Carnot refrigerator A has a 26% higher coefficient of performance than Carnot refrigerator B. The temperature difference between the hot and cold reservoirs is 30% greater for B than A.
If the cold-reservoir temperature for refrigerator B is 240K, what is the cold-reservoir temperature for refrigerator A? Express your answer in Kelvins.
Answers
The hot-reservoir temperature for refrigerator A is:
THA = THB / 2.52 = (240 K / 0.3) / 2.52 = 317.46 K
Let THA and TCA be the hot and cold reservoir temperatures, respectively, for refrigerator A, and let THB and TCB be the hot and cold reservoir temperatures, respectively, for refrigerator B.
We know that the coefficient of performance (COP) of a Carnot refrigerator is given by:
COP = TH / (TH - TC),
where TH is the temperature of the hot reservoir and TC is the temperature of the cold reservoir.
For refrigerator A, we have:
COP_A = THA / (THA - TCA)
For refrigerator B, we have:
COP_B = THB / (THB - TCB)
We are given that COP_A is 26% higher than COP_B. Therefore:
COP_A = 1.26 * COP_B
Substituting the expressions for COP_A and COP_B, we get:
THA / (THA - TCA) = 1.26 * (THB / (THB - TCB))
We are also given that the temperature difference between the hot and cold reservoirs is 30% greater for B than A. Therefore:
THB - TCB = 1.3 * (THA - TCA)
We can use these two equations to solve for TCA, the cold-reservoir temperature for refrigerator A:
THB - 1.3 * THA = (-0.3 * TCA) + 1.3 * TCB
Simplifying and rearranging, we get:
TCA = (THB - 1.3 * THA + 1.3 * TCB) / 0.3
Substituting TCB = 240 K and solving for TCA, we get:
TCA = (THB - 1.3 * THA + 1.3 * 240 K) / 0.3
We still need to find THB and THA to solve for TCA. We can use the ratio of COPs to set up an equation with THB and THA:
1.26 * (THB / (THB - 240 K)) = THA / (THA - TCA)
Multiplying both sides by (THA - TCA)(THB - 240 K), we get:
1.26 * THB * (THA - TCA) = THA * (THB - 240 K)
Expanding and simplifying, we get:
1.26 * THA * THB - 1.26 * THA * 240 K = THA * THB - THA * 240 K
Rearranging and factoring, we get:
(1.26 * THA - THA) * THB = 240 K * (1.26 * THA - THA)
Simplifying and solving for THB, we get:
THB = 1.26 * THA * (1 + (240 K / TCA))
Substituting this expression for THB into our earlier equation for TCA, we get:
TCA = (1.26 * THA * (1 + (240 K / TCA)) - 1.3 * THA + 312 K) / 0.3
Multiplying both sides by 0.3 and rearranging, we get a quadratic equation in TCA:
0.378 TCA^2 - 189.792 TCA + 9568.32 = 0
Solving this quadratic equation, we get two solutions: TCA = 300 K or TCA = 800 K. However, the coefficient of performance of a Carnot refrigerator cannot be greater than 1, so TCA must be less than THA. Therefore, the only valid solution is:
TCA = 300 K
Substituting TCA = 300 K into our equation for THB, we get:
THB = 1.26 * THA * (1 + (240 K / 300 K)) = 2.52 * THA
Therefore, the hot-reservoir temperature for refrigerator A is:
THA = THB / 2.52 = (240 K / 0.3) / 2.52 = 317.46 K
Rounding to three significant figures, the cold-reservoir temperature for refrigerator A is:
TCA = 300 K
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Related Questions
Which object has a weight of about 22.5 Newtons
A pic is given above
no trolling or a report is getting thrown right at u
Answers
Answer:
Rock
Explanation:
Right on edg 2021 and 2020000000:P
A car is moving on straight highway with a speed of 108 km/h.
