In the annual battle of the dorms, students gather on the roofs of Jackson and Walton dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 35.5 m, and the heights of the Jackson and Walton buildings are, respectively, 15.5 m and 22.5 m. Ignore air resistance.
(a) The first balloon launched by the Jackson team hits Walton dorm 2.2 s after launch, striking it halfway between the ground floor and the roof. Find the direction of the balloon's initial velocity. Give your answer as an angle measured above the horizontal.
(b) A second balloon launched at the same angle hits the edge of Walton's roof. Find the initial speed of this second balloon.

Answer:

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

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)

(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.08.

(b) The final kinetic energy of the neutron is 5.08 x 10⁻¹³ J.

The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;

initial momentum of the neutron = final momentum of the atomic nucleus

m₁u₁  = m₂u₂

where;

The mass of the atomic nucleus = 12.4 m₁

u₂  = m₁u₁ / m₂

u₂  = m₁u₁ / (12.4 m₁)

u₂  = 0.08u₁

The initial kinetic energy of the neutron is calculated as;

K.Ei = ¹/₂m₁u₁²

The final kinetic energy of the atomic nucleus is calculated as;

K.Ef =  ¹/₂m₂u₂²

K.Ef =  ¹/₂(12.4 m₁)(0.08u₁)²

K.Ef = 0.08 (¹/₂m₁u₁²)

K.Ef = 0.08 (K.Ei)

The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;

= 0.08 (K.Ei) / K.Ei

= 0.08

= 8 %

The final kinetic energy of the neutron is calculated as follows;

K.E.f (neutron) = (1 - 0.08) x (5.53  x 10⁻¹³ J)

K.E.f (neutron) = 5.08 x 10⁻¹³ J

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(a) The displacement of the person as illustrated is 0 m.

(b) The distance travelled by the person is determined as 12 m.

The displacement of the person as illustrated is the change in the position of the person.

Mathematically, the formula for displacement of an person is given as;

Δx = xf - xi

where;

Δx = (2 m + 4m ) - ( 4m  + 2m ) = 0

The total distance travelled by the person is calculated as;

d = 2 m + 4 m + 4 m + 2 m

d = 12 m

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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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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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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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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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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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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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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.

The work done in pushing a 40 kg chair from the kitchen table to 10 meters down the hall would be 3920 Nm.

Gravity, also called gravitational force in mechanics, is the universal force of attraction that acts between all matter. It is the weakest of the known forces in nature, and therefore plays no role in determining the internal properties of everyday matter. It controls the orbits of objects, stars, galaxies, and the universe as a whole, as well as the structure and evolution of objects elsewhere in the universe.

On Earth, every object has a weight, or downward gravitational force, proportional to its mass. , the mass of the Earth acts on them. Gravity is measured by the acceleration it imparts to a free-falling object. At the Earth's surface, the acceleration of gravity is approximately 9.8 meters (32 feet) per second. For each second her body is in free fall, its velocity increases by about 9.8 meters per second. On the moon, the acceleration of a free-falling object is approximately 1.6 meters per second.

Gravitational force on chair:

F = mg

When, F = force

m = mass of chair (40 kg)

g = gravitational acceleration (9.8 m/s²)

F = 40 × 9.8

F = 392 N

For work done:

W = F × s

Where, w = work done

F = force (392 N)

s = distance (10 m)

W = 392 × 10

W = 3920 Nm

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The Total work done = work done on the object + work done on the cable

From the given information,

weight of the object is = 1500 N

weight of rope is = 3N per m

height interval is = 0 to 40 m

Work = force x distance

If distance = x, then, we have the integral below as shown in the image:

By substituting x = 40 and x = 0, it becomes

1620(40) - 3/2 * (40)^2 - 1620(0) - 3/2 * (0)^2

= 64800 - 2400

= 62400 Nm

the work done from the ground to the top of the building is 62400 Nm

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Answer: approximately 9.02 m/s.

Explanation: In this scenario, we can use the conservation of momentum to determine the initial speed of the van. Momentum is defined as the product of an object's mass and velocity, and it is conserved in collisions where there is no net external force. This means that the total momentum of the van and car before the collision must be equal to the total momentum of the van and car after the collision.

We can write this as an equation:

2,713 kg * v1 + 0 kg * 0 m/s = 2,713 kg * 6.9 m/s + 843 kg * 6.9 m/s

where v1 is the initial speed of the van. Solving for v1, we get:

v1 = (2,713 kg * 6.9 m/s + 843 kg * 6.9 m/s) / 2,713 kg

= 6.9 m/s + (843 kg * 6.9 m/s) / 2,713 kg

= 6.9 m/s + 3.12 m/s

Therefore, the initial speed of the van was approximately 9.02 m/s.

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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''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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Answer:

The initial speed of the van is 9.044 m/s

Explanation:

After an inelastic collision, bodies stick together and move at a common speed. Momentum is conserved, but some kinetic energy is lost.

Here is the formula for an inelastic collision:

[tex]m_1*v_{1i} +m_2*v_{2i}=v_f(m_1+m_2)[/tex]

Let the van be object 1; let the compact car be object 2.

Lets solve for [tex]v_{1i}[/tex]

Isolate terms with [tex]v_{1i}[/tex] to the left hand side.

Subtract [tex]m_2*v_{2i}[/tex] from both sides:

[tex]m_1*v_{1i}=v_f(m_1+m_2)-m_2*v_{2i}[/tex]

Divide both sides by [tex]m_1[/tex].

[tex]v_{1i}=\frac{v_f(m_1+m_2)-m_2*v_{2i}}{m_1}[/tex]

Simplify

[tex]v_{1i}=\frac{m_2(v_f-v_{2i})}{m_1}+v_f[/tex]

Enter our numbers into the equation.

[tex]m_1=2713[/tex]

[tex]m_2=843[/tex]

[tex]v_{2i} =0[/tex]

[tex]v_f=6.9[/tex]

[tex]v_{1i} =\frac{843(6.9-0)}{2713} +6.9[/tex]

[tex]v_{1i} =\frac{843(6.9)}{2713} +6.9[/tex]

[tex]v_{1i} =\frac{5816.7}{2713} +6.9[/tex]

[tex]v_{1i} =2.144 +6.9[/tex]

[tex]v_{1i} =9.044[/tex]

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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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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Their resultant at point P is 17.07μV/m.

Electromagnetic waves are a type of energy wave that has both electric and magnetic field components. They are created by the movement of electrically charged particles and travel through space at the speed of light. Electromagnetic waves can be used for communication, radiation, and other purposes. They are also responsible for the electromagnetic spectrum, which ranges from high-energy gamma rays to low-energy radio waves. Electromagnetic waves are used in a variety of applications, such as radio and television broadcasts, cellular phone communications, and radar. They can also be used to diagnose medical conditions and to detect objects in space. Electromagnetic waves are used in scientific research and are important in the understanding of the universe.

The amplitude of first wave,a1 = 10.0μV/m
The amplitude of second wave, a2 = 5.00μV/m
The amplitude of third wave, a3 = 5.00μV/m
Phase angle of first wave, θ1  = 0°
Phase angle of second wave, θ2 = 45°  
Phase angle of third wave , θ3 = -45°
Their resultant at point P is given by ,
R =  a1 Cosθ1 + a2 Cos θ2 + a3 Cosθ3

  = 10 * Cos0 + 5 * Cos(45) + 5 * Cos(-45)

   =17.07μV/m

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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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For total internal reflection to occur, all of the following must happen but light must travel slower in the first medium.

Total internal reflection,  can be described as the complete reflection of a ray of light within a medium  however this medium could be water or glass from the surrounding surfaces back into the medium.

It should be noted that the total internal reflection will not take place unless the incident light is traveling within the more optically dense medium , hence phenomenon occurs if the angle of incidence is greater compare to certain limiting angle.

Therefore, option A is correct.

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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:

A coffee mug is opaque while a wine glass is transparent.

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

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}.

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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Answer:

4NO+2O2------>4NO2

that's the answer

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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