a baseball bat strikes a ball with an average force of 20000 newtons. if the bat stays in contact with the ball for a distance of 0.0050 meter, what kinetic energy will the ball acquire from the bat?

The speed of the aircraft would decrease as force is exerted on it.

We know that according to the Newton second law, the rate of change of the momentum of the body is directly proportional to the impressed force.

Given that there was a burst of gunfire from their jet fighter, the speed of their aircraft decrease from 265 to 250 km per h, we can see that there was a decrease in the velocity because of the force that has been exerted on the jet by the fire of the bullet.

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The tension in the chain for the same angle is 533.37 N.

The speed of each seat is determined by treating the system as a simple harmonic motion.

Apply the law of conservation of mechanical energy as shown below.

kinetic energy of each seat at the bottom = potential energy of each seat at the top

K.E = P.E

¹/₂mv² = mgh

v² = 2gh

v = √ ( 2gh )

where;

The vertical displacement of the seats is calculated from the length of the chain as follows;

h = L cos (24.4)

The speed of each seat is calculated as follows;

v = √ ( 2g L cos (24.4) )

v =  √ ( 2 x 9.8 x 2.54cos (24.4) )

v = 6.73 m/s

The tension in the chain is calculated by applying the formula for centripetal force as follows;

T = mv²/r

where;

T = ( 73.6 x 6.73² ) / ( 6.25 )

T = 533.37 N

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The complete question is below:

An amusement park ride consists of a rotating circular platform 12.5 m in diameter from which 10 kg seats are suspended at the end of 2.54 m massless chains. When the system rotates, the chains make an angle of 24.4° with the vertical. The acceleration of gravity is 9.8 m/s^2..

If a child of mass 63.6 kg sits in a seat, what is the tension in the chain (for the same angle)? Answer in units of N.

Answer:

300 km

Explanation:

Vi 10m/s

Vf = 40m/s

a= 2.5 m/s^2

Vf^2 - Vi^2 = 2as

S = (40^2 -10^2)/(2*2.5) = 300 Km

The charge stored in a 1.00-cm-long segment of the wire is 5.6 x 10^6 x 1.00 cm, or 5.6 nC.

Charge is an electrical property of matter that either attracts or repels other objects with an electrical charge. This property is due to the presence of electrons, protons and neutrons, which all have different charges. The force of attraction or repulsion between two objects with a charge is known as the Coulomb force. The charge of an object is measured in Coulombs, which is a unit of electric charge.

The charge (in nC) on a 1.00-cm-long segment of the wire depends on the type of wire and the amount of charge stored in it. If the wire is an insulated copper wire, then the charge stored in it is determined by the number of electrons per unit length of the wire. The charge stored in a 1.00-cm-long segment of wire can be calculated by multiplying the number of electrons per unit length of the wire by the length of the wire itself, which is 1.00 cm. For example, if the wire has 5.6 x 10^6 electrons per centimeter, then the charge stored in a 1.00-cm-long segment of the wire is 5.6 x 10^6 x 1.00 cm, or 5.6 nC.

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We know that the work-energy theorem states that the change in energy (in this case, kinetic energy) is equal to the work done on a system.

what is energy ?

Energy is the capacity to do work. It exists in many forms, such as kinetic, potential, thermal, electrical, chemical, nuclear, and mechanical energy. Kinetic energy is energy that is in motion, such as a moving car or the wind. Potential energy is energy that is stored, such as the energy stored in a stretched rubber band or a raised weight.

Thermal energy is the energy of moving molecules, such as the energy in hot water or in the air. Electrical energy is energy associated with the movement of electrons. Chemical energy is the energy stored in the bonds of atoms and molecules. Nuclear energy is energy stored in the nucleus of an atom. Mechanical energy is energy associated with the motion and position of an object.

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The distances are mentioned below.

What is distance?

Distance refers to the measure of the separation between two points in space. The distance between two points can be determined using mathematical formulas, such as the distance formula in Euclidean space or the great-circle distance formula in a curved space. Distance can also be thought of as a scalar quantity, meaning it has only a magnitude and no direction.

