
Let g= 10m/s^2 on earth
Mass on earth = 600/10 =60 kg
Now, since mass is a constant quantity so, it will remain 60 kg on the moon also.
Now, weight on moon = mg
m= mass =60 kg
g′ = acc. due to gravity on moon = 1/6th the value on earth
So, Weight on moon = 1/6th of the weight on earth
⇒ Weight on the moon =600 × 1/6 = 100 N
Hope it helps and good luck!
explain the integral form of the faraday's law. why does it violate kirchhoff's voltage law (kvl)? then why do we analyze our low-frequency circuits (which involve time-varying fields) using kvl?
According to Faraday's integral law, the magnetic flux changing at a given rate over time connecting the surface that the contour C encloses determines how E circulates around that surface.
What is the magnetic flux law?A given area's contribution to the magnetic flux is equal to the area times the portion of the magnetic field that is perpendicular to the area. The total magnetic flux on a closed surface has always been equal to zero.
What is referred to as flux?Flux is a physics term that describes how many electro magnetic field lines flow across a surface in a specific length of time. Field lines offer a way to see the size and direction of a field being measured.
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A Geiger-Muller (GM) tube can be used to detect ionising radiation. How many alpha particles entering the GM tube are needed to make the counter advance by one? Give your answer in numbers, not words.
Answer:
1
Explanation:
The counter advances each time an ionising particle enters a GM tube.
Only one alpha particle entering the GM tube is needed to make the counter advance by one.
What is Geiger-Muller (GM) Counter?A Geiger counter is a tool used to find and quantify ionized gas particle concentrations. It is widely utilized in fields including experimental physics, radiation dosimetry, and radiological defence. It consists of a metallic tube that is filled with gas and to which a high voltage supplied in multiples of 100V is applied. Alpha, beta, and gamma particles are all detected.
It is crucial to ensure that the least amount of radioactive material is delivered to human subjects when using radioactive isotopes in medical research studies on people. The radioactivity of materials must be measured with an extremely sensitive device in order to accomplish this. Geiger and Muller created a "particle detector" in 1928 that they named a "Geiger Muller Counter," or simply the "GM counter," to monitor ionizing radiation.
This Geiger-Muller (GM) tube can be used to detect ionizing radiation. Only one alpha particle entering the GM tube is needed to make the counter advance by one.
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what is a cepheid variable? what is a cepheid variable? a main-sequence star whose known luminosity makes it a good standard candle a type of luminous star whose variations in luminosity make it a good standard candle a bright source of variable x-ray emission, thought to harbor a supermassive black hole a type of galaxy whose variations in luminosity make it a good standard candle
Cepheid Variables stars are intrinsic variables which pulsate in a foreseeable way. In addition, a Cepheid star's phase (how often it pulsates) is directly related to its luminosity or brightness. Cepheid variable stars are good standard candles.
First, their luminosity is quite lofty (the most luminous Cepheids are 40,000 times more luminous than the Sun), so they can be noticed at large distances. Second, their luminosities can be determined from the Period-Luminosity Relation.
Through observations of Cepheid variables, astronomers have reckoned the distances to other galaxies. They compare the Cepheid variable's apparent brightness with its intrinsic brightness. The distinction between observed and actual brightness relents the distance.
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Answer:
a star whose luminosity pulses at a regular rate
Explanation:
got it on quiz right
qm.2 a particle has a velocity that is 90.0% the speed of light. if the wavelength of the particle is 1.5x10-15 m, calculate the mass of the particle.
If the wavelength of the particle is 1.5 x 10⁻¹⁵ m, the mass of the particle will be 1.636 × 10⁻²⁷ kg
Velocity of the particle = 90.0% of c ( speed of light)
Wavelength of the particle (λ) = 1.5 × 10⁻¹⁵ m
Mass of the particle = ?
Calculate the velocity of the particle
velocity = (90.0 / 100)(3 × 10⁸ m/s)
velocity = (0.90)(3 × 10⁸ m/s)
velocity = 2.70 × 10⁸ m/s
Now calculate the mass of the particle by using the following equation:
λ = h / mv
Rearrange the equation for mass
m = h / λv
value of h = 6.626 × 10⁻³⁴ Kg.m².s⁻¹
Put the values
m = (6.626 × 10-34 Kg.m².s⁻¹) / (1.5 × 10⁻¹⁵ m)(2.70 × 10⁸ m/s)
m = 1.636 × 10⁻²⁷ Kg
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a person slaps her leg with her hand, which results in her hand coming to rest in a time interval of 2.25 ms2.25 ms from an initial speed of 3.25 m/s3.25 m/s . what is the magnitude of the average contact force exerted on the leg, assuming the total mass of the hand and the forearm to be 1.55 kg1.55 kg ?
The magnitude of the average contact force exerted on the leg by the person is 2238.8N.
A person slaps her leg with her hand which results her hand to come to rest in a time interval of 2.25 millisecond from an initial speed of 3.25m/s.
According to second law of motion of Newton,
The average force applied by a body can be given by the change in momentum per unit time of the body.
So, we can write,
F = M∆V/t
Putting values,
F = 1.55 x 3.25 x 10³/2.25
F = 2238.8 N.
So, the magnitude of the average contact force exerted on the leg is 2238.8N.
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a lamina occupies the part of the disk in the first quadrant and the density at each point is given by the function . a. what is the total mass? b. what is the moment about the x-axis, ? c. what is the moment about the y-axis, ? d. where is the center of mass? ( , ) e. what is the moment of inertia about the origin, ?
The center of mass of the lamina would be in the middle of the axis and the mass of the lamina is 25.
For this, we will use the polar coordinates. According to the change of coordinates, where r and theta are the new parameters. Given a point (x,y) in the plane, r is the distance from (x,y) to the origin and theta is the angle formed between the line that joins the origin and the point, and the x-axis.
We need to describe the region D in terms of the new parameters. Replacing the values of x,y in the given inequality, we get that . Since and r>0 we get that r<=5. On the other side, in order to describe the whole region of the first quadrant, we need to sweep the angle theta from 0 to. With that, we can calculate the mass of the lamina as follows here, the extra r appears as the Jacobian coordinates.
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The natural abundance of si-28 (mass = 27. 98 amu) is 92. 23%. For si-29 (mass = 28. 98 amu), it is 4. 67%, and for si-30 (mass = 29. 97 amu), it is 3. 10%.
28.11 u is the Average atomic mass of Silicon.
Average atomic mass of Si
= 28×92.25+29×4.65+30×3.10÷100
=28.11 u
The mass of the components that make up an element's atom is referred to as its atomic mass. One-twelfth of the mass of the carbon-12 atom, which has an assigned atomic mass of 12 units, is expressed as a multiple of 1.992646547 1023 gram, or more precisely as 1.992646547 gram. One atomic mass unit is equivalent to 1.660539040 1024 grams on this scale (amu). The atomic mass unit is occasionally referred to as the dalton in honor of English scientist John Dalton (Da).
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Neutrons are a lot lower in mass than protons.
A. True
B. False
Answer:
False
Explanation:
As the mass of a neutron is slightly greater than the mass of a proton
Suppose you have a barometer with mercury and a barometer with water. How does the height hwater compare with the height hmercury?.
Mercury is 13.6 times denser than water, or by a factor of 13.6. If water were used in place of mercury, the barometer's height would be 13.6 times greater.
In a mercury barometer, the level of air pressure balances a mercury column whose height may be precisely measured. Mercury barometers are frequently adjusted for the local gravity value and the surrounding temperature in order to boost their accuracy.Therefore ,water is 13.6 times less dense than mercury, a water barometer would need to be 13.6 times taller than a mercury barometer. The formula for calculating pressure states that it is determined by multiplying the density, height, and gravitational acceleration.Since it has a high density, mercury is frequently employed in barometers, allowing for a column height that is appropriate for measuring atmospheric pressure.
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2. All forms of energy can exist as either ________ or ________ energy.
Answer:
Explanation:
Comment
This depends on your grade level. Because there are only two choices needed, I would say the answer is
Potential Energy orKinetic Energy.But recognize that when something burns, it is because of a change in chemical structure. For example CH4 + 2O2 ===> CO2 + 2H2O
Movement in the example is not as important as what is going on with the Methane Combined with the oxygen.
