To find the acceleration, angular momentum, torque, and angle of an object subject to a force and moving towards the origin, we need to know the velocity and force vectors of the object.
(a) the acceleration of the objectThe acceleration of the object can be found by taking the derivative of the velocity vector with respect to time. If the object is moving towards the origin, the acceleration vector would be in the opposite direction of the velocity vector.
(b) the angular momentum of the object about the originThe angular momentum of the object about the origin can be found by taking the cross product of the position vector of the object and its velocity vector. The angular momentum is a vector quantity that is perpendicular to both the position and velocity vectors.
(c) the torque about the origin acting on the object(c) The torque about the origin acting on the object can be found by taking the cross product of the position vector of the object and the force vector acting on it. The torque is a vector quantity that is perpendicular to both the position and force vectors.
(d) the angle between the velocity of the object and the force acting on the object.The angle between the velocity of the object and the force acting on it can be found by taking the dot product of the velocity and force vectors and dividing by the magnitudes of both vectors. The angle between the two vectors is measured in radians and can be used to determine how much the force is affecting the velocity of the object.
It's important to note that all these calculations are vector calculations and they are all performed in three-dimensional space and require knowledge of vector calculus and physics.
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If we have an unmarked magnet, how can we tell which end is the north pole of the magnet? a. Hold it near a compass and the north end of the compass points at the north end of the magnet. b. Hold it near a compass and the north end of the compass points at the south end of the magnet. c. Suspend it from a string and the end that points toward the geographic north pole (Santa's workshop) is the north end. d. Hold it near a piece of steel and the end that attracts the steel is the north end. e. The end that is attracted to the south end of a known magnet is the north end. f. The end that is attracted to the north end of a known magnet is the north end.
If we have an unmarked magnet, hold it near a piece of steel and the end that attracts the steel is the north end.
What is the magnet?
A magnet is an object made of certain materials that produces a magnetic field. This field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, and attracts or repels other magnets. Magnets are widely used throughout the world in a variety of applications, from the simple refrigerator magnet to the most advanced technologies such as MRI machines. Magnets come in many shapes and sizes and can be natural or artificial. The magnetic field of a magnet is caused by the motion of electric charges and is measured in guess.
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How can Accenture's sustainable software engineering help meet sustainability?
Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.
by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.
Accenture can assist its clients in becoming more sustainable by using mynav to locate, assess, architect, and simulate an end-to-end solution at scale.
reduces the expense of transportation
creates a design that is appropriate and aids the customer in becoming more sustainable.
establishes sustainable guidelines for disposing of outdated technology.
Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers. through promoting the development of cloud technologies that cut down on carbon emissions
by reconfiguring factories so that carbon emissions may be easily measured
by implementing creative business techniques to reduce the cost of transportation
by creating new regulations for removing outdated technologies.
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Select True or False: The mass of a nucleus is always less than the sum of the masses of the nucleons.
It is untrue to say that a nucleus's mass is always smaller than the total mass of its nucleons.
Why is nucleus mass lower than nucleon mass?The nucleons near the edge of their masses give binding energy to maintain the nucleons inside the nucleus.
Why is a nucleus' mass always smaller than the total?The protons and neutrons move in closer together to a distance of 10–14 m during the creation of a nucleus. The mass of the nucleons is sacrificed in order to spend the energy needed for the task.
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What measure do we use to determine the amount of potential energy in a battery?
The amount of energy stored in a battery is measured in watt-hours (Wh), kilowatt-hours (kWh), or ampere-hours (Ah) (Ahr).
What is the potential energy means?Potential energy is stored energy that is affected by the relative position of various components of a system. When a spring is squeezed or extended, its potential energy increases. A steel ball has higher potential energy when lifted above ground than when it falls to Earth.
What is the potential energy means?Because every item moved from its resting posture has stored energy, it is referred to as potential energy because it has the ability to accomplish work when released.
