You perform nine (identical) measurements of the acceleration of gravity (units of m/s2): 10.1,9.87, 9.76, 9.91, 9.75, 9.88, 9.69, 9.83, and 9.90. The true value is 9.81. Calculate the standard error of your results to ONE significant digit.

To Find :

Which is larger: 65 mph (miles per hour) or 120 kph (kilometers per hour).

Solution :

We know, 1 mph = 1.61 kph

So, 65 mph = 1.61 × 65 kph

65 mph = 104.65 kph

Since, 65 mph is 104.65 kph which is smaller than 120 kph.

Therefore, 120 kph is faster than 65 mph by ( 120 - 104.65 ) = 15.35 kph.

The magnitude of object's acceleration is 3.26m/s².

The mass of the body is 4.10 lg.

The two forces that are acting on the object are F₁ = -6i + 7.9j newton and F₂ = 6.8i + 5.3j Newton.

We know that the force acting on an object is,

F = Ma

Where,

F is the force acting,

M is the mass of the object and,

a is the acceleration of the object.

As we can see, two forces are acting on the body,

We can simplify the forces in x direction and y direction,

The forces are  F₁ = -6i + 7.9j N and F₂ = 6.8i + 5.3j N.

So, the total force in x-direction,

Fₓ = (-6+6.8)i

Fₓ = 0.8i

Fᵧ = (7.9+5.3)j

Fᵧ = 13.2j

So, the net force Fₙ on the object is Fₙ = (0.8i + 13.2j) N

Now, putting value of force and mass in the formula,

F = Ma

0.8i + 13.2j = 4.1a

a = 0.19i + 3.21j m/s².

The magnitude of acceleration is,

|a| = √[(0.19)²+(3.21)²]

|a| = 0.361 +10.3

|a| = 3.26m/s².

So, the magnitude of acceleration is 3.26m/s².

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a) The acceleration for an automobile driver is 22.23 m / s².

b) The acceleration for a bicycle rider will be zero.

Acceleration of any object is defined as the variation in the speed of the object with the variation of time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of acceleration can be m / sec², miles / sec², etc.

Given that An automobile driver increases the speed at a constant rate from 20 km/h to 46 km/h in 0.90 min. A bicycle rider speeds up at a constant rate from rest to 26 km/h in 0.90 min.

The acceleration for an automobile driver,

a = change in velocity / Time

a = ( 40 - 20 ) / 0.90

a = 22.23 m / s²

The acceleration of bicycle rider:-

a = change in velocity/time

a = ( 26 - 26 ) / 0.90

a = 0 m/s²

Hence, the acceleration for an automobile driver is 22.23 m / s² and he acceleration for a bicycle rider will be zero.

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Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

Answer:

It would be 20kg

Explanation:

This would be just 5x4 as there are 5 cats and each are 4kg. You can also add 4, 5 times as well.

I hope Im correct

Answer: \(1361.11\ N/C,\text{upward}\)

Explanation:

Given

Mass of particle is \(m=2.5\ gm\)

Charge of particle is \(q=18\ \mu C\)

Electrostatic force must balance the weight of the particle

\(\lim_{n \to \infty} a_n \Rightarrow mg=qE\\\\\Rightarrow E=\dfrac{2.5\times 9.8\times 10^{-3}}{18\times 10^{-6}}\\\\\Rightarrow E=1361.1\ N/C\)

Direction of the electric field is in upward direction such that it opposes the gravity force.

The current flowing through the 1Ω resistor in the circuit is 0.66 A.

The emf of the cells, V = 1.1 V

Internal resistance of the cells, r = Ω

Resistance across the circuit, R = 1 Ω

According to Kirchhoff's current law, the total current flowing into and out of a junction in an electrical circuit is equal.

According to Kirchoff's current law,

(1.1 - V'/2) + (1.1 - V'/2) + (1.1 - V'/2) = V'/1

3/2(1.1 - V') = V'

3.3 - 3V' = 2V'

5V' = 3.3

Therefore, the terminal velocity of the battery is,

V' = 3.3/5

V' = 0.66 V

Therefore, according to Ohm's law, the current flowing through the 1Ω resistor is given by,

I = V'/R

I = 0.66/1

I = 0.66 A

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The following which is the best example of a thermodynamically open system is a cup of coffee and is therefore denoted as option A.

