The velocity of the experimental vehicle after 2 seconds is 14 m/s.
The displacement of the experimental vehicle after 2 seconds is 14 m.
What is the velocity and displacement of the experimental vehicle?The velocity of the experimental vehicle is the speed of the in a given direction starting from rest.
The velocity, v, of the experimental vehicle after 2 seconds is calculated using the formula below:
v = u + at
where;
u is the initial velocity = 0 m/s
a is the acceleration = 7 m/s²
t is time = 2 seconds
v = 0 + 7 * 2
v = 14 m/s
The displacement, s, of the vehicle is calculated below as follows:
v² = u² + 2as
14² = 0² + 2 * 7 * s
s = 196 / 14
s = 14 m
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Question
Stopping Distance
48.0 ft
49.0 ft
50.0 ft
51.0 ft
52.0 ft
2
The stopping distance for 10 cars traveling at 55 miles per hour is shown in the table above. What is the
mean (average) stopping distance for the 10 cars?
Frequency
1
2
3
2
How much potential energy does a log have if it weighs 112.7 N and is 3.400 m above the ground
Answer:
total potential energy is 383.18.
Explanation:
It is because that when we hold something at the influence of gravity than work is done . Similarly we know that
Potential Energy is Equal to the product of m g and h.Here weight gives the product of mass and acceleration due to gravity.so
PE = mgh
= 112.7×3.4
=383.18 joule
Unit of energy is joule
The four conducting cylinders shown in the figure are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries, which supply the necessary voltages to give the circuits the same current, I.
Rank the four voltages. V₁, V₂, V₃, and V₄. in order of decreasing value. Rank from largest to smallest. To rank items as equivalent, overlap them.
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The ranking of the voltages, V₁, V₂, V₃, and V₄ in the order of decreasing voltage value is; V₂ > V₃ > V₁ > V₄
What is the voltage of an electric circuit?A voltage is the difference in potential or pressure that pushes or causes the flow of electric current in a circuit or conducting loop.
The current flowing through the circuit can be found using the following formula;
[tex]I=\dfrac{V}{R}[/tex]
The formula for conductivity is presented as follows;
[tex]\sigma =\dfrac{l}{R\times A}[/tex]
Where;
σ = The conductivity of the material
l = The length
R = The resistance to electricity
A = The cross-sectional area of the conductor
Therefore;
[tex]R=\dfrac{V}{I}[/tex]
[tex]R=\dfrac{l}{A\times \sigma}[/tex]
[tex]\dfrac{V}{I} =\dfrac{l}{A\times \sigma}[/tex]
[tex]V=\dfrac{l \times I}{A\times \sigma}[/tex]
Based on the dimensions of the cylinders, obtained from a similar question, we get;
[tex]V_1=\dfrac{3\cdot L \times I}{\pi \cdot D^2\times \sigma} = 3\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}[/tex]
[tex]V_2= \dfrac{2\cdot L \times I}{\pi \cdot \dfrac{D^2}{4} \times \sigma} = \dfrac{8\cdot L \times I}{\pi \cdot D^2\times \sigma} = 8\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}[/tex]
[tex]V_3=\dfrac{L \times I}{\pi \cdot \dfrac{D^2}{4} \times \sigma} =\dfrac{4\cdot L \times I}{\pi \cdot D^2\times \sigma}= 4\times \dfrac{L \times I}{\pi \cdot D^2\times \sigma}[/tex]
[tex]V_4=\dfrac{L \times I}{\pi \cdot D^2\times \sigma} = 1\times \dfrac{ L \times I}{\pi \cdot D^2\times \sigma}[/tex]
Therefore;
V₁ = 3·V₄
V₂ = 8·V₄
V₃ = 4·V₄
The rank of the voltages in the order of decreasing value is therefore;
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A certain string can withstand a maximum tension of 55N before breaking.What is the maximum speed at which we can safely swing a 1.0 kg mass on a piece of this string 0.50m long in a horizontal circle?
Explanation:
Fmax = Fc = mv^2/r
[tex]m \frac{ {v}^{2} }{r} = f\frac{}{max} \\ {v}^{2} = \frac{(0.50 \: m)(55 \: n)}{1.0 \: kg} = 27.5 \: \frac{ {m}^{2} }{ {s}^{2} } \\ v = 5.2 \: \frac{m}{s} [/tex]
Which organelle produces energy for the cell? a. The nucleus b. The cytoplasm c. The mitochondria d. The cell membrane
Answer:
[tex]\boxed {\boxed {\sf C. \ The \ Mitochondria}}[/tex]
Explanation:
Let's examine each organelle and its function.
