A large water tank with cross sectional area A and height of h is filled to the top with water (density= rho). There is a hole of cross sectional area a located at the bottom of the tank. The velocity of the water exiting the small hole is

The period of the pendulum, given that the pendulum has an angular velocity about the pivot point of 0.66 radians/sec is 9.52 seconds

First, we shall list out the given parameters from the question. This is shown below:

The period and angular velocity are related according to the following formula:

ω = 2π/ T

Inputting the given parameters, we can obtain the period of the pendulum as follow:

0.66 = (2 × 3.14) / T

0.66 = 6.28 / T

Cross multiply

0.66 × T = 6.28

Divide both sides by 0.66

T = 6.28 / 0.66

T = 9.52 seconds

Thus, we can conclude that the period of the pendulum is 9.52 seconds

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Acceleration is defined as the change in velocity per unit time. Its unit is m/s².

Distance is the amount of space, or the actual length of the path travelled.

Displacement is the difference between the initial and final positions of the object.

Speed is the rate at which an object covers a certain distance.

Velocity is defined as the speed with a direction.

An object is said to have a positive velocity, if it is moving in the positive direction. And an object moving in negative direction has a negative velocity.

Acceleration is the change in velocity per unit time.

For freely falling objects, gravity is the only thing acting on the object.

The acceleration due to gravity on the earth is 9.8 m/s².

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Answer:

1/R = 1/R1 + 1/R2 + 1/R3

1/1 + 1/2 + 1/4 = 1 + .5 + .25 = 1.75

1/1.75 = .572

multiplying this by 100 gives us

R = 57.2 ohms

The smallest resistor (100 ohms) will draw the most current

(One can also use R = R1 R2 R3 / (R1 R2 + R1 R3 + R2 R3)

Hi there!

We can use the following equation to solve for equivalent resistance:

\(\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}\)

We can plug in the givens and solve.

\(\frac{1}{R_T} = \frac{1}{100} + \frac{1}{200} + \frac{1}{400} \\\\\frac{1}{R_T} = 0.175\\\\R_T = \frac{1}{0.175} = \boxed{57.143 \Omega}\)

The resistor that would draw the most current is the 100 Ohm resistor because current chooses the path of LEAST RESISTANCE. This can also be proved mathematically with the following:

For resistors in parallel, the POTENTIAL DIFFERENCE (VOLTAGE) is the same.

Since I = V/R, a smaller 'R' means a larger 'I'. Thus, the smallest resistor would have the greatest current through it.

The velocity of the race car after it traveled 32.2 meter is 14.47m/s.

Velocity is simply the speed at which an object moves in a particular direction.

From the Third Equation of Motion

v² = u² + 2as

Given that;

Plug the given values into the above formula and solve for final velocity.

v² = u² + 2as

v² = (0)² + ( 2 × 3.25 m/s² × 32.2 m ​)

v² =  2 × 3.25 m/s² × 32.2 m

v² = 209.3 m²/s²

v = √( 209.3 m²/s² )

v = 14.47m/s

Therefore, the final velocity is 14.47m/s.

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The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.

Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.

Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.

Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.

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Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.

In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.

The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.

A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.

Therefore, the distance traveled during the second second is 1/2 * acceleration \(* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a\) Since the car moved 2.0 meters in the first second, it means the acceleration is\(2m/s^2\), and the distance traveled during the second second is 1/2 * 2 = 1 meters.

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Answer:

49.33333m/s²

Explanation:

The formula for acceleration is acceleration=change in velocity/change in time

So:

Iv= 0m/s

Fv= 267m/s

a=267m/s divided by 4.5s

a=49.3333m/s²

Three objects are connected by light threads. The object weighing 5.00 kg and the object weighing 4.00 kg are connected by a string.

acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. The pulling force transmitted axially by a string, cable, chain, or other similar one-dimensional continuous object, or by each end of a rod, or another similar three-dimensional object, is referred to as tension.  The action-reaction pair of forces acting at the ends of the aforementioned elements can also be used to describe tension.

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The gravitational force acting on the 83.4-kg person due to the 65.6-kg person is approximately 3.14 x 10^-8 N.  

The gravitational force is an attraction between any two mass-containing objects.

The following formula determines the gravitational force between two objects:

F = G * (m1 * m2) / r2.

where

Plugging in the given values, we have:

F = (6.67 x 10^-11 N * m^2 / kg^2) * (83.4 kg) * (65.6 kg) / (1.21 m)^2

F = 3.14 x 10^-8 N

Therefore, the gravitational force acting on the 83.4-kg person due to the 65.6-kg person is approximately 3.14 x 10^-8 N.

