The projectile will land approximately 37 meters from the launch point.
The projectile motion is a form of motion in which an object or a particle is projected into the air and travels along a path. It is a type of motion that is heavily influenced by gravitational force.
When a projectile is launched, it will follow a parabolic path.
The following formula can be used to determine how far the projectile travels horizontally:
x=vtcosθ
Where: x = the horizontal displacement (meters, m)v = the initial velocity (m/s)t = the time (s)θ = the launch angle (degrees)
Using the above equation, we can solve the given problem. Given:
v = 48 m/ s
θ = 26°
Let's first convert the angle to radians:
θ = 26° × (π / 180°) = 0.4536 rad
We can now solve for x:
x = vt cosθ = (48 m/s)(cos 0.4536 rad)
x = 36.59 meters
Therefore, the projectile will land approximately 37 meters from the launch point. The final answer will be 37 meters.
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blue - lead car
black- following car
If the lead car breaks before the other car, will it crash?
Explain the features of the graph.
How we read the two colors
What the areas tell us
What the slopes tell us
How the graph is answering that question.
PLS HELP I NEED ANSWER HOMEWORK DUE SOON
A ball is initially moving with a velocity 0.5m/s. Its velocity decreases at a rate of 0.05m/s^2. How much time will it take to stop? How much distance will the ball travel before it stops
Answer:
I think its 1
Explanation:
The reason why I think it's 1 is because 0.5m/s^2 /0.5 m/s= 1 s
How does the
gravitational attraction
between people
compare to the gravitational
attraction between the
people and Earth?
Attraction between people is Gravitation while people and earth is Gravity.
Every body in the universe attracts every other body with a force called force of gravitation. The attraction between sun and earth , attraction between table and chair lying in a room ..etc. are examples of gravitation. Gravitation is the weakest of four basic forces in nature. However , its most important force as it has its contribution in initiating the birth of stars and controlling the structure and evolution of entire universe.
Gravity is the special case of gravitation. If one of the attraction body is earth then gravitation is gravity.
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During a physics experiment, helium gas is cooled to a temperature of 19.0K at a pressure of 6.00�10?2atm . What are (a) the mean free path in the gas, (b) the rms speed of the atoms, and (c) the average energy per atom?
The mean free path in the gas is given by the formula: mean free path = (k * T) / (sqrt(2) * pi * d^2 * P), where k is Boltzmann's constant, T is the temperature in Kelvin, d is the diameter of a helium atom.
P is the pressure in atm. The diameter of a helium atom is approximately 2.4 Ångstroms.
The rms speed of the atoms is given by the formula: rms speed = sqrt((3 * k * T) / (m)), where k is Boltzmann's constant, T is the temperature in Kelvin, and m is the mass of a helium atom.
The average energy per atom is given by the formula: average energy per atom = (3/2) * k * T, where k is Boltzmann's constant and T is the temperature in Kelvin.
The mean free path is the average distance an atom travels between collisions. It depends on the temperature, pressure, and size of the atoms.
The rms speed is the square root of the average of the squared speeds of the atoms. It gives an indication of the magnitude of the velocities of the atoms.
The average energy per atom is the average kinetic energy of the atoms in the gas. It depends only on the temperature and is proportional to the absolute temperature.
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What is 140 °C in °F?
Answer:
140 °C in °F is 284 °F
140 °C is calculated to be equal to 284 °F. The formula that can be used to convert a temperature from Celsius (°C) to Fahrenheit (°F) is: °F = (°C * 9/5) + 32
How is °C to °F converted?1 degree Celsius is equal to 33.8 degrees Fahrenheit by multiplying the temperature in degrees Celsius by 1.8 and then adding 32.
You can use formula below to convert temperature from Celsius (°C) to Fahrenheit (°F):
°F = (°C * 9/5) + 32
Given value is 140 °C
°F = (140 * 9/5) + 32
So, °F = 284 °F
Thus, 180 °C is the same as 284 °F.
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Michael Eisner took over the stagnant Walt Disney firm in the early 1990's and turned things around in dramatic fashion. However, once stability was needed, Eisner was unable to change his approach to Group of answer choices transformational leadership. charismatic leadership. path-goal leadership. transactional leadership. strategic leadership.
Michael Eisner was unable to change his approach to strategic leadership.
While Michael Eisner successfully revitalized the Walt Disney firm through his transformative and charismatic leadership in the early 1990s, his challenges arose when stability was required. Strategic leadership involves the ability to formulate and execute long-term strategies to achieve organizational goals. It requires adapting and adjusting leadership approaches based on the evolving needs and circumstances of the organization.
