Answers
Complete Question
C2B.7
Suppose I drop a 60-kg anvil from rest and from such a height that the anvil reaches a speed of 10 m/s just before hitting the ground. Assume the earth was at rest before I dropped the anvil.
(a) What is the earth's speed just before the anvil hits?
b) How long would it take the earth to travel \(1.0 \mu m\) (about a bacterium's width) at this speed?
Answer:
a
\(|v_1| = 1.0*10^{-22} \ m/s\)
b
\(t = 9.95 *10^{15} \approx 10 *10^{15} \ s\)
Explanation:
From the question we are told that
The mass of the anvil is \(m_a = 60\ kg\)
The speed at which it hits the ground is \(v = 10 \ m/s\)
Generally the mass of the earth has a value \(m_e = 5972*10^{24} \ kg\)
Now according to the principle of momentum conservation
\(P_i = P_f\)
Where \(P_i\) is the initial momentum which is zero given that both the anvil and the earth are at rest
Now \(P_f\) is the final momentum which is mathematically represented as
\(P_f = m_a * v + m_e * v_1\)
So
\(0 = m_a * v + m_e * v_1\)
substituting values
\(0 = 60 * 10 + 5.972 *10^{24} * v_1\)
=> \(v_1 = -1.0*10^{-22} \ m/s\)
Here the negative sign show that it is moving in the opposite direction to the anvil
The magnitude of the earths speed is
\(|v_1| = 1.0*10^{-22} \ m/s\)
The time it would take the earth is mathematically represented as
\(t = \frac{d}{|v_1|}\)
substituting values
\(t = \frac{1.0*10^{-6}}{1.0 *10^{-22}}\)
\(t = 10 *10^{15} \ s\)
Related Questions
Einstein's equivalence principle says that __________. Einstein's equivalence principle says that __________. everyone measures the speed of light to be equivalent someone traveling at 0.9c will age at the same rate as someone at 0.99c all people see themselves at an equivalent distance to the center of the universe the effects of gravity are exactly equivalent to the effects of acceleration
Answers
Answer:
Einstein's equivalence principle says that __________.
the effects of gravity are exactly equivalent to the effects of acceleration
Explanation:
The equivalence principle is one of the fundamental laws of physics, as enunciated by Einstein. It categorically states that the gravitational and inertial forces are of a similar nature. In physics, a gravitational acceleration is the acceleration of an object in a free fall within a space. The importance of Einstein's Equivalence Principle is explained by his theory of general relativity. This theory states that mass is the same, whether inertial or gravitational.
According to the Einstein's equivalence principle, the effects of gravity are exactly equivalent to the effects of acceleration.
Einstein's equivalence principle says that the effects of gravity are exactly equivalent to the effects of acceleration.
What is Einstein's equivalence principle?Einstein's equivalence principle states that the the force due to gravity and the force of inertia are similar in the nature and there is no need to distinct them.
The inertia force is opposite in direction to accelerating force of a body. Thus the Einstein's equivalence principle can also be stated as "the effects of gravity are exactly equivalent to the effects of acceleration." Form the given option the correct option which can be filled in the blank is option 2 which states that the effects of gravity are exactly equivalent to the effects of acceleration.Thus Einstein's equivalence principle says that the effects of gravity are exactly equivalent to the effects of acceleration.
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A rover vehicle weighs 37 N on Mars. How much would the rover weigh on Earth?
Answers
The weight of the rover vehicle on Earth, given that it weighs 37 N on Mars is 99.5 N
How do determine the weight of the vehicle on earth?We'll begin by obtaining the mass of the rover vehicle. This is shown below:
Weight (W) = 37 NAcceleration due to gravity on Mars (g) = 3.72 m/sMass of rover vehicle =?Weight (W) = mass (m) × Acceleration due to gravity (g)
W = mg
Divide both sides by g
m = W /g
m = 37 / 3.72
m = 9.95 Kg
Now, we shall determin the weight of the rover vehicle on Earth. Details below:
Mass (m) = 9.95 KgAcceleration due to gravity on Earth (g) = 10 m/s² Weight (W) = ?Weight (W) = mass (m) × Acceleration due to gravity (g)
Weight (W) = 9.95 × 10
Weight = 99.5 N
Thus, we can conclude that the weight on Erath is 99.5 N
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The value found for the universal gravitational constant, G, will vary depending on the materials used for the balls of a Cavendish balance. Question 11 options: True False
Answers
Answer:
false
Explanation:
took the test
In the 1980s, the term picowave was used to describe food irradiation in order to overcome public resistance by playing on the well-known safety of microwave radiation. Find the energy in MeV of a photon having a wavelength of a picometer.
