In the engine of a locomotive, a cylindrical piece known as a piston oscillates in SHM in a cylinder head (cylindrical chamber) with an angular frequency of 180rev/min. Its stroke (twice the amplitude) is 0.76m. What is its maximum speed?

Answer: B im sorry if its wrong

Explanation:

1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.

3. The cost of electricity from the automobile battery is 38.6 cents per kWh.

4. The current that would be carried through the body is 0.8 mA if dry.

1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.

Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.

3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.

Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.

4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.

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Determine the magnitude of B-A is 53.68

1.4

Magnitude is a term used to describe size or distance. We can relate the magnitude of the movement to the size and movement speed of the object. The magnitude of a thing or an amount is its size. A car moves at a faster pace than a motorcycle, just in terms of speed.

Magnitude is the relative size of an object (mathematics). The mathematical term for a vector's length or size is the norm. By using the symbol |v|, the magnitude of a vector formula can be utilized to determine the length of a given vector (let's say v). This amount is essentially the distance between the vector's beginning point and ending point.

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Answer:

true

Explanation:

depends on how young it starts usually at age 10 or 12 sometimes 13 are the most common ages to start this

The density of the unknown liquid is 1000 kg/m³.

Density is a measure of how much mass is contained in a given volume of a substance. It is calculated by dividing the mass of a substance by its volume. The unit of density is typically expressed in kilograms per cubic meter (kg/m³) in the SI system of units.

Let's start by using the equation for pressure in a liquid:

P = ρgh

where P is the pressure, ρ is the density, g is the acceleration due to gravity, and h is the height of the liquid.

For the mercury barometer, the pressure is atmospheric pressure, which we'll call Patm. So we have:

Patm = ρHggh

where Hg is the density of mercury and h is the height of the mercury column.

For the unknown liquid barometer, the pressure is also atmospheric pressure, and we know that the height of the unknown liquid column is 13.6 times greater than the height of the mercury column. So we have:

Patm = ρunknownghunknown

where unknown is the density of the unknown liquid and known is the height of the unknown liquid column.

Now we can set these two equations equal to each other and solve for the unknown density:

ρHggh = ρunknownghunknown

Divide both sides by gh:

ρHg = ρunknown * 13.6

Divide both sides by 13.6:

ρunknown = (ρHg / 13.6)

The density of mercury is 13,600 kg/m³, so we can plug that in and simplify:

ρunknown = (13600 kg/m³ / 13.6)

ρunknown = 1000 kg/m³

So the density of the unknown liquid is 1000 kg/m³.

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A 66.1-kg boy is surfing and catches a wave which gives him an initial speed of 1.60 m/s. He then drops through a height of 1.59 m, and ends with a speed of 8.51 m/s. The nonconservative work done on the boy is approximately -42.7 kilojoules.

To find the nonconservative work done on the boy, we need to consider the change in the boy's mechanical energy during the process. Mechanical energy is the sum of the boy's kinetic energy (KE) and gravitational potential energy (PE).

The initial mechanical energy of the boy is given by the sum of his kinetic energy and potential energy when he catches the wave:

E_initial = KE_initial + PE_initial

The final mechanical energy of the boy is given by the sum of his kinetic energy and potential energy after he drops through the height:

E_final = KE_final + PE_final

The nonconservative work done on the boy is equal to the change in mechanical energy:

Work_nonconservative = E_final - E_initial

Let's calculate each term:

KE_initial = (1/2) * m * v_initial^2

= (1/2) * 66.1 kg * (1.60 m/s)^2

PE_initial = m * g * h_initial

= 66.1 kg * 9.8 m/s^2 * 1.59 m

KE_final = (1/2) * m * v_final^2

= (1/2) * 66.1 kg * (8.51 m/s)^2

PE_final = m * g * h_final

= 66.1 kg * 9.8 m/s^2 * 0

Since the boy ends at ground level, the final potential energy is zero.

Substituting the values into the equation for nonconservative work:

Work_nonconservative = (KE_final + PE_final) - (KE_initial + PE_initial)

Simplifying:

Work_nonconservative = KE_final - KE_initial - PE_initial

Calculating the values:

KE_initial = (1/2) * 66.1 kg * (1.60 m/s)^2

PE_initial = 66.1 kg * 9.8 m/s^2 * 1.59 m

KE_final = (1/2) * 66.1 kg * (8.51 m/s)^2

Substituting the values:

Work_nonconservative = [(1/2) * 66.1 kg * (8.51 m/s)^2] - [(1/2) * 66.1 kg * (1.60 m/s)^2 - 66.1 kg * 9.8 m/s^2 * 1.59 m]

Calculating the result:

Work_nonconservative ≈ -42.7 kJ

Therefore, the nonconservative work done on the boy is approximately -42.7 kilojoules. The negative sign indicates that work is done on the boy, meaning that energy is transferred away from the boy during the process.

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Answer:

Let’s calculate the molar quantity of gold first.

(1000×g)/(196.97×g×mol^-1) = 5.077 mole

So we know that 1 mole of anything = 6.02214076×10^23 of individual objects.

So we can multiply this value by our molar quantity of gold.

5.077 × 6.02214076×10^23 = 3.057 × 10^24 atoms of gold.

Therefore, 1 kg of a gold bar has 3.057 × 10^24 atoms

Explanation:

To determine the thrust applied by the engines, we can use Newton's second law of motion, which states that force (thrust) is equal to mass times acceleration. In this case, we need to calculate the force required to decelerate the plane from 30 m/s to 25 m/s in 12 seconds.

First, we calculate the change in velocity (∆v):

\(\displaystyle\sf \Delta v=25\,m/s-30\,m/s=-5\,m/s\)

Next, we calculate the acceleration (∆a) using the formula:

\(\displaystyle\sf \Delta a=\frac{\Delta v}{\Delta t}\)

where ∆t is the change in time, which is 12 seconds in this case.

\(\displaystyle\sf \Delta a=\frac{-5\,m/s}{12\,s}\)

Now, we can determine the force (thrust) applied by the engines using Newton's second law:

\(\displaystyle\sf F=m\cdot a\)

where m is the mass of the airplane, which is 480000 kg.

\(\displaystyle\sf F=480000\,kg\cdot \left(\frac{-5\,m/s}{12\,s}\right)\)

Calculating the result:

\(\displaystyle\sf F=-200000\,N\)

Therefore, the engines applied a thrust of -200000 Newtons (N) to decelerate the plane. The negative sign indicates that the thrust is in the opposite direction of the motion.

Answer:

60

Explanation:

Every 60 minutes is an hour

Answer:

60; minute in 1 HR is the answer

The independent variable in this experiment is the act of turning the bulb on and off, while the dependent variable is the behavior of the earthworm in response to changes in light. The scientist can analyze the data collected to determine the impact of light on the earthworm's behavior.

In the experiment where a scientist is turning a bulb on and off to check the behavior of an earthworm, the independent variable is the manipulation performed by the scientist, which is the act of turning the bulb on and off.

The independent variable is the variable that the scientist deliberately changes or controls in order to observe its effect on the dependent variable. In this case, the scientist is interested in investigating how the earthworm responds to changes in light. By turning the bulb on and off, the scientist is manipulating the presence or absence of light in the environment of the earthworm.

The behavior of the earthworm, which is the dependent variable, will be observed and measured in response to the changes in light. The scientist may record various behaviors such as movement, burrowing, or changes in activity level exhibited by the earthworm when the light is turned on and off.

By systematically controlling the independent variable (turning the bulb on and off) and observing the dependent variable (behavior of the earthworm), the scientist can analyze the relationship between light exposure and the earthworm's behavior. This allows for drawing conclusions about how the earthworm responds to light stimuli.

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Answer:

A. The fossils cam from the same organism

Hope this helps!

The fossils came from the same organism. This conclusion is most reasonable.

A fossil is an item that has survived in the Earth's crust as a remnant, impression, or trace of an extinct animal or plant. The main repository for knowledge regarding the evolution of life on Earth is the complex of information preserved in fossils found all across the world.

Fossils of dinosaurs discovered in Alberta, Canada. Only a small percentage of extinct species have been preserved as fossils, and often only those with a sturdy skeleton are capable of doing so. A calcareous skeleton or shell is present in the majority of major groups of invertebrate creatures (e.g., corals, mollusks, brachiopods, bryozoans). Other types have silicon dioxide or calcium phosphate shells (both of which are found in the bones of vertebrates).

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Answer:

In 2004, the Stardust spacecraft made a close flyby of comet Wild-2, collecting comet and interstellar dust in a substance called aerogel. Two years later, the samples made it back to Earth in a return capsule that landed in the Utah desert.

Answer:

30 V

Explanation:

Given that:

The uniform electric field = 50 N/C

Voltage = 80 V

distance = 1.0 m

The potential difference of the electric field = Δ V

E_d = V₁ - V₂

50 × 1 = 80V - V₂

50 - 80 V = - V₂

-30 V = - V₂

V₂ = 30 V

Answer:

Explanation:

Work done is expressed as;

Work done = Force × distance

Given

Force = 1400N

Distance = 0.3m

Workdone = 1400×0.3

Work done = 420joules

Given mass = 70kg

Weight = 700N

To know how high you will ride into the air

420 = 700×d

d = 420/700

d = 0.6m

You ride 0.6m into the air

Answer:

C

Explanation:

I think it's C, because at that point, you are going fastest. Sorry if im wrong, hope this helps.

Answer:

In between and the middle one

Explanation:

Answer:

D. Energy in an isolated system remains constant

General Formulas and Concepts:

Physics

Explanation:

According to the Law of Conservation of Energy, it cannot be created or destroyed.

Therefore, we can eliminate choices A and B right off the bat.

We need to choose between C and D. We know that even though energy cannot be created or destroyed, it can be changed into a different form. Therefore, the correct answer is D.

Answer:

The acceleration during the first 5.6 km of travel is closest to 0.16 m/s²    

Option c) 0.16 m/s² is the correct answer.

Explanation:

Given the data in the question;

since the train starts from rest,

Initial velocity; u = 0 m/s

final velocity; v = 42 m/s

distance covered S = 5.6 km = ( 5.6 × 1000 )m = 5600 m

acceleration a = ?

From the third equation of motion;

v² = u² + 2as

we substitute in our values

( 42 )² = ( 0 )² + [ 2 × a × 5600 ]

1764 = 0 + [ 11200 × a ]

1764 = 11200 × a

a = 1764 / 11200

a = 0.1575 ≈ 0.16 m/s²          { two decimal place }

Therefore, The acceleration during the first 5.6 km of travel is closest to 0.16 m/s²    

Option c) 0.16 m/s² is the correct answer.

For this circuit, the voltage is 4.2 V. then power given is 0.9 W and receiving across 55Ω resistance is 0.07 W and that of 30Ω resistance is 0.14 W. Resistor are connected in parallel, its equvalent resistance is R₁R₂/R₁+R₂.

Both resistor are connected in parallel hence their equivalent resistance in parallel combination is given as,

R = 55*30/(55+30)

R = 19.4 Ω

Power given to the circuit is,

P = V²/R = 4.2/19.4 = 0.9 W

Receiving power taken from 55Ω resistor

P = V²/R = 4.2/55 = 0.07 W

Receiving power taken from 30Ω resistor

P = V²/R = 4.2/30 = 0.14 W

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Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kPa or 1 atm and serves as a reference point for scientific measurements and comparisons related to atmospheric pressure.

Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kilopascals (kPa) or 1 atmosphere (atm). This pressure is used as a reference point for various scientific measurements and is crucial in fields such as meteorology, physics, and engineering.

Atmospheric pressure is caused by the weight of the air above a given point on the Earth's surface. The air is composed of molecules, mainly nitrogen (approximately 78%) and oxygen (approximately 21%), along with other trace gases. These molecules are in constant motion and exert a force on the surfaces they come into contact with, including the Earth's surface.

The standard atmospheric pressure of 101.325 kPa is equivalent to the pressure exerted by a column of mercury 760 millimeters (mm) in height in a barometer at sea level. This measurement was established as a reference point for atmospheric pressure, providing a consistent value for scientific calculations and comparisons.

It is important to note that atmospheric pressure can vary with altitude and weather conditions. As altitude increases, the atmospheric pressure decreases because the column of air above becomes thinner. In areas of high or low pressure systems associated with weather patterns, the atmospheric pressure deviates from the standard value.

The standard atmospheric pressure is a valuable reference in many applications. For instance, it is used as a standard for measuring gas pressure in laboratories and industrial processes. It is also used in meteorology to calculate and compare pressure systems and to study atmospheric phenomena such as wind patterns and weather changes.

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Final Answer:

If there is lower air pressure being "pushed" onto the surface of the water, then the water molecules do not need as much energy to overcome the force of atmospheric pressure pushing on the surface, and they can more easily escape and become a vapor. When the vapor pressure of the liquid is equal to the air pressure surrounding the liquid, it will boil. If you lower the air pressure, you will lower the temperature that water will boil at.