In Eisner's case, it seems that he struggled to shift his leadership style to one that was more focused on sustaining the company's success and navigating ongoing challenges. This could be attributed to a failure to effectively align the organization's strategic direction, make necessary changes, and respond to emerging industry trends and competitive pressures.
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Noe is studying wave A and wave B. Wave A is rated at 100 dB, and wave B is rated at 90 dB. Which statement can be made about the waves
Answer:
Wave a is louder than wave b!!!
Explanation:
Yes
Which of the following is NOT an
example of an installment loan?
A. a student loan
B. a car loan
C. a mortgage loan
D. a lump-sum loan
As a source of sound moves away from a person what increases? What decreases? And what stays the same?
As a source of sound wave moves away from a person, its wavelength increases and frequency decreases And amplitude stays same.
The Doppler effect, often known as the Doppler shift or just Doppler, is the apparent change in frequency of a wave caused by an observer moving relative to the wave source. It is named after the Austrian scientist Christian Doppler, who first characterized it in 1842.
The change in pitch perceived as a vehicle blowing its horn approaches and recedes from an observer is a frequent example of Doppler shift. The received frequency is greater during the approach, identical at the time of passing by, and lower during the recession as compared to the emitted frequency.
Hence wavelength increases.
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A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.
(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.
(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:
Energy = Power × Time
Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:
Time = Energy ÷ Power
Converting the energy to watt-hours (Wh):
Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh
Converting the power to watt-hours (Wh):
Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh
Now we can calculate the time:
Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours
Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.
(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.
In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.
This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.
(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.
In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.
(d) The electromagnetic field output from an antenna can be represented by two main regions:
Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.
Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation. The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.
The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.
In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.
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A helicopter of mass 3000KG rises vertically at a constant speed of 25m/s if the acceleration due to gravity is 10ms^-2, determine the resultant force working on the helicopter
Answer:
The resultant force working on the helicopter can be calculated using the formula:
Resultant force = mass x acceleration
We know that the mass of the helicopter is 3000 kg and the acceleration is the acceleration due to gravity, which is 10 m/s^2.
The force of lift that opposes the weight of the helicopter is equal to:
Resultant force = 3000 kg x (10 m/s^2 + 25 m/s^2)
Resultant force = 3000 kg x 35 m/s^2 = 105,000 N
So the resultant force working on the helicopter is 105,000 N, this is the force that the helicopter's engines need to exert to overcome the force of gravity and maintain its constant speed of 25m/s.
Granules on the surface of the sun appear to be plasma boiling. This is caused by _________________ in the plasma.
The granules on the surface of the Sun appear to be plasma boiling because of convection processes which occurs within the solar plasma. Convection is the transfer of heat from the movement of a fluid, Here it is from the plasma within the Sun.
The interior region of sun is very hot causing the plasma to heat and rise the temperature towards the sun. As the plasma rises it causes upwellings or convective cells which carries heat and energy from interior to the surface which results in boiling of granules.
The granular pattern seen on the Sun's surface is because of the rising plasma's magnetic and thermal fields. The darker regions within the granules are downdrafts, which are pockets of somewhat cooler plasma that are reserve in the interior protion of the plasma. The Sun's surface is constantly changing, and this dynamic convection process plays a crucial role in sustaining both its energy output and magnetic activity.
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A confined aquifer underlain by an aquiclude and overlain by an aquitard and a water-table aquifer. The following characteristics are given: Confined aquifer: b=5.2 m, K=0.73 m/ day, S=0.0035, T=3.8 m 2/d Aquitard: b ′ =1.1 m, K′ =5.5×10 −5 m/ day, S ′ =0.00061 Water-table aquifer: b ′′=25 m, K ′′ =35 m/ day A well that fully penetrates the aquifer is pumped at a rate of 28 m 3 / day, what is the drawdown after 1 day of pumping at the following distances from the well: 1.5,5.5,10,25,75,150 m ? Be sure the assumptions can be met using the criteria discussed in Chapter 5.4.2.2. Ignore the assumption concerning the well diameter.
the drawdown at each distance from the well after 1 day of pumping.
calculate the drawdown at different distances from the well, we can use the Theis for equation confined aquifers:
s = (Q / (4πT)) × W(u)
where:
s is the drawdown at a certain distance from the well,
Q is the pumping rate (28 m³/day),
T is the transmissivity of the confined aquifer (3.8 m²/day),
W(u) is the well function that depends on the dimensionless distance u.
The well function W(u) can be calculated
W(u) =\((1 / u) × e^(u^2) × erfc(u)\)
where:
u = (r²S) / (4Tt)
r is the distance from the well,
S is the\(storativity\) of the confined aquifer (0.0035),
t is the time of pumping in days,
(u) is the complementary error function.
Now let's calculate the drawdown at the given distances of 1.5 m, 5.5 m, 10 m, 25 m, 75 m, and 150 m after 1 day of pumping.
Assuming the well is located at the origin (0,0) in a radial system:
For r = 1.5 m:
u = (1.5² × 0.0035) / (4 × 3.8 × 1)
Calculate W(u) and substitute the values into the Theis equation to find s.
For r = 5.5 m:
u = (5.5² × 0.0035) / (4 × 3.8 × 1)
Calculate W(u) and substitute the values into the Theis equation to find s.
For r = 10 m:
u = (10² × 0.0035) / (4 × 3.8 × 1)
Calculate W(u) and substitute the values into the Theis equation to find s.
For r = 25 m:
u = (25² × 0.0035) / (4 × 3.8 × 1)
Calculate W(u) and substitute the values into the Theis equation to find s.
For r = 75 m:
u = (75² × 0.0035) / (4 × 3.8 × 1)
Calculate W(u) and substitute the values into the Theis equation to find s.
For r = 150 m:
u = (150² × 0.0035) / (4 × 3.8 × 1)
Calculate W(u) and substitute the values into the Theis equation to find s.
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.
A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record
a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?
Hi there!
We can begin by finding the angular velocity using dimensional analysis:
\(\frac{1 rev}{0.56 s} * \frac{2\pi rad}{1 rev} = 11.22 rad/sec\)
(A)
Find the flea's velocity using the following relationship:
v = ωr
v = (11.22)(0.20) = 2.24 m/s
(B)
Centripetal acceleration is given by:
a = ω²r
a = (11.22²)(0.20) = 25.18 m/s²
A chemist is likely to do which of the following
Answer:
I need to see the answer choices firsts silly
Explanation:
I need to see the answer choice firsts in order to answer because it can be many different answers
This triangle is an isosceles right triangle. This means that the triangle contains a _____ angle and _______ sides.
Answer:
There is a right angle and it has three sides.
Explanation:
There are two 45 degree angles and since a triangles sides ALWAYS add up to 180 we know the the other side has to be 90 degrees because 45+45+90=180. And we know that every triangle has three sides because "tri" means three.
Why are many adults and youth in the United states overweight?
Answer:
I'd imagine fast food is a lot more popular than most countries over there and easier to get hold of.
Explanation:
america
Answer:
There are different answers to that, like if you read a passage or something.
Explanation:
These days many people do not get exercise. A lot of jobs are now done indoors and do not require any physical activities. Technology is becoming more advanced and many people prefer using machines to do the heaving lifting.
There are a lot of fast-food restaurants and this is where a lot of people in the US choose to eat. The food is cheap and easy to pick up. This food is convenient for people on the go. The food is not healthy and it causes weight gain.
In the US, many young children find it cool to smoke. Smoking decreases the body's strength and it causes a decrease in physical health, causing people to gain weight.
Everyone has a phone these days, if not some kind of electronic device to chat with people or play games. Over time, playing on electronic devices replaces doing physical activities.
Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b=7 and stiffness constant k=6. Suppose the external forces on the weight are: F ext
(t)=−6te −3t
+e −3t
. y ′′
+7y ′
+6y=−6te −3t
+e −3t
a) Show y(t)=te −3t
is a possible position function for this weight. y ′1
+7y ′
+6y=−6tc −3t
+e −3t
r 2
+7r+6=0
(r+a)(r+1)
e −6t
e −t
y=1e −4t
+1e −t
y ′
=−61)e −4t
+Ae t
y ′
=−609e −4t
+e −+
(6,6e −4t
)+Me −t
b) Find a general equation for all possible position functions. y=Ae −6t
+AC 2
=−6+e 3t
+e −3t
(10 points) c) Find the exact motion equation for this weight if its initial position is y(0)=3, and its initial velocity is v(0)=y ′
(0)=
a) y(t) = te⁻³ᵗ is a possible position function.
b) General equation: y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B).
