Answer:
Below
Explanation:
Usually, position is given by x(t) =.......
if x^2 = 3t^2 - 16t+ 8 then
x = ( 3t^2 - 16t + 8)^1/2 ( I do not think this is what you want....but it IS what was posted)
Velocity will be given by the derivative : (3t-8) / ( 3t^2-16t+ 8)^1/2
at t = 4 this equals an imaginary number....
so I think your question equation is incorrect
The answer above this one used x(t) = 3t^2-16t+8 as the position function and is likely the correct way to do it
then velocity = dx/dt = 6t-16 at t = 4 this is 8
the particle is stationary when this = 0 at t = 16/6 = 2.67 s (NOT 4s as posted in the other 'verified' answer !!!!!)
Acceleration = dv/dt = 6
at t= 4 the velocity would be 8 units/s
and the accel would be 6 units/s^2
and when v= 0 would occur at t = 2.67 s
Newton's first law of motion is known as
a) mass and acceleration
c) electrical force
b) inertia c) action and reaction
d) tension force
d) momentum
An official major league baseball has a mass of 0. 14 kg. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s.
-12.04 kg m/s is the change in momentum of the ball during the collision with the bat.
What is momentum and how is it calculated?An object with mass m with velocity v has momentum p, which is defined by the equation p = mv. Keep in mind that inertia is a vector of both magnitude and direction, just like velocity. The momentum of such an object increases together with its mass or speed.
Briefing:A ball weighs m = 0.14 kg.
The ball's initial speed is 40 m/s.
The ball's final velocity was -46 m/s.
(a) The following equation describes how the ball's momentum changes when it collides with the bat:
AP = m (v- u)
= 0.14 (-46-40)
= -12.04 kg m/s
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The complete question is -
An official major league baseball has a mass of 0.14 kg. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s.
a) What is the change in momentum of the ball during the collision with the bat?
What is the magnitude of force C
The magnitude of a force is the amount that captures its power.The direction is indicated by towards, while the force is indicated by “10.” Magnitude can be thought of as simply the “value” or “amount” of any physical quantity.
What magnitude of force is affected?The total amount of forces exerted on an item is referred to as the magnitude of force in physics. The strength of the force increases when all the forces are pulling in the same direction. When forces are exerted on an item from different angles, the force's strength reduces.
Therefore, consider the scenario the magnitude of force is 200 N .
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Michael uses his bike to apply 452 N to himself and the bike by pedaling as he approaches a 1.9 m tall ramp which is 5.0 m away. He starts from rest to accomplish this feat. How fast will he be moving just before he hits the ramp? (Mike and the bike have a combined mass of 151 kg)
The final velocity of Michael and his bike before he hits the ramp is 5.47 m/s.
What is the acceleration of Michael and his bike?The acceleration of Michael and his bike is calculated by applying Newton's second law of motion as follows;
F = ma
a = F/m
where;
F is the applied forcem is the massa = 452 / 151
a = 2.99 m/s²
The final velocity of Michael and his bike before he hits the ramp is calculated as follows;
v² = u + 2as
where;
u is initial velocity = 0s is the distance travelled = 5 mv² = 0 + 2(2.99)(5)
v² = 29.9
v = √29.9
v = 5.47 m/s
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A hollow plastic ball is projected into the air.
There is significant air resistance opposing the
ball's motion, so the magnitude of the ball's
acceleration is not equal to g. At time t, the ball is
moving up and to the right at an angle of 45° to
the horizontal, as shown above. Which of the
following best shows the magnitude a and the
direction of the ball's acceleration at time/?
Answer:
add the components
Explanation:
Add moving 45%
The ball is moving down with an acceleration a which is less than the acceleration due to gravity g due to the air resistance. Hence, its path is not straight as well. Thus, option A is correct.
What is acceleration ?Acceleration is a physical quantity measuring the rate of change in velocity. Acceleration, like velocity is a vector quantity. It have both magnitude and direction.
