a 90-kg fullback, running at 5.0 m/s attempts to dive across the goal line for a touchdown. just as he reaches the goal line, he is met head-on in midair by two 73-kg linebackers, one moving at 3.0 m/s and the other at 4.0 m/s. if they all become entangled as one mass, with what velocity do they travel?

The average angular acceleration of the figure skater during the time interval of 4.6 s is 0.99 rad/s².

For this question:

Then,

angular acceleration = Change in angular velocity / time

α = ω2 - ω1 / t

α = 7.7 - 3.2 / 4.6

α = 4.5/4.6

α = 0.99 rad/s²

Thus, the average angular acceleration of the figure skater during the time interval of 4.6 s is 0.99 rad/s².

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The ball takes 1.22s to reach the highest point. It remains in the air for 2.44 s when it is thrown vertically upwards.

Equations of motion define the behaviour of physical system in terms of the motion as a function of time.

At the topmost point, v = 0.

Gravitational acceleration is equal to a = -g = -9.8 m/s²

We know one of the equations of motion as, v = u + a t

where, v is final velocity

u is initial velocity

a is acceleration

t is time

Putting in the values in the above equation, we have,

0 = 12 -9.8 t

9.8 t = 12

t = 1.22 s

Thus, the ball reaches the highest point in 1.22 s.

To find out the time in which the ball remains in the air is can be calculated by, v² - u² = 2 a s

where, s is the distance

- 12² = 2 × (-9.8) s

19.6 s = 144

s = 7.34 m

The total time taken by the ball to reach the maximum height is 1.22 s and it takes another 1.22 s to reach the ground.

So, the ball remains in the air for 2.44 s.

The question is incomplete. The complete question is 'Ball is thrown vertically at this speed 12 m/s.'

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Magnitude of electrostatic force between two charged balls is 63 Nm²/C²

The electrostatic force is an attractive as well as repulsive force caused by the electric charge particles. It is also known as Coulomb's force. The Coulomb attraction would be named after Charles-Augustin de Coulomb, a French scientist. One of nature's four basic forces however is electrostatic force.

In this question we have ,

                 F = Q1 × q₂ ×K / R²

                         K = 9 × 10⁹

From above equation by solving his we get value of electrostatic force is 63 Nm²/C²

An electric field (sometimes E-field) is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.It also refers to the physical field for a system of charged particles

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Because potential energy increases with separation distance, Jamal should move the toy car with the greatest separation distance.

The term potential energy is defined as stored energy that depends upon the relative position of various parts of a system. Potential energy is energy that cannot be transfer to kinetic energy. It has the capacity to do work but is not presently doing so.

Because magnetic force is inversely proportional to the separating distance between the cars, the magnetic force acting on the vehicles will decrease as he moves the cars away from each other.

Thus, potential energy increases with separation distance, Jamal should move the toy car with the greatest separation distance.

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You are given a set of black coordinate axes  with '(velocity) v (m/s)' on the vertical axis  and 't (s)' on the horizontal axis.

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You will get a set of black coordinate axes with "(velocity) v (m/s)" on the vertical axis and "t (s)" on the horizontal axis.

What is speed?

Speed ​​is the direction in which a body or object is moving. Speed ​​is primarily a scalar quantity. Speed is essentially a vector quantity. The rate of change of distance and the rate of change of displacement are called velocity. Speed corresponds to the specification of speed and direction of movement (e.g. 60 km/h to the north). Velocity is commonly defined as a vector value of velocity and direction of motion. Simply put, speed is how fast something is moving in one direction.

The speed of a car driving north on a freeway and the speed of a rocket launched into space can be measured by velocity.

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The distance traveled by object is 120 m in given time 10 seconds.

If other information is known, a set of four equations called the kinematic equations can be used to predict unknown information about an object's motion.

The equations can be applied to any motion that can be classified as either a constant velocity motion (with an acceleration of 0 m/s/s) or a constant acceleration motion. They are never permitted to be used over any time frame in which the acceleration is changing.

Four variables are present in each of the kinematic equations. The fquations offer a useful method of predicting details about an object's motion.

The kinematic equation for distance is,

[tex]\boxed{\mathrm{ d = (v +v_0) \dfrac{t}{2} }}[/tex]

Where,

[tex]\mathrm{V_0}[/tex] - initial speed = 8 m/s

V - final speed = 16 m/s

t - time = 10 s

Put the values in formula,

[tex]{\mathbf{ {d = (16+9) \dfrac{10}{2} }}[/tex]

[tex]\mathbf{d=120m}[/tex]

Thus, The distance traveled by object is 120 m in given time 10 seconds.