c) Exact motion equation: y(t) = (23/5)e^(-2t) - (8/5)e^(-3t) + t(e^(-3t))(At + B), with initial conditions y(0) = 3 and v(0) = -7.
a) To show that y(t) = te⁻³ᵗ is a possible position function, we substitute it into the differential equation:
y(t) = te⁻³ᵗ
y'(t) = e⁻³ᵗ - 3te⁻³ᵗ
y''(t) = -6e⁻³ᵗ + 9te⁻³ᵗ
Substituting these expressions into the differential equation, we have:
-6e⁻³ᵗ + 9te⁻³ᵗ + 7(e⁻³ᵗ - 3te⁻³ᵗ) + 6(te⁻³ᵗ) = -6te⁻³ᵗ - e³ᵗ
Simplifying this equation, we find that both sides are equal, thus confirming that y(t) = te⁻³ᵗ is a possible position function.
b) The general equation for all possible position functions can be written as:
y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B)
c) Given the initial conditions y(0) = 3 and y'(0) = v(0) = -7, we substitute these values into the general equation and solve for the constants:
3 = C₁ + C₂
-7 = -2C₁ - 3C₂
Solving these equations, we find C₁ = 23/5 and C₂ = -8/5.
The exact motion equation for the weight is:
y(t) = (23/5)e⁻²ᵗ - (8/5)e⁻³ᵗ + t(e⁻³ᵗ)(At + B)
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b = 7 and stiffness constant k = 6. Suppose the external forces on the weight are: Fₑₓₜ(t) = - 6te⁻³ᵗ - e³ᵗ
y" + 7y' + 6y = - 6te⁻³ᵗ - e³ᵗ
a) Show y(t) = te⁻³ᵗ is a possible position function for this weight.
b) Find a general equation for all possible position functions.
c) Find the exact motion equation for this weight if its initial position is y(0) = 3, and its initial velocity is v(0) = y'(0) = -7.
CAN U PLS CHECK IF IT CORRECT I'LL MARK YOU BRAINLIST
Answer:
l think that the answer is 10.hope this helps . Can you mark me the brainest pliz.lt's LAURA RAYS AMIRA.
Answer:
Explanation:
700-40 = 760
760/10 = 76
It will take her 76 days to finish the book
all objects within a closed system tend to move
toward a state of greater stability but lower potential
energy
Explanation is in the file
tinyurl.com/wpazsebu
when you switch the appliances in a house, the current supplied to the house increases .State whether the appliances connected to the house is parallel or in series
parallel circuits is used in the house.
For household circuits, parallel circuits are always used because: In parallel circuits, all other electrical appliances continue to operate correctly even if one electrical appliance stops functioning for whatever reason. In a parallel circuit, each electrical appliance has its own switch, allowing it to be switched on or off independently without impacting other appliances. In a parallel circuit, every electrical device receives the same voltage as the power supply line.
When electrical devices are linked in parallel, the overall resistance of the home circuit is decreased, causing a large current to flow from the power source.
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Please help me!! I will give lots of pints, rate your answer, give thanks and award you as the brainliest for the correct answer!!! :))
Answer:
a. 25 N. The box will move toward the greater force, however, I'm not too sure if that is enough to move a 100kg box.
Explanation:
First, let's define resultant force.
Resultant force is the total force of action enacted on a object or thing.
To get the resultant force of this problem, add 10 N to 15 N and you will get an answer of 25 N total.
The object will move toward the greater force because there is a larger difference between the force on the left.
a subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. what is the force constant of the spring?
The force constant k of the spring is 781000 N/m
What is force?
Once applied, force is described as an external cause that alters or tends to modify the state of the body; if the body is in motion, it comes to rest, and if at rest, it comes to motion. It can also induce a shift in the body's direction, shape, or size. Pushing or pulling a door with force is an example.
Because force is a vector quantity, it has both magnitude and direction. Newton's second law defines force as the "product of a body's mass and acceleration."
In physics, a force is an effect that can change the velocity of an object. A force can cause a mass object's velocity to change (e.g., moving from rest), causing it to accelerate. Force can be thought of as either a push or a pull. Because it has both magnitude and direction, force is a vector quantity. It is measured in newtons, the SI mass unit (N). The letter F stands for force (formerly P).
In its original form, Newton's second law states that the net force acting on an object is equal to the rate at which its momentum varies with time.
