part 1 of 2
A shell is fired from the ground with an initial speed of 1.70 \times 10³ m / s (approximately five times the speed of sound) at an initial angle of 52.0° to the horizontal.
The acceleration of gravity is 9.81 m /s²
a) Neglecting air resistance, find the shell's horizontal range.
Answer in units of m
answer in units of m
part 2 of 2
b) How long is the shell in motion?
Answer in units of s
Answer in units of s

Currently, the information is as follows: weight (lb) (lb) mother/1000 empty weight 74.9 pound-inches.

In the International System of Units (SI), the newton is used as the unit of measurement for force, which is used to quantify weight. On the surface of the Earth, a one kilogram object weighs around 9.8 newtons, but the weight of the same thing on the Moon is only about one-sixth as great.

All things near Earth are constantly under the influence of weight. All things are subject to the gravitational attraction of the Earth, which pushes them all toward its core.

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The speed of the spring from its initial position is 0.8 m/s.

The speed of the spring after it descended from the given position is calculated by applying the principle of conservation of energy.

K.E = U

¹/₂mv² = ¹/₂kx²

mv² = kx²

v² = kx² / m

v = √ ( kx² / m )

where;

The speed of the spring after descending the given distance is calculated as;

v = √ ( 850 x 0.049² / 3.2 )

v = 0.8 m/s

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(a) The reading when the elevator is moving upward with a constant speed of 9.0 m/s is 40 N.

(b) The reading when the elevator is moving upward with a speed of 9.0 m/s while decelerating at a rate of 1.1 m/s² is 35.11 N.

What is acceleration?

The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. In vector quantities, accelerations exist (in that they have magnitude and direction).

The direction of the net force that is acting on an object determines its acceleration.

According to the given question:

Balance force ( W ) = 40 N

a)  moving upward with constant velocity (V ) = 9 m/s.

The reading will not change since it is moving with constant velocity

W = 40 N

b) Moving upward with V = 9 m/s and decelerating at the rate of

(a ) = 1.1 m /s²

The net force ( F ) = W - ma

where m = W/g = 40/9 = 4.45 kg

F = 40 - 4.45 * 1.1 = 35.11 N

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A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass.

The center of mass for straightforward stiff objects with homogeneous density is found at the centroid. The location where the distribution of mass is constant in all directions called the center of mass.

speed of the gymnast = 2.80 m/s

using the second equation of motion,

s = u t + 1/2 a t ^2

the position at time, t = 0.100 sec

s = (2.80) (0.100) + 1/2 (-9.8 m/s^2) (0.100)^2

s = 0.231 m.

the position at time, t = 0.200 sec

s = 0.364 m.

the position at time, t = 0.300 sec

s = 0.399 m.

the position at time, t = 0.500 sec

s = 0.175 m.

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Capacitance is a direct issue with alternating current. The amount of power that may be sent across a line and the minimum distance between lines are both constrained by capacitance between parallel lines.

When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they may perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

The difference in electrical energy between two circuit components is known as voltage. It is measured in volts and is measurable with a voltmeter. The current increases as the voltage grows. Higher electrical voltage and current are required for large electrical appliances.

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Inside this services and products (G&S) financial instrument, the DD curve depicts the link between variations through one exogenous construct and one regressor.

The marginal revenue generated by using one more unit of a product is known as the marginal product of labor (MRP). MRP is used to calculate the ideal resource level while also making crucial decisions about the company's output. The MRP makes the assumption that expenses for other components won't change.

With increased production, a commodity's marginal usefulness decreases. As a result, when there is a greater supply, prices would decrease and demand will rise. Therefore, when the price is lower, consumers would desire fewer things. The aggregate supply slopes downward for this reason.

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The key idea is that time and power are inversely related to each other for a given quantity of work. A more powerful engine should be able to complete the same amount of work faster, according to the power equation.

The rate of doing work is known as power. It is the same as the amount of energy used up in a given amount of time. The joule per second (J/s), or SI system, is the unit of power.

Work may be positive or negative; if it has a component in the same direction as the object's displacement, it is positive work.

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They travel a horizontal distance of 4.17 m from the exit point before hitting the water.

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.

height of the slid: h = 3.1 m

horizontal movement above swimming pool: s = 1.4 m

Let the horizonal speed of the people at the end of the  water slide= v

Using energy conservation

mgh = 1/2 mv²

v = √(2gh)

Again time taken for falling s = 1.4 m under gravitation:

t = √(2s/g)

Hence, the horizontal distance  travelled = speed × time

= √(2gh)×√(2s/g)

= √(4hs)

= √(4 × 3.1 × 1.4)

= 4.17 m.

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''If a football quarterback runs into and tackles another player by grabbing onto them'' is Elastic collision. A closed system is a rolling oil drum across a smooth, frictionless marble floor.

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According to the law of conservation of momentum, the magnitude of the recoil velocity of the machine is equal to the magnitude of the initial velocity of the baseball, since the total momentum of the system (the machine and the baseball) remains constant. In this case, the magnitude of the initial velocity of the baseball is 40.8 m/s, so the magnitude of the recoil velocity of the machine is also 40.8 m/s. Answer: \boxed{40.8}.

When a 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m with a  frictional force then the coefficient of kinetic friction between A and B is 9.9m/s.

The frictional force acting between two moving objects is termed as Kinetic friction.

Given:

Let v represent the speed of the box at point A, x represent the distance the box slides down the slope (without friction), and represent the angle of the incline.

Remember that v = ultimate speed, therefore v 2 - v02 = 2 an x

beginning speed being

A=acceleration and X=displacement

While moving up the slope, the box begins at rest (v0 = 0) and moves a distance x with an acceleration of a to reach a speed v.

F = m g sin() = m a, where m = 9.0 kg and g = 9.8 m/s2, and a = g sin().

Using a little trigonometry, write the distance x in terms of :

x = (5.0 m) / sin(x), where sin(x) = (5.0 m)

v, enter the following into the formula above:

= 2 g sin(5.0 m) / sin(5.0 m)

10.0 m) g v

= 9.9 m/s

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Answer:

One true statement about the Wechsler tests is that they use a number of subtests to measure both verbal and nonverbal intelligence. The Wechsler Adult Intelligence Scale (WAIS) and the Wechsler Intelligence Scale for Children (WISC) are among the most commonly used intelligence tests in the world. These tests are designed to assess an individual's cognitive abilities, including their ability to think abstractly, solve problems, and understand and use language. The tests use a variety of subtests to measure different aspects of intelligence, including verbal comprehension, perceptual reasoning, working memory, and processing speed. These subtests are combined to produce a full-scale IQ score, which provides an overall measure of an individual's cognitive ability.

Therefore, only half of the wave fits since it is evenly divided and a whole crest fits on the string; the longest wavelength standing-wave pattern which can fit on this guitar has a wavelength of 1 = 120 cm.

The distance of two wave crests is known as the wavelength, and it also applies to troughs. The amount of vibrations that travel across a certain area in one second is measured in cycles each second, or frequency.

The wavelength is calculated by calculating the distance between two identical positions on adjacent waves. The distance of one compressive to the next or from one conformational to the subsequent is measured in order to calculate the wavelength of such a longitudinal wave.

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The magnitude of the gravitational force exerted by earth on the moon will be equal to  1.85 × 10⁵ N.

The fundamental force of attraction operating on all matter is recognized as gravity, also spelled gravity, in mechanics. It has no impact on identifying the interior properties of common matter because it is the weakest force known to exist in nature.

The formation and growth of planets, galaxies, and the universe are all under the influence of this long-range, cosmic force, which further determines the trajectories of objects throughout the universe and the entire universe.

As per the given information in the question,

Mass of earth, M₁ =  5.97 × 10²⁴ kg

Mass of moon, M₂ = 7.35 x 10²² kg

Distance between moon from center of earth, r = 3.84 X 10⁵ km

G = 6.67×10¹¹ Nm² / kg²​

Use the formula of force,

F = GM1M2 / r²

F = [(6.67×10¹¹) (5.97 × 10²⁴)(7.35 x 10²²)]/( 3.84 X 10⁵)²

F = 1.85 × 10⁵ N

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Her average rotational acceleration is equal to the board's average external torque over her, which is Nm234.16 Nm, or 28.18 rad/s.

An object rotating experiences a change of angular velocity per unit of time, which is quantified as angular acceleration (also known as rotational acceleration). It is a vector quantity that has two strongly outlined directions or senses and a magnitude component.

Given: Initial angular speed w, = 0 rad; Initial and final angular speeds cf, = 6–20 rad/s lime

Rotational inerlia I (= 12 leg m° at time t = 220 x163 5 Rotational angulas acceleration wU = wo tat 6.20 = 0 + xx 220 x103 6.20 = = 0.02918 x10 220 x103 a = 28.18 rad/s -> Quality varies torque N= IX 12x28.18 234.16 Nm

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The magnitude of the magnetic field at the point of the proton moving in the negative direction is equal to  18.39 × 10⁻¹⁵ T.

The magnetic force direction that is experienced by the proton moving in the negative direction is equal to  4.71 x 10⁻²⁸ N.

The magnitude of the magnetic field at distance 'r' at the point of the proton moving in the negative direction is determined as follows;

F = qvB = (kq²)/r²

qvB = kq²/r²

B = kq/vr²

where, k is the coulomb's constant, r is the distance between the protons, q is the magnitude of the charge of the protons, and v is the speed of the proton.

Given the charge n the proton, q = 1.602 x 10⁻¹⁹C

The speed of the proton, v = 1.6 x 10⁵ m/s

B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.6 x 10⁵ m/s x 0.7 x 0.7)

B = 18.39 × 10⁻¹⁵ T

The magnetic force experienced by the proton in the negative direction is calculated as follows;

F = qvB

F = 1.602 x 10⁻¹⁹ x 1.6 x  10⁵ x 18.39 × 10⁻¹⁵ T

F = 47.1 x 10⁻²⁹ N

F = 4.71 x 10⁻²⁸ N

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Beams that bounce off a surface and continue to travel through that same medium are said to be reflected. However, because of this The refracted beams are 3, 5, and the reflected beams are 2, 4, and 2.

Cogitate, deliberate, reason, conjecture, and think are some typical synonyms of reflect. While each of these phrases means "to utilize one's skills of imagination, judgment, or inference," "reflect" denotes thoughtful deliberation about a memory.

To contemplate something thoroughly and deeply I must think for a while before making a choice. Think about or consider something She was given some alone time to consider the effects of her choice. show that... The interview had gone well, he thought as he was driving home.

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Answer:

False

Explanation:

This can be proved through the simple force formula, [tex]\displaystyle{\sum \vec F = m\vec a }[/tex]. [tex]\displaystyle{\sum \vec F}[/tex] stands for net force, m is mass and [tex]\displaystyle{\vec a}[/tex] is acceleration.

As you see, force is equal to mass times acceleration. If we substitute mass = 9.0 kg and acceleration = 3 m/s² then we will have:

[tex]\displaystyle{\sum \vec F = 9.0 \, \text{kg} \, \times \, 3 \, \text{m/s}^2}[/tex]

This will result:

[tex]\displaystyle{\sum \vec F = 27 \, \text{kg}\cdot \text{m/s}^2}\\\\\displaystyle{\sum \vec F = 27\, N}[/tex]

Therefore, the force acting on the object should equal 27 N, not 3 N.

Answer:

The force applied on the string is 0.25 N and the Young's modulus of the string is 10 N/m

Explanation:

The force applied on the string can be calculated using the equation:

Force = (change in length * Young's modulus) / original length

The Young's modulus of the string can be calculated using the equation:

Young's modulus = (Force * original length) / change in length

Plugging in the given values:

Force = (2.5 cm * Young's modulus) / 2 m

= (0.025 m * Young's modulus) / 2 m

= 0.025 * Young's modulus

= 0.25 (given)

= 0.25 N

Young's modulus = (0.25 N * 2 m) / 0.025 m

= 10 N/m

The maximum theoretical efficiency of this power plant is 7.9

A power plant , also referred to as a generating station or generating plant, is described as an industrial facility for the generation of electric power. Power plants are generally connected to an electrical grid.

The cold temperature =

5°C = 278K

Hot temperature =

28 ° = 273 + 28 K

28° = 303 K

n(efficiency) = 1- Tc/ Th

n(efficiency) = 1- 278/301

n(efficiency) = 1- 0.9175

(efficiency) = 0.082 x 100

n(efficiency) = 8.2 %

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Complete question =

An experimental power plant at the Natural Energy Laboratory of Hawaii generates electricity from the temperature gradient of the ocean. The surface and deep-water temperatures are 28 ∘C and 5 ∘C, respectively. What is the maximum theoretical efficiency of this power plant?

Answer:

B

Explanation:

W = f * d

   = mg * d

   = 40(9.81)(10) =~4000 J

It struck him with 60 W of power. when a 10 kg rock hits a guy after falling from a height of 18 m and landing on him after around 3 s.

Power is the rate of production of work. P=Wt. The watt (W), which is equal to 1 joule per second (1J/s), is the SI unit for power. Power is a measure of how quickly energy is used up since power is the transfer of energy. An example would be a 60-W light bulb, which uses 60 J of energy every second.

Power= mass. velocity + power=10*18/3*10 = 60 W,

resulting in the power of a falling rock being 60W.

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Answer:

The answer is the question 6.64*10-24=39.4

When the leg it is in has the least resistance, the lightbulb may glow brightest. Because inductive capacitance is inversely proportional to angular frequency, this occurs at low frequencies.

Electrons moving through a conductors, for example a metal wire, create an electric current. The ions inside the metal may be struck by the speeding electrons. Resistance results this from, making it harder for the current to flow.

To better understand resistance, imagine how difficult it would be for a person to move from one shop to the next in a crowded market. This circumstance is undoubtedly comparable to an atom trying to get through a wire.

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Answer:

180 J is the answer to how much work is done when a mass of 3kg is lifted vertically through 6 m

To calculate the amount of work done when a mass is lifted vertically through a certain distance, we can use the formula:

Work = Force * Distance

In this case, the mass is 3kg, which weighs 30N, and it is lifted vertically through a distance of 6m. Plugging these values into the formula, we get:

Work = 30N * 6m

= 180 Joules

Therefore, the amount of work done when the mass is lifted vertically through 6m is 180 Joules.

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The initial  velocity of the car is 39.6 m/s and the final velocity is zero. Then, the acceleration of the car is - 9.9 m/s². The average distance covered is 158.4 m.

The acceleration of a moving body is the rate of change in its velocity. Acceleration is a vector quantity and is characterized with a magnitude and direction.

Acceleration is the ratio of change in velocity to the change in time. Here, the initial velocity is 39.6 m/s. The car is stopping , therefore the final  velocity is zero.

The time taken to stop is 4 seconds. Hence, the acceleration is :

a = 0 - 39.6 m/s / 4 s

   = -  9.9 m/s²

The distance covered within this time is the product of its velocity and time.

Distance  = velocity × time  = 4 s × 39.6 m/s = 158.4 m

Therefore, the car travels up to a distance of 158.4 m before stops.

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Your question is incomplete. But your complete question probably was:

Suppose a driver is moving with speed 39.6 m/s, and slams on the brakes, stopping the car in 4. s.

the acceleration and

(b) the distance the car travels while braking, assuming the acceleration is constant.

The declination is also known as latitude hence, star A is at a latitude of 25 degrees N from the earth so, option D is correct.

A hypothetical line that would make a large circle around the Earth's surface, equidistant from the poles and on a plane perpendicular to the axis of rotation of the planet, is known as an equator. It establishes the boundary between the Northern and Southern hemispheres of the Earth and serves as the standard for measuring latitude.

Considering that, star A's declination is 25 degrees above the celestial equator. The star is located at a latitude of 25 degrees to the North because the declination is also known as the latitude. Therefore, the observer must be (d) located at a latitude of 25 degrees N in order to examine the star all year long.

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Answer:

1) the potential difference is the same for both resistors

2) the larger resistor must carry less current because of (1)

3) the potential difference is the same for both resistors - given (everything depends on this fact)