Answer:potential energy or kinetic energy.
Explanation: potential energy is the energy of position or condition, while kinetic energy is the energy of motion. Both forms of energy are important in understanding and analyzing the behavior and transformations of energy in various systems.
you throw a ball straight up with an initial velocity of 15.8 m/s. it passes a tree branch on the way up at a height of 6.81 m. how much additional time (in s) will pass before the ball passes the tree branch on the way back down?
Additional time taken before the ball passes the tree branch is 1.13s.
Here we have to find the additional time.
Given data:
Initial velocity(u) = 15.8 m/s
x is the height at which the ball reaches the greatest height after the height of 6.81m.
Height =( 6.81 + x)m
Final velocity (v) = 0
Acceleration due to gravity (g) = 9.8 m/s²
Formula:
v = u + at
0 = 15.8 - 9.8t
t = 15.8/ 9.8
= 1.66s
Now we have:
Average velocity = Average distance/ average time
0 + 15.8/ 2 = (x + 6.81)/ 1.66
7.9 × 1.66 = x + 6.81
13.114 - 6.81 = x
x = 6.30
As the distance is 6.30.
So the additional time taken is:
Average velocity = Average distance/ Average time
0+ v/ 2 = 6.30 / t
v = 12.6/t
Now we have
v = u + at
a = v-u/t
-9.8 =( 0 - 12.6/t)/ t
9.8 = 12.6/ t²
t² = 12.6/ 9.8
= 9/ 7
t = 3/ 2.645
= 1.13s
Therefore the time taken is 1.13s.
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Why are muscle and fat levels the only factors influencing flexibility impacted by personal decisions?
A.
Muscle and fat levels are mostly determined by heredity.
B.
Age, gender, and joint structure cannot be changed.
C.
Personal decisions have significant impacts on age and gender.
D.
Flexibility is not dependent upon muscle and fat levels.
Please select the best answer from the choices provided.
A
B
C
D
Answer:
B) Age, gender, and joint structure cannot be changed.
Explanation:
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a stationary object of mass 4kg is set in motion by a net force of 50N. If the object attains a speed of 5m/s in time t. Calculate the value of t
Answer: i got 0.4s
Explanation:
As the object is moving under constant force,we can apply the equation,
v=u+at where, v is the velocity attained after time t which had an initial velocity of u.
a=F/m=50/4=12.5ms^-2
Given, u=0
So, if v=5 then, t = 512.5 = 0.4s
the automobile wheel and tire shown weigh 10 kg. the outer edge of the wheel rim has a radius of 20 cm. the center of gravity of the wheel/tire combination is 1 mm off from the axis of rotation. determine the balancing weight needed.
The balancing weight needed is 20g
What is center of gravity?The center of gravity is the average position of the weight of an object. We can fully describe the movement of an object through space in terms of the displacement of the object's center of mass from one place to another and the rotation of the object around its center of mass if it is free to rotate.
Given,
Given radius of wheel rim (R): 20 cm
Center of gravity 1 mm away from axis of rotation (z-axis)
This indicates imbalance on x-y plane,
Now, let's assume unbalanced weight is more towards positive x-axis, hence the center of gravity is towards positive x-direction.
In order to statically balance the mass and bring center of gravity towards z-axis, we need to place similar amount of mass 1 mm in negative x-direction.
But as we know adding huge weight to wheel is always unpreferable so we will add M amount of weight on -20 cm in x-direction.
In order to balance the weight, moment about the central axis should be zero.
∑M₀ = 0
10000g × 1 mm = M × 200 mm
M = 10000/200
M = 20g
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select all that apply. in response to a specific stimulus, autonomic reflex arcs can trigger to help maintain homeostasis.
Internal organs unconsciously react to environmental changes as a result of reflexes, particularly autonomic reflexes, which help control homeostasis.
