The Earth's atmosphere caused by blurring would govern the smallest angular size that could be resolved by the telescope.
Angular size refers to an object's apparent size as seen from an observer on Earth. Since telescopes collect and magnify the light from distant objects, the least angular size can be affected by the mount of lights gathered which could be affected by fuzzy earth atmosphere. Earth's atmosphere places serious limitations upon astronomical observations for two primary reasons.
First, the atmosphere is not equally transparent at all wavelengths and certain wavelength regimes are completely inaccessible from the ground. Hence, in desiring to build a telescope with a specific angular size, the earth atmosphere must be factored in.
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Newton's law of cooling states that the temperature of an object T, in surrounding air with temperature T, will behave according to the formula: T() = Aekt +Ts where t is time in minutes, A is the difference between the temperature of the object and the temperature of its surroundings and k is a constant A turkey is taken out of the oven with an internal temperature of 165°F and is allowed to cool in a a 75°Froom. After half an hour, the internal temperature of the turkey is 145°F. a. Find the formula that models this situation we need A, Ts and k. Here is a little help: Internal temperature of the turkey when it came out of the oven The Temperature of the room the Turkey in in after leaving the oven = A= (The difference in the two temperatures above) (this is Ts) Replace A and Tg in the equation T(t) = Aekt +Ts. To find k, use the information that when t = 30, T(30) = 145, and solve for k. b. To the nearest degree what will the temperature of the turkey be 50 minutes after it leaves the oven? c. To the nearest minute, how long will it take the turkey to cool to 110 °F?
According to Newton's law of cooling, The formula that models the cooling of the turkey is T(t) = (165 - 75) * e^(k * t) + 75. The temperature of the turkey 50 minutes after it leaves the oven will be approximately 118°F.
(a) The formula that models the cooling of the turkey is T(t) = (165 - 75) * e^(k * t) + 75.
In this case, the temperature difference between the turkey and the room, when it came out of the oven, is A = 165 - 75 = 90°F, and Ts (the temperature of the room) is 75°F. By substituting these values into the equation T(t) = A * e^(k * t) + Ts, we get T(t) = 90 * e^(k * t) + 75.
To find the value of k, we can use the information that when t = 30 minutes, T(30) = 145°F. Substituting these values into the equation and solving for k, we have 145 = 90 * e^(k * 30) + 75. Rearranging and solving, we find k ≈ -0.0207.
(b) The temperature of the turkey 50 minutes after it leaves the oven will be approximately 118°F.
To calculate the temperature at t = 50 minutes, we can use the formula T(t) = 90 * e^(-0.0207 * t) + 75. Substituting t = 50, we have T(50) = 90 * e^(-0.0207 * 50) + 75. Evaluating this expression, we find T(50) ≈ 118°F.
(c) It will take approximately 145 minutes for the turkey to cool to 110°F.
To determine the time it takes for the turkey to reach a temperature of 110°F, we can rearrange the equation T(t) = 90 * e^(-0.0207 * t) + 75 and solve for t. So, 110 = 90 * e^(-0.0207 * t) + 75. Solving this equation, we find t ≈ 145 minutes.
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write any two different between work and power?
Answer:
1. Work Is a type of Physical Activity
2. Power is Basically Having control of Society
Explanation:
Can sugar molecules produced from photosynthesis be rearranged into different compounds carry out life process
Answer:
Yes, the sugar molecules produced from photosynthesis can be rearranged into different compounds to carry out life processes such energy producing compounds, energy storage compounds, body building compounds, and compounds of other types of food
Explanation:
a) The sugar can be broken down in a plant cell to produce ATP and then energy through cellular respiration as follows;
C₆H₁₂O₆ + O₂ 6CO₂ + 6H₂O + ATP
The produced energy can be used as power for cellular activities, such as the synthesis of protein and cell division
b) The produced sugar can be linked together by enzymes to form starch which is a form of chemical storage of energy as follows;
Sugar C₆H₁₂O₆ transformed into starch (C₆H₁₀O₅)ₙ
c) The sugar can be used in building the plant body by forming cellulose which is a form of starch
d) The sugar can be transformed into proteins and fat which are other types of food such as compounds containing sugar produces compounds containing fat based compounds
[OU.04]Two stars, Star 1 and Star 2, are at almost equal distances from Earth. The table below shows the masses of the two stars.
