The steering wheel's moment of inertia, K = - 2.69 105 J, is equal to the moment of apathy of a disc with just a shaft running through its center.
What is the purpose of steering?One of the most crucial components of a car or any vehicle, steering is utilized to move the vehicle. The steering system changes the steering wheel's revolution into a short-distance swiveling movement of the wheels, turning the steering wheel rim a considerable distance.
Calculation
I = ½ M R²
I = ½ 301 0.612²
I= 56.37 kg m²
b) Work is equal to the change in kinetic energy
W = ΔK = ½ I w² - ½ I w₀
As part of the rest the initial angular velocity is zero
W = ½ I w²
Let's reduce the angular velocity to SI units
w = 1060 rev / in (2π rad / 1rev) (1min / 60s) = 111 rad / s
W = ½ 56.37 111²
W = 3.47 10⁵ J
c) Dissipated energy is equal to work
W = ΔK
W = ½ I ² - ½ I w₀²For this case
w₀ = 111 rad / s
= 502 rav / min (2pirad / 1rev) (1min / 60s) = 52,569 rad / s
ΔK = ½ 56.37 (52,569² - 111²)
ΔK = - 2.69 10⁵ J
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if a 20.0 n brick is placed on top of the wooden block, what force will be required to keep the block and brick moving at constant velocity?
If a 20.0 n brick is placed on top of the wooden block, the force that will be required to keep the block and brick moving at constant velocity is 21N.
Given a wooden block is placed on smooth table.
Force exerted on the block (Fn) = 14N
Weight of the block (W) = 40N
The block is moving at constant velocity.
Then sliding frictional force acts on the block which is = Ff = Force exerted on the block.
Let the coefficient of sliding friction = µ
We know that force exerted Ff = Fn
µ(W) = Fn then µ = Fn/W
µ = 14/40 = 0.35
(a) Hence the coefficient of sliding friction is 0.35
(b) Again 20 N weight is added to the existing block.
Then total weight on the block (W) = -40 -20 = -60N
It acts as normal force = Fn = 60N
To keep the block and brick moving at constant velocity Force needed = Ff = µFn
Ff = 0.35 x 60 = 21N
Hence the force that will be required = 21N
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complete question: A smooth wooden block is placed on a smooth wooden tabletop. You must exert a 14.0N force to keep the 40.0N block moving at constant velocity.
a. What is the coefficient of sliding friction?
b. If a 20.0N brick is placed on the block, what force will be required to keep the block and brick moving at constant velocity?
A cat is stuck in the tree and the fire department needs a ladder to rescue the cat. The fire truck available has a 95-foot ladder, which starts 8 feet above ground. Unfortunately, the fire truck must park 75 feet away from the tree. If the cat is 60 feet up the tree, does the cat get rescued
The ladder is not long enough to reach the cat. The cat would not be rescued with the ladder available.
What does physics mean by displacement?The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. An arrow pointing from the starting point to the finishing point serves as its symbol.
What is referred to as displacement?When an atom or group of atoms in a molecule are replaced by another atom, this is referred to as a displacement reaction. For instance, copper metal is displaced when iron is added to a solution of copper sulphate.
To determine if the cat can be rescued using the 95-foot ladder, we need to calculate the reach of the ladder, which is the distance from the base of the ladder to the highest point it can reach.
The ladder starts 8 feet above ground, so the reach of the ladder is 95 feet (the length of the ladder) + 8 feet (the distance above ground) = 103 feet.
Now, we need to calculate the horizontal distance between the base of the ladder and the tree. This distance is the sum of the distance between the fire truck and the tree (75 feet) and the distance between the base of the ladder and the fire truck (8 feet).
So, the horizontal distance between the base of the ladder and the tree is 75 feet + 8 feet = 83 feet.
Now we have to check the reach of the ladder is greater than the horizontal distance between the base of the ladder and the cat and the height of the cat.
103 feet (reach of ladder) > 83 feet (horizontal distance) + 60 feet (height of cat)
103 > 143
which is not true.
