Answer:
-13
Explanation:
Function
f(x) = -x² + x - 1Solving
Substitute 2 in place of xf(2) = -(2)² + 2 - 1f(2) = -4 + 2 - 1f(2) = -3f(f(2)) = f(-3)f(-3) = -(-3)² - 3 - 1f(-3) = -9 - 3 - 1f(f(2)) = -13An ideal gas, initially at a volume of 2.33333 L
and pressure of 9 kPa, undergoes isothermal
expansion until its volume is 7 L and its pressure is 3 kPa.
Calculate the work done by the gas during
this process.
Answer in units of J.
(part 2 of 2)
Find the heat added to the gas during this
process.
Answer in units of J.
The work done by a gas during an isothermal process is equal to -23.079 Joules.
How to calculate the work done by the gas.Mathematically, the work done by a gas during an isothermal process is given by this formula:
W = nRTln(P₂/P₁)
Where:
P is the pressure.R is the ideal gas constant.T is the temperature.n is the number of moles.Given the following data:
Initial volume = 2.33333 L to m³ = 0.00233333 m³.
Initial pressure = 9 kPa.
Final volume = 7 L to m³ = 7000 m³.
Final pressure = 3 kPa.
Next, we would determine the temperature of this gas by using the ideal gas equation:
T = PV/R
T = (9000 × 0.00233333)/8.314
T = 2.526 K.
Now, we can calculate the work done by this gas:
W = nRTln(P₂/P₁)
W = 1 × 8.314 × 2.526 ln(3000/9000)
W= 21 × ln(0.3333)
W = 21 × (-1.099)
W = -23.079 Joules.
How to calculate the amount of heat added.From the first law of thermdynamics, the amount of heat added to the gas during this isothermal process is given by:
Q = -W
Q = -(-23.079)
Q = 23.079 Joules.
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A 6.0 kg rock falls from a cliff and hits the ground at 32.5 m/s. a) Determine the kinetic energy. b) How much potential energy did it have before it fell? C) How much mechanical energy does it have before it hits the floor? Please answer all three.
Answer:
See below
Explanation:
KE = 1/2 m v^2 = 1/2 *6 * 32.5^2 = 3168.75 j
PE = mgh = KE at end = 3168.75 j
ME = 3168.75 j
ME is KE + PE at any point
before it falls it has no KE before it hits it has no PE
so ME = 3168.75 j
A certain source with a half-life of 1 min gives
2800 counts/s at time t=0.
What is the counting rate after 3min
A box with a mass of 50 kg is raised straight up. What is the force of the box?
Answer:
A box with a mass of 50 kg is raised straight up. What is the force of the box? plss help!! two types exist-positive and negative. possible answers: A- electric current B- repel C- lines of force D- charges. Five wavelengths are generated every 0.100 s in a tank of water.
Explanation:
I hope it helped
For a 100-Amp, 120/240-V, 3W commercial service, ___ AWG copper THHN/THWN conductors are the smallest permitted for the ungrounded conductors.
For a 100-Amp, 120/240-V, 3W commercial service, 3 AWG copper conductors are the smallest permitted for the ungrounded conductors.
What is AWG copper THHN/THWN conductors?AWG stands for American Wire Gauge (AWG).
This is a measurement of the thickness of conductive wires. It is usually applied for the copper conductors in shielded and unshielded twisted-pair cable.
Thus, for a 100-Amp, 120/240-V, 3W commercial service, three (3) AWG copper THHN/THWN conductors are the smallest permitted for the ungrounded conductors.
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A ray of light in air strikes the surface of a liquid at an angle of 65 degrees with the normal. The refracted ray is at an angle of 42 degrees with the normal. What is the index of refraction of this liquid?
The index of refraction of this liquid will be 1.28. It is found as the ratio of the sin of the angle of incidence and the angle of reflection.
What is an index of refraction?The refractive index of a substance is a dimensionless quantity that specifies how quickly light passes through it in optics.