Here,
let the force constant is k
Using conservation of energy
0.50 * 5 *10^5 * 0.50^2 = 0.50 * k * 0.40^2
solving for k
k = 781000 N/m
The force constant k of the spring is 781000 N/m
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Please help me !! i am tired i worked all day to bring my grade up whitch i did i just gotta do this last assiment I will give brainlsit when i wake up
Plutonium= Pu, 94, 244,94,94
Chromium= Cr, 24,52, 24,24
Neon = Ne, 10,20,10,10
Gold= Au, 79,197,79,79
Radon = Ra ,86,222,86,86
Two pistons are in an enclosed volume with fluid in between them, such that
movement in one piston affects the location of the other piston, as shown in
the image below. If an explosion occurs in the piston on the left such that it
moves 1 m, what is the distance that the piston on the right will move
(assuming that friction can be neglected)? (Recall that work on an object is
equal to the force on the object times the distance it is moved, and that work
is conserved.)
Cross-sectional area - 25 mm
Cross-sectional area = 0,5 m
A. 2 m
B. 0.5 m
C. 1 m
D. 0.25 m
Answer:
The pressure in the fluid just below Piston 1 is
p_1=F_1/A_1=361\text{ Pa}.p
1
=F
1
/A
1
=361 Pa.
The pressure in the fluid just below Piston 2 is the same according to Pascal's law:
p_2=p_1=361\text{ Pa}.p
2
=p
1
=361 Pa.
The force being exerted on Piston 2 to keep the two pistons in equilibrium is
F_2=p_2A_2=330\text{ N}.F
2
=p
2
A
2
=330 N.
Explanation:
An airplane is flying at 200 m/s at an angle of 30° north of east. How fast is the
plane flying North?
2. Consider the circuit below ( 12 marks: 3 marks each ) \[ R=4 \Omega, X_{c}=3 \Omega, X_{L}=2 \Omega \] \( v=110 \sin (\omega t) \) volts (a) What is the impedance of the circuit in polar form? (b)
Resistance, R = 4ΩCapacitive reactance, Xc = 3Ω,Inductive reactance, XL = 2Ω,Voltage, V = 110 sin(ωt)
Impedance of the circuit in polar form:
\($$Z = \sqrt{R^2 + (X_L - X_c)^2}$$\)
Substituting the given values we get,
\(\begin{align*} Z &= \sqrt{R^2 + (X_L - X_c)^2}\\ &= \sqrt{4^2 + (2 - 3)^2}\\ &= \sqrt{16 + 1}\\ &= \sqrt{17}\,Ω \end{align*}\)
Now, Impedance, Z = 17Ω and Voltage, V = 110 sin(ωt)
Applying Ohm's law, we get,\(\[\large I=\frac{V}{Z}\]\)
a) Therefore, Impedance of the circuit in polar form is Z = 17Ω
b) Current through the circuit is I = 110 sin(ωt) / 17
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. Let us say that you put a cup of cold water in one room and a cup of hot water in
another room. Both rooms are at room-temperature. Why does the cold water get
warmer and the hot water get cooler?
Answer:
In both cases, energy will move from an area of higher temperature to an area of lower temperature. So, the energy from room-temperature air will move into the cold water, which warms the water.
Explanation:
Answer:
this is the answer okkkkkkkkkkkkkkkk
Question:
A second set of data was obtained using thicker pieces of putty. Both sets of results are shown in graph 2. What is the relationship between the resistance and the thickness of the conducting putty?
The resistance of the thin wire is greater than the resistance of the thick wire because the thin wire has fewer electrons to carry the current. Therefore, for thinner pieces of conducting putty we have the larger resistance and for the thicker pieces of conducting putty we have the lower resistance.
Alice climbs 100 meters directly up the face of a cliff to reach the summit. Her friend Peter hikes the long way around taking a 3 km trail to meet her at the top of the cliff. Compare the distance and displacement of the two friends.
Answer:
Alice Distance = 100 meters
Peter's Distance = 3 km
Alice Displacement and Peter's displacement are both 100 meters upwards.
Explanation:
To solve this question, we have to first define distance and displacement.
Distance is simply the measurement of the sum of all paths travelled from one point to another while displacement is measurement of the shortest distance from initial point to final point.
Now, Alice and Peter are moving from the same point.
Alice distance travelled is 100 meters.
Also, her displacement will be 100 meters because it is the shortest distance to the summit of the cliff.
Now, for Peter, he decides to take a longer route which is 3 km in distance.
However, the shortest path which is the displacement is still 100 meters.
Thus, Peter's displacement is 100 meters.