Answers
Answer:
5.3333 sec
Explanation:
initial speed: u = 108km/hr or 30 m/s
final speed: v = 0m/s
distance travelled: s = 80m
time the car took to stop: = t sec
\(v^{2} - u^{2}\) = 2as,
a = (\(v^{2} - u^{2}\))/2s
a = (0-900)/160
a = -5.625 \(ms^{-2}\)
v = u + at,
t = (v - u)/a
t= (0 - 30)/(-5.625)
t = 5.3333 sec
How long does it take for a bicycle traveling 7.0 m/s to come to a stop if the
brakes provide an acceleration of -3.5 m/s2
A. 7.0 S
B. 10.5 s
O C. 3.5 s
D. 2.0 s
Answers
\(\\ \rm\Rrightarrow v=u+at\)
\(\\ \rm\Rrightarrow t=\dfrac{v-u}{a}\)
\(\\ \rm\Rrightarrow t=\dfrac{0-7}{-3.5}\)
\(\\ \rm\Rrightarrow t=\dfrac{-7}{-3.5}\)
\(\\ \rm\Rrightarrow t=2s\)
A ball is dropped from the top of a cliff. Which graph best represents the relationship between the ball's total energy and the elapsed time as the ball falls to the ground?
Answers
Graph A does.
The work you do to carry the ball up to the top of the cliff is the total energy it has.
Before you drop it, all that energy is potential energy.
Once you drop it, the potential energy starts to turn into kinetic energy as it falls.
When it hits the ground, its kinetic energy is exactly the amount of potential energy it had at the top, and it has no more potential energy.
The total (potential + kinetic) energy is the same amount all the way down. Energy isn't created or destroyed.
The graph that shows the ball's total energy and the elapsed time as the ball falls to the ground is graph A.
For a body that is falling from a height, the potential energy of the body is being converted to kinetic energy. We must note that the total mechanical energy of the body is constant.
As such, the graph that shows the ball's total energy and the elapsed time as the ball falls to the ground is graph A.
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write the equation that links distance, force and work done??
Answers
Answer:
\({ \boxed{ \rm{workdone = force \times distance}}}\)
When conducting scientific research, appropriate methods must be used to find information that is reliable and valid. Angela was assigned a research project about human body systems for her anatomy course. She would like to focus on the immune system, and more specifically, the effects of HIV on the immune system. Which of the following options would be the best way for her to conduct an online search about her topic? a. Type in "human body systems" HIV b. Type in "immune system" human c. Type in "HIV immune system" d. Type in "human immune system" HIV effects.
Answers
Answer:
Letter C. type in "human immune system" HIV effects
Explanation:
because she was focusing on the immune system and the effects of HIV in the human body system project
Answer:
its d
Explanation:
In the experiment shown below, which is greater, the force of gravity on the pith balls (Fg) or the electrostatic force between them (Fq)?
Fg > Fq
Fg = Fq
Fg < Fq
Not enough information is given.
Answers
Answer: Fg < Fq
Explanation: just took the lab test edge 2020
The electromagnetic force is greater than the gravitational force option third Fg < Fq is correct.
What is the electrostatic force?It is a force imposed by one charge on another as a result of the field. The electrostatic force produced by one line charge on another line charge separated by r is determined by the charge potency of each charge as well as the separation distance between them.
Force of gravity is given by:
\(\rm F_g=\dfrac{Gm_1m_2}{r^2}\)
The electrostatic force is given by:
\(\rm F_q = \dfrac{kq_1q_2}{r^2}\)
On the atomic scale, electrons, for example, have very little mass but a very large charge. As a result, electromagnetic forces rule.
Thus, the electromagnetic force is greater than the gravitational force option third Fg < Fq is correct.
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Sienna made a chart listing the steps that describe how a four-stroke heat engine operates.
COM
Step
1
Name
intake
2
ignition
Description
piston moves down and fuel-air mixture
enters cylinder
spark plug fires and causes combustion,
leading to gas expansion
piston moves up and temperature of gas
increases
piston moves up, pushing burned gas
through exhaust valve
3
compression
4
exhaust
Which best describes Sienna's error?
o The descriptions for intake and ignition should be switched with one another.
O During compression, temperature does not increase, it decreases.
O Compression happens before ignition, so it should be step 2.
O The piston moves down, not up, during the exhaust step.
Answers
Answer:
C
Explanation:
Answer:
c
Explanation:
e2020
What is a similar Mid-Ocean Ridge on dry land compared to?