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The magnitude of the average northward velocity is 27 m/s, while the magnitude of the average southbound velocity is 17 m/s. The total journey average speed is 20.25 m/s to the north.

We must determine the weighted average of the northward and southern velocities in order to get the average speed for the whole journey. We may apply the following formula since the automobile drives north for 3/4 of the time and south for 1/4 of the time:

average speed is (3/4) * (27 m/s) + (1/4) * (-17 m/s)

Since the southbound velocity is moving in the opposite direction of the northward velocity, it is given a negative sign.

Calculating the average velocity results in:

Average speed is equal to (3/4) times 27 m/s plus (1/4) times -17 m/s, or 20.25 m/s.

The total journey average speed is 20.25 m/s to the north.

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The Law of Conservation of Energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total amount of energy in a closed system remains constant.

As the object falls to the ground, its potential energy is converted into kinetic energy. The potential energy is determined by the object's mass and its height above the ground. As the object falls, its height decreases and its potential energy decreases, but this decrease in potential energy is compensated by an increase in kinetic energy. The kinetic energy is determined by the object's mass and its velocity. As the object's height decreases and its velocity increases, its kinetic energy increases.

As the object falls, the total amount of energy remains constant. The initial potential energy of 10 J is equal to the final kinetic energy of the object. This is an example of the Law of Conservation of Energy in action. The object's potential energy is transformed into kinetic energy, but the total amount of energy remains the same.

Answer:

Answer is in attached photo.

Explanation:

Solution is in attached photo, take note of the formula:

Force = Mass x Acceleration.

The equation for the system's gravitational potential energy is U = − G * (m2 / R). and G * (m2 / R) is the amount of effort the gravitational force must do to move the particle from the sphere's surface to its centre.

(a) The formula U = - G * (Mm / r), where G is the gravitational constant, M is the mass of the sphere, and m is the mass of the particle, may be used to compute the gravitational potential energy of the system. Here, M = m U = - G * (m2 / R)

(b) The particle's initial potential energy when it is on the sphere's surface is Ui = - G * (m2 / R), and its final potential energy when it is in the sphere's centre is Uf = 0. Work completed equals Uf - Ui work completed equals 0 - (- G * (m2 / R)) work completed equals G * (m2 / R).

G * (m2 / R) represents the amount of effort the gravitational force must do to move a particle from the sphere's surface to its centre.

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Answer:  14,286 kg

Explanation:

Mass and velocity, have a positive correlation to momentum.

The formula to determine momentum is:

Momentum = Mass x Velocity

So, if we want to determine the mass of the object, the formula can be rearranged to look like this:

Momentum/Velocity = Mass

And can be solved by imputing the values given in the question:

Mass = (100 kg*m/s) ÷ (7 m/s)

Mass = 14,286 kg

The water released from the reservoir and passes through turbines to produce electricity.

At the plant level, water flows through a pip also known as a penstock, and then spins the blades in a turbine, which, in turn, spins a generator that ultimately produces electricity.

Hydro turbines, it transform moving water's kinetic energy into mechanical energy, and this mechanical energy is converted into electricity using a hydropower generator. Hydropower turbines contain blades, which spin to produce electricity. Hydro turbines work on Faraday's principles.

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When a turbine's blades are turned by water, electricity is produced and sent to the power plant's users.

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The book has more potential energy because it has a greater mass. Potential energy = mass x gravitational acceleration x height.

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Answer:

The rotation of the earth on its tilted axis is the reason behind the difference in the length of the day and night time in different parts of the earth throughout the year. The annual motion of the Earth is called revolution. Since the path of the Earth is elliptical, the interval between the Earth and the Sun keeps shifting.

Explanation:

q₃ is approximately -7.58 nC. The direction of the net force on 'q₃' is the negative '-' direction. For the net force on 'q₃' to be zero, 'q₃' can be placed at x = -0.079 m or x = -1.881 m

q₃ is approximately -7.58 nC

The direction of the net force on 'q₃' is the negative '-' direction

For the net force on 'q₃' to be zero, 'q₃' can be placed at x = -0.079 m or x = -1.881 m

1) The force, 'F', between two charged spheres is given as follows;

F = K*q1*q2/r2

By substituting the given values, we have;

F NET = 14117n C *K /320

K = 9 × 10⁹ N·m²·C⁻²

q₃ ≈ -7.58 nC

= -7.58 nC

2) Given that the negative charge, 'q₁' (-4.10 nC), is located at x = 0.250 m, which is on the positive, '+' side of the origin, it will repel the negatively charged 'q₃', to the '-' direction. q₃ will also be attracted to the '-' direction by the positively charged 'q₂' which is at -0.320 m on the negative side of the origin

The net force's direction on q₃ will be in the '-' direction

3) For zero net force, we have;

= K* 2.20 n C /R 1 (2)

The distance between the given point charges, r = 0.250 - (-0.320)) = 0.57 m

Let 'r1' represent the distance between 'q1' and 'q3', therefore, the distance between 'q2' and 'q3' is 0.57 - r1

From which we have;

(r₁)²×4.10 = 2.20 × (0.57 - r₁)²

From the above equation, we have;

95,000·r₁²+ 125,400·r₁-35739 = 0

Solving, using a graphing calculator we get;

r₁ ≈ 0.241 or r₁ ≈ -1.561

Where, 'r₁', is measured from 'q₂', therefore, we have;

r₁ = 0.241 + (-0.320) ≈ -0.079 or r₁ = -1.561 + (-0.320) ≈ -1.881

Therefore, the charge 'q₃' can be placed at x = -0.079 or x = -1.881 for the ne force on it to be zero

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Energy must be taken in as heat from the high-temperature reservoir is 1200 J.

The science of thermodynamics examines how heat, work, temperature, and energy are related. The flow of energy from one location to another and from one form to another is broadly what thermodynamics is concerned with.

The efficiency of a heat engine is the ratio of the useful work done by the engine to the total heat energy taken in from the hot reservoir. In this case, the efficiency is 35%. Therefore, the useful work done by the engine is 35% of the total heat energy taken in from the hot reservoir.

If the heat engine does 420 J of useful work, we can use the efficiency formula to find the total heat energy taken in from the hot reservoir:

Total heat energy = (Useful work) / (Efficiency) = 420 J / 0.35 = 1200 J

So, in order for this heat engine to do 420 J of useful work, it must take in 1200 J of energy as heat from the high-temperature reservoir.

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The initial velocity vector of the ball is;= 25·i + 19.6·j.The falling ball's velocity as a function of time is v = -9.8 (m/s2) t j, and its location as a function of time is r = (4.9 m - 12 9.8 (m/s2) t2) j.

The parameters listed are;The ball's flight time was 4 seconds.The ball is caught 100 meters away from the plate in the horizontal direction.

Assuming that "u" stands for the initial velocity, we have;

100 m is equal to u cos(t) = u cos(4s)

u = cos() / 2 = 25 m/s (1)

∴tan() = 1.568/2 = 0.784 = arctan(0.784) 38.096°. 2usin() =

9.8 m/s2 4 s = 39.2 m/s

The ball's velocity vector's direction is 38.096°.

Equation (1) gives us u cos() = 25 m/s.

31.7672787629 m/s is equal to u = 25 m/s/cos()

= 25 m/s/cos(arctan(0.784))

The initial velocity vector's magnitude is u = 31.7672787629 m/s.

The initial velocity's vertical component is equal to u sin() = 31.7672787629 sin(arctan(0.784)).

Since the ball's starting velocity vector is approximately 31.767 m/s in a direction 38.096° above the horizontal, we can calculate the following:

u = ux(i,j) = 25(i,j) + 19.6(j)

= 25·i + 19.6·j

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In an adiabatic process,The initial temperature is 340 K then the final temperature: 95.2K

In an adiabatic process, an ideal gas follows the equation P[tex]V^{y}[/tex] = constant, where y is the ratio of the specific heat at constant pressure to the specific heat at constant volume.

Since the initial volume is V1 and the final volume is V2, we can write:

                      [tex]P_{1} V^{y}[/tex]₁ = P₁[tex]V^{y}[/tex]₂

As the process is adiabatic, no heat is exchanged with the environment, so the internal energy of the gas remains constant.

The internal energy of an ideal gas is , U = 3/2nRT where n is the number of moles, R is the gas constant and T is the temperature in kelvins.

So we can write:

                             3/2nRT₁ = 3/2nRT₂

As the process is adiabatic, the work done by the gas also remains constant. So the work done on the gas is equal to the work done by the gas.