Answers
Answer:
1.24Mev
Explanation:
Using
E= hc/lambda
= (6.62x10^-19) x(3x10^8m/s)/(1x10^-12) x 1.602x10^-9
= 1.24Mev
The “Ring of Fire” is a long chain of volcanoes that encircles the Pacific Ocean. Which of the following is the best explanation for the arrangement of these volcanoes?
A) They follow the shape of the adjacent tectonic plates under the ocean.
B) One volcano usually triggers a second volcano with its hot magma.
C) Volcanoes always form in rings because of underwater convection currents.
Answers
Answer:
c
Explanation:
Because i had a test on this and got this answer
2 A rectangular storage tank 4 m long by 3 m wide is filled with paraffin to a depth
of 2 m. Calculate:
a the volume of paraffin
c the weight of paraffin
b the mass of paraffin
d the pressure at the bottom of the tank due
to the paraffin
1m
Answers
For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:
a. The volume is 24 m³.
b. weight is 240,000 N,
c. mass is 24,490 kg, and
d. pressure is 23,530 Pa.
a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:
Volume = Length x Width x Depth
Given:
Length = 4 m
Width = 3 m
Depth = 2 m
Substituting the values into the formula, we have:
Volume = 4 m x 3 m x 2 m
Volume = 24 m³
Therefore, the volume of paraffin in the tank is 24 cubic meters.
b) The weight of the paraffin can be calculated using the formula:
Weight = Volume x Density x Acceleration due to gravity
The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:
Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²
Weight = 240,000 N
Therefore, the weight of the paraffin in the tank is 240,000 Newtons.
c) The mass of the paraffin can be calculated using the formula:
Mass = Density x Volume
Substituting the given values:
Mass = 10,000 kg/m³ x 24 m³
Mass = 24,490 kg
Therefore, the mass of the paraffin in the tank is 24,490 kilograms.
d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:
Pressure = Weight / Area
The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:
Area = 4 m x 3 m
Area = 12 m²
Pressure = 240,000 N / 12 m²
Pressure = 20,000 Pa
Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).
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A block of mass 0.40 kg and density 2900 kg/m3 is completely submerged under the water in static equilibrium on top of a spring (k = 50.0 N/m) that is fixed to the bottom of the container as shown in the figure. How much is the spring compressed? (the density of water is 1000 kg/m3) cm40
Answers
A block of mass 0.40 kg and density 2900 kg/m3 is completely submerged under the water in static equilibrium on top of a spring (k = 50.0 N/m) that is fixed to the bottom of the container, the spring is compressed by 0.051 m.
To determine the amount that the spring is compressed, you will need to consider the mass of the block, the density of the block and the water, and the spring constant of the spring.
The weight of the block is equal to the mass of the block times the acceleration due to gravity.
The equation for the weight of the block can be written as:
W = m * g
where W is the weight of the block, m is the mass of the block (0.40 kg), and g is the acceleration due to gravity (9.8 m/s^2).
Plugging in the values, you get:
W = 0.40 kg * 9.8 m/s^2
W = 3.92 N
The buoyant force acting on the block is equal to the weight of the water displaced by the block. The weight of the water displaced by the block is equal to the volume of the block times the density of the water times the acceleration due to gravity.
The equation for the buoyant force can be written as:
F_b = V * rho_w * g
where F_b is the buoyant force, V is the volume of the block, rho_w is the density of the water (1000 kg/m^3), and g is the acceleration due to gravity (9.8 m/s^2).
The volume of the block can be calculated using the density of the block and the mass of the block.
The equation for the volume of the block can be written as:
V = m/rho
where V is the volume of the block, m is the mass of the block (0.40 kg), and rho is the density of the block (2900 kg/m^3).