Answers
Answer:
Mid-ocean ridges around the globe are linked by plate tectonic boundaries and the trace of the ridges across the ocean floor appears similar to the seam of a baseball.
Explanation:
A hair dryer with a resistance of 12.0 W and a lamp with a resistance of 125 W are connected in parallel to a 125-V source through a 1.50-W resistor in a series. Find the current through the lamp when the hair dryer is on.Question 2 options:1) 0.880 A2) 8.80 A3) 88.0 A4) 880 A
Answers
Given:
Resistance of hair dryer, R1= 12.0 Ohms
Resistance of lamp, R2 = 125 ohms
Voltage of source = 125 V
Resistance = 1.50 ohms
Let's find the curent through the lamp when the hair dryer is on.
Here, the lamp and dryer are connected in parralel. To calculate the equivalent resistance, apply the formula:
\(\begin{gathered} \frac{1}{R_p}=\frac{1}{R_1}+\frac{1}{R_2} \\ \\ R_p=\frac{R_1R_2}{R_1+R_2} \\ \\ R_p=\frac{12\ast125}{12+125} \\ \\ R_p=\frac{1500}{137} \\ \\ R_p=10.9\text{ }\Omega \end{gathered}\)Now, the Rp and the resistor are connected in series.
To find the equivalent resistance in series, we have:
\(\begin{gathered} R_{eq}=R_p+R \\ \\ R_{eq}=10.9+1.50=12.4\text{ }\Omega \end{gathered}\)We now have a single resistor flowing through the 125 voltage source.
To find the current, apply Ohm's law:
\(V=I\ast R\)Solve for the current (I), where:
V = 125 volts
R = 12.4 Ω
Thus, we have:
\(\begin{gathered} I=\frac{V}{R} \\ \\ I=\frac{125}{12.4}=10.1\text{ A} \end{gathered}\)Since the resistor and Rp are connected in series, we have:
\(\begin{gathered} V_p_{}=I_p\ast R_p \\ \\ V_p=10.1\ast10.9=110.1\text{ V} \end{gathered}\)Since the dryer and the lamp are in parallel, the voltage through them are the same.
V(dryer) = V(lamp) = 110.1 Volts
To find the current flowing through the lamp, we have:
\(\begin{gathered} I_{\text{lamp}}=\frac{V_{lamp}}{R_{\text{lamp}}} \\ \\ I_{\text{lamp}}=\frac{110.1}{125}=0.88\text{ A} \end{gathered}\)Therefore, the current through the lamp when the hair dryer is on is 0.880 ampere.
ANSWER:
1) 0.880 A
when you push down on the handle of a doll-like wooden nutcracker, its jaw pivots upward and cracks a nut. if the point at which you push down on the handle is five times as far from the pivot as the point at which the jaw pushes on the nut, how much force will the jaw exert on the nut if you exert a force of 20 n on the handle? (assume all forces are at right angles to the lever arms involved.)
Answers
The jaw of the nutcracker will exert a force of 100 N on the nut if a force of 20 N is exerted on the handle.
The force exerted on the nut by the jaw of the nutcracker can be calculated using the Lever Principle. This states that the input force multiplied by the length of the lever arm on which it acts is equal to the output force multiplied by the length of the other lever arm.
In this problem, the input force (Fin) is 20N, and the length of the lever arm (lin) is 5 times the length of the other lever arm (lout). This means that the output force (Fout) can be calculated using the equation below:
\(F_{out} = (F_{in} \times l_{in}) / l_{out}\)
Substituting the given values:
\(F_{out} = (20 \times 5) / 1 = 100\ N\)
Therefore, the force exerted by the jaw on the nut is 100 N.
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Weight is the amount of matter in an object true or false
Answers
Answer:
False.
Explanation:
Mass is the amount of matter in a given object. Weight is the force acting on an object due to gravity.
Answer:
False
Explanation:
Weight is the act of pulling an object towards the earth surface so weight is a force to amount
What is the concentration of the acute leukemia cc95 combination value in micromolar (μm) units?
Answers
The concentration of the acute leukemia cc95 combination value in micromolar (μm) units is 6 × 10-4 μM.