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a small solid sphere is released from rest at the top of an inclined plane as shown. the sphere rolls down without slipping and reaches the bottom of the plane. how would the angular momentum of the sphere at the bottom of the plane change if the coefficient of static friction between the sphere and the plane were increased?
The angular momentum of the solid sphere would remain the same because the net torque would remain the same.
What is angular momentum?The attribute of any rotating object determined by the product of the moment of inertia and the angular velocity is known as angular momentum. It is a characteristic of rotating bodies determined by the sum of their moment of inertia and angular velocity.
What does motion's angular momentum mean?A body's rotational inertia and rotational velocity (measured in radians/sec) about a specific axis are combined to form angular momentum, which is a vector quantity (or more correctly, a pseudovector).
What does the vector form of angular momentum mean?An object's angular momentum is calculated by multiplying its moment of inertia by its rotating object's rotational velocity. A body's angular momentum has a magnitude and a direction. It is therefore a vector quantity. The letter "L" stands for it.
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A bullet traveling horizontally losses 1/20th of its velocity while penetrating a wooden plank, how many sucj planks are required to stop the bullet?
Explanation:
if it is just defined as geometric sequence
an = an-1 × 0.8
then infinitely many. that way we will never reach 0 velocity. the sequence will go on in all eternity with the next velocity being 80% of the previous velocity. and 80% of that. and so on.
it will get closer and closer to 0 but never reach it.
under normal (natural, physical) circumstances we need a stop criteria, like the minimum velocity for a bullet to penetrate such a plank.
once we have that, we can calculate (initial velocity × 0.8^n < minimum velocity) after how many planks (n) the bullet reaches that velocity. and that gives us the number.
If K.E. of an object moving with velocity 4 m/s is 72 J. Calculate mass of the object.
Answer:
m=9
Explanation:
[tex]k.E = \frac{1}{2}m {v}^{2} [/tex]
[tex]m = \frac{2k.E}{v}^{2} [/tex]
m=2(72)/(4)^2
m=144/16
m=9
what is the apparent weight of a 76 kg passenger at the highest point of the circle? express your answer in si units.
The apparent weight of the passenger is 744.8 N.
What is weight of an object?The force of gravity acting on an object is known as its weight, and it can be calculated using the formula w = mg, which equals the mass times the acceleration of gravity. The newton is the SI unit for weight because it is a force.
How to find the weight of the passenger?The apparent weight of a 76 kg passenger at the highest point of a circle is the force experienced by the passenger due to gravity and the centrifugal force acting on them.
At the highest point of the circle, the passenger is experiencing the greatest force due to the centrifugal force acting on them. This force acts away from the center of the circle and is equal to the product of the mass of the object and the square of the angular velocity of the circle (w²r) where w is the angular velocity and r is the radius of the circle.
As the apparent weight is equal to the force due to gravity minus the centrifugal force, at the highest point of the circle, the apparent weight of a 76 kg passenger would be equal to their true weight (76 kg) minus the centrifugal force acting on them.
So, to express this in SI units, the apparent weight would be in Newtons (N) and the weight of the passenger is 76 kg * 9.8 m/s^2 = 744.8 N.
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if equal masses of water and iron were exposed to the same heat source, which one would reach 100 c first
The water would reach 100°C first, as iron has a higher heat capacity than water.
This means that it takes more energy to increase the temperature of iron than it does to increase the temperature of water.
What is heat capacity?
Heat capacity is the amount of heat energy required to raise the temperature of an object by one degree.
It is measured in joules per degree Celsius (J/°C) and is a measure of the object's ability to store thermal energy.
Heat capacity is an important factor in determining the rate of temperature change of a system.
Therefore, The water would reach 100°C first, as iron has a higher heat capacity than water.
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A 5-kg object is sliding to the right and encountering a friction force that slows it down. The coefficient of friction between the object and the surface is 0.1. Determine the force of gravity, the normal force, the force of friction, the net force, and the acceleration
Answer:
Explanation:
The friction force is 4.9 N
Explanation:
Friction Force
When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration or speed because the friction force opposes motion.
The friction force when an object moves on a horizontal surface is calculated by:
Where is the coefficient of static or kinetics friction and N is the normal force.
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:
N = W = m.g
Thus, the friction force is:
The object has a mass of m=5 Kg, calculate the weight:
W = 5 * 9.8 = 49 N
It encounters a friction force that slows it down. We are given the coefficient of friction μ = 0.1, thus the friction force is:
Fr=0.1 49 N = 4.9 N
The friction force is 4.9 N
Since the only force acting on the object is the friction force, thus the net force is F = 4.9 N, and the acceleration can be calculated by using the equation of Newton's second law:
F = m.a
Solving for a:
The friction force is 4.9 N
Explanation:
Friction Force
When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration or speed because the friction force opposes motion.
The friction force when an object moves on a horizontal surface is calculated by:
Where is the coefficient of static or kinetics friction and N is the normal force.
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:
N = W = m.g
Thus, the friction force is:
The object has a mass of m=5 Kg, calculate the weight:
W = 5 * 9.8 = 49 N
It encounters a friction force that slows it down. We are given the coefficient of friction μ = 0.1, thus the friction force is:
Fr=0.1 49 N = 4.9 N
The friction force is 4.9 N
how fast must the rocky core of jupiter have developed after the sun formed in order to gravitationally attract its hydrogen and helium atmosphere before these gases were dissipated from the solar nebula by the solar wind?
It took 10 million years for the formation of rocky core of Jupiter developed after the sun formed in order to gravitationally attract its hydrogen and helium atmosphere.
How long does a rocky planet take to form?Gas giants like Jupiter grow on top of rocky cores after rocky planets with rocky surfaces like Earth do over the course of millions of years. New data, however, from NA SA's Spitzer Space Telescope points to the possibility that some gas giants could bud in less than a million years, more akin to planetary wildflowers than trees.
Why couldn't rocky planets develop in a distant solar system?As far as planetary formation is concerned, rocky planets have a tendency to form closer to the Sun because the silicates and heavier gases that make them up "fall" inwards towards the Sun.
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Find the equivalent resistance between terminals a and b Express your answer to three significant figures and include the appropriate units.
The equivalent resistance between them is 9.6 ohm.
At constant temperature, Georg Ohm discovered that the electrical current flowing through a fixed linear resistance is directly proportional to the voltage applied across it, as well as inversely proportional to the resistance. Ohms Law is based on the relationship between voltage, current, and resistance.
We can use Ohms Law to find the third missing value if we know any two values of Voltage, Current, or Resistance. Ohms Law is widely used in electronic formulas and calculations, so "understanding and accurately remembering these formulas is critical."
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According to Table 1, which of the following materials is the best electrical conductor? Brass Copper Aluminum Nichrome
The resistivity of copper is less than the other materials. Copper is the best electrical conductor. Option (2) is correct.
The resistance is given by:
R = (ρL)/A
Let's assume the value of length (L) and area(A) is the same for all the given materials.
The resistance is directly proportional to the resistivity, therefore the more the resistivity the more resistance and less the good conductor.
The resistivity of copper is 1.724 x10⁻⁸
The resistivity of brass is 7.1 x 10⁻⁸
The resistivity of aluminum is 2.65 x 10⁻⁸
The resistivity of nichrome is 150 x 10⁻⁸
Hence, the resistivity of copper is less than the other materials. Copper is the best electrical conductor. Option (2) is correct.
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a student in track and field is running a hurdles race. the hurdles are 91.4 cm tall. the student is running with a horizontal velocity of 4.00 m/s and leaps with a vertical velocity of 9.00 m/s. if the student makes this leap 0.400 m before the hurdle, will they clear the hurdle? if they clear the hurdle, how much do they clear the hurdle by? if they do not clear the hurdle, what could they do to have a higher jump?
No, they will not be able to clear the hurdle from the given distance of their leap.
What are the projectile motion?
Projectile motion includes vertical and horizontal velocity components. It's important to understand that the two are independent of each other. But what is a projectile and what is a good example. Well, a projectile is an object that is thrown by applying a force that falls under gravity and is subject to the resistance of the medium in which it travels. It can be thrown into the air and fall under the influence of gravity.
First of all the time required to reach the hurdle is:
by using horizontal velocity we have time =
t = 0.100s
Now for the vertical distance covered by student:
S = ut + gt²
S = 9 × 0.100 + 9.8 × 0.100²
S = 0.851m or 85.1cm
Since the distance calculated is less than the height of hurdles which is 91.4 cm so the student may not be able to clear the hurdle.
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a motor develops 56,000 watts of power when its shaft turns at 300 rad/s. what is the torque on the shaft? group of answer choices it depends on the shaft diameter. 187 n-m. 30 n-m. 17,000 n-m.
group of answer choices it depends on the shaft diameter. 187 n-m. 30 n-m. 17,000 n-m.
According to the problem: The torque on the shaft is 17,000 N-m.
What is torque?Torque is a measure of rotational or twisting force on an object. It is the product of a force applied to an object and the distance, or lever arm, between the point of application of the force and the axis of rotation. Torque is a vector quantity, meaning it has both magnitude and direction. Mathematically, torque is represented as the cross product of the lever arm vector and the force vector. Torque is generated when a force is applied perpendicular to the lever arm, resulting in a rotational motion. This is most commonly observed when a force is applied to a wrench or screwdriver when tightening a bolt.
This is calculated using the equation Power = (2π x Torque x Speed) / 60, where Power is in Watts,
Torque is in N-m, and Speed is in Radians per second.
Rearranging the equation gives Torque = (Power x 60) / (2π x Speed).
Substituting the given values yields Torque = (56,000 x 60) / (2π x 300), which is equal to 17,000 N-m.
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under what circumstances would a vector have components that are equal in magnitude? the vector lies at a 60 degree angle with two axes along which the component lie. the vector lies at a 45 degree angle with two axes along which the component lie. the vector lies at a 30 degree angle with two axes along which the component lie.
When a vector's components are identical in size, it means that the vector is at a 45° angle to the axis along which the components are located.
What needs to be true in order for a vector's components to have equal magnitudes?Only when two vectors share the same direction and magnitude are they regarded as being equal. Given that they share the same size and direction, the vector v and w are equivalent. Because they have opposite directions, vector v and w are still not identical.
Which one of the following comments about equal vectors is accurate?If the magnitude and direction of two vectors are the same, they are said to be equal. If they share the same original comment and are collinear, they will be initial if the same line is parallel to both vectors.
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an oscillator consists of a block of mass 0.500 kg connected to a spring. when set into oscillation with amplitude 35.0 cm, the oscillator repeats its motion every 0.500 s. find the (a) period
The period must be T = 0.500 s because the motion repeats every 0.005 s.
What is oscillation in motion?The to-and-fro movement of the body in relation to its fixed position is referred to as oscillatory motion. Periodic motion includes oscillatory motion. Strings that are vibrating or even a pendulum that is swaying are examples of oscillatory motion.
Is vibration and oscillation the same thing?Oscillations & vibrations aren't the same thing since oscillations are defined as a solid body's specific amount of displacement in relation to its travel time or distance. While The movement or alteration that oscillations in the body generate is known as vibration.
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Imagine hanging from a chin-up bar and beginning a chin-up. Which of the following velocity versus time graphs best represents the first part of your motion (from being at rest to being approximately halfway to the bar)
The graph between velocity and time, which increases exponentially, best depicts the initial phase of your motion (from being at rest to being approximately halfway to the bar).
The velocity of an item in motion is a function of time and quantifies how quickly its position modifies with respect to a frame of reference. A moving object's velocity indicates both its direction and speed of motion. When we say that something is moving, what we really mean is a change in the object's position with respect to time. Things in motion, such as a book falling off a table, water running from a faucet, rattling windows, etc., serve as examples of motion.
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what is wrong when you see the reflectors on the highway brightly shining with your regular beam headlight on?
The headlights may need to be adjusted or there may be an issue with the alignment of the vehicle.
Are the reflectors on the highway clean and free of debris?It is important to ensure that the reflectors on the highway are clean and free of debris as this can affect their ability to reflect light. If there is dirt, grime, or other debris on the reflectors, they may appear dimmer or not reflect light at all, making it harder for drivers to see them. It is important to regularly maintain and clean the reflectors to ensure they are functioning properly. This can be done by highway maintenance crews or through regular clean-up efforts by local communities. Additionally, if you see any debris on the reflectors, it's important to report it to the proper authorities.
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diagram of love shows one way to measure the volume of a irregular object which of the following measures men's
There is no scientific way to measure the volume of someone's love. Love is an emotion and cannot be measured by any scientific means.
What is volume?Volume is the measure of the amount of something. It could be the amount of space that something occupies or the amount of something that is present. It could be the amount of liquid, gas, or solid, or the amount of sound. It is an important concept in physics, mathematics, and other sciences. It can be measured in units such as cubic meters, liters, gallons, quarts, or decibels. Volume can be used to compare objects of different sizes, to measure the amount of a certain material, or to compare the relative sizes of two objects.
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the complete question is -
diagram of love shows one way to measure the volume of a irregular object which of the following measures men's
a 750 pound motorcycle is headed up a hill inclined at 15 degrees. what force is required to keep the motorcycle from rolling back down the hill when stopped at a red light
The force required to keep the motorcycle from rolling back down the hill when stopped at a red light is 260 newtons.
Calculation-To calculate this force, we can use the following equation:
friction force = friction coefficient * normal force
where,
friction coefficient = coefficient of static friction between the tires and the road surface
normal force = perpendicular force exerted on the object by the surface it is in contact with (in this case, the road surface)
The normal force can be calculated using the following equation:
normal force = weight * cos(theta)
where,
weight = 750 pounds (converted to newtons)
theta = angle of incline (15 degrees)
First, convert 750 pounds to newtons by multiplying it by 4.448
The angle of incline should be converted to radians before being used in the equation:normal force = weight * cos(15 degrees) = 337.5 * cos(0.2618) = 337.5 * 0.9659 = 325.2 newtons
Then the friction force = friction coefficient * normal force = 0.8 * 325.2 = 260 newtons
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At what speed do a bicycle and its rider, with a combined mass of 100 kg , have the same momentum as a 1400 kg car traveling at 1.6 m/s
The speed at which a bicycle and its rider, with a combined mass of 100 kg, have the same momentum as a 1400 kg car traveling at 1.6 m/s is 50.4km/hr
The momentum of a bicycle and its rider, with a combined mass of 100 kg, is equal to the momentum of a 1400 kg car traveling at 1.6 m/s.
Momentum is calculated by multiplying the mass of an object by its velocity.
Therefore, the bicycle and rider would need to be traveling at a velocity of 14 m/s
1.6 m/s × 100 kg/1400 kg=14m/s
To have the same momentum as the car. In terms of speed, 14 m/s is equal to 50.4 km/h.
Therefore, the bicycle and rider would need to be traveling at 50.4 km/h to have the same momentum as the car.
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If a wave moves from a medium with a high wave velocity to one with a low wave velocity, which of the following CANNOT change: frequency, amplitude, wavelength, velocity, direction
When a wave move from a medium with high wave velocity to one with low wave velocity, the one that do not change is frequency.
When a wave moves from one medium to another, frequency is the only thing that remains constant, because it depends solely on the source, not the medium. Every other factors changes according to the medium.
When a wave moves from high velocity medium to low velocity medium, the velocity decreases. The direction changes, and is called refraction. From a lighter medium to denser medium, the wavelength, the waves slow down and wavelength decreases. On the boundary of the mediums, some absorptions may happen. So amplitude may decrease, or remains the same, if no external energy is provided.
So the factor that remains constant irrespective of the medium is the frequency.
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If an object is rotating clockwise, this corresponds to a _____ angular velocity:
a- negative
b- positive
If an object is rotating clockwise, this corresponds to a negative angular velocity. The greater the rotation angle in a given amount of time, the greater the angular velocity. The units for angular velocity are radians per second (rad/s).
What is angular velocity?The time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.
Is angular velocity a vector quantity?Yes, angular velocity is a vector quantity and has both a magnitude and a direction. The direction is the same as the angular displacement direction from which we defined the angular velocity.
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Which of the following algorithms will allow the robot to make a single circuit around the rectangular region of black squares, finishing in the exact location and direction that it started in each of the four grids
Follow all the steps which is given below after the word solution.
What is a circuit?A closed loop in which electrons can move called a circuit. Electricity is supplied to the circuit by an electricity source, such as a battery. No electron will move till the circuit is finished, that is, it goes full circle to the electrical supply.
The solution is -
Step 1: Continue advancing one square at a time until the square directly to the robot's right is no longer black.
Step 2: Make a right turn and advance one square.
Step 3: Recurring the first and second steps three more times.
Why?
The robot begins in one of the four grids alongside a black area.
In the first step, the robot travels just past the edge of the dark area.
In step 2, the robot spins to the right and advances, positioning itself along next side of a black area.
Step 3 will involve repeating Steps 1 and 2 in order to maneuver the robot around the remaining three sides and make a full circuit of the dark area.
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The bar magnet is pushed toward the center of a wire loop. Which is true?
a) There is a counterclockwise induced current in the loop.
b) There is no induced current in the loop.
c) There is a clockwise induced current in the loop
There is a clockwise induced current in the loop. Since the bar magnet is moving towards the center of the loop, it causes a decrease in the magnetic field passing through the loop.
How does the movement of a magnet affect the induced current in a wire loop?The movement of a magnet affects the induced current in a wire loop as it causes a change in the magnetic field passing through the loop. According to Faraday's Law of Induction, a change in magnetic field induces an electromotive force (EMF) in the loop, which in turn causes an induced current to flow.
How does Lenz's Law determine the direction of induced current?Lenz's Law states that the induced current will flow in such a way as to oppose the change in magnetic field that induced it. This means that if the magnetic field passing through a wire loop is increasing, the induced current will flow in a direction that creates a magnetic field that opposes the increasing magnetic field.
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do you think that mechanical work had to be done to increase the separation of the plates? if so, how do you reconcile this with the fact that the energy stored decreased when you increased separation?
To separate the plates in a capacitor, they are charged with the opposite polarity. The stored charges on the capacitor drop as the plates separate as the capacitor's capacity to hold charges decreases.
What two kinds of mechanical job are there?Motion (kinetic energy) and stored mechanical energy are the two forms (potential energy). Our guide that describes potential and kinetic energy has further information. The amount of potential energy determines how mechanical conversion works.
Is manual labor always productive?The work is positive if an object is subjected to an applied force and moves in the same direction. If an object experiences force and then moves in the opposite direction,
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a 1,500 kg satellite is in orbit around Earth at a distance of 1 Earth radius above the surface. Earth's mass is 5.97 x 10 ^24 kg, and its radius is 6.37 x 10^6 m
Calculate the magnitude of the gravitational force acting on the satellite.
The magnitude of the gravitational force acting on the satellite is 14,720.2 N.
What is the gravitational force acting on the satellite?
The gravitational force acting on the satellite is calculated by applying Newton's law of universal gravitation as follows.