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An electric cord can be stretched to its elastic limit by a load of 3N. If a 350cm length of the cord is extended by a force of 0.5N, what will be the length of the cord when the stretching force is 2.5N?
Answer:
359cm
Explanation:
The change in length of the cord due to a stretching force of 0.5N is given by Hooke's law:
ΔL = k * ΔF
Where ΔL is the change in length, k is the spring constant and ΔF is the change in force.
Since the spring constant for the cord is 3N/cm, the change in length due to a stretching force of 0.5N is:
ΔL = (3N/cm) * (0.5N) = 1.5 cm
Since the cord is already 350cm long, the total length of the cord when the stretching force is 0.5N is 350cm + 1.5cm = 351.5cm.
To find the length of the cord when the stretching force is 2.5N, we can use the same formula:
ΔL = (3N/cm) * (2.5N) = 7.5 cm
The total length of the cord when the stretching force is 2.5N is therefore 351.5cm + 7.5cm = 359cm.
It is known that a damped oscillator has a maximum displacment that is 13.5% of the original amplitude after 0.60 s. What is the value of the time constant
The value of the time constant is = 0.2996 s. Due to the fluid's dampening effect, the oscillations' amplitudes reduce. ma=−bv−kx.
How long does it take for the damped oscillations' amplitude to decrease to half of what it was initially?Its amplitude decreases by half after every ten oscillations. Find the starting time at which the amplitude becomes 11000 times as large as it was initially: Q. A damped harmonic oscillator's displacement is determined by the equation x(t)=e01.
How do amplitude and oscillation relate to one another?In an oscillating system, the amplitude is the amount by which the oscillating variable changes with each oscillation. For instance, sound waves in the air oscillate the atmospheric pressure, and the amplitude of each oscillation is proportional to the variation in the pressure.
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The volume of the balloon is
14 000 cm³
The density of the helium in the balloon is 0.180 kg/m³
Calculate the mass of helium in the balloon
1 cm³ = 1 x 10-6 m³
The balloon's helium has a mass of 2.52 KG.
The definition of density.The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometers or miles is known as its population density.
Simply put, what is density?The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density.
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Which of the following is an important starting assumption in models of galaxy formation?
A) Galaxies form first, then black holes.
B) All galaxies start out as spiral galaxies.
C) Black holes form first, seeding the formation of galaxies.
D) Some regions in the universe start out denser than others.
The assumption which is important in models of galaxy formation is Some regions in the universe start out denser than others. Option (D) is correct.
Models of galaxy formation begin with the premise that the universe was initially mostly uniformly filled with hydrogen and helium gas, with some regions of this gas being slightly denser than others.
The nucleus, a central bulge, a disc, spiral arms, and a large halo are the four main structural divisions of this structure. Some of the elements combine with one and other. A small portion of the galaxy, the galactic core is located about 400 light-years from the Milky Way's centre. Massive gas clouds which collapse and rotate are the initial point for galaxies. Stars develop within them as they develop. The collision of entire galaxies can change their appearance. When we look far into space, we can observe galaxies in their infancy.
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Two negative charges of -3x10-6C exert a repulsive force of 2Non each other. By what distance are they separated?
The distance between two negative charges experiencing a force of 2 N is: 4.44 x 10^-3 m
According to Coulomb's Law, the magnitude of the electric force between two negative charges is given by:
F = k * q1 * q2 / r^2
where k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), q1 and q2 are the charges, and r is the distance between them.
Plugging in the given values, we get:
2N = 8.99 x 10^9 N m^2/C^2 * (-3 x 10^-6 C)^2 / r^2
Solving for r, we get:
r = sqrt(8.99 x 10^9 N m^2/C^2 * (-3 x 10^-6 C)^2 / 2N)
r = 4.44 x 10^-3 m
Coulomb's Law states that the magnitude of the electric force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. The constant of proportionality is known as the Coulomb constant (k). Therefore, the equation for the magnitude of the electric force is given by F = k * q1 * q2 / r^2, where k is the Coulomb constant, q1 and q2 are the charges, and r is the distance between them.
