an explosion of gas from a hawaiian volcano blows a rock into the sky. the rock has 2000j of kinetic energy. what was its mass if the rock had a velocity of 20m/s? ( ke

Power can be retained in the high voltage system for up to two minutes once it has been disabled.

A High voltage carries more than 1000 volts between conductors and 600 volts between conductors and ground.

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Answer:

19.32g/cm³

Explanation:

Answer:

Newton's Third Law states that "For every action, there is an equal and opposite reaction." An example of this law is the following scenario:

Imagine you are pushing a heavy box across the floor. According to Newton's Third Law, the box will exert an equal and opposite force back on you, making it harder to push. The more force you apply to the box, the greater the force it will exert back on you. This reaction force is what makes it difficult to push the box. The same idea applies when jumping off a diving board or jumping on a trampoline - the force you apply to the board or trampoline is equal and opposite to the force it applies back on you.

The maximum height of the ball is approximately 6.096 m and the work done by gravity is -4.95 J.

Given information,

m = 0.071 kg

V₀ = 11 m/s

(a) Finding the maximum height:

The initial kinetic energy of the ball is converted into potential energy at its maximum height.

Initial kinetic energy = Potential energy at maximum height

(1/2)mv₀² = mgh

(1/2)(0.071 kg)(11 m/s)² = (0.071 kg)(9.8 m/s)h

h = (0.5)(11²)/(9.8) ≈ 6.096 m

Part (b) Calculating the work done by gravity:

The work done by gravity during the ball's flight to its maximum height is equal to the change in potential energy. Since the gravitational potential energy is defined as zero at the initial height, the work done by gravity is equal to the negative of the potential energy at the maximum height.

Wg = -mgh

Wg = -0.071 × 9.8 × 6.096

Wg ≈ -4.95 J

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The law of reflection states that when light strikes a flat surface and is reflected, you can draw a line perpendicular to the surface so that the angle of incidence (light moving toward the surface) and the angle of reflection (light reflected away from the surface) will be equal.

If the angle of incidence O1, is 22 degrees, what is the angle of reflection is also 22 degree.

When two distinct media come together at an interface, a wavefront might reverse direction so that it returns to the first medium, which is known as reflection. The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave impinge on the surface matches the angle at which it is reflected for specular reflection (such as at a mirror).

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Answer:

1.11

Explanation:

The index of the medium can be calculated using below formula

V= c/ n ............eqn(1)

Where V= velocity of the light is reduced to while traveling through the second medium= 2.7 x 10^8 m/s

n= index of the medium

c= speed of light= 3 x 10^8 m/s

Substitute for the values in eqn(1)

2.7 x 10^8 = (3 x 10^8 m/s)/ n

Making " n" subject of the formula, we have

n= (3 x 10^8 )/(2.7 x 10^8)

n= 1.11

Hence, the index of the medium is 1.11

Answer:

P = 5880  J

Explanation:

Given that,

The mass of the block, m = 30 kg

The block is sitting at a height of 20 m.

The block will have gravitational potential energy. The formula for gravitational potential energy is given by :

\(P=mgh\\\\=30\times 9.8\times 20\\\\=5880\ J\)

So, the required potential energy is equal to 5880  J.

Answer:

Heat energy

Explanation:

Explanation:

heat energy or thermal energy

When two rope segments pull up on the load in the single movable pulley, the optimal mechanical advantage is 2. This sort of pulley does not change the direction of the applied force, but it does increase it by a factor of two.

There are two methods for calculating a pulley system's mechanical advantage.

The mechanical advantage may be calculated simply by counting the number of falls (or active lifting ropes) that are really attached to the load. You may also split the effort distance by the load distance.

Assuming an ideal rope and pulley system with a mechanical advantage of  \(2.00\) , the output load that can be lifted with an input force of \(200 N\) can be calculated using the formula:

Output force = Input force x Mechanical advantage

Where the mechanical advantage is given as \(2.00\)  .

Thus, the output force is:

Output force \(= 200 N \times 2.00 = 400 N\)

Therefore, with an input force of \(200 N\)  , the rope and pulley system can lift an output load of up to \(400 N\) .

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(a) The acceleration of the masses is determined as 1.1 m/s² in the direction of the 5 kg mass.

(b) The tension in the string in terms of gravity is T = g.

(a) The acceleration of the masses is calculated by applying Newton's second law of motion.

F(net) = ma

where;

(5 kg x 9.8 m/s² ) - (1 kg + 3 kg )9.8 m/s² = ma

9.8 N = (5kg + 1 kg + 3 kg )a

9.8 = 9a

a = 9.8 / 9

a = 1.1 m/s² in the direction of the 5 kg mass.

(b) The tension in the string in terms of gravity is calculated as follows;

T = ( 5kg)g - (1 kg + 3 kg ) g

T = 5g - 4g

T = g

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To pull the tanker 0.630 km total work to be done is  1.871 × 10⁹ Joule.

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.

Resultant force acting on the tugboat = √2 × 2.10 × 10⁶ N.

To pull the tanker 0.630 km, that is, 630 m, work done = force × displacement

= √2 × 2.10 × 10⁶ N × 630 m

= 1871004543.01 Joule.

= 1.871 × 10⁹ Joule.

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The ratio of the radii of the cylinders is approximately 9.38. To find the capacitance of the cylindrical capacitor, we will use the formula:

Capacitance (C) = Charge (Q) / Potential difference (V)

Given the charge Q = 0.500 nC (nano coulombs) and the potential difference V = 20.0 V, we can calculate the capacitance:

C = Q / V
\(C = 0.500 * 10^(-9) C / 20.0 V\)
\(C = 25 * 10^(-12) F\)

The capacitance of this system is 25 pF (picofarads).

Now, let's find the ratio of the radii of the cylinders. The formula for the capacitance of a cylindrical capacitor is:

\(C = (2 * π * ε₀ * L) / ln(b/a)\)

Where ε₀ is the vacuum permittivity \((8.854 * 10^(-12) F/m)\), L is the length of the cylinders (1.0 m), and b and a are the radii of the outer and inner cylinders, respectively. We need to find the ratio b/a.

We have already found the capacitance \((C = 25 * 10^(-12) F)\), so we can rearrange the formula to solve for the ratio:

\(ln(b/a) = (2 * π * ε₀ * L) / C\)

Now, substitute the given values:

\(ln(b/a) = (2 * π * (8.854 * 10^(-12) F/m) * 1.0 m) / (25 * 10^(-12) F)\)

\(ln(b/a) ≈ 2.239\)

To find the ratio of the radii, we just need to exponentiate both sides:

\(b/a = e^(2.239)b/a ≈ 9.38\)

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Answer: it is called a open circuit

Explanation:

Answer: The speed limit is 15 mph when you come within 100 feet of a railroad crossing and you cannot see the tracks for 400 feet in both directions. You may go faster than 15 mph if the crossing is controlled by gates, a warning signal, or a flagman.

Explanation: hope this helps

Answer:69

Explanatioits funnyn:

The effect exhibited by crystals in a transducer is called the piezoelectric effect. The piezoelectric effect refers to the ability of certain crystals, such as quartz or tourmaline, to convert electrical energy into mechanical vibrations, including sound waves.

When an electric field is applied to these crystals, their shape changes, causing them to vibrate and produce sound waves. This is why crystals are commonly used in transducers for converting electrical energy into sound waves.

The piezoelectric effect is crucial in various applications, such as microphones, speakers, ultrasound machines, and even musical instruments like electric guitars. In a microphone, for example, the crystal inside the transducer converts sound waves into electrical signals through the reverse piezoelectric effect.

The effect exhibited by crystals in a transducer is the piezoelectric effect, which enables the transformation of electrical energy into sound waves.

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Given the velocity versus time graph of an object.

From the graph, the velocity of object A is constant as the line representing its velocity is horizontal. The velocity of object a is decreasing with time. That is, object B is decelerating.

From the graph, at t=5 s the value of the instantaneous velocity of object A is 0 m/s.

And the value of the instantaneous velocity of object B is the same throughout the graph. And the value is 4 m/s.

Thus the value of the instantaneous velocity of object B is greater than that of object A.

Thus the correct answer is B has the greater value

Answer:

The effort arm is the side of the lever on which the force is exerted.

Explanation:

Answer:

4.88 K.

Explanation:

From the question given above, the following data were obtained:

Number of mole (n) = 5 moles

Pressure (P) = 1 atm

Volume (V) = 2 L

Gas constant (R) = 0.082 atm.L/Kmol

Temperature (T) =?

The temperature of the gas can be obtained by using the ideal gas equation as illustrated below:

PV = nRT

1 × 2 = 5 × 0.082 × T

2 = 0.41 × T

Divide both side by 0.41

T = 2 / 0.41

T = 4.88 K

Therefore, the temperature of the gas is 4.88 K.

The test statistic (Z-score) is approximately 4.95.

To calculate the test statistic (Z-score) for this hypothesis test, we can use the formula:

Z = (sample mean - hypothesized population mean) / (standard deviation / sqrt(sample size))

Sample mean (X-bar) = 37

Hypothesized population mean (μ) = 30

Standard deviation (σ) = 8

Sample size (n) = 50

Substituting these values into the formula, we get:

Z = (37 - 30) / (8 / sqrt(50))

Z = 7 / (8 / 7.071)

Z = 7 / 1.414

Z = 4.95 (rounded to two decimal places)

A statistical hypothesis test is a technique for determining if the available data are sufficient to support a certain hypothesis. We can make probabilistic claims regarding population parameters using hypothesis testing.

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Answer:

Friction force= 120 N

Explanation:

Answer:

it will take 1,000.42 hours to raise the same amount of water.

Explanation:

mass of the water to be raised, m = 4.2 x 10⁵ kg

power applied in lifting the water, P = 4000 W

height through which the water will be lifted, h = 3.500 km = 3,500 m

The power applied the water is given as follows;

\(Power = Force \times Velocity\\\\P = FV\\\\P = ma \ \times \ V\\\\P = ma \ \times \ \frac{d}{t} \\\\P = mg \ \times \ \frac{h}{t} \\\\P = \frac{mgh}{t} \\\\t = \frac{mgh}{P} \\\\t = \frac{4.2\times 10^5 \times 9.8 \times 3,500}{4,000} \\\\t = 3,601,500 \ s = 1000.42 \ hours\)

Therefore, it will take 1,000.42 hours to raise the same amount of water.

The age of the universe in a flat universe, based on the given values, is approximately 3.454 × 10^16 seconds or approximately 1.094 billion years.

To calculate the age of the universe based on the observed recession velocity and assuming a flat universe, we can use the Hubble's Law equation:
v = H₀ × d
where:
v is the recession velocity of the galaxy,
H₀ is the Hubble constant, and
d is the distance to the galaxy.
The Hubble constant is the rate at which the universe is expanding and is typically expressed in units of km/s per megaparsec (km/s/Mpc).
Rearranging the equation, we can solve for time (t), which represents the age of the universe:
t = 1 / H₀
Given that the recession velocity (v) is 894 km/s and the distance (d) is 12 Mpc, we can substitute these values into the equation:
t = 1 / (894 km/s / 12 Mpc)
Converting the units to consistent values:
t = 1 / (894 km/s / 3.09 × 10^19 km/Mpc)
Evaluating the expression:
t = 1 / (2.897 × 10^−17 s^−1)

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Answer:

v = 6t² + t + 2, s = 2t³ + ½ t² + 2t

59 m/s, 64.5 m

Explanation:

a = 12t + 1

v = ∫ a dt

v = 6t² + t + C

At t = 0, v = 2.

2 = 6(0)² + (0) + C

2 = C

Therefore, v = 6t² + t + 2.

s = ∫ v dt

s = 2t³ + ½ t² + 2t + C

At t = 0, s = 0.

0 = 2(0)³ + ½ (0)² + 2(0) + C

0 = C

Therefore, s = 2t³ + ½ t² + 2t.

At t = 3:

v = 6(3)² + (3) + 2 = 59

s = 2(3)³ + ½ (3)² + 2(3) = 64.5

The full three-dimensional strain tensor at the point

\(p = e_1 + 2e_2 + 10e_3\: is\: :\\epsilon =\left[\begin{array}{ccc}0.05x_2&0.05x_1&0\\0.05&0&0\\0&0&0\end{array}\right]\)

To calculate the full three-dimensional strain at the point \(p = e_1 + 2e_2 + 10e_3\), we need to find the components of the strain tensor \(\epsilon_m_n\).

The strain tensor εₘₙ can be calculated using the formula:

εₘₙ = (0.5) * (∂uₘ/∂xₙ + ∂uₙ/∂xₘ)

Given the displacement field u(x, t) with components:

u₁ = 0.1x₁x₂

u₂ = 0.1x₂ + 5

u₃ = 500

We can calculate the components of the strain tensor as follows:

\(\epsilon_1_1 = (1/2) * (\delta u_1/\delta x_1 + \delta u_1/\delta x_1)\\= (1/2) * (0.1x_2 + 0)\\= 0.05x_2\)

\(\epsilon_1_2 = (1/2) * (\delta u_1/\delta x_2 + \delta u_2/\delta x_1)\\= 0.05x_1\)

\(\epsilon _1_3 = (1/2) * (\delta u_1/∂x_3 + \delta u_3/\delta x_1)\\= (1/2) * (0 + 0)\\= 0\)

\(\epsilon_2_1 = (1/2) * (\delta u_2/\delta x_1 + \delta u_1/\delta x_2)\\= (1/2) * (0 + 0.1)\\= 0.05\)

ε₂₃ = (1/2) * (∂u₂/∂x₃ + ∂u₃/∂x₂)

= (1/2) * (0 + 0)

= 0

ε₃₁ = (1/2) * (∂u₃/∂x₁ + ∂u₁/∂x₃)

= (1/2) * (0 + 0)

= 0

ε₃₂ = (1/2) * (∂u₃/∂x₂ + ∂u₂/∂x₃)

= (1/2) * (0 + 0)

= 0

ε₃₃ = (1/2) * (∂u₃/∂x₃ + ∂u₃/∂x₃)

= (1/2) * (0 + 0)

= 0

Therefore, the full three-dimensional strain tensor at the point

\(p = e_1 + 2e_2 + 10e_3\: is\: :\\epsilon =\left[\begin{array}{ccc}0.05x_2&0.05x_1&0\\0.05&0&0\\0&0&0\end{array}\right]\)

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a. The particles speed up and spread apart,  in a liquid as it turns into a gas.

Particles in liquids are dispersed randomly across the container and are relatively near to one another. Due to the closer proximity of the particles, collisions between them happen more frequently than in gases even if particles are moving quickly in all directions.

A liquid has a fixed shape and volume as opposed to a gas, which is how they differ from one another. While a liquid keeps a consistent volume, a gas adopts the shape of its container. Additionally, gas is more compressible than liquid. This implies that a gas can be compressed into a smaller area than a liquid.

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When eight 7.0 W Christmas tree lights are connected in series to each other and to a 120 V source, the resistance of each bulb is 240 Ω.

What is a series circuit?A circuit that has only one pathway for the flow of electric current is called a series circuit. It means that in a series circuit, all the electrical elements are connected one after the other, and the current flows through each component in turn.

As a result, the current is equal throughout the circuit, and the sum of the voltages across each element equals the total voltage of the circuit.The current is the same in all resistors in a series circuit. The voltage is different across each resistor, but the sum of the voltage drops across all of the resistors in the circuit is equal to the applied voltage.

Voltage across each bulb:The voltage across each bulb is not the same in a series circuit. However, the sum of all the voltages across each bulb adds up to the total voltage of the circuit. Here, the total voltage of the circuit is 120 V. Therefore, the voltage across each bulb is 15 V (120/8=15).Resistance of each bulb:

We use Ohm's law, which states that resistance is equal to voltage divided by current, to calculate the resistance of each bulb. In this example, we have the voltage across each bulb, which is 15 V. We can calculate the current flowing through the circuit by dividing the total voltage by the total resistance, which is the resistance of a single bulb multiplied by the total number of bulbs.

The current flowing through the circuit is 0.5 A (120/240=0.5).We can now determine the resistance of each bulb by dividing the voltage across each bulb by the current flowing through it. Resistance of each bulb is 30 Ω (15/0.5=30).Answer: 30 Ω

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Some underwater earthquakes shake the ocean floor and cause large sea waves that destroy property and threaten lives. Such a sea wave is called a "tsunami."

Tsunamis are incredibly powerful and can travel great distances at high speeds. They are caused by the displacement of a large amount of water, usually due to an earthquake, but can also be caused by volcanic eruptions or landslides. Tsunamis can travel across entire ocean basins and can reach speeds of up to 800 kilometers per hour, but they are usually imperceptible in deep water. As the waves approach the shore, their height increases and they can cause devastating damage to coastal communities and infrastructure. Tsunamis can cause widespread destruction and loss of life and are major natural disasters that can affect coastal communities around the world.

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