                P( V₂ - V₁) = - P( V₁ - V₂ )

So we can write:

          P₁V₁ = P₂V₂

V₂ = V₁/ 12 P₁V₁ = P₂(V₁ /12) T₂

          = 340 K × 1/12 ( 1.67 -1 )

            = 340 K× ( 1/3.55)

                      = 95.2 K

Now, combining the above equations we can find the final temperature: 95.2K

An ideal gas is a theoretical gas that is composed of a large number of atoms or molecules that are so small compared to the distance between them, that they do not interact with each other except during rare collisions. The properties of an ideal gas are defined by a set of assumptions that include: The gas is composed of a large number of identical particles (atoms or molecules) that have no volume and no interactions except for instantaneous, elastic collisions.

The gas is considered to be a perfect gas, meaning it follows the ideal gas law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvins.

The gas is considered to be a diatomic gas, meaning it follows the adiabatic index , y = 1.67

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The net work that has been done by the object in free fall is -150 J.

We have to note that when an object is said to fall down under the influence of gravity that the object would be acted upon by the acceleration due to gravity.

It should be noted that as the object is falling and the height of the object is decreasing, the value of the gravitational potential energy is also decreasing like wise as the object falls;

Net work done = Final value of energy - Initial value of energy

Net work done = 250J - 400 J

= -150 J

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The shortest chain sling ACB for a movable bin is  1.228 m.

The question is not complete. A similar question is in the attachment. Use the image in a similar question for this problem. Look at the picture. In the system works

Triangle ABC is an isosceles triangle. If ∠ CAB = ∠ CBA = θ.

According to Newton's first law, in the y-axis

∑ F = 0

w - T₁y - T₂y = 0

T₁y + T₂y = 2,100

T₁ sin θ + T₂ sin θ = 2,100

5,000 sin θ + 5,000 sin θ = 2,100

10,000 sin θ = 2,100

sin θ = 2,100 ÷ 10,000

sin θ = 0.21

θ = sin⁻¹ (0.21)

θ = 12.12°

Look at AOC

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The required velocity of the ball when it hits the ground is calculated to be 7.75 m/s.

Mass of the ball = 2 kg

A ball is dropped from a height = 3 m

Velocity = ?

Initial potential energy of the ball Ep = m g h = (2)(10)(3) = 60 J

As the ball reaches the ground, its potential energy becomes zero as it is entirely converted into its kinetic energy Ek.

So, Ek = 60 J

The formula for Ek is said to be 1/2 m v².

Ek = 1/2 m v²

Making v as subject, we have,

v = √(2 Ek/m) = √(2×60/2) = 7.75 m/s

Thus, the velocity of the ball when it hits the ground is 7.75 m/s.

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Answer: D

Explanation:

They are exerting the same amount of force on each side which means that there is no net movement.

Answer:D

Explanation:

they are pushing at the same strength so it will not move.

The wavelength of x-rays that could be produced when the electrons strike a solid is given by Bragg's equation. Mathematically, it is represented as, n λ = 2 d sinθ.

The X-angle ray's of incidence, and angle of scattering, are the same when it strikes a crystal surface. Additionally, constructive interference will happen when the path difference, d, is equal to a whole number of wavelengths, n.

As we require wavelength, let us make it as the subject in the above equation. Then we have, λ = 2 d sinθ/n

where,

d is the distance between atoms' planes

θ is the angle of scattering

n is the path difference

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The mechanical advantage of a pulley is the ratio of the output force to the input force.

For example, if a pulley is used to lift a weight of 100 pounds, and the input force is 10 pounds, then the mechanical advantage is 10:1 (100/10).

This means that for every 10 pounds of input force, the pulley can lift 100 pounds of weight. The mechanical advantage of a pulley is determined by the number of strands of rope that are used in the pulley system. The more strands of rope, the higher the mechanical advantage will be.

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The conservation of charge states that charge cannot be created or destroyed, but can be transferred between objects.

How does the conservation of charge affect the behavior of electric circuits?

The conservation of charge states that charge cannot be created or destroyed, it can only be transferred from one object to another. This principle affects the behavior of electric circuits by ensuring that the total charge in a closed circuit remains constant. This means that the charge flowing into a circuit must equal the charge flowing out of the circuit. If there is an imbalance, the circuit will not function properly.

The conservation of charge also helps to explain the behavior of electric charges in different types of circuits, such as series and parallel circuits.