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Answer: KE=.5mv^2

KE=.5(7.62)(7.5)^2

KE=.5(7.62)(56.25)

KE=.5(428.625)

KE=214.3125 J of KE

Explanation:

Given:

As we know,

→ \(K.E = \frac{1}{2} mv^2\)

By substituting the values, we get

          \(= \frac{1}{2}\times 762\times (7.5)^2\)

          \(= \frac{1}{2}\times 7.62\times 56.25\)

          \(= \frac{1}{2}\times 428.625\)

          \(= 214.32 \ J\)

Thus the response above is appropriate.

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Answer:

What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.

If the applied force is 20 N and the displacement is from X=0m to X=5.0m, the work done is 100 Joules.

To determine the work done by a force, you need to know the displacement and the component of the force parallel to the displacement.

In this case, if the force applied is 20 N and the displacement is from X=0m to X=5.0m, you need to determine if the force is parallel to the displacement.

If the force is parallel to the displacement, then the work done is simply the product of the force and the displacement, which is:

Work = Force x Displacement

Work = 20 N x (5.0 m - 0 m)

Work = 100 Joules

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The complete question is below:

What is the work done from X =0m to 5.0m? if the applied force is 20 N

a) 35 N with the metal in air

W=mg=(3.6)(9.8)=35 N

b) 31 N with the metal in water

W=mg-ρ_w gV=mg-(ρ_w gm)/ρ_m =mg(1-ρ_w/ρ_m )=(3.6)(9.8)(1-1000/9000)=31 N

c) 31 N with the metal in brine

W=mg-ρ_b gV=mg(1-ρ_b/ρ_m )=(3.6)(9.8)(1-1200/9000)=31 N

d) 580 kg/m^3 is the density of a liquid in which it gives a reading of 33N (3.6)(9.8)(1-ρ/9000)=33

1-ρ/9000=33/(3.6)(9.8)

ρ=9000(1-33/(3.6)(9.8) )=580 kg/m^3 .

A simple and affordable way to determine mass is by using spring balances. The mass is suspended from the end of a spring, and the spring's deflection as a result of the mass's downward gravitational pull is measured in relation to a scale.

A spring balance loses its accuracy over time because, despite cautious handling, the spring slowly unravels even if its elastic limit has not been reached.

The spring balance weighs an object by working against the gravitational pull with the force of the expanded spring.

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Answer:

3.88 × 10^-4 m

Explanation:

Given that a  person who weighs 614 N is riding a 85-N mountain bike. Suppose the entire weight of the rider plus bike is supported equally by the two tires. If the gauge pressure in each tire is 9.00 x 10^5 Pa. What is the area of contact between each tire and the ground?

The total weight = 614 + 85

The total weight = 699N

Let the total area of contact = A

Pressure = Force / A

Substitute all the parameters into the formula

900000 = 699 /A

A = 699 / 900000

A = 7.77 × 10^-4 m

The area of contact between each tire and the ground will be = A/2

That is, 7.77 / 2 = 3.88 × 10^-4 m

Therefore, the area of contact between each tire and the ground is 3.88 × 10^-4 m approximately.

Answer:

magnitude is 1382.59 N/C

Explanation:

Given the data in the question;

The time taken is;

t = x / v

we substitute;

t = ( 2 × 10⁻²) / ( 5.69  × 10⁶ )

t = 3.5149 × 10⁻⁹ s

next, the acceleration is;

a = 2y/t² = [2( 0.150 × 10⁻²)] / [ ( 3.5149 × 10⁻⁹ )² ]

a =  2.42826 × 10¹⁴ m/s²

now, the electric field is;

E = ma / q

we know that;

mass of electron m = 9.11 × 10⁻³¹ kg,

charge of electron q = 1.60 × 10⁻¹⁹ coulomb

we substitute

E = ( 9.11 × 10⁻³¹ )(2.42826 × 10¹⁴) / 1.60 × 10⁻¹⁹

E = 2.21214 × 10⁻¹⁶  / 1.60 × 10⁻¹⁹

E = 1.3826 × 10²¹

E = 1382.59 N/C

Therefore, magnitude is 1382.59 N/C  

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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Answer:

False, it is a fuse.

Explanation:

In electronics and electrical engineering, a fuse is an electrical safety device that operates to provide overcurrent protection of an electrical circuit. Its essential component is a metal wire or strip that melts when too much current flows through it, thereby stopping or interrupting the current. It is a sacrificial device; once a fuse has operated it is an open circuit, and must be replaced or rewired, depending on its type.

Fuses have been used as essential safety devices from the early days of electrical engineering. Today there are thousands of different fuse designs which have specific current and voltage ratings, breaking capacity and response times, depending on the application. The time and current operating characteristics of fuses are chosen to provide adequate protection without needless interruption. Wiring regulations usually define a maximum fuse current rating for particular circuits. Short circuits, overloading, mismatched loads, or device failure are the prime or some of the reasons for fuse operation.

A fuse is an automatic means of removing power from a faulty system; often abbreviated to ADS (Automatic Disconnection of Supply). Circuit breakers can be used as an alternative to fuses, but have significantly different characteristics.