Name of Star Mass of Star (in million solar masses)
Star 1 3.61
Star 2 11.73
I am lost on this question HELP
Which of these statements is most likely correct about the stars?
Earth exerts a greater gravitation force on Star 1 than on Star 2.
Earth exerts a greater gravitation force on Star 2 than on Star 1.
Star 1 attracts Star 2 with a greater gravitational force than Star 2 attracts Star 1.
Star 2 attracts Star 1 with a greater gravitational force than Star 1 attracts Star 2.
Answer: Which of these statements is most likely correct about the stars?
Star 2 attracts Star 1 with a greater gravitational force than Star 1 attracts Star 2.
No, because Third Newton Law states that both forces are equal in magnitude.
Earth exerts almost equal gravitation force on both the stars.
No, because the Universal Gravitational Law, estblished by Newton, states the atraction force to two masses is proportional to the product of the masses.
Star 1 attracts Star 2 with a greater gravitational force than Star 2 attracts Star 1.
No (same reason for the first statement)
Earth exerts greater gravitation force on Star 2 than on Star 1.
Right. This is the correct statement. Given the mass of Star 2 is greater than the mass of Star 1, by the Universal Gravitational Law, the earth exerts greater gravitational attraction on Star 2.
Explanation:
:)
Each external force acts on the system for 10 seconds. Rank the change in momentum of each of the cart-cart systems from largest to smallest. (The label of “m” or “2 m” desginates the relative mass of each cart.)
It is possible to have some of the categories below BLANK since you may have items that are EQUAL to each other.
Put the largest as far up as you can, and the smallest as far down as you can
Answer:
thanks me later
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A globe (model of the Earth) is a hollow sphere with a radius of 16 cm. By wrapping a cord around the equator of a globe and pulling on it, a person exerts a torque on the globe of 120 N • m for 1.2 s. What angular momentum does the globe have after 1.2 s?
Answer:
144 kg m^2/s
Explanation:
When a body is lifted through a height h, the work done on it appears in the form of its: (a) kinetic energy (b) potential energy (c) elastic potential energy (d) geothermal energy
The work done on a body when it is lifted through a height h appears in the form of its potential energy. Therefore, option (b) is the correct answer.
What is Geothermal Energy?
Geothermal energy is a type of renewable energy that is derived from the heat generated deep beneath the Earth's surface. It is produced by harnessing the naturally occurring heat from the Earth's core, which can be used to generate electricity or heat buildings directly. This energy can be accessed by drilling deep wells into the Earth's crust and tapping into the hot water and steam that is naturally present in underground reservoirs.
When a body is lifted through a height h, the work done on it appears in the form of potential energy. This is because the energy is stored in the body due to its position or configuration, rather than its motion.
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Nick parks his car at Target and walks 150 ft. north to get to the store. On his way back to the car, he walks 50 ft. before pausing when he sees a sign for discounted ice cream. What is his distance? What is his displacement?
Relate a real life phenomena with each branch of physics..
Answer:
Absolutely no real-life phenomena/ uses are possible that are related to any branch of physics, except:
1 The device you are reading this answer on. (quantum mechanics, electronics )
2 The air conditioner in your room. ( electromagnetism, electronics )
3 The satellites and space stations in space which will help in the deciphering of the universe will help us look for a suitable planet when we render the earth useless. ( general and special relativity, classical mechanics )
4 Ohh. I forgot, do you wear clothes, well they are made in factories where factories run on the principles of thermodynamics, which is physics.
5 Ever gone somewhere? Well, the transportation uses classical mechanics, thermodynamics, electromagnetism, relativity ( if you know Global Positioning System )
6 GPS itself! It’s used in online maps, navigating, and this sort of stuff. It works on general relativity.
Honestly, this list is endless.
The path of motion of a 8-lb particle in the horizontal plane is described in terms of polar coordinates as r = (2 t + 1)ftand θ = (0.2 t2 − t) rad, where t is in seconds
Part A
Determine the magnitude of the unbalanced force acting on the particle when t = 3 s .