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The specific heat capacity of the metal can be calculated using the equation: q = mCΔT, where q is the heat transfer, m is the mass of the metal, C is the specific heat capacity, and ΔT is the change in temperature. The heat transfer from the metal to the water can be determined as q = mCΔT = 100 g * C * (24.6 - 95.0) °C. The heat transfer from the water to the metal can be determined as q = mCΔT = 140.0 g * 4.184 J/g°C * (24.6 - 20.0) °C. The specific heat capacity can then be calculated as C = q / (mΔT).

The temperature change of the water and steel is used to determine the unique warmth capacity of the steel by means of calculating the warmth switch between the two materials. The warmth switch between the water and metal may be calculated using the equation: q = mcΔT, where q is the heat transfer, m is the mass of the substance, c is the precise heat capability, and ΔT is the trade in temperature. By means of the usage of this equation for each the water and metal, the heat switch among the 2 materials may be calculated and the specific heat potential of the steel can be determined.

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The specific heat capacity of the metal is 140 J/kg°C.

A metal is a chemical element that is typically characterized by its high electrical conductivity, thermal conductivity, and luster. It is usually a dense, malleable, and ductile material that is a good conductor of heat and electricity. Examples of metals include copper, silver, gold, iron, and aluminum.

The specific heat capacity of the metal can be calculated using the formula:

ΔQ = mCΔT

where ΔQ is the heat transferred, m is the mass of the metal, C is the specific heat capacity, and ΔT is the change in temperature.

First, find the heat transferred:

ΔQ = mCΔT = (140.0 g + 100.0 g)(24.6 °C - 20.0 °C) = 240.0 g * 4.6 °C = 1101.6 J

Next, find the heat absorbed by the metal:

ΔQ = mCΔT = 100.0 g * (24.6 °C - 95.0 °C) = -9700 J

Finally, solve for the specific heat capacity:

C = ΔQ / mΔT = -9700 J / 100.0 g * (24.6 °C - 95.0 °C) = -9700 J / 100.0 g * -75.4 °C = 140 J/kg°C

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The velocity of an object can be calculated using the equation:

velocity = momentum / mass

Given the mass of the object is 3 kg and the forward momentum is 1050 kg-m/sec, we can substitute these values into the equation:

velocity = 1050 kg-m/sec / 3 kg

velocity = 350 m/sec

Therefore, the velocity of the object is 350 m/sec.

The velocity of an object is directly proportional to its momentum. As the velocity of an object increases, so does its momentum. This relationship is described by the equation p = m * v, where p is the momentum, m is the mass of the object and v is its velocity. This equation shows that the momentum of an object is directly proportional to the velocity of the object. This means that if the velocity of an object is doubled, its momentum will also double. Conversely, if the velocity of an object is halved, its momentum will also be halved. Also, If the direction of motion of an object changes it also changes the direction of momentum but the magnitude of momentum will remain the same.

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An object whose mass is 3 kg is fired from a cannon, giving it a forward momentum has a velocity of  350 m/sec.

The velocity of an object can be calculated using the equation:

                          velocity = momentum / mass

Given the mass of the object is 3 kg and the forward momentum is 1050 kg-m/sec, we can substitute these values into the equation:

                      velocity = 1050 kg-m/sec / 3 kg

                       velocity = 350 m/sec

Therefore, the velocity of the object is 350 m/sec.

The velocity of an object is directly proportional to its momentum. As the velocity of an object increases, so does its momentum. This relationship is described by the equation p = m * v, where p is the momentum, m is the mass of the object and v is its velocity. This equation shows that the momentum of an object is directly proportional to the velocity of the object. This means that if the velocity of an object is doubled, its momentum will also double.

Conversely, if the velocity of an object is halved, its momentum will also be halved. Also, If the direction of motion of an object changes it also changes the direction of momentum but the magnitude of momentum will remain the same.

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Answer:

I do not know this one sorry

Fetch: A region of an ocean or lake's surface where wind blows in a direction that is basically continuous, producing waves.

An energetic disturbance called a wave moves from one place to another. The only thing that changes when a wave moves is energy, not matter. The substance in which a wave passes is known as the medium. Until it lands in the same place, that medium frequently swings back and forth.

But amplitude, wavelength, energy, and speed are characteristics that all waves share. How much a wave's medium moves is described by its amplitude. Wavelength and frequency both refer to the size and frequency of waves. A wave's speed is its rate of movement.

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