A. The Nucleus
This organelle is the control center. It regulates a cell's activities and processes. It also contains the DNA or genetic information.
B. The Cytoplasm
The cytoplasm is a jelly like liquid that fills the inside the cell. Organelles and molecules are suspended in it.
C. The Mitochondria
This is also called the powerhouse of the cell, because it produces energy! This is the site of cellular respiration, the process that turns oxygen and glucose into ATP (energy), water, and carbon dioxide.
D. The Cell Membrane
This covers and protects the entire cell. It keeps important substances in and allows them to enter the cell, while preventing harmful ones from entering.
Based on this information, we see that the mitochondria is the organelle producing energy for the cell and choice C is correct.
if im pushing on a wall what are the action and reaction force?
a) What is the magnitude of the force F⃗ on the −10 nC charge in (Figure 1)? Express your answer using two significant figures.
b) What is the direction of the force F⃗ on the −10 nC charge in (Figure 1)? Give your answer as an angle measured cw or ccw (specify which) from the +x-axis. Express your answer in degrees. Enter a positive value if the angle is counterclockwise and negative value if the angle is clockwise.
a) The magnitude of the force F on the −10 nC charge is 0.00134 Newton.
b) The direction of the force F on the −10 nC charge is 41.99° with horizontal line.
What is electric force?Electric force is the attractive or repulsive interaction between any two charged things.
a) the magnitude of the force F on the −10 nC charge = √{k (q₁Q/r₁²)²+(q₂Q/r₂²)²}
= kQ √( (q₁/r₁²)²+ (q₂/r₂²)²}
= 9×10⁹×10×10⁻⁹ √{ (1×10⁻⁹/(0.01)²)² +(10×10⁻⁹/(0.03)²)² }
= 0.00134 Newton.
b) the direction of the force F on the −10 nC charge
= tan⁻¹( (1×10⁻⁹/(0.01)²) ÷(10×10⁻⁹/(0.03)²) )
= 41.99°
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What is resistance? How does the resistance of a long wire compare with the resistance of a short wire? How does the resistance of a thick wire that has a large cross-sectional area compare with the resistance of a thin wire?
Answer:
The opposition offered by the conductor to the current flowing through it is known as resistance.
we know,
Resistance is directly proportional to the length of the conductor.Hence,the resistance offered by the long wire will be more than that of the short wire.
Also, Resistance is inversely proportional to the area of cross section of conductor.So,The Resistance in the thick wire will be less than that of the thin wire.
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Helen is para sailing. She sits in a seat harness which is attached by a tow rope toba speedboat. The rope makes an angle of 59.9* with the horziontal and has a tension of 364N. Determine the horziontal and vertical component of the tension force
To find the horizontal and vertical components of the tension force in para sailing, we can use the basic trigonometric ratios of sine, cosine and tangent.
How to use trigonometric ratios ?First, given the rope's angle (59.9 degrees) and the tension force (364 N), we can apply the following formula to determine the tension force's horizontal component (Fx): Fx = Tension force x cos(angle) = 364 N x cos (59.9).Next, we can use the angle of the rope and the tension force to find the vertical component (Fy) of the tension force using the formula: Fy = Tension force x sin(angle) = 364 N x sin(59.9)You must convert the angle to radians because these calculations, as you should be aware, employ radians rather than degrees.As a result, the tension force's horizontal component has the following formula: Fx = 364N x cos(59.9) = 225.98N roughly.Additionally, the vertical component of the tension force is roughly 318.6N, or Fy = 364N x sin(59.9)According to these calculations, the tension force has two components: a horizontal component that is 225.98 N and a vertical component that is 318 N.To know more about trigonometric ratios , check out :
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How are the states of water and the water cycle related?
Answer: Various forms or states of water are the parts of water cycle
Explanation:
The water cycle initiates with the evaporation of liquid water that can on the surface of earth or a part of water body (hydrosphere). The evaporated water becomes the part of water vapors. The water vapor is the gaseous form of water. The water vapors accumulate in the higher atmosphere. They condense and precipitate in the form of rain or liquid water or solid water in the form of snow that is the solid form of water.
A man is attempting to train his dog. He is pulling on the dog with a force of 52.4 Newtons at an angle of 35.1 degrees above the horziontal. Fimd the X and Y component of the applied Force
The formula for the horizontal component (Fx), which is the angle the force makes with the horizontal, is Ftens•cosine(). Ftens• sine() can be used to compute the upward component (Fy), where is the angle that the force produces with the horizontal.