Source: https://en.wikipedia.org/wiki/Fuse_(electrical)

A fuse is a small glass or plastic tube that contains a piece of wire. That wire is carefully calibrated so that it will only allow a certain level of current to pass through it. Any more, and the wire will melt from the heat, breaking the circuit. This means that if a power surge comes into your home, a circuit will be broken before it causes damage to your appliances.

A circuit breaker achieves the same thing, but by a different method. A circuit breaker also disconnects the circuits in your home if the current gets too large but does it using electromagnets. If the current gets high enough, then the electromagnet will become powerful enough to attract a contact and break the circuit that way.

Both circuit breakers and fuses can be used to help with another situation. If you have an appliance with a metal case and that appliance comes in contact with a live wire, it can cause you to electrocute yourself. But if that metal case is connected to a ground wire (the third pin in some plugs), then the electricity will flow through the ground wire, through the circuit breaker or fuse box, and break the circuit, stopping you from potentially getting electrocuted.

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Explanation:

open the image for detailed solution

The reactive force when a fish swims through water is the force of the water on the fish. This is an example of Newton’s third law of motion which states that for every action, there is an equal and opposite reaction. The active force is the fish pushing against the water, so the reactive force would be the reverse, the equal force of the water pushing back on the fish.

The frequency at which the capacitive reactance is 375 ω and the Capacitance of 3.25 μF is 131 s⁻¹.

Capacitance is the ability or capacity of the substance to collect and store electrical energy and the unit of capacitance is Farad (F). Capacitive reactance is the term that measures the opposition to current flow in the AC circuits and the unit of capacitive reactance is the ohm(Ω).

From the given,

The capacitive reactance (Xc) = 375ω

capacitance (C) = 3.25μF

capacitive reactance Xc = 1/(2π×f×C)

Frequency (f) = 1/(2π×Xc×C)

                     = 1/(2×3.14×375×3.25×10⁻⁶)

                     = 131 s⁻¹.

Thus, the frequency of the capacitive reactance is 131 s⁻¹.

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The correct answer is :

Our heart and breathing rates drop down when the parasympathetic nervous system (PSNS) is engaged, which also lowers blood pressure and stimulates digestion.Our bodies start to relax, and relaxation encourages healing.

We become healthier the more time we spend in a PSNS condition.

Sometimes referred to be our "rest and digest mode," the PSNS. Together with our enteric system (ENS), also referred to as our second brain, and the sympathetic nervous system (SNS), generally known as the fight-or-flight mode, it makes up one third of our autonomic nervous system.

The parasympathetic nervous system can be activated and your body's balance can be restored using the 10 methods we've listed below.

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Answer:

Well potential energy is when an object is not moving, kinetic energy is when energy is made when an object is moving. So basically the way you can investigate the transformation of the energy of potential and kinetic is that, for example, a ball is being pushed down a hill. Ar first there is potential energy because the ball is not moving. Then there is kinetic energy because the ball is being pushed.

Explanation:

so basically what i'm saying as that as the energy of a ball moving than that's kinetic energy, Something that doesn't move always has potential energy.

Answer:

Non- polar molecules does not have the charges present at the end due to the reason that electrons are finely distributed and those which symmetrically cancel out each other are the non- polar molecules.

In a solution, a polar molecule cannot be mixed with the non-polar molecule.For example, consider water and oil. In this solution, water is a polar molecule whereas oil behaves as a non-polar molecule. These two molecules do not form a solution as they cannot be mixed up.

Answer: The particle model, because only high-energy frequencies of lights can remove electrons.

Explanation: just did the test and got it right :)

Answer:

22%

Explanation:

Given parameters:

The amount of change  = $0.22

Unknown

What percentage of a dollar the change represents  = ?

Solution:

A dollar is made up of 100cents;

        So;

 $0.22 represents 22cents

Percentage of dollar this represents  = \(\frac{22}{100}\)  x 100  = 22%

Answer:

(a) 70cm³

(b) 805 grams

Explanation:

(a) V = L×B×H

= 7cm×5cm×2cm

= 35cm×2cm

= 70cm³

(b) Mass = Volume × Density

= 70cm³ × 11.5g/cm³

= 805 grams

Answer:

both objects are negatively charged.

The fictional people and circumstances in realistic literature are meant to represent our society and reality. Growing up and facing personal and societal issues are the main topics.

In a word, the primary distinction between fiction and non-fiction is that fiction is the product of imagination, whereas non-fiction is entirely founded on facts and truth. To better grasp the two genres, let's now get in-depth with them.

While it may be based on a factual tale or circumstance, fiction is literature that was formed from the author's imagination and is not meant to be taken seriously as truth. Novels, short stories, and novellas are examples of literature in the fiction category.

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Answer:

C

Explanation:

C