Part A:

To find the closest distance that the coin can be held and still be in focus, we can use the lens equation 1/f = 1/d_o + 1/d_i where f is the focal length of the lens, d_o is the object distance, and d_i is the image distance.

We know that f = 11 D and d_i = 1.7 cm

Therefore,

1/f = 1/d_o + 1/d_i

1/11D = 1/d_o + 1/(1.7cm)

Solving for d_o,

d_o = 1/(1/11D - 1/(1.7cm))

The closest possible distance that Anna can hold the coin to have it appear in focus is d_o. The unit will be in cm.

Part B:

The size of the image that the lens forms on the retina is determined by the lens equation:

1/f = 1/d_o - 1/d_i

where f is the focal length of the lens, d_o is the distance from the lens to the object, and d_i is the distance from the lens to the image.

We know that f = 11 D and d_o = closest possible distance found in Part A.

Therefore,

1/d_i = 1/f - 1/d_o

Solving for d_i, the distance from the lens to the image, will give us the size of the image of the coin on Anna's retina. The unit will be in cm.

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Energy-interaction diagrams, also known as energy level diagrams, are graphical representations of the possible energy states of a system and the transitions between them. They are used to describe the behaviour of a system in terms of its energy levels and the interactions that cause transitions between them.

There are two types of interaction diagrams- a sequence diagram and the other is a collaboration diagram.

There are stages of relational interaction in which relationships come together (initiating, experimenting, intensifying, integrating, and bonding) and come apart (differentiating, circumscribing, stagnating, avoiding, and terminating).

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The potential energy of the 93 kg person standing 4.2 meters off the ground is 3733.6 Joules.

Potential energy is the power that an object can store due to its position in relation to other objects, internal stresses, electric charge, or other circumstances.

To calculate the potential energy of a 93 kg person standing on a bridge 4.2 meters off the ground, we can use the formula for gravitational potential energy:

PE = mgh

Where PE is potential energy, m is the mass of the person, g is the acceleration due to gravity, and h is the height above the ground.

The acceleration due to gravity is approximately 9.8 m/s² on earth surface.

So, the potential energy of the person is:

PE = (93 kg) * (9.8 m/s²) * (4.2 m)

PE = 3733.6 J.

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The weight of the block on the horizontal surface will be 20N.

It is given that the force applied on the block is being pushed by applying a force of 20N, also the force is in such a manner that the block is moving with constant speed.

Now, we know, the weight of the body is equal to the product of the acceleration due to gravity and the mass of the body.

Now, we know,

W = Mg

Where,

M is mass and g is gravitational acceleration.

Putting values,

W = 2 x 10

W = 20N.

So, the weight of the block is 20N.

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The speed of the space shuttle is in orbit about the earth at an altitude is calculated to be 7.68 × 10³ m/s.

Given that,  

Satellite's centripetal acceleration a = 8.7 m/s²

Mass of the Earth M = 5.98 × 10²⁴ kg

Gravitational constant G = 6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻²

R is radius of satellite's orbit

v be satellite's velocity

The satellite's centripetal acceleration a = v²/R must be equated to gravitational acceleration GM/R²

v²/R = GM/R²

v² = GM/R

R = GM/ v²

v² = GM/ (v²/a)

v = (GM a)^ 1/4

Putting in the values, we have,

v = (6.67 × 10⁻¹¹ × 5.98 × 10²⁴ × 8.7)^ 1/4 = 7.68 × 10³ m/s

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signifies a development or size increase caused by a slow process of external addition and accumulation. The term "accretion" refers to the process in astrophysics and planet physics whereby a celestial object gains mass through the gravitational accumulation of smaller celestial objects and surrounding gas.

The steady growth in size of an item caused by the accumulation of materials due to gravity is known as accretion. In those other words, as tiny amounts of matter are drawn to an object by gravity and adhere to it, the object will become larger and larger.

Gravitational forces acting on material of all sizes and compositions, including gas, dust, plasma, and even dark matter, inevitably lead to accretion. Matter accretes because of gravity. Additionally, as matter gathers, it creates objects.

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According to the question ,On writing 0.51 in scientific notation , the value of a is 5.1 and value of k is -1 .

When a number outside 1 and 10 is scaled by a power of 10, the result is represented in scientific notation.

Simply put, scientific notation is a means to write numbers. Due to its lower length, increased efficiency, and straightforward magnitude indication, it is particularly helpful when expressing extremely big or extremely small quantities. A decimal portion multiplied by an integer number of ten can be used to represent any real number.

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( 1) The net gravitational force between the 74.8 kg mass is  8.09 x 10⁻⁵ N.

( 2) The distance from the from the 494 kg mass where the middle mass experiences net zero force is 0.258 m.

The net gravitational force acting on the middle mass is calculated by applying Newton's law of universal gravitation as shown below.

F = ( GmM ) / ( R² )

where;

The force between the first mass and the middle mass is calculated as;

F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( 0.198² )

F' = 1.8 x 10⁻⁵ N

The force between the third mass and the middle mass is calculated as;

F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.198² )

F'' = 6.29 x 10⁻⁵ N

The net gravitational force on the middle mass;

F (net)  = 6.29 x 10⁻⁵ N + 1.8 x 10⁻⁵ N

F ( net ) = 8.09 x 10⁻⁵ N

Let the distance of zero net force from the 141 kg mass = d.

then the distance from the 494 kg mass = 0.396 m - d

F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( d² )

F' = 0.704 x 10⁻⁶ / d²

F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.396 - d )²

F'' = 2.47 x 10⁻⁶ / ( 0.396 - d )²

for zero net force, the two forces must be equal

0.704 x 10⁻⁶ / d²  = 2.47 x 10⁻⁶ / ( 0.396 - d )²

0.704 (0.396 - d )² = 2.47d²

(0.396 - d )²  = ( 2.47d² ) / ( 0.704 )

(0.396 - d )²  = 3.51d²

0.396 - d = √ ( 3.51d² )

0.396 - d = 1.87d

1.87d + d = 0.396

d (1.87 + 1) = 0.396

d (2.87) = 0.396

d = 0.396 / 2.87

d = 0.138 m

The distance from the 494 kg mass = 0.396 - 0.138 m = 0.258 m

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Answer: A, C, E

Explanation:

Potassium and sodium both belong to Group 1. They have the same number of valence electrons. Therefore, they form similar compounds with other elements.

Answer:

20

Explanation

f=Kgm/s
2multiply by 10=20

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The energy produced by the heart in a day when the power output of the heart is given is calculated to be 1.15 × 10⁵ J.

Given that,

Power output of human heart = 1.33 W

Time in one day = 24 hours = 24×60 min = 24×60×60 s = 86400 s

Energy produced by heart in a day = ?

The expression for energy, power and time is given as, E = P t

where, P is power

t is time

E is energy

The energy it produces is equal to the power output times the time the heart does work.

E = P t = 1.33 × 86400 = 1.14912 × 10⁵ J ≈ 1.15 × 10⁵ J

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The change in kinetic energy = 212.50 J - 197.458 J = 15.042 J.

Kinetic energy is the energy possessed by an object due to its motion. It is the energy that an object has because of its motion. Kinetic energy is the energy of motion and is equal to one half of the mass of the object times the square of its velocity. Kinetic energy can be converted into other forms of energy, such as electrical, thermal, or chemical energy.

The kinetic energy of the two fish before the collision can be calculated by using the equation K = 1/2mv^2. For the first fish, K = 1/2 (0.650 kg)(15.0 m/s)^2 = 113.125 J. For the second fish, K = 1/2 (0.950 kg)(13.5 m/s)^2 = 99.375 J.

The total kinetic energy of the two fish before the collision is 212.50 J.