Answer:
r=(2(2)+1)=5
the magnitude is 5
A 45 kg mass is dragged 50 m over a surface. If 1.0 kW of power is produced over 10 seconds,
what is the coefficient of friction for the surface?
Answer:
Approximately \(0.45\) (assuming that the surface is level, the mass is moving at constant velocity, and that \(g = 9.81\; {\rm m\cdot s^{-2}}\).)
Explanation:
With a power of \(P = 1.0\; {\rm kW} = 1.0\times 10^{3} \; {\rm W}\), the work that would be done over \(t = 10\; {\rm s}\) would be:
\(\begin{aligned}(\text{work}) &= (\text{power})\, (\text{time}) \\ &= (1.0\times 10^{3}\; {\rm W})\, (10\; {\rm s}) \\ &= 1.0 \times 10^{4}\; {\rm J}\end{aligned}\).
Divide work by distance to find the force that did the work:
\(\begin{aligned} (\text{force}) &= \frac{(\text{work})}{(\text{distance})} \\ &= \frac{1.0\times 10^{4}\; {\rm J}}{50\; {\rm m}} \\ &= 200\; {\rm N}\end{aligned}\).
If this mass is moving at a constant velocity, the magnitude of friction on this mass will be equal to that of the external force, \(200\; {\rm N}\).
If the surface is level, the magnitude of the normal force on this mass will be equal to that of weight:
\(\begin{aligned}(\text{weight}) &= (\text{mass})\, g \\ &= (45\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-2}}) \\ &\approx 4.41 \times 10^{3}\; {\rm N}\end{aligned}\).
Divide the magnitude of friction by normal force to find the coefficient of friction:
\(\begin{aligned}& (\text{coefficient of friction}) \\ =\; & \frac{(\text{friction})}{(\text{normal force})} \\ \approx\; & \frac{200\; {\rm N}}{(45\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}))} \\ \approx \; & 0.45\end{aligned}\).
water flows through a pipe with a cross-sectional area of 0.002 m2 at a mass flow rate of 4 kg/s. the density of water is 1 000 kg/m3. determine its average velocity. multiple choice question. 0.02 m/s 2 m/s 200 m/s 20 m/s 0.2 m/s
The average velocity of water flowing through a pipe with a cross-sectional area of 0.002 m² at a mass flow rate of 4 kg/s is 2 m/s.
What is the formula for average velocity?The formula for average velocity is:
v = Q / A
Where:
v is the average velocityQ is the volume flow rateA is the cross-sectional area of the pipeThe formula for volume flow rate is:
Q = m / ρ
Where:
m is the mass flow rateρ is the density of the fluidSubstituting the values:
v = Q / Av = (m / ρ) / Av = m / (ρA)Given that the cross-sectional area of the pipe is 0.002 m², the mass flow rate is 4 kg/s, and the density of water is 1000 kg/m³, the average velocity is:
v = 4 / (1000 × 0.002)v = 2 m/sTherefore, the average velocity of water flowing through a pipe with a cross-sectional area of 0.002 m² at a mass flow rate of 4 kg/s is 2 m/s.
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A wave is traveling to the right at a speed v. The wave has an amplitude of 7 cm and a wavelength of 10 cm. Another wave is traveling to the left at the same speed v. The second wave also has an amplitude of 7 cm and a wavelength of 10 cm. Will these two waves result in a standing wave
Yes, these two waves will result in a standing wave. When two waves with the same amplitude and wavelength travel in opposite directions and have the same speed, they interfere with each other and create a standing wave pattern.
The points where the waves are in phase (constructive interference) will create regions of high amplitude (called antinodes), while the points where the waves are out of phase (destructive interference) will create regions of low amplitude (called nodes). Therefore, in this case, the two waves will combine to form a standing wave pattern with nodes and antinodes spaced 5 cm apart.
These two waves with equal amplitudes (7 cm), wavelengths (10 cm), and speeds (v), but traveling in opposite directions, will result in a standing wave. This occurs because the waves will interfere constructively and destructively, creating nodes and antinodes that appear stationary.
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A projectile is fired straight upward from Earth's surface with a speed that is half the escape speed: If R is the radius of Earth; the highest altitude reached, measured from the surface, is: A) RI4 B) R/3 C) Ri2 D) R E) 2R
The highest altitude reached, measured from the surface, is R i^2 which is option (c ) .
