During super bowl weekend, the NFL sets up a receiver on a stationary hovercraft. A
. 257 kg football is thrown at 9. 76 m/s to a receiver and hovercraft with a total mass of


98. 6 kg. When the ball is caught what is the new speed of the system?


Do NOT put in units or it will be marked wrong! The answer's value only! Please round


each answer to 3 places,


MaVa + MbVb = (Ma+b)(Va+b)

In a 4.0-m diameter tank, initial velocity from the 10-cm orifice is 9.92 m/s, taking about 3.57 hours to empty. If draining through a 100-m pipe, initial velocity is 19.02 m/s, taking approximately 11.32 minutes to empty.

(a) To calculate the initial velocity from the tank and the time required to empty the tank, we can use Torricelli's law and the principles of fluid dynamics.

Torricelli's law states that the velocity of fluid flowing out of an orifice is given by the equation v = √(2gh), where v is the velocity, g is the acceleration due to gravity, and h is the height of the fluid above the orifice.

Given that the tank is initially filled with water 5 m above the center of the 10 cm (0.1 m) diameter orifice, the height h can be calculated as 5 m + (0.1 m/2) = 5.05 m.

Using g = 9.81 m/s², the initial velocity v is given by v = √(2 * 9.81 * 5.05) = 9.92 m/s.

To calculate the time required to empty the tank, we can use the equation t = V/A, where t is the time, V is the volume of the tank, and A is the cross-sectional area of the orifice.

The volume of the tank can be calculated using V = (π/4) * h * D², where D is the diameter of the tank.

Using D = 4.0 m, the volume V is given by V = (π/4) * 5.05 * 4.0² = 100.71 m³.

The cross-sectional area of the orifice can be calculated using A = (π/4) * d², where d is the diameter of the orifice.

Using d = 0.1 m, the cross-sectional area A is given by A = (π/4) * 0.1² = 0.00785 m².

Thus, the time required to empty the tank is t = 100.71 m³ / 0.00785 m² ≈ 12848 seconds (approximately 3.57 hours).

(b) If the orifice drains into a 100 m long horizontal pipe, we need to consider the frictional losses in the pipe.

To calculate the initial velocity and the time required to empty the tank, we can use the Darcy-Weisbach equation for head loss.

The head loss due to friction in the pipe is given by hL = (f * L * v²) / (2 * g * D), where hL is the head loss, f is the friction factor, L is the length of the pipe, v is the velocity, g is the acceleration due to gravity, and D is the diameter of the pipe.

Given that the friction factor f = 0.0050, the length of the pipe L = 100 m, and the diameter of the pipe D = 0.1 m, we can substitute these values into the equation.

Using the initial velocity v calculated in part (a) as v = 9.92 m/s, the head loss hL is given by hL = (0.0050 * 100 * 9.92²) / (2 * 9.81 * 0.1) ≈ 25.32 m.

The effective head driving the flow is the initial height of the tank minus the head loss, which is 5.05 m - 25.32 m ≈ -20.27 m. The negative sign indicates that the flow is going uphill.

To calculate the time required to empty the tank, we can use the equation t = V / (A * v), where V is the volume of the tank, A is the cross-sectional area of the orifice, and v is the initial velocity considering the head loss.

Using the same values for V and A as in part (a), and v = √(2g * |h_eff|) = √(2 * 9.81 * 20.27) ≈ 19.02 m/s, the time required to empty the tank is t = 100.71 m³ / (0.00785 m² * 19.02 m/s) ≈ 679 seconds (approximately 11.32 minutes).

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Answer:

It’s the atomic clock

Explanation:

Units 1 ("rad/s"), 2 ("rev/s^2"), and 4 ("degrees/s^2") are appropriate for describing rotational acceleration. However, unit 3 ("rev/m^2") is not suitable as it combines angular displacement with area and does not represent rotational acceleration.

Out of the four listed units, the third unit, "rev/m^2," would not be appropriate for describing rotational acceleration.

1) "rad/s" (radians per second) is an appropriate unit of rotational acceleration. Radians are a standard unit for measuring angles, and when divided by time, it represents the rate of change of angular velocity or rotational acceleration.

2) "rev/s^2" (revolutions per second squared) is also an appropriate unit of rotational acceleration. It represents the rate of change of angular velocity in terms of revolutions per second squared.

4) "degrees/s^2" (degrees per second squared) is another valid unit of rotational acceleration. Although radians are generally preferred over degrees in scientific calculations, degrees can still be used to express rotational acceleration.

However, the third unit, "rev/m^2" (revolutions per square meter), is not appropriate for describing rotational acceleration. It does not represent a rate of change of angular velocity or rotational acceleration. Instead, it combines a unit of angular displacement (revolutions) with a unit of area (square meter), which is unrelated to rotational acceleration.

In summary, the first three units ("rad/s," "rev/s^2," and "degrees/s^2") are appropriate for describing rotational acceleration, while the fourth unit ("rev/m^2") is not.

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A. When the amplitude of a simple harmonic oscillator is doubled, the maximum speed of the object is also doubled.  Therefore, option (c) is the correct answer

B. The answer is (b) a maximum.

C. The period of a simple pendulum depends on its length, thus the answer is (b) length.

D. The clock will run fast when the elevator is accelerating upward, thus the answer is (c) accelerating upward. The answer to question 26 is (a) a sound wave.

Simple Harmonic Oscillator:

The Simple Harmonic Oscillator is defined as the type of oscillatory motion in which the acceleration of the body is directly proportional to its displacement from its equilibrium position and is always directed towards it.

When the amplitude of a simple harmonic oscillator is doubled, the maximum speed of the object is also doubled. The frequency, period, and total energy of the system remain unchanged. Therefore, option (c) is the correct answer

The maximum speed of an object undergoing simple harmonic motion is when the displacement is maximum. The answer is (b) a maximum.

The period of a simple pendulum depends on its length, thus the answer is (b) length.

A pendulum clock is in an elevator. The clock will run fast when the elevator is accelerating upward, thus the answer is (c) accelerating upward. The answer to question 26 is (a) a sound wave.

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Answer:

The answer is F

Explanation:

F stands for Fluorine, which is an element and consists of one atom.

Answer:

f

Explanation:

i took quiz

According to the given figure(See Picture),  some external source, such as a turbine, windmill, or water wheel, supplies the initial mechanical energy for a simple generator.

A type of energy known as mechanical energy is related to an object's location and motion. It is the total of an object's kinetic energy and potential energy. The energy that an object has as a result of its motion is known as kinetic energy, whereas the energy it has as a result of its location or other state is known as potential energy. Several natural and industrial systems, including engines, turbines, and machines, depend heavily on mechanical energy. A fundamental tenet of physics, the conservation of mechanical energy is frequently applied to understand and forecast the behaviour of physical systems. Ultimately, the study and comprehension of the physical world around us depend heavily on the concept of mechanical energy.

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What provides the original mechanical energy for the simple generator in the figure(See Picture)?

The two things that must exist for an electric current to be produced are:

An electric potential between two bodies and a conducting path joining the bodies.

This comes from the fact that when there is a potential difference there is an electrical field and hence a force that makes some free charges to move in the conductor. For this reason, there's an electrical current.

Answer: An electric potential between two bodies and a conducting path joining the bodies

The  radial and transverse components of the acceleration of the collar at A is 0. The acceleration of the collar relative to the rod at A is 0. The transverse component of the velocity of the collar at B is  16r,

The collar's motion can be analyzed by using the radial and transverse components of the acceleration and velocity.

(a) The radial and transverse components of the acceleration of the collar at A are given by:
ar = θ² x r = (16 rad/s)² * 0 = 0
at = r x θ  = 0 x 16 = 0

(b) The acceleration of the collar relative to the rod at A is given by:
a rel = a collar - a rod = 0 - 0 = 0

The acceleration of the collar relative to the rod at A is 0.

(c) The transverse component of the velocity of the collar at B is given by:
vt = r x θ  = r x16

Therefore, the transverse component of the velocity of the collar at B is 16r.

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Answer:

Explanation:

Main Answer:

The equation acceleration = v/time can be proven using the fundamental definitions of acceleration, velocity, and time. Acceleration is defined as the rate of change of velocity, and velocity is the rate of change of displacement with respect to time. Let's consider an object moving with an initial velocity v0 and final velocity v in a time interval t.

Explanation:

The change in velocity, Δv, can be calculated as the final velocity minus the initial velocity, Δv = v - v0. Similarly, the change in time, Δt, is the final time minus the initial time, Δt = t - t0.

By substituting these values into the equation for acceleration, we have:

acceleration = Δv/Δt

Now, substituting Δv = v - v0 and Δt = t - t0, we get:

acceleration = (v - v0)/(t - t0)

Since v0 and t0 represent the initial velocity and time, respectively, we can rewrite the equation as:

acceleration = (v - v0)/t

By rearranging the equation, we find:

acceleration = v/t

Thus, we have proved that acceleration is equal to v/time.

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Answer:

Key Takeaways: Metallic Character​​ These properties include metallic luster, formation of cations, high electrical and thermal conductivity, and ...

Explanation:

The atoms with the strongest metallic properties on the periodic table are found in upper left corner of periodic table. The correct option is A.

The upper left corner of the periodic table is typically where one can find the atoms with the strongest metallic properties. Alkali metals and alkaline earth metals which are renowned for their high electrical conductivity, luster and malleability are found in this region. These elements are easy to lose and easily form positive ions because they have few valence electrons in their outermost energy levels.

Due to growing atomic size and declining electronegativity, metallic properties tend to become more noticeable as you move down and to the left in this region. On the other hand nonmetals and metalloids with stronger nonmetallic properties such as high electronegativity and poor electrical conductivity make up the lower right region.

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The wavelength of the electromagnetic wave produced by a cell phone with a frequency of 900 MHz is approximately 0.33 meters (or 33 centimeters).

The relationship between wavelength (λ), frequency (f), and the speed of light (c) can be expressed as λ = c/f. In this case, the frequency is given as 900 MHz, which is equivalent to 900 × 10⁶ Hz. The speed of light (c) is approximately 3 × 10⁸ meters per second.

Substituting the values into the equation, we get λ = (3 × 10⁸ m/s) / (900 × 10⁶ Hz), which simplifies to λ ≈ 0.33 meters (or 33 centimeters).

Therefore, the wavelength of the electromagnetic wave produced by the cell phone is approximately 0.33 meters, corresponding to the frequency of 900 mhz.

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Given the production rules below, is the plus operator (+) left-associative, right-associative, or neither a parse tree of it is in the explanation part below.

In the provided production rules, the addition operator (+) is left-associative.

Consider the statement "1 + 2 + 3" to show this.

This sentence's parse tree is as follows:

The addition operator's left-associativity is shown in this parse tree. The operands 1 and 2 are combined by the leftmost plus operator, and the resultant total is merged with the operand 3 by another plus operator. This depicts the assessment of the statement "1 + 2 + 3" from left to right.

If the plus operator were right-associative, the parse tree would be different, with the rightmost plus operator first combining operands 2 and 3, and then combining the resultant sum with operand 1.

Thus, the parse tree is attached below as image.

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If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

To find the mass of ore, the given values are,

The radius of the lead sphere is r = 7.0 cm,

The lead can be extracted with, η = 92.5% = 0.925 efficiency.

Density is the substance's mass per unit of volume.

We know the density of lead as,

⇒ p = 11.4 g/cm³ .

The volume of the lead sphere is,

V = 4/3πr³

   = 4/3π(7)³

V = 1436.7 cm³.

Mass of the lead present in the lead sphere is,

m = p . V

    = 11.4  × 1436.7

    = 16379 g

m = 16.379 kg

From the expression of efficiency, we calculate the mass of the ore,

η = Mass of lead obtained / Mass of the ore to be taken

0.925 = 16.379 kg / Mass of the ore to be taken

Mass of the ore to be taken = 17.707 kg

If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

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Answer:

1609.3

Explanation:

The electric field in the conductor is approximately 0.2245 volts per meter.

To determine the electric field in the conductor, we can use the relationship between the drift velocity (v_d) of free electrons and the electric field (E) in a conductor, which is given by:

v_d = μ × E

where μ is the electron mobility, which is a characteristic property of the material.

Given:

Magnitude of the drift velocity (v_d) = 8.98 × 10⁻⁴ m/s

The value of μ for copper is approximately 4.0 × 10⁻³ m²/(V·s) (meters squared per volt-second).

We can rearrange the equation to solve for the electric field (E):

E = v_d / μ

Substituting the given values:

E = (8.98 × 10⁻⁴ m/s) / (4.0 × 10⁻³ m²/(V·s))

Calculating the result:

E ≈ 0.2245 V/m

Therefore, the electric field in the conductor is approximately 0.2245 volts per meter.

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Answer:

Soil erosion is the single most important environmental degradation problem in the developing world. Despite the plethora of literature that exists on the incidence, causes and impacts of soil erosion, a concrete understanding of this complex problem is lacking. This paper examines the soil erosion problem in developing countries in order to understand the complex inter-relationships between population pressure, poverty and environmental-institutional dynamics. Two recent theoretical developments, namely Boserup's theory on population pressure, poverty and soil erosion and Lopez's theory on environmental and institutional dynamics have been reviewed. The analysis reveals that negative impacts of technical change, inappropriate government policies and poor institutions are largely responsible for the continued soil erosion in developing countries. On the other hand, potential for market-based approaches to mitigate the problem is also low due to the negative externalities involved. A deeper appreciation of institutional and environmental dynamics and policy reforms to strengthen weak institutions may help mitigate the problem.

hope it's right kiddo

The molarity of the Na3PO4 solution is 1.0 M.

First, we need to calculate the number of moles of Na3PO4 in the solution:
moles of Na3PO4 = mass of solute / molar mass of Na3PO4
moles of Na3PO4 = 82g / 164g/mol
moles of Na3PO4 = 0.5 mol

Next, we can use the definition of molarity to find the molarity of the solution:
molarity = moles of solute / volume of solution (in liters)
molarity = 0.5 mol / 0.5 L
molarity = 1.0 M

Therefore, molarity is 1.0 M. i.e., option D.

To find the molarity of the aqueous solution of Na3PO4, follow these steps:
1. Calculate the moles of Na3PO4: moles = mass / molar mass
moles = 82g / 164g/mol = 0.5 mol

2. Convert the volume of the solution to liters:
volume = 500 mL * (1 L / 1000 mL) = 0.5 L

3. Calculate the molarity:
molarity = moles / volume
molarity = 0.5 mol / 0.5 L = 1.0 M

The molarity of the Na3PO4 solution is 1.0 M, which corresponds to option D.

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Answer:

89-95 lbs :p

Explanation:

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Work done on the jet by the catapult is 5.40x10^7 J, and Force exerted by the catapult is 6.00x10^5 N.

By using the work-energy principle, we can calculate the work done on the jet and the force exerted by the catapult, given information about  initial and final kinetic energies and  distance traveled. In this case, initial kinetic energy of the jet is zero, and final kinetic energy is 5.40x10^7 J.

\(Work = Kinetic\ Energy\ final - Kinetic\ Energy\ initial\\Work = 5.40 * 10^7 J - 0 J\\Work = 5.40 * 10^7 J\)

Since the work done on the jet is equal to the force exerted by the catapult times the distance it moves, we can find the force:

\(Work = Force * Distance\\5.40 * 10^7 J = Force * 90.0 m\\Force = 6.00 * 10^5 N\\)

Therefore, the work done on the jet by the catapult is 5.40x10^7 J, and the force exerted by the catapult is 6.00x10^5 N.

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If you plug an electric toaster rated at 110V into a 220V outlet, the current drawn by the toaster will increase significantly. This is due to Ohm's Law, which states that the current flowing through a conductor is directly proportional to the voltage applied and inversely proportional to the resistance of the conductor.

The toaster is designed to operate at 110V, which means its internal components, such as the heating elements, are designed to handle that voltage. When it is plugged into a 220V outlet, the voltage across the toaster doubles. As a result, the current drawn by the toaster will also double, assuming the resistance of the toaster remains constant.

Since the power consumed by the toaster is the product of voltage and current (P = VI), doubling the voltage while maintaining the same resistance will result in double the power consumption. This increase in power can cause the heating elements to overheat and potentially burn out or cause damage to the toaster.

Therefore, it is crucial to match the rated voltage of electrical appliances with the voltage supplied by the outlet to prevent potential damage or hazards.

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The correct option B. opposite the direction of the displacement from equilibrium, is the direction of the restoring force.

Mechanical waves that move through a solid, liquid, or gas with a wave speed that is influenced by the elastic and inertial characteristics of that medium.

Thus, the force that returns an object to its equilibrium position is known as the restoring force; it is denoted by a negative sign since its direction of action is the opposite of that of the displacement.

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Take into account that both John and Jim on the swing set, can be considered as independent pendulums.

You have that the period of a pendulum is given by:

where,

l: length of the pendulum

g: gravitational acceleration constant.

As you can notice, the period of oscillation (and then the frequency) of a pendulum does not depend of the angular amplitud of oscillation. Moreover, take into account that the period of oscillation determines the time each John and Jim take to reach the bottom.

Hence, you can conclude:

Both will reach the equilibrium position simultaneously because the frequency doesn't depend on the amplitude.

The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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The speed of the moving train is approximately 33.5 m/s.

The beat frequency is given by the difference in frequency between the two horns, which is equal to the Doppler shift in frequency due to the motion of the moving train. Using the formula for the Doppler effect, we can solve for the speed of the train:

\(f_b = f_s\dfrac{(v + v_o)}{(v + v_s)}\)

where \(f_b\) is the beat frequency, \(f_s\) is the horn frequency, v is the speed of sound, \(v_o\) is the observer's speed, and \(v_s\) is the speed of the source.

We know that \(f_s\) = 410 Hz and \(f_b\) = 35 Hz. The speed of sound in air at standard temperature and pressure is approximately 343 m/s. Since the observer is stationary, \(v_o\) = 0.

Solving for \(v_s\), we get:

\(v_s = \dfrac{(f_s + f_b)}{f_s - 1} \times v\)

\(v_s\) = ((410 Hz + 35 Hz) / 410 Hz - 1) * 343 m/s

\(v_s\) = 33.5 m/s

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Answer:

FeCl2 has a high melting point.

Explanation:

Answer:

.92 T

Explanation:

This is just a plug-and-chug question.

Here is the formula: B = uni

u = vacuum permeability = 4pi * 10^-7 this is a given constant

n = turns per meter = 1040/ (4.4*10^-2)

i = current = 31 A also given by the problem

so B = .92 T

The unit of the magnetic field is Tesla ("T")

The gradient of the line is equal to c/m

The gradient of the line on the graph represents the change in temperature T per unit change in thermal energy Q. Mathematically, we can express this as:

gradient = ΔT / ΔQ

We know that the specific heat capacity c of the block is defined as the amount of thermal energy required to raise the temperature of the block by one unit, divided by the mass of the block. Mathematically, we can express this as:

c = ΔQ / (mΔT)

Rearranging this equation, we get:

ΔQ / ΔT = c/m

Comparing this equation with the equation for the gradient, we can see that the gradient is equal to c/m. Therefore, the answer is (A) c/m.

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The height of the building using second equation of motion is 35.721 m

What is the second equation of motion?

In kinematics, equations of motion are referred to as the fundamental principles of an object's motion, including velocity, location, and acceleration that occur at variable time intervals. These three motion equations control motion in all three dimensions of an item.

Second equation of motion: s = ut +  a(t^2)/2

where,

s = displacement

u = initial velocity

v = final velocity

a = acceleration

t = time of motion

Given, a = 9.8 m/s/s

           t = 2.7 s

Using this equation we find the height of the building,

s = ut +  a(t^2)/2

  = 0 + 9.8 x 2.7 x 2.7/2

  = 71.442/2

  = 35.721 m

Hence, the height of the building is 35.721 m

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