For a free falling body, the acceleration of the object by the gravitational force is called the acceleration due to gravity g. Acceleration due to gravity of earth is 9.8 m/s².
Here, the ball is moving down through air, with which air resistance significantly affect the speed. Hence, free falling body will deviates from its direction and acceleration will be smaller than g. Therefore, the correct diagram showing the falling of the ball is option A.
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Visible light is which type of wave?
Answer:
Visible light waves are a form of electromagnetic radio waves such as infrared radiation, X-rays, microwaves, and ultraviolet radiation.
Who isn’t all white light or even yellow light the same?
Answer:
It’s different.
Explanation:
When you turn on a light in your home, it probably emits either a white or yellowish glow. The white color refers to cool lighting, while warm lighting is characterized by a softer yellow hue.
What are the major groups of the periodic table?
Metals, nonmetals, and metalloids are the Periodic Table's three main groups.
What do periodic tables tell us?Scientists easily look up information about an element, such as its atomic mass and chemical symbol, using the periodic table. This design of the atomic numbers allows scientists to spot patterns in elemental characteristics like electronegativity, ionization energy, and atomic radius.
Why is it called periodic?It is called the periodic table because of the elements' systematic arrangement. You'll see that they are arranged in columns and rows. The vertical columns that go from top to bottom and the horizontal rows that travel from left to right are referred to as Periods and Groups, respectively.
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During a football game, a 75 kg fullback moving right with a speed of 10 m/s collides head-on with a 100 kg lineman moving
left with a speed of 4 m/s. The two players collide and stick together, determine the velocity of the two players after the collision.
To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted on by an external force. In this case, the initial momentum of the fullback before the collision is 75 kg * 10 m/s = 750 kgm/s, and the initial momentum of the lineman before the collision is 100 kg * -4 m/s = -400 kgm/s (since he is moving in the opposite direction). After the collision, the two players stick together and move with a combined mass of 75 kg + 100 kg = 175 kg. Since the total momentum of the system must remain constant, the combined velocity of the two players after the collision must be equal to the total initial momentum of the fullback and lineman before the collision, or 750 kgm/s - 400 kgm/s = 350 kg*m/s.
Therefore, the combined velocity of the two players after the collision is 350 kg*m/s / 175 kg = 2 m/s. This is the speed at which the two players move after the collision. Note that this is much slower than the initial speeds of either player before the collision, which is expected since the combined mass of the two players is greater than the mass of either player alone, and the momentum of the system must be conserved.
when the displacement in shm is one-fifth the amplitude xm, what fraction of the total energy is kinetic energy?
The displacement in SHM is 1/5 of amplitude, and the fraction of total kinetic energy is Ek = 24/25.
What is SHM?
Simple harmonic motion is described as the periodic motion of a point along a straight line with an acceleration that is always toward a fixed point in that line and a distance from that point that is proportional to that acceleration.
Calculations:
Let’s derive the equations needed from the first principle. For SHM with amplitude A and angular speed ω the displacement is:
s=Asin(ωt) ------------ (1)
Differentiate the displacement to get the velocity:
v=s′=Aωcos(ωt)
So for a mass m, the kinetic energy is:
Ek = 1/2mv²
Ek = 1/2m ×(Aωcos(ωt) )² --------------------- (2)
At time t= 0 the displacement s= 0 and so all the energy is kinetic. Therefore the total energy is:
E (total) = 1/2m ×( Aωcos(0) )²
E (total) = 1/2m × (Aω)² ------------------ (3)
Comparing (2) and (3) we can rewrite the kinetic energy in terms of the total energy:
Ek = E (total) cos²(ωt)
Using the identity cos² (x) + sin² (x) = 1, we can rewrite this equation as:
Ek = Etotal (1−sin²) .(ωt)) ---------------------(4)
We also know that the potential energy U = E(total) − Ek, so:
U = E (total) − E (total) (1−sin²(ωt) )
U = E (total) sin²(ωt) -------------------------(5)
Now in this question, we’re given that s = 1/5 A, so from our displacement formula (1) we have:
s= Asin (ωt) = 1/5A
Inserting this in equation (4) we have for the kinetic energy:
Ek = E (total)(1 − (1/5)²)
Ek = 24/25 (E (total) )
Hence, the displacement in SHM is 1/5 of the amplitude, and the fraction of total kinetic energy is Ek = 24/25.
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These two images show pairs of oppositely charged plates that create uniform electric fields. The strength of the field on the right is twice as strong as that of the field on the left. In the field on the left, a positive charge changes position as shown. In the field on the right, a negative charge that has twice the magnitude of the positive charge is placed midway between the plates.
Two drawings with horizontal parallel plates. The top plates are positive and the bottom plates are negative. The distance between the plates are 0.1 m. On the left drawing there is a positive charge 0.04 m from the negative plate and a second positive charge a distance 0.08 m above the negative plate. There is a vector pointing from the bottom positive charge to the top positive charge. The drawing on the right has a charge of negative 2 q a distance of 0.05 m away from the negative plate.
How can the negative charge be moved in order to cause both charges to have the same change in electric potential energy?
It can be moved 0.04 m toward the positive plate.
It can be moved 0.04 m toward the negative plate.
It can be moved 0.01 m toward the positive plate.
It can be moved 0.01 m toward the negative plate
In order for the negative charge to be moved in order to cause both charges to have the same change in electric potential energy, It can be moved 0.01 m toward the negative plate.
The last option is correct
What is electric potential energy?Electric potential energy is described as a potential energy that results from conservative Coulomb forces and is associated with the configuration of a particular set of point charges within a defined system.
In basic electricity, it is usually more convenient to use the electric potential energy per unit charge which is called electric potential or voltage.
This brings about the law of electrostatic attraction and repulsion, or Coulomb's Law which describes the force exerted on a charged object due to the presence of another charged object.
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list and describe in detail the four stages of planetary development. describe how theses stages are/were different on mercury and on earth?
Differentiation, Cratering, Flooding, and Surface Evolution are the four separate stages of development that a newly created terrestrial planet, like the Earth or Venus, goes through.
What qualifies as planetary?It must orbit about a galaxy (in our cosmic neighborhood, the Sun). It must be large enough for gravity to pull it in a spherical direction. It must have been large enough that any nearby things of a comparable size were removed by its gravitational pull.
Earth is it a planet?Earth is just a rocky, earthly planet and is home to us. There are volcanoes, valleys, canyons, plains, and much more on its stable and dynamic surface. Being an ocean planet, Earth is unique. The Earth's surface is 70% covered by water.
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if the earth rotated slower about its axis, your apparent weight would question 7 options: increase. be zero. stay the same. decrease.
If the earth rotated slower about its axis, your apparent weight would increase, because we would experience less centrifugal force as the Earth rotated more slowly. Since gravity would remain constant but centrifugal force would decrease, the combined force of the Earth's gravity and centrifugal force would be greater.
What is centrifugal force?
A hypothetical force called centrifugal force, which is unique to particles traveling in a circle, is a force that has the same strength and dimensions as the centripetal force, but acts in the opposite direction.
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What happens to a sound wave as air temperature decreases?
O A. The wave's speed increases.
O B. The wave's speed decreases.
•O C. The wave returns to a rest position.
O D. Air particles push harder on the wave.
Answer:
O B. The wave's speed decreases.
Explanation:
the mass of a penny is 2.5 g. if the penny is held out a window on one of the upper floors of the empire state building, 350 m off the ground, what is the gravitational potential energy of the penny with respect to the ground?
The gravitational potential energy of the penny with respect to the ground is 8.575 J.
Gravitational Potential Energy:
The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy).
Mathematically,
[tex]PE=mgh[/tex]
Where,
[tex]PE=[/tex] Gravitational Potential Energy
[tex]m=[/tex] Mass of object
[tex]g=[/tex] Gravity
[tex]h=[/tex] Height
We have given that,
Mass of a penny; m = 2.5 g =0.0025 kg
Height of a penny; h = 350 m
We know that,
[tex]PE=mgh[/tex]
[tex]PE=(0.0025kg)(9.8m/s^{2} )(350m)[/tex]
[tex]PE=8.575J[/tex]
Hence,
The gravitational potential energy of the penny with respect to the ground is 8.575 J.
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a model drag car (of mass 5 kg) is being accelerated along its track from rest by a motor with a force of 90 n, but there is a drag force of 30 n due to the track. what is the kinetic energy after 3 m of travel?
When a model drag car is accelerated along its track from rest by a motor with a force, then the kinetic energy after 3 m is calculated to be equal to : 90 J.
What do you understand by kinetic energy?Kinetic energy is defined as the work done that is required to move a body from the rest position to a specific velocity.
Given , truck is accelerated from the rest with force = F₁ = 90 N
Drag force, F₂ = 30 N
Distance, D = 3 m
As, Work done = Force x Distance
W = F x D
So, W = ( F₁ - F₂) x D
= ( 90 - 30) x 2
W = 120 J
Therefore, the kinetic energy is 120 J.
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A small weight is suspended from a string of negligible weight and given an initial horizontal velocity of 2.00 m/s, with the string initially vertical. Find the maximum angle O that the string makes with the vertical if the string is 1.00 m long.
The maximum angle O that the string makes with the vertical is 30 ⁰.
What is the maximum angle of the string?The maximum angle O that the string makes with the vertical is calculated by applying the following kinematic equation.
Mathematically, the trigonometry equation is given as;
sin θ = r / L
where;
r is the radius of the circular stringL is the length of the stringThe given parameters include the following;
the radius of the circular string (assumed) , r = 0.5 m
the length of the string, L = 1 m
Substitute the given parameters and solve for the maximum angle of the string as shown below.
sin θ = r / L
sin θ = (0.5 m) / (1 m)
sin θ = 0.5
θ = arc sin (0.5)
θ = 30 ⁰
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According to the uncertainty principle, as you localize a wave in time, you become more uncertain about its?
It is impossible to determine a particle's location and momentum simultaneously and with great accuracy (such as an electron). Therefore, it is known as the Heisenberg uncertainty principle. Thus the given statement is true.
What is heisenberg uncertainity principle ?The Physical Foundations of Quantum Theory Any use of the terms "position" and "velocity" that is more accurate than what is provided by [the relation] is meaningless, according to Heisenberg, just as much as the use of words whose meaning is unclear.
One of the foundational ideas of quantum mechanics is Heisenberg's uncertainty principle. In essence, it says that if we have complete knowledge of a particle's location (where the uncertainty of position is minimal), but have no knowledge of its momentum (where the uncertainty of momentum is great), and vice versa.
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can you apply kinematics with constant acceleration equations for an object undergoing circular motion?
No, we can not apply kinematics with constant acceleration equations for an object undergoing circular motion because acceleration of the particle in circular motion is constantly changing.
Why kinematics can not be applied for an object undergoing circular motion?Since the kinematic formulas are accurate only if the acceleration is constant during the time interval , therefore we have to be careful to not use them when the acceleration is changing.
The kinematics equations can be utilized for any motion that is described as being either a constant velocity motion or a constant acceleration motion. They can not be used over any time period during which the acceleration is changing.
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If you are in a tunnel and yell loudly, you can hear__________________ sound waves, which are also known as ____________
Answer:
REFLECTED, ECHOES.
Explanation:
If an object is on Earth, moving at speed of 50 m/s, and all the forces on it are perfectly balanced, and stay perfectly balanced, what will
happen as time goes on?
What would happen as time goes on is that the object would continue moving along a straight line.