To calculate the change in kinetic energy, we first need to calculate the velocity of the two fish after the collision. To do this, we can use the equation for the conservation of momentum for an inelastic collision, p = m1v1 + m2v2. We know the masses and initial velocities, so solving for the final velocities, we get:

For the first fish, v1 = (0.950 kg)(13.5 m/s) + (0.650 kg)(15.0 m/s) / (0.650 kg + 0.950 kg) = 14.3 m/s.

For the second fish, v2 = (0.650 kg)(15.0 m/s) + (0.950 kg)(13.5 m/s) / (0.650 kg + 0.950 kg) = 13.2 m/s.

Now that we have the final velocities of the two fish, we can calculate the change in kinetic energy by plugging the final velocities into the equation K = 1/2mv^2.
For the first fish, K = 1/2 (0.650 kg)(14.3 m/s)^2 = 105.938 J.
For the second fish, K = 1/2 (0.950 kg)(13.2 m/s)^2 = 91.520 J.

The total kinetic energy of the two fish after the collision is 197.458 J.

Therefore, the change in kinetic energy = 212.50 J - 197.458 J = 15.042 J.

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Change in the momentum of the object with mass 4.9 kg on which force of 6.36 N acts for 20.4 s is 31.164kgm/s and change in velocity is 6.36m/s

As we know Force acting on any object is

F = m.a...........(1)

where m ⇒ mass

and a ⇒ acceleration

Also [tex]a=\frac{v}{t}[/tex]..........(2)

where v ⇒ velocity

t ⇒ time

so equation (1) can be written as:

[tex]F=\frac{m.v}{t}[/tex]..........(3)

Change in Momentum is equal to

p=m.v.......(4)

where m ⇒ mass

v ⇒ velocity

Now as per the question:

Force, F = 6.36 N

Mass, m = 4.9 kg

Time, t = 20.4s

putting the values in equation (3),

we get [tex]6.36=\frac{4.9*v}{20.4}[/tex]

by solving this we get a value of v=6.36m/s

putting the values in equation (4)

we get, Change in momentum

[tex]p=4.9*6.36\\p=31.164kg m/s[/tex]

so the change in velocity is 6.36m/s and change in momentum is 31.164kgm/s

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Kepler's law of equal areas imply that gravity varies inversely with the square of the distance. (false)

Kepler's laws of planetary motion are rules in astronomy and classical physics that describe how the planets move within the solar system. They were mostly developed by the German astronomer Johannes Kepler.

Also whose analysis of the observations of the astronomer Tycho Brαhe from the 16th century allowed him to publish his first two law in 1609 and a third law nearly ten years later, in 1618. Kepler never assigned a number to these laws or made a special distinction between them and his other discoveries.

The conservation of orbital angular momentum L is a direct result of Kepler's law of equal areas.

That law is:

[tex]\dfrac{\mathrm{d}A}{\mathrm{d}t}=\dfrac{1}{2m}L[/tex]

where, dA is the area which is swept out by the radius [tex]\vec{r}[/tex] and is the object's mass m in a time dt.

Since L is conserved, the radius vector's sweep of area A over time t is unaffected by the distance from the central object (the sun).

The gravitational force, which is the primary force and is directed toward the object, causes L to remain constant.

None of these facts imply that gravity varies inversely with distance squared, so the given statement is false.

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Answer:

Explanation: The expression would be

M1V1 = M2V2

She discovers she is going to be in balance when the middle of the board reaches 0.50 m to a outside of a fulcrum and she is m towards the left of something like the fulcrum.

The answer to the questions and What does fulcrum  is straightforward: A lever's fulcrum is its fixed point. A seesaw, for instance, is a lever with a pivot in the centre. The fulcrum of a swing set is the stationary central component.

A lever's pivot point is known as the fulcrum. The lever is supported by the fulcrum. A feedback loop is an illustration of a lever The fulcrum of a seesaw is the bar it sits on. The pivot of the beam is thought to be the fulcrum. When effort is exerted to one side of the lever, a load is added to the other end.

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Velocity is the rate that an object moves in a certain direction.