This is referred to as the type of system in which matter and/or energy may enter and exit. There is also an exchange of both matter and energy with its surroundings.

An example is a cup of coffee because thermal energy is lost to the surrounding which is usually in the form of vapor. Other options such as our universe and  insulated gas cylinder are closed system which is why there is usually no exchange of energy with external environment thereby making it the correct choice.

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The full question is:

which if the following is the best example of a thermodynamiclly open system?

A. a cup of coffee

B. our universe

C. a greenhouse

D. an insulated gas cylinder

Answer:

Explanation:

Given that:

The area of the metal tube = 1.60 cm² = 1.60 × 10⁻⁴ m²

Length of cube L = 0.150 m

The exerted force by water = 1.00 × 10³ N

At the top of the cube;

The force on water is F = pgL

F = 9.8 m/s² × (1000 kg/m³) (0.150 m)(0.150 m)²

F = 33.075 N

∴

\(pgh = \dfrac{F}{A}\)

\(h = \dfrac{F}{Apg}\)

\(h = \dfrac{33.075}{(1.60 \times 10^{-4} \ m^2) \times (1000 \ kg/m^3)(9.8)}\)

h = 21.09 m

The volume of the water V = L³

V = (0.150 m)³

V = 0.003375 m³

weight of the water w = p(V + Ah)

w = 1000 (0.003375 + (1.60 × 10⁻⁴ × 21.09))

w = 6.75 kg

Answer:

\(E_0=0.021v/m\)

Explanation:

From the question we are told that:

Length \(l=1.73m\)

Voltage \(V=36.0mV\)

Frequency \(F=500Hz\)

Generally the equation for maximum Electric Field  is mathematically given by

 \(E_0=\frac{\triangle}{r}\)

 \(E_0=\frac{36*10^{-3}}{1.73}\)

 \(E_0=0.021v/m\)

Answer:

The height is the same

Explanation:

Because they were at the same height but they fell at different velocities

Answer:

\(t=0.0107\ \text{s}\)

Explanation:

\(x=10\cos(6t)\)

Now \(x=8\ \text{cm}\)

Substituting the value of \(x\) in the equation we get

\(8=10\cos6t\)

\(\Rightarrow 0.8=\cos6t\)

\(\Rightarrow \cos^{-1}0.8=6t\)

\(\Rightarrow t=\dfrac{\cos^{-1}0.8}{6}\)    the values here are used found in radians

\(\Rightarrow t=0.0107\ \text{s}\)

So, at \(t=0.0107\ \text{s}\) the value of \(x=8\ \text{cm}\).

Answer:

A. New space missions show that Pluto is much larger than originally thought.

Explanation:

The new definition of a planet that was adopted in 2006, defined planet as  an object that orbits the sun, with sufficient mass to be round, not a satellite of another object, and has removed debris and small objects from the area around its orbit.

This new definition of a planet that was adopted in 2006, classified Pluto as "dwarf planet", because Pluto meets planetary criteria except that it has not cleared debris from its orbital neighborhood.

However, new Horizons spacecraft flew by Pluto in 2015, revealed that Pluto is much larger than originally thought

Therefore, the correct option is "A"

A. New space missions show that Pluto is much larger than originally thought.

Answer: it means that we now technically have over 100 planets

Explanation:

it’s not New space missions show that Pluto is much larger than originally thought!!!

2.1. The acceleration of the ball immediately after it leaves the girl's hand is -9.8 m/s², directed downwards.

2.2. Yes, the ball is in free fall while it moves downwards. This is because the only force acting on the ball is gravity, which is a constant downward force.