Why are reflexes important to maintaining homeostasis?Remember from the first module the importance of homeostasis. Reflexes help the body recognize changes and respond appropriately in order to maintain homeostasis. Reflexes happen unconsciously and automatically for a reason. Can you imagine how your life would be if you had to be conscious of the temperature of the environment you had just entered and then make conscious adjustments to maintain your internal temperature within the normal range? To comprehend how reflexes function, we will examine the basic components of a reflex arc and how they interact to produce the desired effect.There are many different ways to classify reflexes, but for the purposes of this discussion, we'll focus on two of them: somatic reflexes, which regulate skeletal muscle, and autonomic reflexes, which regulate smooth muscle, cardiac muscle, glands, and other body parts.To Learn more About reflexes refer to:
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a shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. (a) where is his image? (b) what is the focal length of the mirror? (c) what is its radius of curvature?
His image is formed at a 0.75m distance from the mirror while the focal length and the radius of curvature are 1.00m and 2.00m respectively.
To calculate the image distance you can use the formula for the mirror's magnification which is,
[tex]\begin{aligned}\\\\M&=\frac{V}{U}\end{aligned}[/tex]
Here V and U represent the image distance and the object distance measured from the mirror's centre.Therefore,[tex]\begin{aligned}\\\\0.25&=\frac{V}{3.00\,m}\\\\V&=0.75\,m\end{aligned}[/tex]
For the second part, you can use the lens formula as you know V and U now, as follows.[tex]\begin{aligned}\\\\\frac{1}{V}+\frac{1}{U}&=\frac{1}{f}\\\frac{1}{-0.75}+\frac{1}{3.00} &=\frac{1}{-f}\\f&=1.00\,m\end{aligned}[/tex]
For the final part, you should know that the radius of curvature is twice the focal length for these curvy optics. Therefore,[tex]\begin{aligned}\\\\R&=2f\\&=2.00\,m\end{aligned}[/tex]
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His image forms at 0.75m. The focal length of the mirror is 1.00m and the radius if curvature is 2.00m.
a) To calculate the image distance,
m=v/u where m is magnification, v is image distance and u is object distance.
Therefore,
0.25=v/3.00
v=0.75m
b) To calculate the focal length using the lens formula,
1/v+1/u=1/f
Therefore,
1/-0.75 + 1/3.00 =1/f
f=1.00m
c) The radius of curvature is twice the focal length.
Therefore,
R=2f
R=2.00m
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a ferryboat is 74 m wide and 8.1 m long. when a truck pulls onto it, the boat sinks 6.0 cm in the water. what is the mass of the truck?
352447.2 is the mass of the truck .
What is volume ?
Volume is a measure of the occupied three-dimensional space. It is often quantified numerically using SI units (such as cubic meters and liters) or various imperial units (such as gallons, quarts, and cubic inches). The definition of length (cube) relates to volume. That is, the amount of liquid (gas or liquid) that the container can hold, not the amount of space that the container itself moves.
In ancient times, volume was measured using similarly shaped natural vessels, and later standardized vessels were used. The volume of some simple 3D shapes can be easily calculated using arithmetic formulas. The volume of more complex shapes can be calculated using integral calculations if there is an equation that constrains the shape. Zero-, one-, and two-dimensional objects have no volume. In four dimensions and above, a concept analogous to ordinary volumes is a hypervolume.
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Draw a diagram of a projectile that shows what is happening to the vertical (y) velocity of a projectile as it moves along its path . You must include what is happening to the speed of the velocity on the way up the way down and the max height.
The vertical velocity of the projectile increases but reaches zero at the maximum height and begins to decrease.
What is a projectile?When we talk of the projectile, we are talking about the object that is moving along a parabolic path. Hence the object that is undergoing the projectile motion is going to have a curved path. Take an instance, when you kick a soccer ball, you have to notice that the ball would tend to curve as it moves up in the air and then begins to descend. That is a typical example of a projectile motion.
Now, we have to note that at the maximum height, the vertical velocity of the object would be zero. When I throw an object up, the vertical velocity of the object would continue to increase until the object reaches the maximum height where the vertical velocity is zero and then the vertical velocity of the object begins to decrease as shown in the image.
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two wheels of mass m and radius r are ittting motionless on the top of a ramp when both wheels are released both roll down the rump under gracity
F2=2F1, as f1 is smaller by a factor of 2 due to f2 having to have twice the radius of f1 and having the same acceleration.
In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. The vector quantity of accelerations (in that they have magnitude and direction). The acceleration of an object is determined by the direction of the net force exerted on it. Newton's Second Law states that an object's acceleration is the combined effect of two factors:
The amount of the net balance of all external forces acting on that thing is exactly proportional to the net resulting force; yet, depending on the materials used to construct it, the mass of the object is inversely related to mass.
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Numerical problems.
a) convert 300kelvin into the Celsius scale.
b) Convert 220° C into kelvin scale.
c) Convert 30° C into fahrenheit scale.
d) Convert 260° F into °C
Answer:
a) 27 degree Celsius
b) 493.15K
c) 86 Fahrenheit
d) 126.667 degrees celsius
Explanation:
a) To convert from Kelvin scale to Celsius scale, subtract 273 from Kelvin scale
Hence, 300 - 273 = 27 degree celsius
b) The temperature T in Kelvin (K) is equal to the temperature T in degrees Celsius (°C) plus 273.15, that conversion formula:
T(K) = T(°C) + 273.15
hence, 220 + 273.15 = 493.15K
c) The formula to convert Celsius to Fahrenheit is °F = °C × (9/5) + 32
F = [ C × (9/5) + 32 ]
Given that, C = 30
F = 30 × (9/5) + 32
F = 54 + 32
F = 86
Thus, 30 °C is equivalent to 86 °F.
d) Formula
(260°F − 32) × 5/9 = 126.667°C
A student rides her bicycle down a hill. Together, she and the bicycle have a mass of 56 kilograms. She is moving at 11 meters per second. What is her kinetic energy? PLEASE HELP!! NEED IN THE NEXT LIKE 10 MINS!!! THANK YOUU!!
The student has a Kinetic energy of 3,388 Joules.
What is energy?Energy exists in many different forms. Examples of these are: light energy, heat energy, mechanical energy, gravitational energy, electrical energy, sound energy, chemical energy, nuclear or atomic energy and so on. Each form can be converted or changed into the other forms.
Although there are many specific types of energy, the two major forms are Kinetic Energy (Working energy) and Potential Energy(Stored energy).
Mathematically, Kinetic Energy = [tex]\frac{1\\}{2} mv^2[/tex]
mass = 56kg
velocity = 11m/s
Kinetic Energy = [tex]\frac{1}{2}[/tex] x 56 x [tex]11^{2}[/tex]
Kinetic Energy = 28 x 121
Kinetic Energy = 3,388 Joules
In conclusion, the girl, while descending the hill on her bicycle has a kinetic energy of 3,388 Joules.
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A crate slides off the back of a flatbed truck that accelerated forward from rest. If the bed of the truck is frictionless, the crate falls off the back of the truck because.
The correct answer is due to Newton’s laws of motion i.e., an object at rest at rest remains at rest that’s why the crate falls back.
What governs motion, according to Newton?
Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion keeps moving in a straight path at a constant pace. An object's acceleration is determined by its mass and the force being applied.
The crate naturally prefers to stay at rest while the truck moves ahead, so the truck will often slide beneath it and leave the crate behind.
It is all due to Newton's First Law, specifically the inertia of motion or rest.
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The 70 kg student in figure p14. 43 balances a 1200 kg elephant on a hydraulic lift. What is the diameter of the piston the student is standing on?.
The diameter of the piston the student is standing on is 0.22 times greater than that of the piston the elephant is standing on.
What is mechanical advantage of a hydraulic lift?An illustration of Pascal's law is the hydraulic system.By exerting a modest force on the small piston, we can generate a bigger force on the large piston.At each piston, the ratios of force to area must be the same.Three practical tools that make use of Pascal's law are hydraulic brakes, lifts, and presses.Given parameters:
Mass of the student: m = 70 kg.
Mass of the elephant: M = 1200 kg.
Let the diameter of the piston the student is standing on is d.
and the diameter of the piston the elephant is standing on is D.
Using Pascal's law,
Weight of the student ÷ area of the piston the student is standing on = Weight of the elephant ÷ area of the piston the elephant is standing on.
⇒ 70 kg × g / π d² = 1200 kg × g / π D²
⇒ 1400 d² = 70 D²
⇒ d= 0.22D.
Hence, the diameter of the piston the student is standing on is 0.22 times greater than that of the piston the elephant is standing on.
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