The given data in the problem is;
Angle of incidence (i)= 65°
Angle of refraction(r) = 42°
The formula for the index of refraction is;
[tex]\rm n = \frac{sin \ i }{sin \ r} \\\\ \rm n = \frac{sin 65 ^0}{sin 42^0} \\\\ n=1.28[/tex]
Hence, the index of refraction of this liquid will be 1.28.
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Danny drew a ray diagram to show the image of a plastic bottle produced by a concave lens. Which describes how the bottle should appear in the diagram? The image of the bottle should appear larger than the actual bottle. The image of the bottle should be upside down compared to the actual bottle. The actual bottle should appear larger than the image of the bottle. The actual bottle should be upside down compared to the image of the bottle.
Answer:
The image of the bottle should appear larger than the actual bottle.
Explanation:
A concave mirror is a kind of lens that diverges towards the center, creating its focus into a reflected image that is larger in size. This is the reason why concave mirrors are known as divergent mirrors because the way the lens is constructed diverges in the middle.
Answer:A trust me
its a because it is A
You are approaching a helicopter on a helipad in an ambulance. The helicopter is powered down and the blades are not spinning. After notifying the PIC of your arrival, you will approach:
After notifying the PIC, approach the powered-down helicopter cautiously, maintaining communication, wearing safety gear, and following designated paths. Keep a safe distance, watch for rotor blades, and assist passengers as needed while following the PIC's instructions. Prioritize safety and be prepared for emergencies.
After notifying the Pilot in Command (PIC) of your arrival, you should approach the helicopter with caution and follow proper safety procedures.
The general outline of steps are:
Communication: Before approaching the helicopter, ensure you have clear communication with the PIC. They might provide you with specific instructions or guidelines for approaching the helicopter safely.
Safety Gear: Make sure you and your team are wearing appropriate safety gear, including high-visibility vests, helmets, and any other necessary personal protective equipment.
Ambulance Positioning: Position the ambulance at a safe distance from the helicopter to avoid any potential hazards, such as jet blast or rotor downwash.
Secure the Ambulance: Ensure that the ambulance is properly secured and the brakes are engaged to prevent any unintended movement during the operation.
Approach Path: Approach the helicopter from the designated safe side or approach path. The safe side is typically the one where the tail rotor is located, as the main rotor downwash poses less risk on that side.
Maintain Visual Contact: Maintain visual contact with the helicopter and the PIC at all times. Follow any hand signals or instructions provided by the PIC.
Engine Shutdown: Confirm that the helicopter's engines are indeed powered down and that all rotor blades are stationary.
Approach Slowly: Approach the helicopter slowly and cautiously. Avoid sudden movements or loud noises that might startle the helicopter crew or passengers.
Mind the Rotor Blades: Be aware of the rotor blades' location and ensure that you maintain a safe distance from them. Even though they are stationary, they can still pose a hazard.
Assist Passengers: If passengers need assistance getting from the helicopter to the ambulance, follow the guidance of the PIC or crew members. Use appropriate equipment (e.g., stretchers, ramps) to safely transfer passengers.
Follow PIC Instructions: Throughout the operation, follow the instructions of the PIC. They have a clear understanding of the helicopter's condition and the safest approach procedures.
Emergency Plan: Be prepared for any unexpected situation. Have an emergency plan in place in case the helicopter needs to be powered up quickly or if there's a sudden need to move away from the helicopter.
Hence, Approach the helicopter safely and cautiously while following PIC's instructions to ensure passenger and crew safety.
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A body X moves with an initial velocity of 10 m/s and acceleration 2 m/s^2. Simultaneously, another body starting from rest and moves with acceleration 3 m/s^2. X and Y will have the same velocity after an interval of time :
Answer:
10s
Explanation:
Body X
Let's derive an equation for the final velocity of Xv = u + atv = 10 + 2t [Equation 1]Body Y
Similarily, we need an equation for v here as wellv = u + atv = 0 + 3tv = 3t [Equation 2]Equating both equations
10 + 2t = 3tt = 10sApply first equation of kinematics v=u+at
For x
v=10+2tFor y
v=0+3tSo
x=y10+2t=3t+0t=10sAt very high pressures, gases become what and will eventually do what
A mass attached to a spring oscillates in simple harmonic motion with an amplitude of 10 cm. When the mass is 5.0 cm from its equilibrium point, what percentage of its energy is kinetic
When the mass is 5.0 cm from its equilibrium point, the percentage of its energy that is kinetic is 75%.
