A dart with a mass of 0.6 kg is thrown at 10.8 m/s and sticks into a 1.9 kg apple hanging
on a string. What is the velocity of the dart and apple just after the dart is embedded?

Answers

Answer 1

The x component of the center of mass's velocity vector cannot change since the overall momentum is conserved. Consequently, the apple's and dart's velocity is 5 m/s.

What is the speed of the apple and dart right after the dart has pierced it?

Equation 1: According to the equation of conservation of momentum, mu+m'u' = V(m+m')

Where m is the dart's mass, m' is the apple's mass, u is the dart's initial velocity, u' is the apple's initial velocity, and V is the dart and apple's subsequent velocity after becoming embedded.

Making V the equation's object,

V = (mu + m'u ) / (m + m )

Given: u = 15 m/s, u' = 0 m/s, m = 50 g = 0.05 kg, m' = 100 g = 0.1 kg ( at rest)

Replace in equation 2

V = (0.05×15+0.1×0)/(0.05+0.1)

V = 0.75/0.15

V = 5 m/s.

Consequently, the apple's and dart's velocity is 5 m/s.

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Related Questions

you ran out of gas and are trying to push your car to a gas station, once you get the car moving, what force opposes your push?

Answers

The moves your car forward is the effect of static friction. The power needed to move the tires, which would in turn pushes the vehicle backward against the road, comes from the engine.

What is force example?

Force is the term used to describe a body's tendency to alter or alter its state as a result of an external cause. When force is applied, the body could also alter its size, shape, and direction. hitting a football, pushing and pulling on the door, or kneading dough are a few examples.

What causes force?

A push in pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on all of the materials. The force is no longer felt by the two surfaces when the interaction ends.

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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.

Answers

-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?

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?

Answers

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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What physical properties cause an object to resinate?

shape,composition, and length

shape,temperature,energy

mass,color, and density

color, density and composition

Answers

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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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.

Answers

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 string

The 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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when current flows in a conductor, a magnetic field is produced. as free electrons move in one direction, their individual magnetic fields ? .

Answers

A magnetic field is created in a conductor when current is flowing through it. Free electrons' magnetic fields add up as they flow inside a single direction.

What do you mean of current?

Molecules or atoms lacking in electrons, which are frequently used as carriers of electric charges, move as current. Currently is frequently represented with the capital letter I. The standard component is the ampere, which is represented by the letter A.

What is type of current?

Current flow (DC) and alternating current (AC) are the two types of current used in electricity (AC). Electrons pass only in the direction of direct current. Direct current is produced by batteries. Electrons move both in directions during alternating current. Electric current produced by power plants is AC.

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According to the uncertainty principle, as you localize a wave in time, you become more uncertain about its?

Answers

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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if 20% of the mass of a 50 kg student's body is fat (a typical value), what is the total volume of fat in his body?

Answers

The total volume of fat in the body is 22.5L.

Since there are numerous body composition outcomes that could change the body fat percentage in such a way, it is impossible to know for sure.

You could reduce your body fat and lean mass from 18 to 15 percent. However, you could also put on some lean mass during the process and lose less fat as a result to maintain the same percentage.

Alternately, you could put on more lean mass while also gaining fat, which would ultimately bring your body fat percentage down to 15%. Alternatively, one of the fat/lean masses could be maintained constant, and only the other would alter accordingly.

A different weight, but the same percentage, would be assigned to each of those outcomes.

20% of 50 kg= 20 x 50/100=10kg

Density =100

D=M /V

V=M/D

=10/100

=0.1l

Total volume = standard volume + calculated volume

=22.4 +0.1

=22.5L

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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?

Answers

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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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

Answers

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 21-cm line of neutral hydrogen (in the radio part of the electromagnetic spectrum) is useful for mapping the structure of our galaxy. why?

Answers

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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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

Answers

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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An object has a kinetic energy of 500 J and a mass of 30 kg. How fast is the object moving?

Answers

kinetic energy is (m·s²)/2

m = mass

s = speed

so,

500 = (30 x s^2 )/2

1000 = 30 x s^2

100/3 = s^2

s = [tex]\frac{10\sqrt{3} }{3}[/tex]

a 60 kg runner in a sprint moves at 11 m/s. a 60 kg cheetah in a sprint moves at 33 m/s.

Answers

Equation states that the cheetah has nine times the kinetic energy of a human run.

What are the nine forms of energy?

There are many distinct types of energy, including gravitational, thermal, radiant, chemical, nuclear, electrical, motion, sound, & elastic energy.

Briefing:

Considering that,

the runner's weight, m₁ = 60 kg

runner's speed, v₁ = 11 m/s

Mass of cheetah, m₂ = 60 kg

Speed of cheetah, v₂ = 33 m/s

energy expended by the runner

Er=1/2m₁v₁²

  =1/2*60*11²

  =3630

Cheetah kinetic energy,

 Ec=1/2m²v²2

    =1/2*60*33²

    =32670

It is evident from equations (1) and (2) that

Ec=9*Er

The cheetah therefore has nine times the kinetic energy of a human runner. Consequently, this is the necessary remedy.

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The complete question is-

A 60 kg runner in a sprint moves at 11 m/s. A 60 kg cheetah in a sprint moves at 33 m/s. By what factor does the kinetic energy of the cheetah exceed that of the human runner?

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

Answers

Newtons first law of motion is known as the law of inertia. Which states that an object will stay at rest unless it’s disturbed by a force ( push or pull).

What is the magnitude of force C

Answers

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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in a circuit with two identical components connect in parallel, the current which flows through it's different branches are different or the same

Answers

Answer:

same,

my advise is you add more points it will make everyone anwser quicker.

In a collision, if two objects are moving in opposite directions, what does that mean for their momentum
values?

Answers

there is an increase in the momentum

Planets
Project: Scale Model of the Solar System

Answers

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 Marker

Procedure: 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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Visible light is which type of wave?

Answers

Answer:

Visible light waves are a form of electromagnetic radio waves such as infrared radiation, X-rays, microwaves, and ultraviolet radiation.

a 710 kg car drives at a constant speed of 23 m/s . it is subject to a drag force of 500 n.

Answers

A. To drive the car on level ground, the engine needs to produce 11,500W of power.

b. The car's engine must provide 17,084W in power in order to move the vehicle up a hill with a 2.0 grade.

What is speed and how is it used?

Speed is indeed an illustration of an amphetamine. Substantial amounts of dopamine are produced by this central nervous system stimulation. A chemical in the brain associated with reward and pleasure is called dopamine. There are numerous types of amphetamines.

Briefing:

(a).The two forces at action are the drag force, D, which pushes the car backward, as well as the driving force, F, which pushes it vehicle forward. Since there can be no net force,

F-D=0

We know that D=500 N, so

F=D

F=500N

The force produced by the engine (F) and the vehicle's speed (v=23 m/s) are multiplied to produce the power used by the engine, so:

P=Fv

=(500N) (23m/s)

=11,500W

(b).the component of the weight of the car parallel to the slope, which acts against the motion of the car. Its magnitude is given by:

Wₓ=(mg)sin

=(710kg)(9.8m/s²)(sin2.0°)

=242.8N

F-D-Wx=0

F=D+Wx

=500N+242.8N

=248.8N

Consequently, this time the engine's power output

P=Fv

=(742.8N)(23m/s)

=17,084W

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The complete question is-

A 710 kg car drives at a constant speed of 23 m/s . it is subject to a drag force of 500 n. what power is required from the car's engine to drive the car (a) on level ground? (b) up a hill with a slope of 2.0 ∘ ?

Through the process of photosynthesis, plants transform carbon dioxide found in the atmosphere together with water and sunlight into: Organic matter Inorganic matter Organic and inorganic matter​

Answers

Plants transform, through the process of photosynthesis, carbon dioxide, with water and sunlight, into organic and inorganic matter.

¿What is photosynthesis?

Photosynthesis has been a chemical reaction carried out by plants and through which they obtain their own food.

This chemical reaction translates as:

Carbon Dioxide + Water + LightGlucose + Oxygen

In this sense, let us note that with photosynthesis, organic matter, which is glucose, and inorganic matter, which is oxygen, are obtained in the products.

If you are in a tunnel and yell loudly, you can hear__________________ sound waves, which are also known as ____________

Answers

Answer:

REFLECTED, ECHOES.

Explanation:

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?

Answers

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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Who isn’t all white light or even yellow light the same?

Answers

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.

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?

Answers

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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beth and sam are 500 miles apart. if beth travels at 60mph and leaves her house at 1pm, what time will she arrive at sam's house?

Answers

Sam and Beth are separated by 500 miles. If Beth leaves her home at 1pm and travels at 60mph, If you add T=8 hours 20 minutes to 1 pm, then get 9:20 pm.

What is the travel formula?

The approach taken by such a body to go across a specified distance in a predetermined amount of time at a specific speed is known as the distance traveled. Distance is equal to time times velocity if the speed is constant. d = v*t.

How far did you travel altogether?

The act of traveling: passage, voyage, or a journey, particularly to a far-off or unfamiliar location. frequently used in plural. An narrative of one's travels, in the plural. An object is thought to have comfort . when it returns to its origin.

Briefing:

Distance = 500 miles

Rate = 60 mph

Distance = rate * time

Time = Distance/rate

Time = 500 miles / 60 mph

Time = 8 hours 20 minutes

Total time = 9:20 pm

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can you apply kinematics with constant acceleration equations for an object undergoing circular motion?

Answers

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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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/?

Answers

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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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.

Answers

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 1

Where:

T = Tension of the ropem = Mass of the boxa = Accelerationg = Acceleration due to gravity

From the question,

Given:

m = 50 kga = 1 m/s²g = 9.8 m/s²

Substitute these values into equation 1

T = 50(9.8+1)T = 50(10.8)
T = 540 N

Hence the tension is 540 N.

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Which region of northeastern mississippi is more culturally similar to tennessee than to other regions within the state?. What is the correct formula for the product of the combination reaction between calcium metal and oxygen gas?. Which information can be found in both the biography and autobiography? ASAP A sample of a gas is in a sealed, rigid container that maintains a constant volume. Which changes occur between the gas particles when the sample is heated?. Dwight and Jim hold up a bank. Jim holds people at gunpoint while Dwight takes people'svaluables and robs the safe. Dwight is considered what? What is Jim's role here? please help me ASAP MATH! Which type of population pyramid has the characteristic of "high fertility rates; low life expectancies"?A. RestrictiveB. ConstrictiveC. ExpansiveD. Stationary A one-cup serving of spaghetti with meatballs contains 260 calories and 32 grams of carbohydrates. A one-cup serving of chopped iceberg lettuce contains 5 calories and 1 gram ofcarbohydrates. Determine how many servings of each would be required to obtain 160 calories and 20 grams of carbohydratesHow many serving(s) of spaghetti would be required?(Round to the nearest tenth.) (4x-7.2)+(-5.3x-8) please help! Which sentence is in the subjunctive mood?My cousin is visiting from Sweden tomorrow.Can you pick him up at the airport?I wish that he were already here now.I cant wait to see him. when is the financial components approach to recording the transfers of receivables used? when should a transfer of receivable be recorded as a saleg To be classified as a specific phobia, a fear must be significant enough to disrupt everyday life and have lasted for at least _____ months.6 a natural monopoly exists when one large firm can produce at a lower per unit cost than smaller firms. true falsde The table shows the age and grade level of a sample of children in a club.Create a scatter plot that represents the data that is shown in the table. The x-axis represents the child's age, and the y-axis represents the child's grade level. Bill wants to enhance his social wellness. Which activity would you recommend? A. Recycling B. Identifying his values and beliefs C. Participating in a community activity O D. Practicing self-care Two systems of equations are shown: System A System B 6x + y = 2 2x 3y = 10 x y = 3 x y = 3 Which of the following statements is correct about the two systems of equations? (1 point) The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding 4 to the first equation of System A and the second equations are identical. 17. Of the 4,325 grapefruits harvested so far,Bob's has sold 1,250 of them at a farmer'smarket. How many gift cartons can Bob'sfill with the remaining grapefruits? Howmany grapefruits will be left? Which characteristics would be present in an air mass that develops over the Caribbean Sea near the equator? Find the slope of the li16.) (5,-3), (5,8) Match the variable and angle with the correct value to create the angle measures for the exterior angle theorem.