According to the dictionary, direction refers to how something moves, how to get somewhere in particular, how something is taking shape, or which way you are facing. Direction can be expressed using relative vocabulary, such as up, down, in, out, left, right, forward, backward, or sideways, which compares the location of one thing to another. Velocity is the directional speed of an item in movement as a measure of the rate that its location is changing as seen from a certain view point and as determined by a specific unit of time.

The entire displacement of the object divided by the total time elapsed gives the object's average velocity.

Velocity and speed both refer to how rapidly and in what direction an object moves. Speed in a certain direction is referred to as velocity in physics. It calculates the distance an object travels in a specific length of time. The definition of velocity is the distance that an object travels in one unit of time.

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β = 1131 db is the total sound intensity level heard on the ground (in terms of db).

Total intensity heard at the pitching mound is,

I=15811×1.0×10⁻⁵ W/m²

I=15811×10⁻⁵ W/m²

I=15811×10⁻⁵ W/m²

Total intensity heard at the pitching mound is,

β= 10log(I/I₀)

β= 101og(15811×10⁻⁵ W/m² / 1.0×10⁻¹²)

β=1131 db

β = 1131 db

The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square metre (W/m2) is the SI unit of intensity, which also covers sound intensity.

The power carried by sound waves per unit area in a direction perpendicular to that region is described as sound intensity, also known as acoustic intensity. The watt per square metre (W/m2) is the SI unit of intensity, which includes sound intensity.

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The total energy will be 125,000 J. The total energy is sum of kinetic energy and potential energy.

We use the (joking) example of trying to roast a turkey using potential energy to help us develop an intuitive understanding of the relative magnitudes of the various kinds of energy.

A 100 m building (about 30 floors) is used, and the turkey is carried to the top before being thrown from the edge. Thus, the potential energy is transformed into kinetic energy, which is then transformed into internal energy upon collision.

A rise in temperature is a representation of an increase in internal energy, and if this experiment is carried out frequently enough, the turkey should be able to cook as a result.

Therefore, The total energy will be 125,000 J. The total energy is sum of kinetic energy and potential energy.

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The wave speed will increase by a factor of the square root of 2, or approximately 1.41.

A quantity of any characteristic value per unit of length is defined as having a linear density. Two frequently used examples in science and engineering are linear mass density (titer in textile engineering, the amount of mass per unit length) and linear charge density (the amount of electric charge per unit length).

The speed of a wave on a stretched string is directly proportional to the square root of the tension divided by the linear mass density of the string.

Therefore, if the string is replaced by another with half the linear mass density, the wave speed will increase by a factor of the square root of 2, or approximately 1.41.

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The factor of which the speed of a wave on the string change is square root of the tension divided by the mass per length, the linear density.

v = μT, where T is the string's tension and μ is the mass of the string per unit length.

The linear density of the rope a wave travels through determines its speed. The speed rises as the linear density decreases. The relationship states that the square root of linear density and speed are inversely related. Thus, a doubling or tripling of speed results from a quartering of the linear density.

Wavelength x Frequency = Speed.

Wave speed and wavelength are related by the wave speed equation (Speed = Wavelength x Frequency). The quantity of waves that move in a wave's frequency is measured in waves per second.

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The circuit operators between the final overcurrent device guarding the circuit and the outlet(s) neat defines a branch circuit.

In physics and electrical engineering, a conductor is an object or type of material that allows the inflow of charge (electric current) in one or further directions. Materials made of metal are common electrical operators. Electric current is generated by the inflow of negatively charged electrons, positively charged holes, and positive or negative ions in some cases.

A branch circuit is an electrical circuit that starts at a main service panel or load center and extends to one or more electrical outlets, devices, or appliances. The final overcurrent device, such as a circuit breaker or fuse, is used to protect the circuit from excessive current and to disconnect the power in case of an overload or short circuit. The conductors that run between this device and the outlet(s) are referred to as branch circuit conductors.

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( 1) The net gravitational force between the 74.8 kg mass is  8.09 x 10⁻⁵ N.