The magnitude of the velocity with which the ball hits the floor can be calculated using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, v is the final velocity, and so is the distance traveled. In this case, u = 8 m/s, a = -9.8 m/s², and s = 1.8 m. Plugging these values into the equation, we get v = √ (8² - 2 × (-9.8) × 1.8) = √ (64 + 35.28) = √ (99.28) = 9.96 m/s.The time it takes for the ball to hit the floor can be calculated using the equation t = (v-u)/a, where t is the time, v is the final velocity, a is the acceleration and u is the initial velocity. In this case, v = 9.96 m/s, u = 8 m/s, and a = -9.8 m/s². Plugging these values into the equation, we get t = (9.96 - 8)/-9.8 = 1.97 s.

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When data stored digitally are copied then data are copied quickly, easily, and perfectly.

Data stored digitally are quickly, easily and perfectly copied.

Data is a collection of quantities, photos or videos, signs or symbols, on which operations are performed by a computer, which can be stored and transmitted in the form of electrical signals and recorded on magnetic, optical or mechanical recording media.

Since no quality of the file is lost, copying a data is an easy, quick and a perfect process.

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The charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

When a charged particle moves through a magnetic field, it experiences a force known as the Lorentz force. The Lorentz force is given by the equation F = qvBsinθ, where F is the force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

In this scenario, an aluminum rod with a mass of 0.946 g is passed between the poles of a 0.41-T permanent magnet at a speed of 4.05 m/s at a 90o angle. Since aluminum is a conductor, it is expected that electrons in the metal will be free to move, allowing for a current to flow through the rod.

We can calculate the charge of the particle by using the equation F = ma, where F is the Lorentz force, m is the mass of the particle, and a is the acceleration of the particle.

The acceleration of the aluminum rod can be calculated using the equation a = F/m. Since the rod is moving at a constant velocity, the force due to air resistance can be ignored. Therefore, the force acting on the rod is solely due to the Lorentz force. Thus, we can write: a = F/m = qvBsinθ/m, Solving for q, we get: q = ma/vBsinθ = (0.946 x 10^-3 kg x 4.05 m/s)/(0.41 T x sin90o) = 9.26 x 10^-6 C.

Therefore, the charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

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Answer:

both magnitude and direction

Explanation:

When an object moves in a circular path, its motion is called uniform circular motion. In this motion, the force acting on it is centripetal force and it is moving under centripetal acceleration. This type of force acts towards the centre of the circle.

In this type of motion, the speed remains constant while the velocity keeps on changing. The object's centripetal  acceleration remains constant in magnitude as well as direction.

Hence, the correct option is (3).

If an object is moving with constant speed in the circular path the object's centripetal  acceleration remains constant in both magnitude and direction

The formula for calculating the centripetal acceleration of an object is expressed as:

\(a =\frac{v^2}{r}\)

Hence if an object is moving with constant speed in the circular path the object's centripetal  acceleration remains constant in both magnitude and direction

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The maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water is 26.8 %

η = ( \(T_{H}\) - \(T_{C}\) ) / \(T_{H}\) * 100

η = Efficiency

\(T_{H}\) = Hottest temperature

\(T_{C}\) = Coldest temperature

Hottest temperature = Boiling point

Coldest temperature = Freezing point

\(T_{H}\) = 100 °C = 373 K

\(T_{C}\) = 0 °C = 272 K

η = ( 373 - 273 ) / 373 * 100

η = 100 / 373 * 100

η = 26.8 %

In a heat engine, the heat energy is converted into mechanical energy which will be used to do mechanical work like pushing a piston out from the cylinder.

Therefore, the maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water is 26.8 %

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Answer:  1. The function of a lightning rod is to protect buildings, structures, and people from lightning strikes by providing a path of least resistance for the electrical current to follow, directing it safely into the ground instead of through the structure or people.

2. Charge build-up is reduced on airplanes through various methods, such as using conductive materials in the airplane's structure, applying anti-static coatings on the airplane's surface, and installing static discharge wicks or similar devices on the airplane's trailing edges, which provide a way for any accumulated charge to safely dissipate into the air.

3. A ground strap is a necessary safety feature when transferring fuel because it provides an electrical connection between the fuel container and the receiving container, allowing any static charge to safely dissipate into the ground. Without a ground strap, the static charge could build up and potentially ignite the fuel.

