A heavy truck would have larger momentum.
What does momentum depend on ?Because a body's mass and velocity affect its momentum. Additionally, a large truck would have higher momentum because its mass is greater than that of a light truck.
As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity.
The highest velocity change occurs in instance B, and momentum change relies on velocity change (as stated above). Keep in mind that each of the aforementioned collisions involved a ball rebounding off a wall. Observe that the acceleration, momentum change, and impulse increase with increasing rebound effect.
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An apartment has the dimensions 18m by 9m by 6m. The temperature is 25 degree C, and the relative humidity is 54 percent. What is the total mass (in kg) of water vapor in the air in the apartment?
Answer:
Total mass: m = 12 kg
Explanation:
Given:
a = 18 m
b = 9 m
c = 6 m
t = 25°C
φ = 54%
__________
m - ?
The volume of the apartment:
V = a·b·c = 18·9·6 = 972 m³
From the table of saturated water vapor we obtain the density:
ρ₀ = 23.0 g/m³
Air humidity formula:
φ = ρ·100% / ρ₀
Water vapor density:
ρ = φ·ρ₀ / 100% = 54% · 23.0 / 100% ≈ 12.42 g/m³
Total mass:
m = ρ·V = 12.42·972 ≈ 12 070 g or m ≈ 12 kg
Answer:
381.33 kg
Explanation:
relative humidity is 54%, it means that when saturation vapor pressure is 100 pascals, partial vapor pressure is 54 pascals [taking Pascals as no unit is mentioned]
Now, using PV = nRT
⇒ [tex]PV = \frac{w}{M}RT[/tex]
⇒ [tex]w = \frac{PVM}{RT}[/tex]
here input P = 54 Pascals, V = (18*9*6)X10^3 L, T = (25+273)°K
R = 8.314 Jmol^-1K^-1, M = mass of water in kg = 18X10^-3 kg
Based on the nasa institute for space studies climate model, observed temperature increases are best represented when it includes the influences of.
Using information from the NASA Institute for Space Studies The best representation of observed temperature increases in climate models is when orbital movements are taken into account.
solar variationshuman-made aerosolsgrowth in greenhouse gas emissionsgrowth in greenhouse gas emissionsWhat is climate model?
Since 1960, scientists have been aware that people are increasing the atmospheric concentration of chemicals that trap heat.Climate changes will worsen if greenhouse gas emissions continue. A warmer atmosphere, a warmer and more acidic ocean, higher sea levels, and more significant changes in precipitation patterns are anticipated in the future.Climate prediction models' fundamental finding is that human activity enhances global warming and boosts the average global temperature.Hence solar variations, human-made aerosols, growth in greenhouse gas emissions, growth in greenhouse gas emissions is a correct answer.
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An increase in which property would cause an electromagnetic waves energy to increase ?
Answer:
wavelength.
Explanation:
Explanation: Frequency = speed of light/wavelength. The frequency of an electromagnetic wave increases as wavelength decreases
compute the position and the focal lenght of a converging lens of which will profuce the image of a lamp magnified 4 times on a screen 10cm from the lamp
What is the momentum of an 8 kg bowling ball rolling at 2 m/s straight to the pins?
The momentum of an 8 kg bowling ball rolling at 2 m/s straight to the pins is 16 kg m/s.
What is momentum?As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. It is given by the formula:
p = mv
p = 8 × 2
p = 16 kg m/s
What is velocity?Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
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When the height of the cylinder increased by a factor of 5, from 100 m to 500 m, what happened to the cylinder's
gravitational potential energy?
O It decreased by a factor of 10.
O It decreased by a factor of 5.
O It increased by a factor of 5.
OIt increased by a factor of 10.
Option c) Increase by 5 times
The cylinder's gravitational potential energy increases 5 times
What is gravitational potential energy ?
Gravitational energy or gravitational potential energy is the potential energy that an object with mass has with respect to another object with mass due to gravity. It is the potential energy associated with the gravitational field that is released (converted into kinetic energy) as objects fall toward each other.
Objects have gravitational potential energy if they are at altitudes above (or below) zero altitude. A body has elastic potential energy if it is in a non-equilibrium position on an elastic medium.
Formula for calculating gravitational potential energy
gravity P.E = m g h
m = mass
g = gravitational acceleration = 9.81 m/s²
h = height
GPE' = new gravity P.E
m g h ' / m g h = GPE' / GPE
mg500/mg100 = GPE' / GPE
deletion mg
500/100 = GPE' / GPE
5 = GPE' / GPE
GPE' = 5GPE
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A 1 kg block is placed near the top of an inclined plane that is at an angle of 30 degrees with respect to the ground, as shown above. By
correctly determining the effect of gravity, a student predicts that the acceleration of the block will be 5 m/s². After allowing the block to
slide down the inclined plane, the student finds that the acceleration is actually 4 m/s². What type of force did the student most likely not
account for when predicting the acceleration of the block, and what is the magnitude of that force?
Option b) is correct answer. b)Force of friction is approximately 1N
What is frictional force?Friction is that force which resists the relative motion of solid surfaces, fluid layers and material elements sliding against each other.
When only gravity is considered then the force on block is written as :
F= mgsin = ma
a= gsin
=g sin30
=9.8 *1/2
=4.9 m/s²
a= 5 m/s²
When friction considered is 4 m/s² that is given,
Then frictional force is in opposite direction
It is given as, F= mgsin - F
ma =mgsin- ma friction
4= 5 - a friction
afriction = 1 m/s²
Ffriction = 1N, hence option b is correct
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a race car entering the curved part at the Daytona 500 drops its speed from 85.0m/s to 80.0 m/s in 2.0s. if the radius of the curved part of the track is 316.0 m, calculate the total acceleration of the race car at the beginning and ending of reduction of speed
A race car entering the curved part at the Daytona 500 drops its speed from 85m/s to 80m/s in 2s. If the radius of the curved part of the track is 316m, the total acceleration of the race car at the beginning is 22.86m/s² and at the ending of reduction of speed is 20.25m/s².
The car is moving in the curved part and hence possesses centripetal acceleration. It is given by the formula, a=v²/r
where, a is centripetal acceleration in m/s²
v is velocity in m/s
r is radius in metres
It is given that the velocity of the car in the beginning is 85m/s (v₁) and the velocity of the car in the ending is 80m/s (v₂).
Now, let us find out the acceleration of the car in the beginning (a₁) and in the ending (a₂).
a₁=(v₁)²/r = (85)²/316 = 22.86m/s²
a₂=(v₂)²/r = (80)²/316 = 20.25m/s²
Thus, the total acceleration of the race car at the beginning and at the ending of reduction of speed are 22.86m/s² and 20.25m/s² respectively.
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A Carnot engine performs work at the rate of 510 kW while using 930 kcal of heat per second.
a) If the temperature of the heat source is 600 ∘C , at what temperature is the waste heat exhausted?
The temperature of waste heat exhausted is 483.83 °C.
A Carnot heat engine is a heat engine that operates at the Carnot cycle. The simple version of this engine turned into evolved by Nicolas Léonard Sadi Carnot in 1824.
The Carnot engine is a theoretical thermodynamic cycle proposed by means of Leonard Carnot. It estimates the maximum possible efficiency that a heat engine all through the conversion manner of heat into work and, conversely, operating between reservoirs can possess.
calculation:-
1 kcal = 4.186 k J.
So the engine efficiency eta = 510/930 × 4.186 = 0.13305
T hot = 600 + 273.15 = 873.15 K
From the Carnot equation = (T hot-T cold) /T Hot,
so
T cold = T hot(1-eta)
= 873.15 × (1-0.13305) =756.98 K
= 756.98 K = 483.83 °C
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how to calculate final speed when the mass is 40,000kg height id 2.5km and 500,000N of force
The final speed when the mass is 40,000kg height is 2.5km and 500,000N of force is 176.8 m / s
According to Newton's second law of motion,
F = m a
F = Force
m = Mass
a = Acceleration
m = 40000 kg
F = 500000 N
a = F / m
a = 500000 / 40000
a = 12.5 m / s²
a = v / t
v = d / t
v = Velocity
t = Time
d = Distance
d = 2.5 km = 2500 m
a = d / t²
12.5 = 2500 / t²
t² = 200
t = 14.14 s
v = 2500 / 14.14
v = 176.8 m / s
Therefore, the final speed is 176.8 m / s
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4. The angle of projection at which a projectile attains the minimum range is A. 45⁰ B. 60⁰ C. 76⁰ D. 90⁰ E. None
Explanation:
Free Solutions to GR BATHLA & SONS BIOLOGY (HINGLISH) Class 12 book Chapters, Questions, Answers and Solutions 2022
A laser beam from Earth is reflected back from a mirror on the Moon in 2.60 s. If the distance between Earth and the Moon is 3.85 × 108 m, calculate the speed of light. Please show all work. (ref: p.438-446)
The speed of the light is found to be 1.48 * 10^8 m/s.
What is the speed of the light?We know that the moon is a non luminous body in the solar system. This means that the moon does not produce any light as we can see. The light that appears to come from the moon is light that has been reflected from the surface of the moon.
Now we know that;
Distance that have been covered from the moon = 3.85 × 10^8 m
Time taken to move from the moon = 2.60 s
Speed of the light = Distance/ time
= 3.85 × 10^8 m/2.60 s
= 1.48 * 10^8 m/s
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What is the momentum of rolling ball?
30kg/ms is the momentum of an 10 kg bowling ball rolling at 3 m/s.
What is momentum?As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Mass times speed equals momentum.
p = mv
where m is the mass of the object , v is the velocity of the object.
From this, we get
p = 10 kg × 3 m/s
= 30 kg m/s
What is velocity?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
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Which rule always applies when drawing a trend line for a set of data points?
The trend line always connects the first and last data points
The trend line connects all of the data points dot-to-dot
The trend line should follow the overall pattern of the data
The trend line is always a straight line
The rule that applies when drawing a trend line for a set of data points is "the trend line is always a straight line".
Option D is correct answer.
What is a trend line?
A trend line is a straight line drawn over pivot highs or under pivot lows to show the prevailing direction of price.
There are about three rules to follow when drawing a trend line and they include the following;
to draw a trend line in an up trend, two lows must be connected by a straight line. to draw a trend line in a down trend line, two highs must be connected by a straight line. a trend line should be connected by at least three highs or lows to make it valid.Thus, we can conclude that, the basic rule or constant rule that must apply to a trend line is a straight line connecting two lows or two highs for down trend and up trend respectively.
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NEED HELP ASAP
Two objects of masses and 5 are moving toward each other along the -axis with the same initial speed. They undergo an elastic collision such that is scattered to move downward after the collision, perpendicular to its initial direction.
(a) Find the final speeds of the two objects.
(b) What is the angle at which the object with mass 5 is scattered, measured with respect to its velocity prior to the collision?
The final velocity is equal to the product of the square root of two, and the initial velocity and the angle at which the object with mass 5 is scattered, are measured with respect to its velocity prior to the collision [tex]35^o[/tex].
What is Speed?Speed is a unit used to describe how quickly an object is moving. The fact that speed is a scalar denotes that it is a measurement with a magnitude but no direction.
Something that travels at a fast rate of speed and covers a lot of distance quickly. A slow-moving object, on the other hand, travels a relatively little distance in the same length of time when moving at a low pace. An item with zero speed is completely immobile.
(a) Let the initial velocity is [tex]V_1[/tex] and the final velocity is [tex]V_2[/tex], then by applying conservation of momentum, we get the formula of
[tex]V_2 = \sqrt{2} V_1[/tex]
Therefore, the final velocity is equal to the product of the square root of two, and the initial velocity.
(b) Let the θ is the angle of scattering, then,
tanθ = [tex]V_1 / \sqrt{2} V_1[/tex]
θ = [tex]tan^-1/\sqrt{2}[/tex]
θ = [tex]35^o[/tex]
Therefore, the angle at which the object with mass 5 is scattered, measured with respect to its velocity prior to the collision is [tex]35^o[/tex].
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A toy gun works by compressing a spring with a constant of 350.N/m a distance of 0.0300m. How high can it shoot a 0.0125kg toy bullet?
The height to which the toy gun can shoot a 0.0125 Kg toy bullet is 1.29 m
How to determin the heightWe'll begin by determine the energy of the spring. This can be obtained as follow:
Spring constant (K) = 350 N/mCompression (e) = 0.0300 mEnergy (E) =?E = ½Ke²
E = ½ × 350 × 0.03²
E = 175 × 0.0009
E = 0.1575 J
Finally, we shall determine the height. This is illustrated below:
Mass (m) = 0.0125 KgEnergy (E) = 0.1575 JAcceleration due to gravity (g) = 9.8 m/s² Height (h) = ?E = mgh
0.1575 = 0.0125 × 9.8 × h
0.1575 = 0.1225 × h
Divide both sides by 0.1225
h = 0.1575 / 0.1225
h = 1.29 m
Thus, the height is 1.29 m
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Imagine standing on a sandy beach on a warm, sunny day facing east. The sand and you are hot. You want to catch a cool breeze on your face.
Which way should you face?
Answer:
You should face west.
Explanation:
A copper (Young's modulus 1.1 x 1011 N/m) cylinder and a brass (Young's modulus 9.0 x 100 N/m) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.19 cm. A compressive force of F-5000 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.
Let xc for the copper cylinder, xb for the brass cylinder.
The total compression will be xc + xb
Young modulus Y of a material is given Y = FL/ADL
A = area
DL = change of length
L = original length
F = force
so here we apply the same Force for both copper and brass
so F/A = 9200/(3.14 * 0.0022* 0.0022)
F/A = 695.35 MN/m^2
For the copper cylinder:
strain = 695.35e6/(1.1e11 ) = 6.32 *10^-3
xc = strain*length = 3*6.32 e -3 = 18.96
For the brass cylinder
strain =695.35 e6/ 9.e 10 = 7.77 *10^-3
xb = 31.8
Total change in length = xb + xc = 50.76 *10^-3 cm.
The stack decreases from bottom to top when smaller items need to be removed from the stack before moving new items. Otherwise, it increases from bottom to top. For example, a mono-decreasing stack. Every time a function is called, the machine allocates stack space for that function. When a new local variable is declared, more stack space is allocated for this function to store the variable. Such allocations keep the stack low.
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which city or cites have 24 hours of daylight during the sunlight
Answer:
Abisko, Sweden
Abisko is home to the Aurora Sky Station and epicenter for aurora experiences in northern Sweden. During summer months, the sun bathes the town in up to 24 hours of sunlight per day. Between late June and mid-July, the Aurora Sky Station offers scenic chairlift rides up the mountains.
A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the kinematic properties according to whether they are constant and zero, constant and nonzero, or not constant in value.
A ball is tied to the string and whirled in a horizontal circle at a constant 4 revolutions per second. The kinematic properties linear velocity is constant and zero, radial acceleration which is a vector is constant and non-zero, angular velocity is constant and non-zero, angular acceleration which is a vector is constant and non-zero.
A ball moving in a horizontal circle is said to possess circular motion. So, the linear velocity is zero in this case. A body undergoing circular motion has both magnitude and direction at every particular point on the path. Radial acceleration is nothing but the acceleration of the object which is directed towards the centre of the circle. A ball is said to move at a constant 4 revolutions per second which is an angular velocity, a vector quantity is constant and non-zero. Angular acceleration is a vector quantity and is a constant and non-zero.
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A car is travelling at 30m/s. Suddenly, the driver sees a danger ahead and decides to do an emergency stop. The driver's reaction time is 0.6 s. Calculate how far the car travels before the driver starts pressing the brake pedal.
Answer:
Explanation:
Given:
V =30 m/s
t = 0.6 s
_________
D - ?
Distance:
D = V·t = 30·0.6 = 18 m
Answer:
The car travels 18 meters before the driver starts pressing the brake pedal.
Given:
Speed of the car = 30 m/s
Reaction time = 0.6 s
To Find:
Distance travelled by the car before the driver starts pressing the brake pedal.
Formula:
[tex] \boxed{ \rm Distance= Speed \times Time}[/tex]
By substituting the value in the formula we get:
[tex]Distance= 30 \times 0.6 \\ \\ = 18 \: m[/tex]
A rightward force of 12.0 N is applied to a 2.0-kg object to accelerate it across a horizontal
surface. The object encounters 8.0 N of friction. What is the object's acceleration?
Answer:
below
Explanation:
Net accelerating force becomes 12-8 = 4 N
F = ma
4 = 2 * a
a = 2 m/s^2
The object encounters 8.0 N of friction. The object's acceleration is 2 m/s².
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object change over time. A point or object moving straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, the motion on a circle accelerates because the direction is constantly shifting.
The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains."
Net accelerating force becomes 12 - 8 = 4 N
The formula for force is
Force = mass x acceleration
F = ma
4 = 2 x a
a = 2 m/s²
Therefore, the object's acceleration is 2 m/s².
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what are TWO macroscopic properties that should be considered when constructing a home in the desert?
Thermal Window Curtains and Insulation are the two macroscopic properties that should be considered when constructing a home in the desert.
What is meant by macroscopic properties ?The characteristics of bulk matter are the macroscopic characteristics of matter. These characteristics result from the arrangement of the elements that make up matter and the means by which the particles are bound together. Since these characteristics are visible to the unaided eye, taking measurements is simple. Pressure, volume, temperature, and other frequent examples of macroscopic attributes are provided below.The system's overall characteristics are referred to as the macroscopic attributes. Without having to analyze the system in terms of individual molecules, they may be viewed and quantified. Although the macroscopic objects we encounter on a daily basis have wave properties, their corresponding wavelengths are too small to be seen.Learn more about Macroscopic properties refer to :
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Joey is riding in an elevator which is accelerating upwards at 2.0 m/s2. The elevator weighs 300.0 kg, and Joey weighs 60.0 kg. What is the tension in the cable that pulls the elevator upwards?
A) 4200 N
B) 9800 N
C) 3700 N
D) 5200 N
4200 N is the tension in the cable that pulls the elevator upwards.
The correct option is A.
What does tension ?Tension is the force that is sent through a rope, thread, or wire whenever two opposing forces pull on it. Along the whole length of the wire, the tensile stress pulls equally on all objects at the ends. Every physical object that comes into contact with that other one exerts force on it.
Briefing:We employ the following formula to determine the cable's tension.
Formula:
T = mg+ma............ Equation 1
Where:
T is the cable's tension.
M = Mass of the elevator and the Joey
Accelerating with a
g = Gravitational acceleration
Considering the query,
Given:
m = (300+60) = 360 kg
a = 2 m/s²
g = 9.8 m/s²
Substitute these values into equation 2
T = (360×9.8)+(360×2)
T = 3528+720
T = 4248 N
T ≈ 4200 to the nearest hundred.
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Why is hygiene a valued health practice in workout facilities?
This is one method of how infectious diseases like skin infections spread. Keeping the gym clean is essential to maintaining everyone's health and safety.