Plugging in the values, you get:
V = 0.40 kg / 2900 kg/m^3
V = 0.0014 m^3
Plugging this value into the equation for the buoyant force, you get:
F_b = 0.0014 m^3 * 1000 kg/m^3 * 9.8 m/s^2
F_b = 1.37 N
The net force acting on the block is equal to the weight of the block minus the buoyant force.
The equation for the net force can be written as:
F_net = W - F_b
where F_net is the net force, W is the weight of the block, and F_b is the buoyant force.
Plugging in the values, you get:
F_net = 3.92 N - 1.37 N
F_net = 2.55 N
The spring force is equal to the spring constant times the amount that the spring is compressed.
The equation for the spring force can be written as:
F_s = k * x
where F_s is the spring force, k is the spring constant (50.0 N/m), and x is the amount that the spring is compressed.
Solving for x, you get:
x = F_s / k
Plugging in the values, you get:
x = 2.55 N / 50.0 N/m
x = 0.051 m
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A DC electric motor transforms 5.3 kW of electrical power into mechanical form. If the motor's operating voltage is 250 volts, how much current does it "draw"?
Answers
The current drawn in the circuit by the DC electric motor is found to be 21.2 amperes.
Explain about the electrical power?Electric power is a standard measure for how quickly electrical energy is delivered over an electric circuit.
P represents for power, which is denoted and measured and use the SI unit of power, the watt, or a joule per second. Electric batteries and electric generators are frequently used to produce and supply electricity. The movement of electrical power as well as charge is known as electricity.Power of electric motor P = 5.3 KW = 5300 W
Operating Voltage V = 250 volts
Power = Current * voltage
P = V * I
I = P / V
I = 5300 / 250
I = 21.2 A
Thus, the current drawn in the circuit by the DC electric motor is found to be 21.2 amperes.
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Find the current through a 20ohm resistance, and current through a 40ohm resistance
Answers
Explanation:
\(thank \: you\)
an object with zero acceleration must have zero velocity
Answers
Answer:
Explanation: For the most part velocity is not zero if an object is accelerating. Since acceleration is the change in velocity over time, there has to be a change in velocity for something to accelerate. ... If the velocity is constant however, the acceleration is zero (because the velocity isn't changing over time).
An object with zero acceleration must have zero velocity. The given statement is true. As, acceleration is the change in velocity of an object.
What is Acceleration and velocity?Velocity is the rate of change of displacement of an object. Velocity is a vector quantity as it consists of both magnitude and direction of motion of an object.
Velocity = Displacement/ Time
Acceleration is the rate of change of velocity. Acceleration results when the velocity of an object changes. If an object is changing its velocity with respect to time, i.e. changing its speed or direction, then it is said to be in acceleration. Acceleration is also a vector quantity, it is just the change in a vector quantity that is velocity.
Acceleration = Velocity / Time
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A crate is pulled due south with a force of 350. N. What other force must be applied if the
net force on the crate is 425 N due north? Enter the magnitude (with units) and direction
(north, south, east, west).
Answers
Answer:
775 N due North.
Explanation:
If the crate is pulled South with 350 N force, and the net force on the crate results into 425 N due North, then the other force (F) acting must be larger than the 350 N, and pointing North:
F - 350 N = 425 N
F = 425 N + 350 N = 775 N due North.
Determine the angular momentum of a 74- g particle about the origin of coordinates when the particle is at x = 4.3 m , y = -5.5 m , and it has velocity υ=(3.1i^−8.1k^)m/s .
Find the x -component.
Find the y -component.
Find the z -component.
Answers
The x -component of the angular momentum of the particle is 0.99 kgm²/s.
The y -component of the angular momentum of the particle is 3.3 kgm²/s.
The z -component of the angular momentum of the particle is 0.
What is angular momentum?
Angular momentum is the property of any rotating object given by moment of inertia times angular velocity.
Mathematically, the formula for angular momentum is given as;
L = mvr
where;
m is the mass of the objectv is the velocity of the objectr is the radius of the objectThe given parameters include the following;
the velocity of the particle = ( 3.1i - 8.1 k) m/s
the mass of the particle = 74 g = 0.074 kg
the displacement of the particle, x = 4.3 m, y = - 5.5 m
The x -component of the angular momentum of the particle is calculated as;
Lx = 0.074 x 3.1 x 4.3
Lx = 0.99 kgm²/s
The y -component of the angular momentum of the particle is calculated as;
Ly = 0.074 x ( -8.1) x (-5.5)
Ly = 3.3 kgm²/s
The z-component of the angular momentum of the particle is calculated as;
Lz = 0.074 x ( 0 ) x (0)
Lz = 0
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Two objects are dropped from a bridge, an interval of 1.0 s apart, and experience no appreciable air resistance. As time progresses, the DIFFERENCE in their speeds
a.
increases.
b.
remains constant.
c.
decreases.
d.
increases at first, but then stays constant.
e.
decreases at first, but then stays constant.
Answers
Answer: a
Explanation:
Which of the following is NOT a characteristic of science?
Group of answer choices
Predictions must be testable through observations or experiments.
The results of repeated observations or experiment are more or less the same.
Science is subject to revision and correction based on new observations
It appeals to authority to establish its validity.
Answers
Answer:
C
Explanation:
it is C because science is an acquiring and defining of knowledge.
Tom applied 10 000J of heat energy to four (4) metals A, B, C and D. All the metals were of the same mass and were initially at the same temperature. After heating the metals the temperature change was noted as shown in the table below. Metal 9 A.25 B.35 C.10 D.15 Which of these four (4) metals has the highest heat capacity?
Answers
The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.
How to determine heat capacity?Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.
Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.
Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.
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What is average acceleration due to gravity on Earth for a 2000 kg boulder, in proper SI units?
Answers
Answer:
9.8m/s²
Explanation:
The average acceleration due to gravity on Earth for a 2000kg boulder is 9.8m/s².
Every object on earth is accelerated towards the center by a rate of change of velocity with time value of 9.8m/s².
The acceleration due to gravity on earth is a constant value from places to places.
For other planetary bodies, the value varies and it differs.
But on earth every object is accelerated at 9.8m/s².
A sample of an unknown material appears to weigh 300N in air and 200N when immersed in alcohol of density 700kg/m^3 . What is the volume and density of the material
Answers
Answer:
the volume of the material is 0.0145 m^3 and its density is 20690.3 kg/m^3.
Explanation:
To solve the problem, we can use Archimedes' principle, which states that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Let's first find the weight of the unknown material in air:
W_air = 300 N
Next, let's find the weight of the unknown material in alcohol:
W_alcohol = 200 N
We can find the buoyant force acting on the material by subtracting the weight in alcohol from the weight in air:
F_buoyant = W_air - W_alcohol = 300 N - 200 N = 100 N
According to Archimedes' principle, this buoyant force is equal to the weight of the alcohol displaced by the material:
F_buoyant = ρ_alcohol * V * g
where ρ_alcohol is the density of the alcohol, V is the volume of the material, and g is the acceleration due to gravity.
Substituting the values we know:
100 N = 700 kg/m^3 * V * 9.81 m/s^2
Solving for V:
V = 0.0145 m^3
Finally, we can find the density of the material by dividing its weight in air by its volume:
ρ_material = W_air / V = 300 N / 0.0145 m^3 = 20690.3 kg/m^3
Therefore, the volume of the material is 0.0145 m^3 and its density is 20690.3 kg/m^3.
5. You are driving at a constant speed of 35.0 m/s
when you pass a traffic officer on a motorcycle
hidden behind a billboard. One second after your
car passes the billboard, the traffic officer sets out
from the billboard to catch you, accelerating at a
constant rate of 3.0 m/s². How long does it take the
traffic officer to overtake your car?
Answers
The traffic cop needs 23.3 seconds to pass the automobile.
What is the acceleration of a car moving in a straight line at a constant speed?When your velocity (not speed) changes, you are accelerating. A automobile moving at a steady 100 km/h in a straight line has no acceleration. Average acceleration is equal to (change in velocity) / (duration). The car's acceleration is zero because its change in velocity is also zero.
\(d1 = v1*t1 = 35.0 m/s * 1 s = 35.0 m\)
\(d = d1 = 35.0 m\)
\(d2 = v2*t + (1/2)at^2\)
\(d2 = (1/2)at^2\)
\(v2*t + (1/2)at^2 = (1/2)at^2\)
\(v2*t = (1/2)at^2\)
Solving for t, we get:
\(t = (2v2/a) = (235.0 m/s)/3.0 m/s^2 = 23.3 s\) (rounded to 2 decimal places)
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which of the following best describes pseudoscience?
Answers
Answer:
The answer is A
Explanation:
Answer:
implausible or untestable scientific claims
The index of refraction of n-propyl alcohol is 1.39. Find the angle of refraction of light in that medium if light comes from air with an angle of incidence of 55 degrees.
Answers
Answer:
36.11 degrees
Explanation:
index of refraction n = sin i/sinr
i is the angle of incidence
r is the angle of refraction
Substitute into the expression
1.39 = sin55/sin(r)
1.39 = 0.8191/sin(r)
sin(r) = 0.8191/1.39
sin(r) = 0.5893
r = arcsin(0.5893)
r = 36.11
hence the angle of refraction of light is 36.11 degrees
value of g is independent of
Answers
Answer:
mass
Explanation:
The value of g (acceleration due to gravitation) is independent of the mass of the object.
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Describe the life cycle of a star before it collapses into a black hole.
Describe the life cycle of a star before it becomes a black dwarf.
What is the likely outcome of our sun? *
The sun will supernova and become a black hole.
The sun will swell, encompassing the inner planets and collapses into a dwarf star.
The sun will become a pulsar.
How Do You Know?
P.S. the how do you know is only for the last question
Answers
1) describe the life cycle of a star before it collapses into a black hole.
1) describe the life cycle of a star before it collapses into a black hole.ans: A star's life cycle is determined by its mass. The larger its mass, the shorter its life cycle. A star's mass is determined by the amount of matter that is available in its nebula, the giant cloud of gas and dust from which it was born. Over time, the hydrogen gas in the nebula is pulled together by gravity and it begins to spin. As the gas spins faster, it heats up and becomes as a protostar. Eventually the temperature reaches 15,000,000 degrees and nuclear fusion occurs in the cloud's core. The cloud begins to glow brightly, contracts a little, and becomes stable. It is now a main sequence star and will remain in this stage, shining for millions to billions of years to come. This is the stage our Sun is at right now.
2) describe the life cycle of a star before it becomes a dwarf.
ans: The life cycle of a low mass star (left oval) and a high mass star (right oval). ... As the core collapses, the outer layers of the star are expelled. A planetary nebula is formed by the outer layers. The core remains as a white dwarf and eventually cools to become a black dwarf.
3) what is the likely outcome of our sun?
ans: All stars die, and eventually — in about 5 billion years — our sun will, too. Once its supply of hydrogen is exhausted, the final, dramatic stages of its life will unfold, as our host star expands to become a red giant and then tears its body to pieces to condense into a white dwarf.
Which has the most energy stored as heat?
a cup of ice
a bathtub of cold water
a cup of boiling water
a bucket of ice water
Answers
explanation of the 3 newtons laws? at least 2 paragraphs please
Answers
Newton's first law of motion, also known as the law of inertia, states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. In other words, objects tend to maintain their current state of motion unless a force acts upon them. This law helps to explain why it is more difficult to move a heavy object than a light one and why objects in motion tend to stay in motion.
Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this law can be expressed as F=ma, where F is the net force acting on an object, m is its mass, and a is its acceleration. This law helps to explain how forces affect the motion of objects and why heavier objects require more force to move or accelerate than lighter ones.
Newton's third law of motion states that for every action, there is an equal and opposite reaction. This law means that when two objects interact, the forces they exert on each other are equal in magnitude and opposite in direction. This law helps to explain why rockets work and why we are able to walk or run on the ground - the ground pushes back with an equal and opposite force to the force we apply to it.
Overall, these three laws of motion provide a comprehensive framework for understanding how objects move and interact with one another in the physical world. They are essential for describing and predicting the behavior of everything from tiny particles to massive celestial bodies.
In adolescence, friendships become less interethnic. Why might this be? Did this hold true for you in adolescence
Answers
Answer:
hi-
Explanation:
During the early teenage years, friendships become more intense, close and supportive. The amount that teenagers communicate with their friends increases. Teenage friendships tend to be based on personal similarity, acceptance and sharing. Same gender friendships are most common during the early high school years.
An appeal of a state appellate court ruling can next be made to:
• A. a state trial court.
• B. the state supreme court.
• C. the U.S. Supreme Court.
• D. a U.S. Court of Appeals.
Answers
The decision of the country's highest court may then be appealing to that Supreme Court of both the U. S., but only in cases where the issue involves federal law.
Why is Supreme renowned?In particular, followers of hip-hop, surfing, and post - punk culture will find their clothing appealing. Every person who appreciates streetwear will discover the ideal item thanks to Supreme's wide range of clothing.
Why is Supreme so expensive?Rebellious and distinctive brand image! Despite giving a venture - capital group a 50% ownership in the company, Supreme has been able to keep its skater roots and fan base. To top it all off, the Supremes' emblem is distinctive, outstanding, and simple to recognize.
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state some important uses of magnet
Answers
If an object travels on a circular path is an acceleration? What is changing to cause an acceleration?
Answers
An engine draws energy from a hot reservoir with a temperature of 1250 K and exhausts energy into a cold reservoir with a temperature of 322 K. Over the course of one hour, the engine absorbs 1.37 x 105 J from the hot reservoir and exhausts 7.4 x 104 J into the cold reservoir.
1) What is the power output of this engine?
2) What is the maximum (Carnot) efficiency of a heat engine running between these two reservoirs?
3) What is the actual efficiency of this engine?
Answers
Answer:
The power output of this engine is \(P = 17.5 W\)
The the maximum (Carnot) efficiency is \(\eta_c = 0.7424\)
The actual efficiency of this engine is \(\eta _a = 0.46\)
Explanation:
From the question we are told that
The temperature of the hot reservoir is \(T_h = 1250 \ K\)
The temperature of the cold reservoir is \(T_c = 322 \ K\)
The energy absorbed from the hot reservoir is \(E_h = 1.37 *10^{5} \ J\)
The energy exhausts into cold reservoir is \(E_c = 7.4 *10^{4} J\)
The power output is mathematically represented as
\(P = \frac{W}{t}\)
Where t is the time taken which we will assume to be 1 hour = 3600 s
W is the workdone which is mathematically represented as
\(W = E_h -E_c\)
substituting values
\(W = 63000 J\)
So
\(P = \frac{63000}{3600}\)
\(P = 17.5 W\)
The Carnot efficiency is mathematically represented as
\(\eta_c = 1 - \frac{T_c}{T_h}\)
\(\eta_c = 1 - \frac{322}{1250}\)
\(\eta_c = 0.7424\)
The actual efficiency is mathematically represented as
\(\eta _a = \frac{W}{E_h}\)
substituting values
\(\eta _a = \frac{63000}{1.37*10^{5}}\)
\(\eta _a = 0.46\)
Find the direction of their vector sum
Answers
The angles and orientations of the individual vectors being added affect the direction of the vector sum.
To find the direction of the vector sum, we need to consider the individual vectors and their respective magnitudes and directions. The vector sum is determined by adding the individual vectors together.
Let's assume we have two vectors, A and B. Each vector can be represented by its magnitude and direction. The magnitude represents the length or size of the vector, while the direction indicates the orientation or angle with respect to a reference axis.
To find the vector sum, we add the corresponding components of each vector. Let's say vector A has a magnitude of 5 units and is pointing in the northeast direction, and vector B has a magnitude of 3 units and is pointing due north.
When we add these vectors, we combine their magnitudes and directions. The resulting vector sum, let's call it C, will have a magnitude equal to the sum of the magnitudes of A and B (5 + 3 = 8 units). The direction of vector C will depend on the angle between vector A and vector B.
If the angle between A and B is such that they are pointing in the same direction, the resulting vector C will also point in that direction. If the angle between A and B is different, the resulting vector C will have a direction that lies somewhere between the directions of A and B.
In summary, the direction of the vector sum is determined by the angles and orientations of the individual vectors being added.
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