4. Three different methods for reducing charge build-up in clothes dryers are: (1) using dryer sheets or fabric softeners, which can help neutralize static charges on the clothes, (2) adding a damp cloth to the dryer, which can help dissipate static charges, and (3) using metal dryer balls, which can physically separate clothes and prevent them from rubbing against each other and creating static charges.

5. Four different methods for reducing charge build-up in a computer room with a carpet are: (1) using conductive flooring or carpet tiles that can help dissipate static charges, (2) using anti-static mats or wrist straps for personnel who work in the room, (3) using air ionizers or humidifiers, which can help neutralize static charges in the air, and (4) grounding all equipment and devices in the room to prevent the buildup of static charges.

Explanation:

I hope this helps!

Answer:

this is a website for kids to get help on homework not date

Answer:

See Below

Explanation:

I am not sure what you exact question is to know what direction it is but here is how you do it.

The direction of the net force is the direction of the largest force.

for example if you were to push a box forward with 100 newton's of force and someone pushed at the same time 50 newton's backwards on the box, the box would move forwards because the was a greater force on the box in a forward direction. hope this helps

Answer:

Factors Affecting the Strength of the Magnetic Field of an Electromagnet: Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core

Explanation:

Follow me for more

The following factors affect the strength of an electromagnet; number of turns, wire size, current and the presence of iron core.

This is a type of magnet  in which the magnetic field is produced by an electric current.

The following factors affect the strength of an electromagnet;

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Answer: 3 s

Explanation:

i took the test in physics :)

The time taken by the wave to travel the distance is 3 seconds.

What is meant by frequency of a wave ?

Frequency of a wave is defined as the number of oscillations or cycles completed by the wave within one second.

Here,

Distance travelled by the wave, d = 600 m

Wavelength of the wave, λ = 0.4 m

Frequency of the wave, f = 500 Hz

The expression for the velocity of the wave is given by,

v = fλ

v = 500 x 0.4

v = 200 m/s

Therefore, the time taken by the wave to travel the distance of 600 m can be given as,

Time taken = displacement/velocity

So,

t = d/v

t = 600/200

t = 3 s

Hence,

The time taken by the wave to travel the distance is 3 seconds.

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Optimal Arousal theory focuses on finding the right level of stimulation.

William James (1842–1910), frequently referred to as the father of psychology in the United States, made significant contributions to early studies on motivation.

James proposed a number of instincts that help with survival as the driving forces behind conduct . An instinct is a species-specific pattern of behavior that is not taught, according to biology.

But there was a lot of disagreement over what exactly constitutes instinct among James's contemporaries. James postulated a number of unique human instincts, although many of his contemporaries had different lists.

Therefore, Optimal Arousal theory  focuses on finding the right level of stimulation.

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The situations that have an unbalanced force are:

These situations have an unbalanced force because in all of them an object is either accelerating (speeding up or changing direction) or moving with a force acting on it. In the first one, the baseball is accelerating due to gravity. In the second one, the bumper car is hit by another car and moves off at an angle. In the third one, the balloon flies across the room when the air is released, which is a force acting on it.

On the other hand, a soccer ball at rest on the ground and an ice skater gliding in a straight line at a constant speed, are both examples of balanced forces, as there is no net force acting on the objects and they are not accelerating.

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See full question below

Identify the situations that have an unbalanced force. Check all that apply. A baseball speeds up as it falls through the air. A soccer ball is at rest on the ground. An ice skater glides in a straight line at a constant speed. A bumper car hit by another car moves off at an angle. A balloon flies across the room when the air is released.

Explanation:

Falt isn't a size. I guess you were trying to spell flat. No, the earth isn't flat. instead, it is round.

Answer:

Earth is round. But the map shows you flat.

Answer:

0.18 Nm

Explanation:

Note: Torque is independent of the mass of a body.

From the question,

T = F×d.......................Equation 1

Where T = Torque, F = force applied to the wrench, d = length of the wrench.

Given: F = 12 N, d = 15 cm = 0.015 m

Substitute into equation 1

T = 12(0.015)

T = 0.18 Nm.

Hence the torque applied is 0.18 Nm