( 2) The distance from the from the 494 kg mass where the middle mass experiences net zero force is 0.258 m.

The net gravitational force acting on the middle mass is calculated by applying Newton's law of universal gravitation as shown below.

F = ( GmM ) / ( R² )

where;

The force between the first mass and the middle mass is calculated as;

F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( 0.198² )

F' = 1.8 x 10⁻⁵ N

The force between the third mass and the middle mass is calculated as;

F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.198² )

F'' = 6.29 x 10⁻⁵ N

The net gravitational force on the middle mass;

F (net)  = 6.29 x 10⁻⁵ N + 1.8 x 10⁻⁵ N

F ( net ) = 8.09 x 10⁻⁵ N

Let the distance of zero net force from the 141 kg mass = d.

then the distance from the 494 kg mass = 0.396 m - d

F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( d² )

F' = 0.704 x 10⁻⁶ / d²

F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.396 - d )²

F'' = 2.47 x 10⁻⁶ / ( 0.396 - d )²

for zero net force, the two forces must be equal

0.704 x 10⁻⁶ / d²  = 2.47 x 10⁻⁶ / ( 0.396 - d )²

0.704 (0.396 - d )² = 2.47d²

(0.396 - d )²  = ( 2.47d² ) / ( 0.704 )

(0.396 - d )²  = 3.51d²

0.396 - d = √ ( 3.51d² )

0.396 - d = 1.87d

1.87d + d = 0.396

d (1.87 + 1) = 0.396

d (2.87) = 0.396

d = 0.396 / 2.87

d = 0.138 m

The distance from the 494 kg mass = 0.396 - 0.138 m = 0.258 m

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When a 15.0 g stray bullet traveling at 145 m/s strikes a wall, if it returns in a straight line at a speed of As a result, the as same is 4.93 N.

A line of the article is a literary device that is used to describe an item in some kind of a list. A centered dot (•), which is a common symbol for a bullet point, is just one of many other symbols and characters that can be employed in bulleted lists. Even numbers and/or letters can be used in some bulleted lists.

Calculation

We know that force F = dP/dt where dP/dt = rate of change of momentum and P = momentum = mv

Now, F = dP/dt = dmv/dt = vdm/dt + mdv/dt

Now since we have 5.6 g bullets, m = 5.6 g = 0.0056 kg, dm/dt = rate of change of mass of bullet hitting superman per second = mass of one bullet × rate of change of bullet = 0.0056 kg/bullet × 110 bullets/min = 0.0056 kg/bullet × 110 bullets/min × 1 min/60 s = 0.0103 kg/s, v = speed of bullet = 480 m/s and dv/dt = 0.

So, F = vdm/dt

= 0.01027 kg/s × 480 m/s

= 4.929 kgm/s²

= 4.929 N

≅ 4.93 N

So, the average force is 4.93 N

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According to the question, 1.132887kcal energy used by a 55.0-kg woman who does 50 deep knee bends in which her center of mass is lowered and raised 0.400 m.

People have figured out how to transform energy from one format to the next and then use it to accomplish tasks, making modern civilization possible.

As we know that-

Mass = 55kg

Knee bend = 55

Efficiency = 20%

Displacement = 0.4m

We will first determine the total Workdone.

Work done = 2n(mgh)

n = 55,

m = 55kg,

g = 9.8m/s²

h = 0.4m

Work done = 2 ×55 × 55 × 9.8 × 0.4

Work done = 23,716J

Considering that the lady completes 20% of her work efficiently;

so,

her energy = 20% of 23,716J

= 4,743.2

= 4.74KJ

Energy = 1.132887kcal

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Force along the third rope is 2F rmABcostheta in magnitude. Newton's second rule of motion is a necessary topic to understand in order to answer this question.

In terms of physics, magnitude is just "distance or quantity." In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. In physics, the term "magnitude" often refers to a size or amount.

How much and which way are answered by the magnitude and direction respectively. As an illustration, the magnitude 5 meters and the direction North. A vector quantity with both magnitude and direction is 5 meters north.

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