What is the force's horizontal component?The portion of a force that works horizontally with regard to a body is known as its horizontal component. Its vertical component is known as its vertical component.
Why is moving the box with the rope horizontal easier?The pulling of the box is with the rope horizontal. When the rope is angled Because Is less than, the horizontal component (= F cos ) is less. As a result, it is the proper response.
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For science class your teacher gives you and your partner a ball she ask you to figure out a way to Balance forces that you apply to the ball how do you partner show this?
Two forces are said to be balanced when their strengths are equal but their directions of action are opposing.
What is Balanced Force?The forces are balanced if the pullers are exerting equal force but going in the opposite direction on either side of the rope.
Forces that are balanced can cancel one another out. The thing stays in place whenever there is a balanced force.
To lift, turn, move, open, close, push, pull, and many other things requires forces. You apply force to a ball when you throw it in order for it to travel through the air. An object can be under the influence of multiple forces at once.
Therefore, Two forces are said to be balanced when their strengths are equal but their directions of action are opposing.
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A car accelerates from the rest at 1.5 m/s^2 for 10 sec. What made the car move?
Accelerating linearly is simple.
What is Acceleration?When the velocity vector length of an object moving in a straight line changes in response to changes in the object's speed (speed being the magnitude of the velocity vector), we have acceleration. Increasing speed is frequently referred to as "positive acceleration" and decreasing speed as "negative acceleration."
A particle's acceleration is the rate at which its velocity changes over time. The term "constant acceleration" refers to the pace at which a particle's velocity changes.
We shall measure acceleration in metres per second per second because our basic units are metres and seconds.
Therefore, Accelerating linearly is simple.
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An electron is placed on a line connecting two fixed point charges of equal charge but the opposite sign. The distance between the charges is 30.0 cm and the charge of each is 4.50 pC. (a) Compute the force on the electron at 5.0 cm intervals starting from 5.0 cm from the leftmost charge and ending 5.0 cm from the rightmost charge. (b) Plot the net force versus electron location using your computed values. From the plot, can you make an educated guess as to where the electron feels the least force
Answer:
a) F_net = 6.48 10⁻¹⁸ ( [tex]\frac{1}{x^2} + \frac{1}{(0.300-x)^2}[/tex] ), b) x = 0.15 m
Explanation:
a) In this problem we use that the electric force is a vector, that charges of different signs attract and charges of the same sign repel.
The electric force is given by Coulomb's law
F =[tex]k \frac{q_2q_2}{r^2}[/tex]
Since when we have the two negative charges they repel each other and when we fear one negative and the other positive attract each other, the forces point towards the same side, which is why they must be added.
F_net= ∑ F = F₁ + F₂
let's locate a reference system in the load that is on the left side, the distances are
left side - electron r₁ = x
right side -electron r₂ = d-x
let's call the charge of the electron (q) and the fixed charge that has equal magnitude Q
we substitute
F_net = k q Q ( [tex]\frac{1}{r_1^2}+ \frac{1}{r_2^2}[/tex])
F _net = kqQ ( [tex]\frac{1}{x^2} + \frac{1}{(d-x)^2}[/tex] )
let's substitute the values
F_net = 9 10⁹ 1.6 10⁻¹⁹ 4.50 10⁻⁹ ( [tex]\frac{1}{x^2} + \frac{1}{(0.30-x)^2}[/tex] )
F_net = 6.48 10⁻¹⁸ ( [tex]\frac{1}{x^2} + \frac{1}{(0.300-x)^2}[/tex] )
now we can substitute the value of x from 0.05 m to 0.25 m, the easiest way to do this is in a spreadsheet, in the table the values of the distance (x) and the net force are given
x (m) F (N)
0.05 27.0 10-16
0.10 8.10 10-16
0.15 5.76 10-16
0.20 8.10 10-16
0.25 27.0 10-16
b) in the adjoint we can see a graph of the force against the distance, it can be seen that it has the shape of a parabola with a minimum close to x = 0.15 m
How a body is charged ?
Answer:
Explanation:
Following are the three important ways by which a body can get charged. ⇒ By conduction :When an uncharged body is made in contact with a charged body, the charge flow into the non charged body and the body gets charged. ⇒ By rubbing: When a body is rubbed with another body, both of them gets charged.
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work done =force /area
=500/50
power =work done * time taken
a taxi accelerates from 10m/s to 28m/s in 6sec find the average acceleration ?
Answer:
3m/s^-2
Explanation:
a=(v-u)/t where v is the final velocity at 28 m/s and u is the initial velocity at 10m/s and t is the time taken at 6 seconds
a=(28-10)/6 = 3
What is meant by half life ?
By changing the frequency of an EM wave, the _____ of the wave is changing.
a) speed
b) phase
c) amplitude
d) energy
e) both b and d
By changing the frequency of an EM wave, both the energy and phase of the wave is changing. The correct option is e.
What is the frequency?Frequency is the number of times a wave passes through a particular point in one second.
The time interval to 1° of phase change is inversely proportional to the frequency.
There is a change in phase with changing frequency.
Therefore, by changing the frequency of an EM wave, the energy and phase of the wave is changing.
The correct option is e.
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Mention four factors on which the amount of precipitation intercepted by vegetal cover depend on
Precipitation amount, storm frequency, and severity, storm duration, kind of precipitation, wind during storm, and wind during evaporation are the main precipitation and storm elements that influence interruption loss (Kenneth, 1996).
What does it signify when vegetation blocks precipitation?All procedures that stop rainfall from instantly reaching the soil are referred to as interceptions. The two main ways that vegetation intercepts water are by catching it on leaf surfaces throughout the canopy and by depositing litter on the ground.
Intercepted precipitation: What is it?Precipitation that is intercepted by leaves, plant branches, and the forest floor prevents it from reaching the soil and instead stays on the surface.
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Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Hooke's law :
F=-K.X
The value of x is 0.04m and restoring force is 9 N
(a) From the figure, the spring force balances force due to gravity.
So, [tex]\frac{1}{2} kX^{2} = mg[/tex]
Where, k = spring constant = 50N/m
X = compressed distance = L+x = 0.1+x
m = mass = 50 g = 0.05Kg
g = acceleration due to gravity = 10
Putting these values in above equation, we get: x= 0.04m
(b) Using Hooke's law, F = kx
Where, k = spring constant =50N/m
x = distance = 180mm = 0.18 m
Putting these values in above equation, we get restoring force F = 9N
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As shown in the picture above, an ice skater is skating at a constant speed in a circle. Is she accelerating? Explain your answer and draw the direction of the velocity in point A, B, C, and D.
Yes, the skater is accelerating.
Acceleration is a change in speed OR direction OR both. Since she's skating in a circle, her direction is constantly changing, so she is accelerating.
At A, her velocity points down.
At B, her velocity points right.
At C, her velocity points up.
At D, her velocity points left.
Compared to using analog signals, what is an advantage of transmitting
information using digital signals?
A. Digital signals become stronger as the distance from their source
increases.
B. Digital signals are more secure.
C. Digital signals have a continuous range of values.
D. Digital signals can use the cloud to store and access data.
Answer:
B. Digital signals are more secure
Explanation:
You want to know an advantage of transmitting information using digital signals.
Digital signalsDigital signals are characterized by having a few discrete states. In the simplest case, those states are {transmitting, not transmitting}. Modern digital signals are often transmitted using numerous combinations of phases, frequencies, and amplitudes.
Analog signalsAnalog signals are characterized by a continuum of the characteristic used to convey the information. When amplitude modulation is used, the information of interest is conveyed by the amplitude of the signal. Similarly, when frequency or phase modulation is used, the information is conveyed by the frequency or phase of the signal, respectively.
That is, analog signals have a continuous range of values.
DistanceAny signal that is broadcast will have a signal level that decreases with distance from the source of the broadcast. Any signal conveyed through a medium will be subjected to distortions and losses due to the interaction of the signal and the medium. Hence all signals become weaker as the distance from the source increases.
NoiseThe receiver of a signal will, in general, receive signals other than the one intended. These are referred to as "noise." A transmission channel may have many sources of noise, including other transmitters, Cosmic Background Radiation, thermal noise in the components of the receiver or transmission medium, and others.
For analog signals, noise can directly affect the amplitude or phase being used to represent the signal of interest. Hence it changes the received value so it is not the same as the transmitted value.
The states of digital signals are designed to be sufficiently far apart that any corruption by noise will not affect the value as interpreted by the receiver. Thus, in terms of corruption of the information, we can say digital signals are more secure.
__
Additional comment
In radio transmission, noise is generally an addition to the signal. The weaker the analog signal, the greater the effect of noise. Broadcast radio began as AM radio: amplitude modulated. As the signal weakens, noise becomes a greater portion of the amplitude, so the receiver hears "static" where they want to hear voice or music.
FM, frequency modulated, radio replaced AM radio in order to avoid this issue with noise. The frequency of a signal is less likely to be corrupted. However, as the signal weakens, it can be difficult to determine its frequency, so that method of analog transmission also succumbs to noise.
Digital transmission in a noisy channel can also be corrupted by noise. Ultimately, the rate of information transmission in a given channel depends on the channel bandwidth and the signal-to-noise ratio. The integrity of a signal can be improved through coding that allows missing or corrupted bits of information to be determined based on the other bits that are received.
"Security" of a transmission can have different meanings. Here, we understand it to refer to the integrity of the information being conveyed. It could also relate to the difficulty of intercepting the transmission, or the difficulty of understanding the meaning of the received signal. Digital signals may or may not be more "secure" in these other meanings of the word.
A sample of copper (specific heat capacity of copper is 0.386J/g*C) absorbs 1200 J of heat and
the temperature of the water it is being heated in increases from 27*C to 95*C, what mass of
copper was heated?
The mass of copper heated from a temperature of 27°C to 95°C is 45.72 g.
What is mass?Mass is the quantity of matter contained in a body, The units of mass are
Kilogram (kg)Gram (g)Milligram (mg) etc.To calculate the mass of the copper, we use the formula below.
Formula:
m = Q/cΔt.................. Equation 1From the question,
Given:
m = MassQ = Amount of heatc = Specific heat capacity of copperΔt = Change in temperatureFrom the question,
Given:
Q = 1200 Jc = 0.386 J/g°CΔt = 95-27 = 68°Substitute these values into equation 1
m = 1200/(0.386×68)m = 45.72 gHence, the mass of copper is 45.72 g.
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The anterior cruciate ligament in a woman's knee is 2.5 cm long and has a cross- sectional area of 0.54 cm2. If a force of 3000 N is applied longitudinally, how much will the ligament stretch? assume that young's modulus (1.8x10¹0 N/m²)
If a longitudinal force exceeding 3000 N is applied. Young's modulus for that object equals DL = 0.0139m.
Which is better, a greater or lower Young's modulus?The greater the modulus, or the lesser elasticity strain that arises from the application of a given stress, the stronger that medium is. Young's modulus, sometimes referred to as mechanical performance, is a metric used to determine how stiff a material is. In other words, it is readily bent or stretched.
Young's modulus really measures a material's ability to withstand changes in length when compressed or under stress along its length. Divide the primary stresses by the strain to get Young's modulus, commonly known also as young's modulus.
Young's modulus Y= stress/strain
= (F/A) /(DL/L)
F=3000N,
A=0.54 cm²,
L=2.5cm,
Y=0.1 Gpa
0.1 * 10⁹ = (3000/(0.54* 10⁻⁴) (2.5 ⋆ 0.01/DL)
DL = 0.0139m
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An appeal of a state appellate court ruling can next be made to:
• A. a state trial court.
• B. the state supreme court.
• C. the U.S. Supreme Court.
• D. a U.S. Court of Appeals.
The decision of the country's highest court may then be appealing to that Supreme Court of both the U. S., but only in cases where the issue involves federal law.
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Why is Supreme so expensive?Rebellious and distinctive brand image! Despite giving a venture - capital group a 50% ownership in the company, Supreme has been able to keep its skater roots and fan base. To top it all off, the Supremes' emblem is distinctive, outstanding, and simple to recognize.
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H
Question 12 of 15:
Select the best answer for the question.
12. A 150-lb block of ice has a temperature of 22 F. How much heat will the ice absorb before it begins to melt?
O A. 1500.0 Btu
O B. 1663.2 Btu
C. 756.0 Btu
OD. 2419.2 Btu
Answer:
I think it is A
Explanation:
It is A because if you calculate the weight minus the F, then you have to divide that by the amount of absorbation (the lb) before timsing it by 1000.
Name and describe at least SIX engineering challenges that the Mars copter, Ingenuity, had to overcome in order to be built/to travel to Mars/to function on Mars. BE SPECIFIC with your answers!!
Answer:
Name and describe at least SIX engineering challenges that the Mars copter, Ingenuity, had to overcome in order to be built/to travel to Mars/to function on Mars. BE SPECIFIC with your answers!!
acceleration to move 650N with mass of 100 kg
Concluding statement about electricity like a sentence or two
Things are:
Wind turbines
Hydroelectric
Geothermal heat
Write it in like a concluding statement feel
Wind turbines, hydroelectric, and geothermal heat have been relied upon for decades to provide a renewable and clean energy source to people around the world. These alternative energy technologies provide optimal clean and renewable energy sources for many communities and countries striving for sustainable development.