Acute lymphocytic leukemia (ALL) is also called acute lymphoblastic leukemia. “Acute” means that the leukemia can progress quickly, and if not treated, would probably be fatal within a few months. "Lymphocytic" means it develops from early (immature) forms of lymphocytes, a type of white blood cell.
A rapidly progressing cancer that starts in blood-forming tissue such as the bone marrow, and causes large numbers of white blood cells to be produced and enter the blood stream.
In acute leukemia, the abnormal blood cells are immature blood cells (blasts). They can't carry out their normal functions, and they multiply rapidly, so the disease worsens quickly. Acute leukemia requires aggressive, timely treatment.
This corresponds to 0.6 × 10^-9 M × (1 μM/1 × 10^-6 M) = 0.6 × 10^-3 μM = 6 × 10-4 μM.
Acute myeloid leukemia (AML) is caused by a DNA mutation in the stem cells in your bone marrow that produce red blood cells, platelets and infection-fighting white blood cells. The mutation causes the stem cells to produce many more white blood cells than are needed.
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What would happen to a current in a circuit if the resistance is multiplied by four
Answers
Answer:
The current would be multiplied by 1/4, meaning it is reduced by 3/4 of itself.
Explanation:
This is because when the resistance increases, the current decreases along with it.
in ac ciruits, inductors exhibit a large impedance for -frequency voltage sources and capcitors exhibit a large impedane for
Answers
Answer:
In AC circuits, inductors exhibit a large impedance for high-frequency voltage sources and capacitors exhibit a large impedance for low-frequency voltage sources.
Explanation:
Capacitors
Capacitors are electrical devices that store energy in an electric field. Capacitors are made up of two conductive plates separated by a non-conductive material known as a dielectric. The capacitance of a capacitor determines the amount of electrical energy that it can store when charged. The capacitive reactance of a capacitor varies with the frequency of the AC source. Capacitors exhibit a large impedance for low-frequency voltage sources in AC circuits. The capacitor's impedance decreases with increasing frequency.
How do Capacitors Work? Capacitors are devices that are used to store energy in an electric field. When an electrical current flows through a capacitor, the current charges the capacitor's plates. The capacitor stores energy in its electric field as the charge accumulates. When the capacitor is fully charged, it will stop accepting new charges. When the capacitor is connected to a circuit, it releases its stored energy in the form of an electrical current. The rate at which a capacitor discharges depends on its capacitance and the resistance of the circuit in which it is connected.
What are Inductors? An inductor is a passive electrical device that stores energy in a magnetic field. An inductor is made up of a coil of wire wound around a core made of a magnetic material. The inductance of an inductor determines the amount of electrical energy that it can store when charged. The inductive reactance of an inductor varies with the frequency of the AC source. Inductors exhibit a large impedance for high-frequency voltage sources in AC circuits. The inductor's impedance increases with increasing frequency.
How do Inductors Work? Inductors are devices that are used to store energy in a magnetic field. When an electrical current flows through an inductor, the current generates a magnetic field. The inductor stores energy in its magnetic field as the current flows through it. When the current stops flowing, the inductor releases its stored energy in the form of an electrical current. The rate at which an inductor discharges depends on its inductance and the resistance of the circuit in which it is connected.
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What statement describes a way electromagnetic waves are different from mechanical waves
Answers
Answer:
electromagnetic waves can travel through a vacuum where as mechanical waves have to have a medium to travel
Explanation:
How do you think the switch controls the flow of current to the light?
Answers
Answer:
A switch interrupts the flow of current in a circuit.
Explanation:
Electroconvulsive therapy has been most successful in the treatment of:.
Answers
Given what we know, we can confirm that electroconvulsive therapy has been most successful in the treatment of major depression.
What is Electroconvulsive therapy?This is a relatively new procedure. It involves the intentional triggering of brief seizures in the brain. This is done while the patient is under the effects of anesthesia and is therefore painless. These seizures cause a dynamic shift in the brain chemistry of the patients, leading to greatly reduced symptoms in over 80% of patients.
Therefore, we can confirm that electroconvulsive therapy has been most successful in the treatment of major depression.
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A hydrogen bond is a special form of a(n)
a. covalent bond.
b. dipole-dipole force.
C. ionic bond.
d. London dispersion force.
Answers
Answer:
B
Explanation:
Which combination of characteristics produces the LEAST energetic waves?
.
A. short wavelength, low frequency
B. short wavelength, high frequency
C. long wavelength, low frequency
D. long wavelength, high frequency
Answers
Answer:
C.
long wavelength, low frequency
Explanation:
The energy of wave depends on the wave frequency and wave amplitude.
The Wave energy can also be determined by wavelength, wave speed, amplitude, water density e.t.c
According to the question that
Which combination of characteristics produces the LEAST energetic waves ?
The correct option will be
C. long wavelength, low frequency
Option C is therefore the correct answer.
Answer:
Explanation:
c
How far has a dolphin traveled in kilometers if it swims for 1.8 h at 5.6 km/h ?
Answers
Answer:
distance = 6.26342 miles
Explanation:
Calculate thc work that must be done on charges brought from infinity to charge & spherical shell of radius R" 0.1OO m to & total charge Q-125 mc 502 J B) 602 J C) 702 ] D) 802 J E) 902 J
Answers
The work that must be done on charges brought from infinity to a spherical shell of radius R = 0.100 m and total charge Q = 125 mc is 602J. Hence, option B is the correct answer to this question.
To calculate the work that must be done on charges brought from infinity to a spherical shell of radius R, we can use the formula for the electric potential energy, which is given by U = kq1q2/r
Where k is the Coulomb constant, q1 and q2 are the charges, and r is the distance between the charges.
In this case, the work done on a single charge of q = Q/n, where Q is the total charge on the shell and n is the number of charges, brought from infinity to a distance of r = R from the center of the spherical shell is given by:
W = qU = q(kq/R) = kq^2/R
Since the total charge on the spherical shell is Q = 125 mc and the radius of the shell is R = 0.100 m, the work done on each charge is:
W = kq^2/R = (8.99x10^9 N.m^2/C^2)(125x10^-6 C)^2/(0.100 m) = 602 J
Therefore, the work that must be done on charges brought from infinity to a spherical shell of radius R = 0.100 m and total charge Q = 125 mc is 602 J.
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Chapter 3 Newton’s second law force and acceleration
Answers
According to the second motion law, acceleration is created. As a result, the force applied to an item equal its and even times the rate at which its velocity changes over time (acceleration).
What is the second law of Newton? Chapter 6: Force and Acceleration in the Second Law of Newton's of Motion?According to Newton's second law, an object's acceleration is approximately equal to its net force's magnitude, moves in the exact same direction as its net force, and is negatively proportionate to the weight of the thing.
How is the second law of Newton's of acceleration and force is expressed?F = ma, or force, is measured as mass times acceleration. According to the rule, an object's acceleration is influenced by both its mass and the force being applied. The law on kinetic energy and force is another name for Newton's second principle of motion.
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in an l-r-c series circuit te the phase angle is 53 and the source voltage lags the current. what is the current amplitude in the circuit.
Answers
In an LRC series circuit, the phase angle is 53 degrees and the source voltage lags the current. The current amplitude in the circuit can be calculated using the formula:I = V_s/X
where I is the current amplitude, V_s is the source voltage, and X is the reactance of the circuit. In an LRC series circuit, the total reactance is given by:
X = R + j(X_L - X_C)
where R is the resistance of the circuit, X_L is the inductive reactance, and X_C is the capacitive reactance. The phase angle of the circuit is given by:tan(φ) = (X_L - X_C)/R
In this case, because the source voltage lags the current, the phase angle is positive, so we have: φ = 53 degrees
Using the above equation, we can solve for (X_L - X_C)/R:
tan(53) = (X_L - X_C)/R
(X_L - X_C)/R = tan(53) = 1.327
Substituting this value into the expression for X, we get:
X = R + j(X_L - X_C) = R + jR tan(53) = R(1 + j tan(53))
The reactance of the circuit is therefore X = R(1 + j tan(53)).
The current amplitude can now be calculated using the formula:
I = V_s/X = V_s/(R(1 + j tan(53))).
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write down the expressions for the heat produced per second in a resistor in terms of potential difference and current
Answers
Answer:
the correct answer is :
heat produced = I^2RT
A ball is tossed vertically upward with a speed of 10.0 m/s. When it is caught at the same height from which it was thrown, it will have a downward speed of about
Answers
The downward speed of the ball when caught will be approximately 10.0 m/s.
In what direction will the ball be moving when caught at the same height?When a ball is tossed vertically upward with a speed of 10.0 m/s and caught at the same height from which it was thrown, its downward speed will be approximately 10.0 m/s. This is because the ball experiences a constant acceleration due to gravity, causing it to slow down as it reaches its highest point and then accelerate downward on its way back down.
The magnitude of the downward speed, when caught, is equal to the magnitude of the initial upward speed. However, the direction of the velocity is now downward since the ball is moving in the opposite direction of its initial toss.
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What is a metal?????????
Answers
Answer:
A metal is a material that, when freshly prepared, polished, or fractured, shows a lustrous appearance, and conducts electricity and heat relatively well. Metals are typically malleable (they can be hammered into thin sheets) or ductile (can be drawn into wires). A metal may be a chemical element such as iron; an alloy such as stainless steel; or a molecular compound such as polymeric sulfur nitride.
PLS HELP. ITS ONLY MULTIPLE CHOICE QUESTIONS AND ONE RESPONSE. thankyouuu, ill give u brainlest!
Answers
Answer:
1. C
2. B
5. C
B. The recoil is a result of conservation of momentum. The force of the ignition of the gunpowder that pushes the bullet forward will be balanced out by also pushing against the gun.
Newton's third law is displayed in each of these questions.
Answer:
1.) c
2.) b
3.) c
Explanation:
I actually had the same test and made a 90%
Smithfield Hams is forecasted to pay a dividend of $1.50 for the following year and expects dividends to grow at a rate of 3% into the future. If investors require an 11% rate of return from Smithfield, what should its current share price be
Answers
The current share price of Smithfield Hams should be $18.75. Investors would expect this price to receive an 11% rate of return given the forecasted dividend and growth rate.
The current share price of Smithfield Hams can be determined using the dividend discount model (DDM). According to the DDM, the current share price is equal to the present value of all expected future dividends. In this case, Smithfield Hams is forecasted to pay a dividend of $1.50 for the following year, and dividends are expected to grow at a rate of 3% indefinitely. The required rate of return from investors is 11%.
To calculate the current share price, we can use the formula:
Current Share Price = Dividend / (Required Rate of Return - Dividend Growth Rate)
Plugging in the values:
Current Share Price = $1.50 / (0.11 - 0.03)
Simplifying the equation:
Current Share Price = $1.50 / 0.08
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hi can someone help me in this one
Answers
The kinetic energy of an object is given by the formula:
KE = (1/2)mv^2
where m is the mass of the object and v is its velocity.
For the first object with a mass of 2 kg and a speed of 2 m/s, the kinetic energy is:
KE = (1/2)(2 kg)(2 m/s)^2 = 4 J
For the second object with a mass of 4 kg and a speed of 3 m/s, the kinetic energy is:
KE = (1/2)(4 kg)(3 m/s)^2 = 18 J
Therefore, the second object with a mass of 4 kg and a speed of 3 m/s has more kinetic energy while being lifted.
The calculations show that the kinetic energy of an object is proportional to both its mass and the square of its velocity. This means that the greater the mass and velocity of an object, the greater its kinetic energy.
To determine which object has more potential energy when lifted at a distance of 10 m, we need to know the gravitational potential energy formula:
PE = mgh
where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2), and h is the height or distance lifted.
For the first object with a mass of 2 kg lifted at a distance of 10 m, the potential energy is:
PE = (2 kg)(9.8 m/s^2)(10 m) = 196 J
For the second object with a mass of 4 kg lifted at a distance of 10 m, the potential energy is:
PE = (4 kg)(9.8 m/s^2)(10 m) = 392 J
Therefore, the second object with a mass of 4 kg has more potential energy when lifted at a distance of 10 m.
This calculation shows that the gravitational potential energy of an object is proportional to its mass, the acceleration due to gravity, and the height or distance lifted. Therefore, the greater the mass and the height lifted, the greater the gravitational potential energy.
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