A projectile is a body that is hurled or thrown with some velocity into the air and then falls to the ground under the force of gravity. The most common examples of projectiles are a ball that is thrown from a height, a bullet that is fired from a gun, a cannonball that is launched from a cannon, or a stone that is thrown up into the air.
Each of these objects moves through the air and experiences the effects of gravity.
The highest altitude that a projectile reaches can be computed using the following formula;
h = (v₀² / 2g), Where h is the maximum height of the projectile, v₀ is the initial velocity of the projectile, and g is the acceleration due to gravity. When the projectile reaches its highest altitude, its final velocity is zero because it has stopped moving upwards.
Therefore, using the formula; v² = v₀² + 2gh, Since the projectile is fired straight upward, its final velocity will be zero.
Hence, using the formula for escape velocity, we have;
ve = √(2GM/R), where G is the gravitational constant, M is the mass of the earth, and R is the radius of the earth.
Half the escape velocity would be; v₀ = ve/2. Substituting this value in the formula for the maximum height gives;
h = (v₀² / 2g) = ((ve / 2)² / 2g) = (Ri² / 2) = Ri².
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a car travels for two hours at an average speed of 36 km/h how far will the car travel
Answer:
259200
Explanation:
use the formula distance= speed x time
change the 2 hours to seconds (7200) and multiply that number by 36 and it'll give you 259200
Answer:
12 kilometers and hour
Explanation:
Mars has a small moon, Phobos, that orbits with a period of 7 h 39 min. The radius of Phobos' orbit is 9.4×106m. Use only this information (and the value of G) to calculate the mass of Mars.
Mass of the mars is 6.48 * \(10^{23\\\) kg.
Mars, the fourth planet from the Sun, is a dusty, cold desert world with a thin atmosphere.
Phobos is the larger of the two heavily cratered Martian moons and is dominated by three large craters.
Orbit period for Phobos = T = 7 h 39 min = 459 min
Radius of Phobos' orbit = r = 9.4 * \(10^{6}\) m
According to the Gravitational force and Centripetal force,
here both forces will be equal,
therefore (GmM/r²) = mrω²
m = mass of the Phobos
M is the mass of Mars
r is the Phobos' orbit radius
ω = (2\(\pi\)/T) = (2\(\pi\)/459)
G is the gravitational constant = 6.67 * \(10^{-11}\)
(GmM/r²) = mrω²
M = (ω²r³/G)
M = (2\(\pi\))² * (9.4 * \(10^{6}\))³/ (459 * 60)³ * 6.67 * \(10^{-11}\)
M = 6.48 * \(10^{23\\\) kg
Mass of the planet mars is 6.48 * \(10^{23\\\) kg.
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Imagine that you are the early inventor of the compass. Write an advertisement for your product that tells explorers how a compass works.
Introducing the revolutionary new compass - the perfect tool for exploring the world! With the help of the compass, explorers can now easily determine their location and direction with just a few simple steps.
What is magnetic compass?In navigation or surveying, a magnetic compass is a tool that uses a magnetic pointer that aligns with the Earth's magnetic field to determine direction on the planet's surface. The magnetic compass, which comes in a variety of configurations and is the oldest and most widely used type of compass, is used by surveyors and is employed in ships, aeroplanes, and other ground vehicles.
The finding that a piece of lodestone, a naturally occurring magnetic mineral, when floated on a stick in water, tends to align itself so that it points in the direction of the polestar was made by seamen in China and Europe sometime in the 12th century.
What is earth's magnetic field?The magnetic field that emanates from the inside of the Earth into space is known as the geomagnetic field, and it interacts with the solar wind, a stream of charged particles that travels out from the Sun, there. The motion of convection currents of a mixture of molten iron and nickel in the Earth's outer core, which are brought on by heat escaping from the core and are a result of a natural phenomenon known as a geodynamo, is what creates the magnetic field.
Introducing the revolutionary new compass - the perfect tool for exploring the world! With the help of the compass, explorers can now easily determine their location and direction with just a few simple steps. The magnetic compass needle points to the south pole when it is suspended freely and always stays in true north-south alignment. With the compass, you'll never struggle to find your way again. Invest in the compass today and become the master of your own destiny!
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a super happy fun ball is dropped from a height of 11 feet and rebounds 13 14 of the distance from which it fell. how many times will it bounce before it's rebound is less than 1 foot? it will bounce times before its rebound is less than 1 foot. how far will the ball travel before it comes to rest on the ground? it will travel feet before it comes to rest on the ground.
Therefore, the super happy ball will take 32 bounces and travel the distance of less than 1 foot.
First bounce = 13 / 14 × 10 = 130 /14
using geometric progression where the common ratio = 13/14, the first bound = 130/14
ar^n-1 < 1
substitute the values into the equation
130 /14 × 13/14^(n-1) < 1
(13/14)^n-1 < 1÷ (130/14)
(13/14)^n-1 < 14 / 130
take log of both side
log (13 /14)^n-1 < log ( 14/130)
n-1 log (13 /14) < log ( 14/130)
since log (13/14) negative
n-1 > (log( 14/130)) ÷ ( log (13/14)
n - 1 > 30.07
n > 30.07 + 1 > 31.07
The 32 bounce will the travel less than 1 foot.
Therefore, the super happy ball will take 32 bounces and travel the distance of less than 1 foot.
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What acceleration does the force of earth's gravity peoduce
suppose you have a lens system that is to be used primarily for 700-nm red light. what is the second thinnest coating of fluorite (magnesium fluoride) that would be nonreflective for this wavelength?
Therefore, the second thinnest coating of fluorite (magnesium fluoride) that would be nonreflective for 700-nm red light is approximately 126.81 nm.
To determine the second thinnest coating of fluorite (magnesium fluoride) that would be nonreflective for 700-nm red light, we can use the concept of interference and the equation for the thickness of a nonreflective coating.
The thickness of a nonreflective coating for a given wavelength is approximately equal to λ/4n, where λ is the wavelength and n is the refractive index of the coating material.
For magnesium fluoride (MgF2), the refractive index for red light (700 nm) is approximately 1.38.
Plugging these values into the equation, we can calculate the thickness of the coating:
Thickness = λ/4n = (700 nm)/(4 * 1.38) ≈ 126.81 nm.
It's worth noting that this value assumes ideal conditions and a single-layer coating. In practical applications, multiple layers or more complex coating designs may be employed to achieve optimal anti-reflective properties.
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During a chemical reaction, some substances are completely consumed while others my not be. What is the substance that is completely consumed in a chemical reaction?
Question 3 options:
reactant
product
a limiting reactant
Answer:
It is Limiting Reactant
Explanation:
Draw a ray diagram for a diverging lens that has a focal length of -10 cm when an object is placed 30 cm from the lens's surface. Calculate the position of the image and list the characteristics of the image.
Explanation:
Hello, nice to meet you.
this answer will help for you
What are some model limitations?
Answer:
Missing Details, Most Are Approximations,Simplicity
Explanation:
I just had this question
What is another name for constructive interference?
A. Up
B. Down
C. Reinforcement
D. Cancellation
Why ultrasound is useful in medical field???
Answer:
It allows you to see fetuses before they are born.
Explanation:
because it has many helpful measures....
it helps in breaking and crushing the kidney stones...due to its high frequency....
a person riding in an elevator stands on a metric scale. if the mass of the person is 60.0 kg and the elevator accelerates upward with an acceleration of 4.90 m/s2, what is the reading on the scale?
The reading on the scale is 882.6 N when the elevator accelerates upwards with an acceleration of 4.90 m/s².
Given that the mass of a person is 60.0 kg and the elevator accelerates upwards with an acceleration of 4.90 m/s², we have to determine the reading on the scale.
Let F be the force exerted by the scale on the person. Then, by Newton's second law of motion, the net force acting on the person is Fnet= m * a
where m = 60.0 kg is the mass of the person and a = 4.90 m/s² is the acceleration of the elevator. Hence, the net force acting on the person is given by;
Fnet = 60.0 kg * 4.90 m/s²
Fnet = 294.0 N
Therefore, the scale reading is equal to the force exerted by the scale on the person. Since the elevator is accelerating upwards, the force exerted by the scale on the person is greater than the weight of the person, which is the force of gravity acting on the person.