Total energy of the mass
The total energy possessed by the mass under the simple harmonic motion is calculated as follows;
U = ¹/₂kA²
where;
k is the spring constantA is the amplitude of the oscillationPotential energy of the mass at 5 cm from equilibrium pointP.E = ¹/₂k(Δx)²
Kinetic energy of massK.E = U - P.E
K.E = ¹/₂kA² - ¹/₂k(Δx)²
Percentage of its energy that is kinetic[tex]K.E (\%) = \frac{U - P.E}{U} \times 100\%\\\\K.E (\%) =\frac{\frac{1}{2}kA^2 - \frac{1}{2}k(\Delta x)^2 }{\frac{1}{2}kA^2} \times 100\%\\\\K.E (\%) = \frac{A^2 - (\Delta x)^2}{A^2} \times 100\%\\\\K.E (\%) = \frac{10^2 - (10-5)^2}{10^2} \times 100\%\\\\K.E (\%) = \frac{10^2 - 5^2}{10^2} \times 100\%\\\\K.E (\%) = 75\%[/tex]
Thus, when the mass is 5.0 cm from its equilibrium point, the percentage of its energy that is kinetic is 75%.
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When sunlight strikes the side of a building, what form of energy is it
transformed to?
A. Chemical energy
B. Thermal energy
C. Kinetic energy
D. Gravitational potential energy
Answer:
A thermal energy
Explanation:
Can I please have brainliest.
A hydraulic lift raises 1140 kg car through a height of 2.4 m. What is the potential energy
stored in the car?
Sam runs a 100 m race in 16 seconds. Calculate how fast he was running in m/s.
Answer:
6.25 m/s
Explanation:
100÷16=6.25
Why can’t you
feel the effect of the reaction
force when an object falls to
Earth?
Answer:
Because the Earth is EXTREMELY massive
Explanation:
A 10-kg medicine ball is thrown at a velocity of 15 m/s to a 65-kg person who is at rest on ice. The
person catches the ball and subsequently slides with the ball across the ice. Determine the velocity of
the person and the ball after the collision.
Answer:
2 m/s
Explanation:
Conservation of momentum:
momentum after catch = momentum of system before catch
before catch . momentum = 10 kg * 15 m/s = 150 kg-m/s
after catch m = 65 + 10 = 75 kg
75 kg * v = 150 kg-m/s
v = 2 m/s
Problem 7: If a double-slit experiment were to be performed underwater, where the index of refraction for water is 1. 33,
instead in the air, where the index of refraction is 1. 00, how would the observed interference pattern be affected? Are the
fringes:
a) More closely spaced b) more widely spaced c) spaced the same as in air?
(Hint: Consider how light changes in a medium with a higher index of refraction. )
Answer:
m λ = d sin θ describes the fringe pattern for a double slit
λ (water) = λ (air) / n = λ / 1.33
Thus the fringes would be more closely spaced.
I need help on this question!! Please answer asap!
Answer:
hub moon merc saturn sun galaxy deep field
Explanation:
a coin falls faster than feather on earth
Answer: true
Explanation: A coin falls faster than a feather on earth because the coin has more mass than the feather so gravity pulls harder on the coin than the feather.
Answer:
Because the feather has more AIR RESISTANCE FORCE than the coin....in a vacuum they would fall at the same rate (no air to provide resistance)
Explanation:
An atom with seven valence electrons would most likely lose an electron to become stable true or fasle
Answer:
false
Explanation:
since it has seven valence electrons it means it's a non metal and non metals always gain electrons.
A 38kg child is at the top of a slide that is 2. 1m tall.
(a) If there is no friction, how fast will they be moving when they reach the bottom of the slide?
(b) If they lose 250. 0J of energy to sound, heat, and friction, how fast will they be moving when they reach the bottom?
Answer:
please do not trust those scam links
It takes at least 4 people to push a refrigerator up a 10-meter ramp. How many people would be needed to push the same refrigerator to the same height using a 20-meter ramp? (Assume no friction for both ramps. )
The group of membranes that extend out from the nucleus throughout the cytoplasm allowing for structural support and efficient movement of materials within the cell is the
A 7.8-kg solid sphere, made of metal whose density is 2500 kg/m3, is suspended by a cord. When the sphere is immersed in water (of density 1000 kg/m3), what is the tension in the cord
Answer:
Density of the liquid = 1470.43 kg/m³
Explanation:
Given:
Mass of solid sphere(m) = 6.1 kg
Density of the metal = 2600 kg/m³
Thus volume of the liquid :
Volume of the sphere = 6.1 kg/2600 kg/m³ = 0.002346 m³
The volume of water displaced is equal to the volume of sphere (Archimedes' principle)
Volume displaced = 0.002346 m³
Buoyant force =
Where
is the density of the fluid
g is the acceleration due to gravity
V is the volume displaced
The free body diagram of the sphere is shown in image.
According to image:
Acceleration due to gravity = 9.81 ms⁻²
Tension force = 26 N
Applying in the equation to find the density of the liquid as:
Thus, the density of the liquid = 1470.43 kg/m³
Density of the liquid = 1470.43 kg/m³
Given:
Mass of solid sphere(m) = 6.1 kg
Density of the metal = 2600 kg/m³
Thus volume of the liquid :
Volume of the sphere = 6.1 kg/2600 kg/m³ = 0.002346 m³
Volume displaced = 0.002346 m³
Acceleration due to gravity = 9.81 ms⁻²
Tension force = 26 N
How do you find the string tension?
The tension of a given rope can be thought of as T = (m × g) + (m × a). Where "g" is the gravitational acceleration of all objects supported by the rope and "a" is the other acceleration. All objects are carried by rope.
Tension represents the force a string or chord receives when someone or something pulls it. In other words, whenever the cord is pulled, it is said to be under tension. Whenever we deal with code or code issues, we assume that the code is flexible and has no mass.
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A light bulb has a resistance of 360. What is the current in the bulb when it has a potential difference of 120 v across it?.
Answer:
1/3 amp
Explanation:
V = IR
V/R = I
120 / 360 = 1/3 amp
Someone claims, based on temperature measurements, that the temperature of a fluid rises during a throttling process in a well-insulated valve with negligible friction. Does this process violate any thermodynamic laws
For someone who claims that based on temperature measurements, the temperature of fluid rises during a throttling process, this assertion is true since no thermodynamic rules are broken.
What is thermodynamics?Generally, Thermodynamics is simply defined as a field of science that is responsible for the relationship between heat and other types of energy.
In conclusion, The temperature of the fluid fluctuates or stays the same during the throttling process.
As a result, this assertion is true since no thermodynamic rules are broken.
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Why can't our current theories describe the conditions that existed in the universe during the Planck era
Current theories can't describe the conditions that existed in the universe during the Planck era because of energy fluctuation.
Who was Planck?He is referred to as the father of quantum mechanics and postulated that the energy of light is proportional to the frequency with the constant being referred to as planck's constant.
Current theories can't describe the conditions that existed in the universe during the Planck era because of energy fluctuation which led to the gravitational field to randomly warp space and time.
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Which is produced around a wire when an electrical current is in the wire?
A.magnetic field
B.solenoid
C.electron flow
D.electromagnet
Answer:
it is a magnetic field
Explanation:
A sphere of metal has a mass of 1431 g and a diameter of 5.80 cm. What is the density of metal in g/cm3
Answer:
see below
Explanation:
You will need t find the volume of the sphere
4/3 pi r^3 divide into the mass
1431 / (4/3 pi (5.8)^3) = 14 gm /cm^3
What does it mean when di is negative?
Answer:When the image distance is positive, the image is on the same side of the mirror as the object, and it is real and inverted. When the image distance is negative, the image is behind the mirror, so the image is virtual and upright.
Explanation: