an object is intiially hanging in equilibrium froma vertical spring. the object is pulled down 15 cm

The angle of the free surface relative to the horizontal direction after deceleration is approximately 20.2 degrees.

Let's assume that the tank has a mass of m, the angle of the inclined surface is θ, and the height of the inclined surface is h. The initial kinetic energy of the tank is given by:

KE = (1/2)mv²

where v is the initial velocity of the tank. When the tank reaches the top of the inclined surface, its potential energy is given by:

PE = mgh

where g is the acceleration due to gravity (9.81 m/s²). Since there is no change in the total energy of the system (tank + water), we can equate the initial kinetic energy to the final potential energy:

(1/2)mv² = mgh

Solving for v, we get:

v = √(2gh)

When the tank decelerates with an acceleration of a, its velocity decreases at a rate of a m/s². The time taken for the tank to come to a complete stop is given by:

t = v/a

The distance traveled by the tank during this time is:

s = (1/2)at²

\(=\dfrac{1}{2} (\dfrac{v}{a})^2a = \dfrac{v^2}{2a}\)

The angle of the free surface relative to the horizontal direction after deceleration is given by:

\(\theta' = tan^{-1}\dfrac{s}{h}\)

Substituting the values of v and s, we get:

\(\theta' = tan^{-1}\dfrac{\sqrt{2gh}^2}{2ah}\\\\ = tan^{-1}\dfrac{2h}{3a}\)

Substituting the given values of h and a, we get:

\(\theta' = tan^{-1}\dfrac{2(9.81)sin(15)}{3.83}\\ = 20.2\)

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Steps to formulate a logical, reasonable perspective to any situation are: gather information, identify problem, analyze the situation, consider assumptions, generate solutions, evaluate options, consider your values, make decision and monitor and adjust

Here are the six questions that you can apply to formulating a logical, reasonable perspective to any situation:

What are the issues that should be addressed?

What are the relevant facts and data related to this problem or issue?

What assumptions am I making about the problem or issue?

What are the possible solutions or outcomes, and what are the pros and cons of each?

What are my values and priorities related to this problem or issue?

What additional information do I need to make an informed decision or come to a reasonable conclusion?

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The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

The given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:

The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:

Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26

Normalize the vector by dividing each component by the magnitude:

Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k

Multiply the normalized vector by the desired magnitude:

To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:

Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)

Simplifying the expression gives:

Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k

So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

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Answer:

An object maintains its state of motion because it has inertia.

Explanation:

The tangential acceleration of the short player's ball is twice the tangential acceleration of the tall player's ball.

The ball of the shorter player experiences twofold of the ball of the taller player's tangential acceleration. The reason behind this is that the magnitude of the tangential acceleration correlates directly with the radius of the circle.

The ball belonging to the smaller player is positioned nearer to the elbow, resulting in a decreased radius. It can be deduced from this statement that the ball of the short player experiences twice the magnitude of tangential acceleration compared to the ball of the tall player.

The answer is: ashort = 2atall

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The Complete Question

A short tennis player hits a ball that is r meters from their elbow with an angular acceleration a. A tall tennis player hits a ball with the same angular acceleration where the ball is 2r from their elbow. How does the tangential acceleration of the short player's ball Ashort compare with the tall player's ball a tall? Choose 1 answer: ashort 2atall ashort Otall ashort 1 atall 2

Explanation:

Distance traveled by motorist =(15.0m/s)t

Distance traveled by policeman =1/2(2.00m/s2)t2

(a) Intercept occurs when 15.0t =t2or t=15.0s.

(b) x(officer)=1/2(2.00m/s2)t2= 225m

The voltage has not changed from the initial reading of 18 V. The change in current is due to the change in the resistance of the circuit, and not a change in voltage.

What is Voltage?

Voltage, also known as electric potential difference, is a measure of the electrical potential energy per unit charge in an electrical circuit. It is often represented by the symbol "V" and is measured in volts (V).

Assuming the circuit is a constant resistance, Ohm's law states that the current in a circuit is directly proportional to the voltage. Therefore, we can use Ohm's law to calculate the resistance of the circuit:

Resistance = Voltage / Current

Using the initial readings:

Resistance = 18 V / 40 mA = 450 ohms

Using the later readings:

Resistance = 18 V / 20 mA = 900 ohms

Therefore, the resistance of the circuit has increased from 450 ohms to 900 ohms.

We can calculate the change in voltage by using Ohm's law and the new resistance value:

Voltage = Current x Resistance

Using the later readings:

Voltage = 20 mA x 900 ohms = 18,000 mV or 18 V

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A wire is capable of carrying a load W without snapping. It is divided in half, equally. Each component's maximum load capacity is W.

The maximum load supported by the cable is directly proportional to the breaking stress.

Since,

Breaking stress=F/A

where F is the force and A is the cross-sectional area

As we see that the breaking stress is independent of the length of the cable. So, if the cable is cut in two equal parts, the maximum load that can be supported by either part of the cable remains the same as before.

So, the answer would be W.

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a) To determine if the car will hit the object before coming to a stop, we need to calculate the distance required to stop the car, assuming maximum braking deceleration. We can use the following formula:

d = (v^2) / (2a)

where:

d = distance required to stop

v = initial velocity

a = acceleration/deceleration

In this case, v = 100 km/h = 27.78 m/s (converted from km/h to m/s)

a = -7 m/s^2 (negative sign indicates deceleration)

We know that the car's headlights extend out to a range of 30 m, so if the distance required to stop the car is greater than 30 m, the car will hit the object before coming to a stop.

Plugging in the values to the formula, we get:

d = (27.78^2) / (2 x -7) = 108.61 m

Since 108.61 m is greater than 30 m, the car will hit the object before coming to a stop.

b) To calculate the time required to stop, we can use the following formula:

t = v / a

where:

t = time required to stop

v = initial velocity

a = acceleration/deceleration

Plugging in the values, we get:

t = 27.78 / 7 = 3.97 s

Therefore, it will take 3.97 seconds to stop the car.

you haven't attached the diagram, but i assume that this diagram is what you were talking about

Answer:

near Y

Explanation:

the electric field lines goes from a positive charge to a negative charge. This means that a positive charge would move in the same direction of the field lines, while a negative charge would move in the opposite direction of the field lines. the field lines are created from +vely charged plate to -vely charged plate so the negative charged particles moves towards the lower plate which is positively charged, and opposite to the direction of field lines.

The charge will most likely leave the electric field near Y letter. Hence option C is correct.

Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C

The charge on the electron is negative, and the force is directed in the opposite direction as the electric field. When an electron is projected perpendicular to a uniform electric field, it experiences an electric force in the opposite direction of the field.

the trajectory of the charged particle in the electric filed is parabolic and in magnetic field it is circular. when this electron moves perpendicular to the electric field, electron experience force in opposite direction to the electric field and due to parabolic nature, it will leave at Y.

Hence option C is correct.

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Answer:

American professional basketball player

Explanation:

sana makatulong ^^ (hope it helps)

The car will travel only distance of 25.92 m.In order to overtake it needs to travel 40m. So don't attempt to pass the truck.

Vehicle speed is 25 m/s.

40m is the distance the automobile must go to pass the truck.Distance between the car approaching from the opposite direction and the passing location is 400-40, or 360 meters.

Time allowed for a car to pass a truck of 20 meters in length is equal to the distance between the automobile coming from the other direction and the relative speed of the two cars.

Time equals 360/50, or 7.2 seconds.

Let's assume that the truck is going at the same rate as the car.

The expression "distance traveled by car in comparison to truck"

S is the distance traveled, u is the initial velocity, an is the acceleration, and t is the amount of time spent, where S = ut +\(\frac{1}{2}at^{2}\)

Here, u = 0, t = 7.2 s, and a = 1 m/\(s^{2}\)

hence, the distance driven in 7.2 seconds

So,     S = 0+ 25.92 = 25.92 m

So car will travel only travel 25.92 m

In order to overtake it needs to travel 40m. So don't attempt to pass the truck.

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In a simple machine the direction changes by using the pulley. By applying the force on the pulley, by pushing down and the object moves up.

The simple machine allows to change the direction is a pulley. The pulley machine acts as a direction changer and is also used to change the direction of the force. When the wheel rotates, the cord can move in either direction.

The pulley has a wheel and hook. By attaching the hook to the cord, the wheel rotates making the object move up or down much easier when the force is applied to the pulley. These machines use pivot points to balance.

Hence, the simple machine called a pulley, is used to change the direction of force and makes the object moves up.

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Answer:

Explanation:

In the microscopic world of quantum mechanics, particles don't behave like familiar everyday objects. They can exist in multiple states simultaneously and behave as both particles and waves. When we try to measure or observe a particle, we typically use light or other particles to interact with it. However, this interaction can disturb the particle's state. Imagine trying to measure the position of an electron using light. Light consists of photons, and when photons interact with the electron, they transfer energy to it. This energy exchange causes the electron's position and momentum to become uncertain. The more precisely we try to measure its position, the more uncertain its momentum becomes, and vice versa. This is known as the Heisenberg uncertainty principle.

So, the act of observing a particle disturbs its state because the interaction between the observer and the particle affects its properties. The very act of measurement or observation introduces a level of uncertainty and alters the particle's behavior. It's important to note that this behavior is specific to the quantum world and doesn't directly translate to the macroscopic world we experience in our daily lives. Quantum mechanics operates at extremely small scales and involves probabilities and uncertainties that are not typically noticeable in our macroscopic observations.

(a)The equation of the shape of the room is (x - 0)²/(97/2)² + (y - 0)²/(23)² = 1. (b) The distance between the foci is approximately 94.2 ft.

a. For the given Statuary hall with dimensions 46 feet wide by 97 feet long, we have to find the equation of the shape of the room, center the ellipse at the origin, and let the major axis lie on the x-axis. We will use the formula of the ellipse:

(x-h)²/a² + (y-k)²/b² = 1,

where,

(a, 0) and (-a, 0) are the endpoints of the major axis

(b, 0) and (-b, 0) are the endpoints of the minor axis.

The major axis is on the x-axis, and therefore, h = 0. Since the ellipse is centered at the origin, k = 0.

The length of the major axis is 97, which is equal to 2a, so a = 97/2.

The length of the minor axis is 46, which is equal to 2b, so b = 46/2.

Therefore, a = 97/2 and b = 23.

The equation of the shape of the room is:(x - 0)²/(97/2)² + (y - 0)²/(23)² = 1

Simplifying the equation above,(x² / (97/2)²) + (y² / 23²) = 1(x² / (9409/4)) + (y² / 529) = 1(4x² / 9409) + (4y² / 529) = 4((2x / 97)² + (2y / 23)²) = 1

So, the equation of the shape of the room is ((2x / 97)² + (2y / 23)²) = 1.

b. The distance between the foci of the ellipse is equal to√(a² - b²).

Substituting the value of a and b we obtained above into the formula, we have;

√((97/2)² - 23²)=√(9409/4 - 529) = √(8880.25) = 94.2 (approx.)

Therefore, the distance between the foci is approximately 94.2 ft.

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The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.

Since the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.

The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.

According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.

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The  average net force required to accelerate an 8kg bicycle to a speed of 6.2m/s in 5s is 9.92 Newton.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Given that:  mass of the bicycle: m = 8 kg.

Final speed : v = 6.2 m/s.

Time interval: t = 5 s.

Hence, average net force applied on it = change in momentum/time interval

= 8 kg × 6.2 m/s/5 s

= 9.92 Newton.

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The plates of the Earth's crust are described as  Large pieces of lithosphere that fit together like a jigsaw puzzle.

Therefore option A is correct.

What is the lithosphere?

The  lithosphere is described as the rigid, outermost rocky shell of a terrestrial planet or natural satellite.

The Earth's crust is made up of  of several large tectonic plates that move relative to one another.

These plates are made up of the rigid outer layer of the Earth called the lithosphere.

In conclusion, lithosphere is broken up into a number of pieces or plates that fit together just as  a jigsaw puzzle.

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Answer:

The time is 1.4 sec

The initial velocity is 10.7 m/s.

Explanation:

Given that,

Height = 10 m

Distance = 15 m

We need to calculate the time

Using equation of motion

\(s=ut-\dfrac{1}{2}gt^2\)

Put the value into the formula

\(10=0+\dfrac{1}{2}\times9.8\times t^2\)

\(t^2=\dfrac{2\times10}{9.8}\)

\(t=\sqrt{\dfrac{2\times10}{9.8}}\)

\(t=1.4\ sec\)

We need to calculate the initial velocity

Using formula of velocity

\(v=\dfrac{d}{t}\)

Put the value into the formula

\(v=\dfrac{15}{1.4}\)

\(v=10.7\ m/s\)

Hence, The time is 1.4 sec

The initial velocity is 10.7 m/s.

(a) The work done by the donkey on the cart is 59,721.9 J.

(b) The work done by the force of gravity on the cart is -48,434.87 J.

(c) The work done on the cart by friction during this time is 11,315.12 J.

(a) The work done by the donkey on the cart is calculated as follows;

Wd = Fd cosθ

where;

Wd = 375 N x 163 m x cos(12.3)

Wd = 59,721.9 J

(b) The work done by the force of gravity on the cart is calculated as;

Wg =  Fg x d x cosθ

Where;

θ = 90⁰ + 4.03⁰ = 94.03⁰

Wg = (431 kg x 9.81 m/s²) x 163 m x cos (94.03)

Wg = -48,434.87 J

(c) The work done on the cart by friction during this time is calculated as;

Wf = Ff x d x cosθ

where;

Ff = μmg cosθ

Ff = 0.0165 x 431 kg x 9.81 x cos (4.03)

Ff = 69.59 N

Wf = 69.59 x 163 x cos (4.03)

Wf = 11,315.12 J

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Answer:

It means how much input work you put into the machine, which then becomes output from the machine. So you're putting 80% of work into the machinie. To find the efficency of a machine, it's output divided by input work.

Explanation:

Answer:

efficiency is the ratio of the power ouput to the power input

Explanation:

It compares how much energy is used to do work versus how much is lost or wasted to the environment, the more efficient the machine, the less energy wasted.

Answer:

The graph is the answer to the question.

Explanation:

The rocket launches straight up, and the acceleration is constant.

The Complete Question is added below

c) Velocity of the of the rocket after the first 10sec of travel is

   \(v=50m/s\)

From the Question we are told that

Upward acceleration of 5 m/s^2 for 10 seconds

Rocket freely falls straight down back to Earth's surface

Generally the Newtons equation for Velocity  is mathematically given as

  \(v=u+at\\\\v=(0)+(5)(10)\)

  \(v=50m/s\)

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The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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Answer:

i = 0.00077A

Explanation:

Given:

loop radius, r = 3.0 cm = 0.03 m

Area, A = π x r² = π x 0.03² = 0.0028 m²

Magnetic Field, B = 0.75 T

Loop resistance, R = 18 Ω

time, t = 0.15 seconds

Now,

the induced emf is given as:

EMF = - BA/t .......1

Likewise,

EMF = iR.......2

Equate 1 and 2

iR = - BA/t

i = - BA/tR

i = 0.75×0.0028/0.15×18

i = 0.0021/2.7

i = 0.00077A

Answer:

the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.

Explanation:

imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line

60

because mass of an object never change

but weight can change for example if it's

mass is 60kg 5he wieght will be 60kg * 9.8m/s²

=588N

Answer:

Organic systems used 45% less energy overall than conventional systems. Production efficiency was 28% higher in the organic systems, with the conventional no-till system being the least efficient in terms of energy usage.

Answer: 65%

Explanation: i took the quiz

Answer:

If x-rays get in touch with our body tissues, they create a picture of a metal film. The high energizing rays are unable to penetrate soft tissue, such as skin and organs and travel through the laser. The places where the x-rays pass soft tissues are Black areas of an X-ray.

Answer:

Explanation:

Mode of Operation: In the X-ray tube a Low voltage high p.d is applied between the hot cathode and the anode. Electrons are emitted from the cathode and are accelerated to an extremely high speed. ... They are produced by increasing the p.d. between the cathode and anode.

Answer:

38.4 cells a day in 24 hours

Explanation:

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