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A car is traveling $$ m/s when the gas pedal is released and the brakes are gradually applied, resulting in an acceleration given by the function $$ m/s^2. What is the distance traveled before the car comes to a stop?
The distance traveled before the car comes to a stop is 66.66 m. It's important to note that the negative sign on acceleration indicates that the car is slowing down.
Calculation-To find the distance traveled before the car comes to a stop, we can use the formula for distance traveled under constant acceleration. The formula is:
Distance = initial velocity * time + (1/2) * acceleration * time^2
The car is traveling at an initial velocity of 20 m/s and the acceleration is given by the function -6.0t, where t is the time in seconds.
We can find the time it takes for the car to come to a stop by setting the final velocity to 0 and solving for t.
0 = 20 + (-6.0)t
t = 20/6
t = 3.333 s
Now that we have the time, we can substitute it back into the distance formula along with the initial velocity and acceleration:
Distance = 20 * 3.333 + (1/2) * -6.0 * (3.333)^2
Distance = 66.66 m
How much further will the automobile go before stopping?The reaction distance for a vehicle traveling at 60 mph on the highway is 312 feet, and the reaction distance for a vehicle traveling at 80 mph is 496 feet. Simply put, at current speeds, doubling the car's speed will result in a three-fold increase in stopping distance.
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A spring gains 2.34 joules of elastic potential energy as it is compressed 0.250 meter from its equilibrium position. What is the spring constant of this spring
According to the given information the spring constant is 74.9 J N/m
What are Joules Joules?joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.
What does Joules sell?Established in the British countryside by Tom Joule in 1989, Joules is a true premium lifestyle brand with an authentic heritage. Now a truly multi-channel business, Joules designs and sells clothing, footwear, accessories, homeware, gifting and lifestyle product collections for all the family.
= PEs = 16kx² 234)
= 1/2k(25mm)² K
= 74.9 J N/m
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A car slows down at -5.00m/s^2 until it comes to a stop after traveling 15.0m. What was the initial speed of the car?
The steady deceleration of a car traveling at 15 m/s starts. After ten seconds, it abruptly ends. starting speed of the vehicle
What is the physics of speed?When subtracting the distance even by travel time, speed is calculated. The distance and time information must be understood in order to calculate the pace units. The measurements in the this case will be performed in meters per second (m/s), as the length was measured in meters and the time is stated in minutes (s).
What connection exists between speed and velocity?Velocity is the rate and direction of an object's motion, whereas speed is the rate at which an object moves along a path over time. In other words, whereas speed is in fact a scalar value, velocity is a vector.
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What measuring device should you use to determine that the internal potential energy of a substance has changed?
A calorimeter is a device which is used to measure and define the internal energy of a system.
A calorimeter is a device used to measure the heat of chemical processes or physical changes, as well as heat capacity. Among the most frequent varieties are differential scanning calorimeters, isothermal micro calorimeters, titration calorimeters, and accelerated rate calorimeters.
A basic calorimeter is just a thermometer attached to a metal container filled with water that is suspended above a combustion chamber. It is a type of measuring instrument used in the study of thermodynamics, chemistry, and biochemistry.
To calculate the enthalpy change per mole of substance A in a reaction involving two compounds A and B, the substances are individually introduced to a calorimeter and the beginning and final temperatures (before and after the reaction) are recorded.
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Blocks A and B of masses M and 3M, respectively, are on a horizontal surface of negligible friction. A horizontal force FA is exerted on block A, as shown. If the force exerted by block B on block A has a magnitude F, the magnitude of FA is
a. 1/4 F
b. 3/4 F
c. F
d. 4/3 F
e. 4F
If there is no friction and block B pushes block A with a force of magnitude F, therefore FA will also have a magnitude F, according to Newton's third law of motion.
Newton's Third Law.According to Newton's third law, each force (action) in nature has an opposite and equal response. Whenever object B pulls on object A, item A pulls back on item B with an equal and opposing force.
Given :
Mass of Block A = M
Mass of Block B = 3M
Force exerted on block A is FA
Because both boxes are in contact.
Hence, force exerted by block A on block B is same that is FA
Force exerted by block B on block A has magnitude F (Given)
From Newton's third law of motion, the magnitude of FA is F Newton.
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Electromagnetic radiation is a kind of (1) ____________________ that behaves like a(n) (2) ___________________ as it travels through space. (3) __________________ is one type of electromagnetic radiation. Other examples include X-rays, radio waves, and microwaves.
A type of (1) energy known as electromagnetic radiation acts in space like a(n) (2) wave. (3) One kind of electromagnetic radiation is light. Microwaves, radio waves, and X-rays are some further examples.
What does electromagnetic radiation refer to?radiation with a magnetic and electrical field that moves in waves .It derives from both organic and artificial sources. The energy levels of electromagnetic radiation might be low or high. It is made up of radio waves, microwaves, infrared photons, visible light, uv irradiation, x-rays, and gamma rays.
From top to bottom energy, the components of the visible radiation are refer to as gamma radiation, X-rays, Uv rays, photons, infrared rays, and radio waves. Microwave waves, like those used in microwave ovens, are a subset of the electromagnetic spectrum's radio wave category.
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A full stop means that there is a complete cessation of the forward movement of the vehicle, or _________ with no forward motion.
A full stop means that there is a complete cessation of the forward movement of the vehicle, or stop with no forward motion.
If two or more automobiles arrive at a four-way stop at the same time, the car to the right shall proceed first. "If two or more automobiles arrive at a four-way stop at the same moment, the car on the right shall proceed first."
Your headlights will allow you to see roughly 400 feet ahead of you. You should travel at a speed that permits you to stop within this distance, which is around 50 miles per hour.
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in an experiment to determine the refractive index of water a black line is cleaned it on the bottom of a tall glass container, which then partially filled with water. On looking vertically down into the water the black line appears to be closer that it really is
It is true that on looking vertically down into the water the black line appears to be closer that it really is.
What is refractive index?A material's refractive index, which is quantified, indicates how much a light path is bent or refracted when it penetrates that material.
The critical angle for total internal reflection and the amount of light that is reflected when it reaches the contact are both determined by the index of refraction.
Due to the refraction of light rays as they pass through water and into the air, an item seen in the water typically appears to be deeper than it actually is.
Since the angle subtended by the object is greater, it "appears" larger because the light's refraction away from the normal changes the angle at which the light appears at the eye.
Thus, the given scenario is true.
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someone help!!
What is speed? the distance an object will move the ability of an object to move the measure of force required to move something the time it takes an object to go a cert
Answer:
Speed is the measure of how fast something moves
Explanation:
What constant acceleration is required to increase the speed of a car from 23 mi/h to 53 mi/h in 4 seconds
The continuous acceleration needed to raise a car's speed from 23 mph to 53 mph in four seconds is
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. Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
starting speed is 23 m/h, or 0.0063 m/s.
ultimate speed is 53 m/h, or 0.0147 m/s.
(Final velocity - Initial velocity) / Time = acceleration
= (0.0147 - 0.0063) / 4
= 0.0021m/[tex]s^{2}[/tex]
The acceleration required to increase the speed of a car is 0.0021m/[tex]s^{2}[/tex]
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How is coal extracted from mountaintop removal mines? (site 2)
Coal is extracted from mountain top by removal of top soil and the use of explosives.
What is a coal?A coal is definitely as the solid substance that is made up of mainly carbon and other constituent elements such as hydrogen, sulfur, oxygen, and nitrogen.
The uses of coal include the following:
cement production, carbon fibers and foams, medicines, tars, synthetic petroleum-based fuels, and home and commercial heating.To extract coal from the mountain top the following is carried out:
The top soil of the area involved us being removed and
Explosives are then used to expose the underlying coal seams.
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ANSWER NOW 100 POINTS!!
Allen rides his bike at a constant speed around a circular track. If the radius of the track is 45.0 m and Allen's centripetal acceleration is 5.0 m/s2, what is his tangential speed?
Answer:
a = v2/r, for an object moving with a constant speed, v, around a circle of radius, r. We will also verify that the direction of the acceleration vector is toward the center of the circle.
substitute your numbers into the formula
5.0 = v2/45.0
then cross multiply to get your final answer
The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 15 kg/cm2 when its volume is 300 cm3 . Which equation can be used to find the pressure of the gas when the volume is changed
Answer:
P V = N R T is the universal gas equation
If only pressure and volume are considered (the other factors are constant)
P1 V1 = P2 V2
So P2 = (V1 / V2) * P1
This is also known as Boyle's Law:
P V = constant
Is torque R * F or F * R?
Answer:
R*F
Explanation:
Which of the following is true?
O Two objects with the same speed always have the same velocity.
O The velocity of an object can change even if the speed of the object remains constant.
O Velocity describes how fast an object is changing speed.
O Velocity is independent of direction.
The velocity of an object can change even if the speed of the object remains constant.
How are starting and final velocities calculated?Initial velocity (u) squared plus two times the acceleration (a) times the displacement equals final velocity (v) squared (s). Final velocity (v) is equal to the square root of initial velocity (u) squared plus two times the acceleration (a) times displacement when v is the variable being solved for (s).
What distinguishes initial from final?In physics, an object's initial position is its starting point for motion, and its final position is where it comes to rest.
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Questions and problems 1) Why at the maximum height, the acceleration of projected object does not equal to zero? 2) What is meant by freely fall acceleration is equal to 9.8m/s²? 3) Describe the characteristics of uniform motion 4) Define these terms. a) distance 5) Explain the difference between distance and displacement. b) displacement d) speed d) velocity e) motion f) rest 6) Distinguish between average speed and instantaneous speed. 7) Give reason when an object falls freely from rest increases its velocity. 8) A car has covered a distance of 600 km in 10 hours. What is its average speed? 9) A body moves at speed of 180 km/h. Calculate the distance it covers in a minute. 10) Calculate the average velocity in km/h for an athlete who covered a distance of 4000 m in 30 minutes.
When an item is projected vertically upward, its velocity is assumed to be zero at its highest point, yet it still experiences acceleration from the gravity of 9.8 m/s^2.
What is meant by freely fall acceleration being equal to 9.8m/s²?This means that anything that is drawn toward the center of the earth has a 9.8-meter acceleration per second as it "falls" to the earth. As a result, each second that such a body is dragged towards the earth, its velocity (the speed with direction) increases by around 9.8 meters per second.
Describe the characteristics of uniform motion.The velocity is constant in uniform motion. In terms of time, neither its magnitude nor its direction change.
Explain the difference between distance and displacement.Distance is the length of any path connecting any two places. When measured along the shortest path between any two points, displacement is the direct distance between them. The direction is ignored when calculating distance. The direction is accounted for in the displacement calculation.
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From the viewpoint of an alien astronomer, how does Jupiter affect observations of our Sun?
a) It causes the Sun to move in a small ellipse with an orbital period of about 12 years.
b) It makes the Sun periodically get somewhat brighter.
c) It makes the Sun appear dimmer when viewed with infrared light.
d) It causes the Sun to move in a small ellipse in the sky, with the same ellipse repeated every night.
Jupiter affect observations of the Sun, from the viewpoint of an alien astronomer, by causing the Sun to move in a small ellipse with an orbital period of about twelve years. The correct option is option a.
Being the fifth closer planet to our Sun, Jupiter is the biggest planet in our Solar System. Jupiter is one of the gas giants in the Solar System.
From the Sun, Jupiter's average distance is about 480 million miles, and it takes nearly twelve years for Jupiter to make one revolution. Jupiter has a ring, albeit flat and small, like the rest of the gas giants. Jupiter's rotation is the fastest of all planets in the Solar System, rotating once on its axis every ten hours.
From the viewpoint of an alien astronomer outside our Solar System, the Sun will look as if it orbits Jupiter and takes 12 years to complete a revolution. Planets in general have orbits that are elliptical.
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At an outdoor physies demonstration, a delay of 0.50 second was observed between the time sound waves left a loudspeaker and the time these sound waves reached a student through the air. If the air is at STP, how far was the student from the speaker? (1) 1.5 × 10-m (91.7 × 102 m (3) 6.6 × 10? m (4) 1.5 × 108 m
The distance that is covered by the sound is 1.66 * 10^2 m.
What is the distance?We know that sound is a mechanical wave. The implication of this is that sound woulod need to have a medium through which the sound can be able to travel. The speed of sound in the various media through which the sound travels is not the same.
We know that the speed of sound in air is 331 m/s and we have to use this in our calculations.
Distance = speed * time
Distance = 331 m/s * 0.5 s
= 1.66 * 10^2 m
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What is the work applied to a 1000kg car when it is pushed 1000m up along a 10- degree incline at a constant velocity. Assume the coefficient of friction between the car and the ramp is 0.30.
The required work applied to a 1000 kg car when it is pushed 1000 m up along a 10- degree incline at a constant velocity is calculated to be 4.6 × 10⁶ J.
Given that,
Mass m = 1000 kg
Displacement d = Δx = 1000 m
Angle of inclination θ = 10°
Coefficient of friction μ = 0.3
The equation for work done is known to be,
W = F × d
We must divide the force of gravity into its component parts and examine the side acting in the x-direction in order to calculate the force of gravity in that direction.
F gx direction = F g sinθ = mg sinθ
The force of friction is directly related to μ times the normal force. The normal force in this situation is equivalent to the y component of the force of gravity.
F gy direction = F g cosθ = mg cosθ
We know force of friction, Ff = μ FN
FN = F gy direction
Ff = μ mg cosθ
We know that our force applied must balance both of these forces,
F applied = mg sinθ + μ mg cosθ
As, W = F × d = (mg sinθ + μ mg cosθ) d = ( 1000× 9.8 sin10° + 0.3 × 1000× 9.8 cos10°) 1000 = (9800 sin10° + 2940 cos10°) 1000 = (0.17 × 9800 + 0.985 × 2940) 1000 = (1666 + 2895.9) 1000 = 4561.9 × 10³ J = 4.6 × 10⁶ J
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A magnetic field of magnitude 0.37 T0.37 T is directed vertically upward.
(a) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is vertical.
(b) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is horizontal.
(c) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is at angle of 64∘64∘ with the horizontal.
The equation represents the force on a wire in a magnetic field (B) that is length L and carrying current I. where θ is the angle created by the magnetic field and the wire, and F=ILBsin.
What is magnetic flux, exactly?The number of total of magnetic field line that travel through a specific closed surface is known as the magnetic flux. It provides a method to calculate the overall magnetic field which passes across a particular surface area.
What is the magnetic flux unit?Magnetic flux is measured in SI units by the Weber (Wb). Tesla is equal to one Weber per sq meter of flux density (T). Numerous additional units are routinely used to express the Weber unit.
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Decribe the motion of a body following under gravity and write the related equation
It states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, or F = ma.
What is the body's equation of motion?The fundamental equation of motion in classical mechanics is F = ma.
Since gravity affects an object's vertical motion, while it moves, it is said to be in motion under gravity.
The force that pushes objects downward is called gravity. In reality, gravity draws things toward the centre of the Earth. Homogeneous acceleration is experienced by a body in free fall.
Motion. It is said that the body is moving at an accelerated rate. Therefore, if a body falls freely while being affected by gravity, its velocity will begin to increase at a rate of 9.8 m/s2.
When a body falls freely under the effect of gravity alone in a vacuum, potential energy continuously decreases and kinetic energy continuously increases; as a result, the conservative force acts on the body.
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