Which skin illness is the worst?Necrotising fasciitis is just a severe infection of the skin, including tissue beneath the skin, and the fascia (the fibrous tissue that divides muscles and organs), which causes necrosis, or the death of tissue. If not identified and treated promptly, the infection spreads quickly, is lethal.
A skin infection: how do you treat it?Depending on the infection's origin and intensity, different treatments are available. It may take days or weeks for some viral skin infections to heal on their own. Antibiotics taken orally or administered topically to the skin are frequently used to treat bacterial infections.
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You see a flash of lightning, and then 15 seconds later you hear thunder. How far away is the lightning?.
The lightning is 3miles far away.
The distance between the lightning strike and the thunderclouds is roughly 10 miles. The presence of thunder is a sign that a storm is approaching you if you can hear it. The air temperature in the path of a lightning strike can climb to 50,000 degrees Fahrenheit.You can figure out how far away the lightning is from you since lightning strikes instantly and thunder takes around 5 seconds to travel a mile.By calculating the seconds between the lightning flash and the sound of thunder and multiplying that number by 5, it is possible to determine the distance in miles to the lightning. 0 seconds is very close, 5 seconds is one mile, and 15 seconds is 3 miles.
Hence 3miles is a correct .
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why is DE parallel to BC ?
Answer:
Given, DE is parallel to BC. From the figure, in ADE and ABC ∠ A = ∠ A (Common angle) Since, DE is parallel to BC therefore the below angles will be equal because they are corresponding angles. ⇒ ∠ D = ∠ B (Corresponding angles) and (Corresponding angles) Therefore, by AAA congruence criteria, the triangles ADE and ABC
Explanation:
The "Open" sign at your local deli flashes on and off all day long at 2.0 s intervals. The aliens spying on you from space are watching the same neon sign you are but they are moving towards Earth at a speed of 0.90c. How long is the interval flash (in s) for the aliens?
Answer:
Interval t = 0.87 s
Explanation:
Given:
t₀ = 2.0 s
V = 0.90c
_________
t - ?
Relativistic clock slowdown:
[tex]t = t_0\cdot \sqrt{1-(\frac{V}{c} )^2} \\[/tex]
[tex]t = 2\cdot\sqrt{1 - (\frac{0.90c}{c})^2 } = 2\cdot\sqrt{1 - 0,90^2}= 2\cdot\sqrt{0.19} = 0.87 s[/tex]
3.A 12V battery is in series with a 10ohm resistor ,an open switch and a 20mH inductor. a) What is the current flowing in the circuit after the switch has been closed for a long time? b) What is the value of time constant c)How much current will be flowing in the circuit after 10ms d) What is the voltage across the resistor and inductor at t=10ms e) At what rate is the current changing at this instant f)How many time constants will it take for the current to reach 99.4% to maximum value
Answer:
A. I = 12/(10 + 20mH) = 0.545 A
B. Time constant = 20mH
C. I = 0.545 * (1 - e^(-10/20mH)) = 0.49 A
D. V = 12 - IR = 12 - (0.545 * 10) = 10.91 V
E. di/dt = 12/20mH = 0.6 A/s
F. It will take 3 time constants for the current to reach 99.4% of its maximum value.
Explanation:
An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. What is the net force on the airplane?
A) 700 N
B) 900 N
C) 660 N
D) 840 N
According to the given statement 700 N is the net force on the airplane.
The correct option is A.
Why is it called net force?The total amount of pressures exerted on an object is referred to as its net force. The total of N pressures applied on an item is given in the equation below. The total force operating on an item, which could include a variety of forces, is known as the net force acting on an object.
Briefing:Airplane flight force (F1) equals 800 N
Which two forces are opposing each other
40 N of air resistance
Force of wind = 60 N
Net force is equal to
F1 - 40 - 60 = 800 - 100 = 700 N.
The airplane will be subject to a net force of 700 N.
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