What is the Newton first law?The statement of the Newton's law would draw our minds to the law of inertia. This implies that an object that is at rest would continue to be at rest unless it is acted upon by an unbalanced force.
We also know that if an object is in motion, the object would continue to be in motion unless the object is acted upon by an external force. With this said, we are told in the question that an object is on Earth, moving at speed of 50 m/s, and all the forces on it are perfectly balanced, and stay perfectly balanced.
Given the fact that all the forces that are acting on it are perfectly balanced, we would expect that the object would have to continue to move in the forward direction.
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In a collision, if two objects are moving in opposite directions, what does that mean for their momentum
values?
there is an increase in the momentum
Planets
Project: Scale Model of the Solar System
A solar system is a group of planets and other space material orbiting (going around) a star. In our solar system, that star is known as the Sun and the planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
We want our model to reflect the relative distances and sizes of the planets.
Materials:
Metric rulerWhite poster boardPencilDrafting compass (the kind you draw circles with)ScissorsPermanent MarkerProcedure: Scale Model of Distances from Sun
Trace 9 circles using the bowl as a guide. Because the distance scale model only is concerned with distances between the planets, you can make all the planets the same size.Label the circle's Sun, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune.Cut the circles out.Position yourself as the Sun.Give each of your friends a cut-out planet to hold.Have your friends position themselves the following distances from you. (Note that some of the measurements are in centimeters rather than meters. A centimeter is 1/100 of a meter, just like a cent is 1/100 of a dollar).Procedure: Scale Model of Relative Diameters of Planets
First, we need to compare the diameter of the Earth to that of the other planets. Remember that diameter is the length of a straight line going through the middle of a circle. The Earth’s diameter is 12,750 km. We can divide the diameter of the Earth into the diameters of all the planets, to get a relative comparison. The Sun, with a diameter of 1,393,000 km, is over a million times bigger than Earth and would be too big to draw on a piece of paper for this activity.Use the ruler to draw a line for the diameter. Start with drawing the relative diameters of Jupiter, Saturn, Uranus, and Neptune.Using the compass, draw circles around the diameters. Fit in the smaller planets (Earth, Mercury, Venus, and Mars) around where you drew the bigger planets.Label the planets, so you don’t forget which is which when you are cutting them out. For tiny planets, you might have to use an abbreviation.Cut your planets out.Results
When you build the scale model of solar system distances, you will undoubtedly notice that some of your friends will be much closer together than others. Some of your friends will have to stand quite close to each other, while others will be far enough away to have a hard time hearing you! When you compare the sizes of the planets, Jupiter and Saturn will seem gigantic compared to the others.
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A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 1.1 106 kilometers before turning 70° and traveling 2.1 106 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in kilometers) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had instead traveled directly through the nebula?
If the captain had not ordered a course correction, the magnitude of the path of the spaceship would have been 3.2 106 kilometers, and the direction would have been 14.8° counterclockwise from the +x-axis.
What is the direction?Generally, To find the magnitude and direction of the path of the spaceship if it had traveled directly through the nebula, you can use vector addition.
The magnitude of the path of the spaceship is the distance it traveled, which is 1.1 106 kilometers + 2.1 106 kilometers = 3.2 106 kilometers.
The direction of the path of the spaceship can be found using the law of cosines:
cos(direction) = (1.1 106 kilometers)2 + (2.1 106 kilometers)2 - (70°)2 / (2 * 1.1 106 kilometers * 2.1 106 kilometers)
Solving for direction gives:
direction = cos-1(0.986) = 14.8° counterclockwise from the +x-axis
So, If the captain had not given the order to alter course, the spacecraft's route would have been 3.2 106 kilometers in length and would have been 14.8 degrees counterclockwise from the +x-axis.
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the 21-cm line of neutral hydrogen (in the radio part of the electromagnetic spectrum) is useful for mapping the structure of our galaxy. why?
Interstellar hydrogen atoms emit cold, neutral electromagnetic radiation with a wavelength of 21 centimeters.