The force of gravity acting on the person is given by;
Fg = m * g, where g = 9.81 m/s² is the acceleration due to gravity. Hence, the force of gravity acting on the person is given by;
Fg = 60.0 kg * 9.81 m/s²Fg = 588.6 N
Therefore, the scale reading is given by the sum of the force of gravity acting on the person and the net force acting on the person;
F = Fg + Fnet
F = 588.6 N + 294.0 N
F = 882.6 N
Thus, the reading on the scale is 882.6 N when the elevator accelerates upwards with an acceleration of 4.90 m/s².
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A fire helicopter carries a 590 kg bucket
at the end of a 12.7 m long cable. When
the helicopter is returning from a fire at a
constant speed of 33.7 m/s, the cable makes
an angle of 25.7
◦ with respect to the vertical.
25.7
◦
Find the horizontal force exerted by air
resistance on the bucket. The acceleration
due to gravity is 9.8 m/s
2
.
Answer in units of N
The horizontal force exerted by air resistance on the bucket is 5,210 N.
What is the horizontal force exerted by air resistance on the bucket?
The horizontal force exerted by air resistance on the bucket is the parallel force on the cable carrying the bucket.
The magnitude of this force is calculated as follows;
Fx = mg cosθ
where;
m is the mass of the bucketg is the acceleration due to gravityθ is the angle of inclination of the cableFx = (590 x 9.8) x cos(25.7)
Fx = 5,210 N
Thus, the horizontal force on the bucket is determined from parallel force on the rope.
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The background noise in a room is measured to be 69 dB. How many
dB is 1000 times louder?
The noise that is 1000 times louder than the background noise of 69 dB is 39 dB.
The background noise in a room is measured to be 69 dB.
To determine how many dB is 1000 times louder, we can use the following formula:
\($$\text{dB difference}=10\log_{10}\frac{I_1}{I_2}$$\)
Where \($I_1$\) and \($I_2$\) are the two intensities being compared. We can assume that the background noise is \($I_1$\) and the noise that is 1000 times louder is \($I_2$\). Therefore,
\($$I_2=1000I_1$$\)
Substituting this into the formula gives:
\($$\text{dB difference}=10\log_{10}\frac{I_1}{1000I_1}=10\log_{10}\frac{1}{1000}=-30\text{ dB}$$\)
Therefore, the noise that is 1000 times louder than the background noise of 69 dB is 39 dB.
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A copper wire is stretched so that its length increases and its diameter decreases. As a result__. A.both the wire resistance and resistivity increase. B.the wire resistance increases but its resistivity stays the same. C.the wire resistance increases and its resistivity decreases. D.the wire resistance decreases but its resistivity stays the same. E.both the wire resistance and resistivity decrease.
A copper wire is stretched so that its length increases and its diameter decreases. As a result option (B) The wire resistance increases but its resistivity stays the same
When a copper wire is stretched, its cross-sectional area decreases, but its length increases. The wire resistance depends on its length, cross-sectional area, and resistivity according to the formula R = (ρL)/A, where R is resistance, L is length, A is cross-sectional area, and ρ is resistivity.
Since the length increases and the cross-sectional area decreases, the wire's resistance will increase. However, the resistivity of copper remains constant regardless of changes in its shape. Therefore, the wire's resistivity will stay the same, and only its resistance will increase.
Therefore, the correct option is (B) The wire resistance increases but its resistivity stays the same.
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A tow truck is pulling 25,000 kg van with a tow hook that meets the van at an angle of 30° with the ground. How much force must the tow trucl use to pull the van with an initial acceleration of 3m/s2...!?
Answer:
86605.08 N
Explanation:
The equation to calculate the force is:
Force = mass * acceleration
The force and the acceleration does not have the same direction in this case, so we need to decompose the force into its horizontal component, which is the force that will generate the horizontal acceleration:
Force_x = Force * cos(30)
Then, we have that:
Force_x = mass * acceleration
Force * cos(30) = 25000 * 3
Force * 0.866 = 75000
Force = 75000 / 0.866 = 86605.08 N