Mathematically, the formula for the Newton's law of universal gravitation is given as;
Fg = ( Gm₁m₂ ) / ( r² )
where;
G is universal gravitation constantm₁ is mass of Earthm₂ is the mass of the satelliter is the distance between themFg = ( 6.67 x 10⁻¹¹ x 5.97 x 10²⁴ x 1500 ) / ( 6.37 x 10⁶ )²
Fg = 14,720.2 N
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in the use of coal to produce energy, which does not decrease the energy efficiency of the process? * 1 point extracting the coal from the ground waste heat cogeneration energy required to build the power plant
the power efficiency of the procedure when using coal to produce energy extracting the coal again from earth gasification energy required to construct the power plant.
What kind of coal burns with the greatest amount of thermal energy released?Lignite has the minimum energy output of all coal grades and contains 25%–35% carbon. Lignite coal deposits are frequently rather recent and have not been subjected to high temperatures or pressures. Due to its high moisture content and brittle nature, lignite has a low heating value.
Which of the aforementioned Macq sources has the highest energy production?The Urban Local Organizations of the individual cities are to carry out the program. The MNRE/GOI approved the construction of Faridabad and Dwarka as Solar Cities with its sanction dated 25.6.09, at an estimated Photovoltaic solar energy in particular is gaining popularity.
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Suppose you have the equilateral triangle JKL where each side measures 5 feet with an altitude from K to JL. Which is the measure of the altitude?
The measure of the altitude of the equilateral triangle JKL is 4.33 feet
We have an equilateral triangle JKL that has a side of length 5 feet.
Now if we draw an altitude from K to J.
We can assume that the major the altitude is H.
We can assume the altitude to be perpendicular to the base.
The altitude should be by setting the base into two equal parts so we will have another triangle that will have a base of length 2.5 feet and hypotenuse of 5 feet.
Now we can simply with the Pythagoras theorem and order to find the attitude,
H² = (5)²-(2.5)²
H² = 25-6.25
H = 4.33 feet.
So, the altitude is of the magnitude 4.33 ft.
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A point charge of magnitude q is at the center of a cube with sides of length L.Part A - What is the electric flux Φ through each of the six faces of the cube? Use ϵ0 for the permittivity of free space (not the EMF symbol E0).Part B - What would be the flux Φ1 through a face of the cube if its sides were of length L1? Use ϵ0 for the permittivity of free space.
The flux from the side of each face is [tex]\frac{q}{6a}[/tex] where a is the permittivity of free space.
The amount of the electric field flowing through a specific area is known as the electric flux. The quantity of field lines travelling through a specific area can be used to calculate the electric flux. The charge contained in a surface can be used to compute the electric flux through that surface.
For, a close gaussian surface,
electric flux is equal to charge divided by permittivity of free space.
Now, in the part A, consider that a length of the sides of cube is L and for each of the face the electric flux emerging out of the cube will be divided into six parts.
The number of field lines traveling across a given area is known as the electric flux. The flux moving through any one of the cube's faces is equal to the cube's overall flux divided by six.
so flux is [tex]\frac{q}{6a}[/tex] where a is permittivity of free space.
and for part B now the length is different but as we have seen that flux depends upon length it just depend upon charge and permittivity of free space which remains same even if the length get changes.
So, flux remains same.
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to start a car engine, the car battery moves 4.05e21 electrons through the starter motor. what is the absolute value of the amount of charged moved through the battery, in coulombs
The absolute value of this charge is 6.48e1 C.
What is electrons?Electrons are subatomic particles that carry a negative electrical charge. They are found outside the nucleus of an atom and are responsible for chemical reactions, electrical conductivity, and magnetism.
The charge of an object is measured in coulombs (C). An electron, the fundamental unit of charge in the electric current, has a charge of -1.6 x 10^-19 C.
To find the total charge moved through the battery in coulombs, we can multiply the number of electrons moved by the charge of one electron:
Q = n * e
where Q is the total charge, n is the number of electrons, and e is the charge of one electron.
In this case, the number of electrons moved through the starter motor is 4.05e21. Therefore:
Q = 4.05e21 electrons * -1.6 x 10^-19 C/electron
Q = -6.48e1 C
The absolute value of this charge is -6.48e1 = 6.48e1 C.
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