What are 5 examples of electromagnetic?Radio transmissions, microwaves, infrared, visible light, ultraviolet, x-rays, and gamma rays are only a few examples of electromagnetic radiation. The lowest energy, frequency, and wavelength are found in radio waves. The strongest, most prevalent, and short-wavelength photons are gamma rays.
What is a simple electromagnetic?Powerful electromagnet A straightforward electromagnet was created by students as part of a project using common components. By wrapping a wire around an iron nail and passing current through it, electromagnets can be created. The magnetic field is produced around the nails by the electric field in the wire coil.
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What physical properties cause an object to resinate?
shape,composition, and length
shape,temperature,energy
mass,color, and density
color, density and composition
The physical properties cause an object to resinate shape,composition, and length. Therefore, option A is correct.
What is physical property ?A physical property is a characteristic of matter that can be observed and measured without changing a sample's chemical identity. The measurement of a physical property may alter the arrangement of matter in a sample, but not its molecule structure.
An extensive property is one that is affected by the amount of matter in a sample. Mass and volume are two examples of extensive properties.
There are physical properties of matter that are proportional to its quantity or size, such as length, mass, volume, weight, and so on. As the size or quantity of matter changes, so do these properties and their values.
Thus, option A is correct.
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Which two energy transformations are taking place as the dog slides?
A. Potential energy
B. Mechanical energy
kinetic energy
1
chemical energy
C. Kinetic energy electromagnetic energy
D. Potential energy - thermal energy
SUBMIT
D. Potential energy - thermal energy. The two major forms are Kinetic Energy and Potential Energy. Kinetic energy is the energy in moving objects or mass.
What is a kinetic energy transformation example?A portion of the kinetic energy from the club's swing is transferred to the stationary golf ball as the club makes "contact" with it.This type of energy transfer involves the transfer of energy from one item to another while maintaining its original shape.
What constitutes a potential and kinetic energy example?Let's use illustration:Consider a table with a book on it.The book has potential energy when it is open.However, because the book is in motion when you unintentionally knock it from the table, that potential energy will change into kinetic energy as it falls.
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Answer: it's potential energy and kinetic
Explanation:
I know because I got it wrong think it was potential energy and thermal energy the person down or up there got it wrong don't choose it
the coriolis force will deflect objects to the in the southern hemisphere, and gets stronger when the objects velocity is ?
In the southern Hemisphere, objects deflect to the right, whereas In the Northern Hemisphere objects deflect to the left.
What is Coriolis force in simple terms?The Coriolis force is the name given to the unseen force that seems to reroute the wind. Different speeds of movement are governed by the Coriolis force. It is based on the gravity or rotational speed of the object. The force is parallel to the axis of the object. From west to east, the Earth rotates on its axis.
Why does the equator lack a Coriolis force?The path of an object moving vertically and freely at the equator does not curve relative to the Ground atmosphere as there is no sensation of rotation of the Earth's surface underneath it. There is no Eddy currents effect because the object's trajectory is straight.
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A box of mass 50kg is pulled up from the hold of a ship with an acceleration of 1 meter per second square by a vertical rope attached to it. Find the tension in the rope.
The tension in the rope that has a box of 50 kg tied to it is 540 N.
What is tension?
Tension is described as the pulling force transmitted axially by the means of a string, a rope, chain, or similar object.
To calculate the tension in the rope, we use the formula below.
Formula:
T = m(a+g)..................... Equation 1Where:
T = Tension of the ropem = Mass of the boxa = Accelerationg = Acceleration due to gravityFrom the question,
Given:
m = 50 kga = 1 m/s²g = 9.8 m/s²Substitute these values into equation 1
T = 50(9.8+1)T = 50(10.8)Hence the tension is 540 N.
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PLEASE HELP FAST VERY URGENT (15 POINTS)!!
What led to the government getting involved in the treatment of water?
Answer:
Public outcry over dirty rivers
Explanation: