This question involves the concepts of thermal efficiency and hot reservoir.
The smallest possible temperature of the hot reservoir would be "960 k".
The thermal efficiency of an engine is given by the following formula:
\(Efficiency=\frac{Work}{Heat\ In}=\frac{Work}{Work+Heat\ Rejected}\\\\Efficiency = \frac{18500\ J}{18500\ J+7810\ J}\\\\Efficiency = 0.703\)
Another formula for thermal efficiency of an engine is:
\(Efficiency = 1-\frac{T_2}{T_1}\)
where,
T₁ = Temperature of the hot reservoir = ?
T₂ = Temperature of the cold reservoir = 285 k
Therefore,
\(0.703=1-\frac{285\ k}{T_1}\\\\\frac{285\ k}{T_1}=1-0.703\\\\T_1=\frac{285\ k}{0.297}\)
T₁ = 960 k
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61. A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon. (a) If this is done with the Mount Wilson telescope, producing a 2.54-m-diameter beam of 633-nm light, what is the minimum angular spread of the beam
Answer:
8.87
Explanation:
1) How many joules of heat are required to raise the temperature of 550 g of water from
12.7 °C to 28.8°C ? Specific heat of liquid water is 4.184 J/g °C.
Answer:
Explanation:
You can use \(Q = mc\Delta T=(550)(4.184)(28.8-12.7)=37049.32\) joule.
7. A rock of mass 5 kg is pushed over the edge of a cliff which is 200 m high. a) Ignore air resistance and calculate the speed of the rock at the bottom of the cliff. In reality, air resistance cannot be ignored. The rock eventually reaches terminal velocity of 30 m.s-¹.
b) Calculate the kinetic energy of the rock at the bottom of the cliff.
c) Calculate the work done by air resistance.
d) Calculate the average force exerted by the air on the rock.
Speed of the rock at the bottom of the cliff is 44.3 m/s.
Kinetic energy of the rock at the bottom of the cliff is 4915 J.
Work done by air resistance is -2250 J
Average force exerted by the air on the rock is 11.25 N.
How to determine kinetic energy and speed?a) The speed of the rock at the bottom of the cliff can be calculated using the equation:
v = √(2gh)
where v = final velocity, g = acceleration due to gravity (9.81 m/s²), and h = height of the cliff (200 m).
Plugging in the values:
v = √(2 x 9.81 x 200) = 44.3 m/s
Therefore, the speed of the rock at the bottom of the cliff is 44.3 m/s.
b) The kinetic energy of the rock at the bottom of the cliff can be calculated using the equation:
KE = (1/2)mv²
where KE = kinetic energy, m = mass of the rock (5 kg), and v = velocity (44.3 m/s).
Plugging in the values:
KE = (1/2) x 5 x (44.3)² = 4915 J
Therefore, the kinetic energy of the rock at the bottom of the cliff is 4915 J.
c) The work done by air resistance can be calculated using the work-energy principle:
Work done by air resistance = KE_initial - KE_final
where KE_initial = initial kinetic energy of the rock, and KE_final = final kinetic energy of the rock (at terminal velocity).
Since the rock was initially at rest, its initial kinetic energy is zero. At terminal velocity, the kinetic energy of the rock is:
KE_final = (1/2)mv_terminal²
where m = mass of the rock (5 kg), and v_terminal = terminal velocity (30 m/s).
Plugging in the values:
KE_final = (1/2) x 5 x (30)² = 2250 J
Therefore, the work done by air resistance is:
Work done by air resistance = 0 - 2250 = -2250 J
The negative sign indicates that the work done by air resistance is in the opposite direction to the motion of the rock.
d) The average force exerted by the air on the rock can be calculated using the equation:
Work done by air resistance = Force x Distance
where Force = average force exerted by air on the rock, and Distance = distance travelled by the rock.
Rearrange the equation to solve for Force:
Force = Work done by air resistance / Distance
Plugging in the values:
Force = -2250 / 200 = -11.25 N
Therefore, the average force exerted by the air on the rock is 11.25 N. The negative sign indicates that the force is in the opposite direction to the motion of the rock.
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what is the portion of an electric circuit that is being powered
Answer:
Component
Explanation:
All circuits have some basic parts, called components. One component is the power source, also called a voltage source. The power source is what pushes the electricity through the circuit.
A cart is pulled by a rope making an angle of 45° to the horizontal. If 100 newtons of force are applied to the rope, the magnitude of the horizontal component force is approximately
Answer:
the answer is 100sin45°
Explanation:
F=100N
0=45°
component to the horizontal so we say 90°-45°=45°
magnitude of component =100sin45°
Can someone please explain how to do this?
A babysitter pushing a stroller starts from rest and accelerates uniformly at a rate of 0.778 m/s^2. What is the velocity of the stroller after it has traveled 5.54 m?
define prism and itz colo plz tell me fast
Answer:
A prism is a clear crystal that refracts light
Explanation:
find the pressure exerted by a force of 8000 newtons on an area of 25m square..give your answer in Newtown/m2
Answer:
Pressure = 320 N/m²
Explanation:
Given the following data;
Force = 8000 Newton
Area = 25 m²
To find the pressure, we would use the following formula;
Pressure = force/area
Substituting into the formula, we have;
Pressure = 8000/25
Pressure = 320 N/m²
Answer #49 please and thank you
when Force (N) is 10.0 Length (m) is 0.60
when Force (N) is 8.0 Length (m) is 0.40
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 2.0 Length (m) is 0.10
chatgpt
49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:
Period (T) = 2π√(Length (L) / g)
Substituting the given values:
2.3 = 2π√(L / 1.6)
To solve for L, we can rearrange the formula:
L = (2.3 / (2π))^2 * 1.6
L ≈ 0.781 meters (or 78.1 centimeters)
So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.
50. Ranking Task:
To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.
Ranking from least to greatest period:
1. A: 10 cm long, mass = 0.25 kg
2. C: 20 cm long, mass = 0.25 kg
3. B: 10 cm long, mass = 0.35 kg
There is a tie between pendulums A and C, as they have the same length but different masses.
When a rock is thrown straight upward What is its acceleration at the top of its path?; When a rock thrown straight up reaches the exact top of its path its velocity is?; What happens to a piece of rock as it is thrown straight up into the air?; What is the acceleration of a rock thrown straight upward on the way up at the top of its flight on the way down neglect the effect of air resistance?
The rock comes to a complete stop at maximum height, so velocity is zero. Gravity is responsible for the acceleration. As a result, at the top of its path, its velocity is zero and its acceleration is 9.81 m/s2, which is approximately 10 m/s2.
What happens when a straight-up object reaches the top of its path?When an object thrown straight upwards gets to the top of its path, Its velocity is zero because it moves opposite to gravity and acceleration is 10 m/s2 , due to the rate of change of velocity of an object with respect to time.
What happens when a stone is thrown up to its highest point?Projectile motion is the movement of an object in which the vertical acceleration is g and the horizontal acceleration is zero. A projectile motion is used to throw a stone into the air. It rises against a deceleration of size g, which slows it down until it reaches the maximum height.
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10- A block attached to a spring oscillates in simple harmonic motion along the x axis. The
limits of its motion are x = 10cm and x = 50 cm and it goes from one of these extremes to
the other in 0.25 s. Its amplitude and frequency are:
A 40 cm. 2Hz
B. 20 cm, 4Hz
C. 40cm, 2Hz
D. 25 cm, 4Hz
E. 20 cm, 2Hz
Answer:
Choice E.
Amplitude: \(20\; {\rm cm}\).
Frequency: \(2\; {\rm Hz}\).
Explanation:
The amplitude of a simple harmonic motion (SHM) is the maximum displacement from equilibrium.
In this question, the equilibrium is in the center of the two extremes. With one extreme at \(x = 10\; {\rm cm}\) and the other at \(x = 50\; {\rm cm}\), the center will be at \((1/2)\, (10 + 50)\; {\rm cm} = 30\; {\rm cm}\).
The maximum displacement will be \((50\; {\rm cm} - 30\; {\rm cm}) = 20\; {\rm cm}\) (or equivalently, \((30\; {\rm cm} - 10\; {\rm cm}) = 20\; {\rm cm}\).
Frequency measures the number of cycles completed in unit time (e.g., one second.) In one full cycle of an SHM, the oscillator will travel from one extreme to another and then back to the original extreme. In this question:
Travel from one extreme to the other: \(0.25\; {\rm s}\).Travel from the other extreme back to the original one: \(0.25\; {\rm s}\).In other words, one full cycle of this SHM will take \(0.25\; {\rm s} + 0.25\; {\rm s} = 0.50\; {\rm s}\). The period of this SHM will be \(0.50\; {\rm s}\). Hence, the frequency of this SHM will be:
\(\begin{aligned} (\text{frequency}) &= \frac{1}{(\text{period})} \\ &= \frac{1}{0.50\; {\rm s}} \\ &= 2\; {\rm Hz}\end{aligned}\).
explaining how your energy system works. Make sure to explain how your system captures energy from rescue workers’ bodies to power equipment during rescue missions. Try to use the words in the Word Bank above.
Answer:
The rescue workers can get energy to the batteries in their equipment during rescue missions by using a generator to convert the kinetic energy to potential energy. Potential energy is then stored in the battery.
Explanation:
A spring is compressed 0.48 m inside a dart gun. What is the potential
energy of the spring? (k = 800 N/m)
Answer:
92.16J
Explanation:
E = ½ke²
E = ½(800)(0.48)²
E = 400 x 0.48²
E = 92.16
A 3.5-inch floppy disk in an old computer rotates with a period of 2.00 x 10^-1 s. Calculate the angular speed of the disk, the linear speed (in inches/sec) of a point on the rim of the disk, and the linear speed (in inches/sec) of a point 0.750 inches from the center of the disk. (Hint: a 3.5 inch floppy disk has a 3.50 inch diameter)
We have the next information
T=2.00 x 10^-1 s=0.2s
r=3.5 inch
For the angular speed
\(\omega=\frac{2\pi}{T}\)where omega is the angular speed, T is the period
We substitute
\(\omega=\frac{2\pi}{0.2}=31.41\text{ rad/s}\)For the linear speed on the rim of the disc, we will use the next formula
\(v=\omega\cdot r\)in this case r= 3.5/2=1.75 inch
\(v=31.41(1.75)=54.97\text{ }\frac{inches}{\text{sec}}\)Then for the linear speed on the point at 0.750 inches from the center of the disk.
\(v=31.41(0.750)=23.56\frac{inches}{\text{sec}}\)ANSWER
ω=31.41 rad/sec
v on the rim= 54.97 inches/sec
v on the point=23.56 inches/sec
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A variety of mature plants and trees indicates this level of ecological succession:
Responses
opportunists
pioneer species
climax community
primary succession
A hiker enters an area where there are large mature trees and a diverse population of other mature plants and shrubs.
Which statement best describes this ecosystem?
It is a climax community.
It is populated with pioneer plants.,
It features many opportunists.,
A hiker approaches a region with many enormous, mature trees and just a variety of other mature bushes and plants. The ecosystem is best describe by the "climax community."
Explain the term climax community?In ecology, the term "climax" refers to the last stage that biotic succession that a plant community can reach in a region depending on the environmental factors in place at the time.
For instance, in the eastern United States, cleared forests develop from fields to older fields with migrating trees and plants to forests among these early colonists, and finally towards climax communities comprising longer-lived tree species. The climax community's species composition doesn't change since all of the existing species are able to reproduce, whereas invasive species are unable to establish a presence. The climax stage isn't really entirely permanent since ecological processes, evolutionary processes, and climate changes all alter the environment over extremely long stretches of time.A hiker approaches a region with many enormous, mature trees and just a variety of other mature bushes and plants.
Thus, this ecosystem is best describe by the "climax community."
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The correct question is-
A hiker enters an area where there are large mature trees and a diverse population of other mature plants and shrubs.
Which statement best describes this ecosystem?
It is a climax community.
It is populated with pioneer plants.,
It features many opportunists.,
Answer: c
Explanation:
if you wanted to increase the energy of a wave but you had to leave the wavelength the same what might you do
Answer:
Increase the amplitude
Explanation:
The energy conveyed by a wave is directly proportional to the square of its amplitude. Thus; E ∝ A²
This means that increasing the amplitude will lead to an increase in the energy.
Now, the amplitude of a wave is the height of a wave from it's highest point known as the peak, to the lowest point on the wave known as the trough whereas wavelength refers to the length of a wave from one peak to the next.
This means that increasing the amplitude has no effect on the wavelength.
Two objects travel the same distance. The one that is moving faster will:
Take more time to go the distance
Take less time to go the same distance
Take the same time as the slower object
None of the above
Answer: take less time to go the same distance
Explanation:
Because if it is going faster let’s say mph 60 mph is 60 miles per hour if you are going 40 miles per hour it will take you longer to get to your destination.
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b you should know this no need to explain if you dont know well I'm sorry its b
A circus van moves 50 km [E] in the first hour, 40 km [W] in the second hour, and 30 km [N] in the next half hour. Calculate the average velocity of the travelling circus van?
The average velocity of the travelling circus van is 12.64km/h.
As we already know, the directions east[E] and west[W] are opposite to each other, north[N] perpendicular to both of them.
We know, average velocity V,
V = total displacement/total time taken
Let us assume the situation on a coordinate plane, and say that the van started from origin,
The circus van first goes to the east direction and travels 50Km. After that, it travels 40Km back,
So, he travels straight 50Km and then return back 40Km, so now, his current position is 10Km in the east direction,
Now, from the point in 10km east, he travels 30km north,
Now, his current and final position is 10km east and 30km north,
His initial position was 0km in east and 0km in north,
So, his total displacement D is,
D² = (10)²+(30)²
D² = 100+900
D² = 1000
D = 10√10 Km.
Total time T taken by him is,
T = 1+1+.05
T = 2.5 hours,
Putting the values, the average velocity V is,
V = D/T
V = 10√10/2.5
V= 12.64 km/h
So, the average velocity is 12.64km/h.
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a standing wave is formed by waves of frequency 256hz.the speed of the wave is 128m/s.what is the distance between the nodes
Answer:
V = f * λ Velocity = frequency * wavelength
λ = V / f = 128 m/s / 256 / s= .5 m is the wavelength
There will be nodes at o, λ/2, λ, 3λ/2 or at intervals of λ/2
The distance between nodes is ".25 m"
a small steel ball is attached and is spun in a horizontal circle of 30 cm radius as drawn below, where +z is upwards. What angle theta does the string make with the vertical when the ball is spun at a constant rate of 2 revolutions per second?
Answer:
Fc = m v^2 / R horizontal force required to keep ball in circle
Fv = m g vertical force on ball due to weight
tan θ = Fc / Fv = v^2 / (R * g) angle from verticle
Circumference of circle = 2 π R
v = 4 π R distance traveled / sec
v^2 = 16 π^2 R^2
tan θ = 16 π^2 R / g
tan θ = 16 * π^2 * .3 / 9.80 = 4.83
θ = 78.3 deg from vertical
The stem of thermometer is made by thick glass and the bulb is made by thin glass, Why?
Answer:
The reason is to allow the thermometer to respond relatively quickly, and relatively accurately. The glass contains the liquid being used in the thermometer, but if it is too thick, then it will not pass heat as quickly, and it will absorb some of the heat from whatever is being measured.
Explanation:
˙˚ʚ(´◡`)ɞ˚˙
The
states that price and quantity move in opposite directions.
The Law of Demand states that price and quantity move in opposite directions.
What does the law of demand mean?According to the Law of Demand, there is an indirect correlation between a good or service's price and the amount of that good or service that customers are willing and able to purchase. In other words, consumers are less able and willing to purchase an item as its price rises and vice versa.
This connection between a product's price and demand for it in terms of quantity is captured by the Law of Demand. It asserts that the price of a good and the amount desired are negatively) relate
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If someone walkes 1000m
in 20min, what is their speed?
Answer:
Distance - 1000m
Time - 20min
Speed - ?
Use the formula of distance ÷ time = speed.
s = d/t
s = 1000m/20min
s = 50 m/min
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It is always important to eat healthy foods to prevent damage to the body. Which two systems interact to ensure the body gets proper nutrients?
A. The excretory system and the nervous system.
B. The circulatory system and the immune system
C. The digestive system and circulatory system
D. The musculoskeletal system and the respiratory system
If the average electrical power usage of an American home is 2 kW, then for how
many homes could electricity needs be met by one 2 MW wind turbine?
1,000 homes when it's spinning.
No homes when it's not spinning.
The number of homes that the wind turbine can carry is 1000 homes
Power is the ratio of work done by an object with respect to time. The unit of power is in Watts (W).
Given the average electrical power usage of an American home to be 2 kW
Since 1kW = 100W
Average power per American home = 2000W = 2 * 10³Watts
Average power of a turbine = 2MW = 2 * 10⁶Watts
Number of homes that the wind turbine can carry = \(\dfrac{2 \times 10^6}{2 \times 10^3}\)
Number of homes that the wind turbine can carry = \(\dfrac{10^6}{10^3}\)
This shows that the number of homes that the wind turbine can carry is 1000 homes
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John is going to use a rope to pull his sister Laura across the ground in a sled through the snow. The rope makes an angle of 25 with the ground He is pulling horizontally with a constant force of 400 N. John and manages to get the sled going from 0 to 4 m/s in 5 s. The force due to friction on the sled is 310 N. What is the mass of Laura and the sled combined
When the wooden block is placed in the water and allowed to float to the top, what percentage of it is submerged
Answer:
This question is incomplete
Explanation:
This question is incomplete. However, what is described in the question is known as upthrust. Upthrust is an upward force on an object (in this case the wooden block) provided by the liquid (water) as a result of it displacing some of the liquid. Thus floating objects will normally displace some part of the liquid; making some part of it to be submerged in water.
The percentage of the submerged wooden block can be calculated as
length (in height) of the wood block submerged in water/total length (in height) of the wood × 100
A platinum resistance thermometer measures temperature on the assumption that the change in electrical resistance of platinum is proportional to the change in temperature. The resistance of the platinum wire at 0°C is 10.4 ohms and 10.71 ohms at 100°C. Calculate the temperature when the resistance is 9.61 ohms. What will be the resistance of the wire when the temperature is 45°C.
Answer:
The temperature when the resistance is 9.61 ohms is -17.3°C. The resistance of the wire when the temperature is 45°C is 11.45 ohms.
Explanation:
Answer:
Explanation:
m
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