Explanation:

The boiling point of a liquid depends on the balance between the vapor pressure of the liquid and the external pressure, which is typically atmospheric pressure. When the external pressure is reduced, such as at higher altitudes or in a vacuum, the liquid molecules require less energy to escape the surface and become vapor. This is because there is less force pushing down on the liquid's surface, allowing for easier vaporization.

At lower air pressure, the water molecules can overcome the diminished force of atmospheric pressure more readily, requiring less heat energy to transition from liquid to vapor. When the vapor pressure of the liquid equals the surrounding air pressure, the liquid will start to boil.

Boiling point and vapor pressure are fundamental concepts in thermodynamics and phase transitions. Understanding how pressure affects the boiling point of liquids is crucial in various scientific and engineering applications, such as cooking, chemical processes, and high-altitude cooking.

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The bullet fired at an angle of 80° with the horizontal and an initial velocity of 420 m/s can travel up to a height of 825.4 meters and a horizontal distance of 80.1 meters after 2 seconds.

To determine the height and horizontal distance traveled by a bullet fired at an angle of 80° with the horizontal and an initial velocity of 420 m/s after 2 seconds, we can use the equations of motion.

Firstly, we can break down the initial velocity of the bullet into its horizontal and vertical components. The horizontal component remains constant throughout the motion and is given by:

Vx = Vcosθ

where V is the initial velocity and θ is the angle of projection. Substituting the given values, we get:

Vx = 420cos80° = 40.05 m/s (approx.)

The vertical component of the initial velocity can be calculated as:

Vy = Vsinθ

Substituting the given values, we get:

Vy = 420sin80° = 416.95 m/s (approx.)

Now, we can use the following equations of motion to determine the height and horizontal distance traveled by the bullet after 2 seconds:

Vertical motion:

y = yo + Voyt + (1/2)gt^2

where y is the vertical displacement, yo is the initial height (assumed to be zero), Voy is the initial vertical velocity, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.

Substituting the given values, we get:

y = 0 + 416.95(2) - (1/2)(9.8)(2)^2

y = 825.4 m (approx.) Therefore, the bullet can travel up to a height of 825.4 meters after 2 seconds. Horizontal motion:

x = xo + Voxt

where x is the horizontal displacement, xo is the initial horizontal position (assumed to be zero), Vox is the initial horizontal velocity, and t is the time.

Substituting the given values, we get:

x = 0 + 40.05(2)

x = 80.1 m (approx.)

Therefore, the bullet can travel a horizontal distance of 80.1 meters after 2 seconds.

In summary, the bullet fired at an angle of 80° with the horizontal and an initial velocity of 420 m/s can travel up to a height of 825.4 meters and a horizontal distance of 80.1 meters after 2 seconds.

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Answer: 13.33

Explanation:

F=ma

m= 4.5 kg

F= 60 N

60 N/4.5 kg =13.33 m/s

Answer:

R = (-2î − 6ĵ + 10k^)m

Explanation:

We are given;

D = (2î − 6ĵ)

Now, we want to find R such that,

D + R = −5Dĵ

Plugging in (2î − 6ĵ) for D in the R equation gives;

(2î − 6ĵ) + R = -5(2î − 6ĵ)j

(2î − 6ĵ) + R = -10k + 0

This is because in vector multiplication, i × j = k and j × j = 0

Thus;

(2î − 6ĵ) + R = -10k

Making R the subject gives;

R = -2î − 6ĵ + 10k^

Thus, the displacement vector R is;

R = (-2î − 6ĵ + 10k^)m

The value of  force b if the magnitude the force is 26N is determined as 24 N.

The value of force is calculated by applying the formula for determining the magnitude of a force as shown below;

The magnitude of a force is calculated as;

F = √ x² + y²

where;

The given magnitude of the force = 26 N

The x component of the force = 10

The y component of the force = b

26 = √ ( 10²  + b² )

26² = 10² + b²

676 = 100 + b²

b² = 676 - 100

b² = 576

b = √ 576

b = 24 N

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The amplitude of the subsequent oscillations is 0.08m and The block's speed at the point where x= 0.400 A is 0.34m/s.

a) conservation of energy

1/2 mv^2 = 1/2 kx^2 + 1/2 mv^2

0.7*.37^2 =15*x^2

x=0.08 m

b) The velocity is

1/2 mv^2 = 1/2 kx^2 + 1/2 mv^2

0.7*.37^2 = 15*(0.4*0.08)^2 + 0.7*v^2

v = 0.34 m/s

Oscillations refer to repetitive back-and-forth motions or fluctuations around a central equilibrium point. These motions can be observed in a wide range of physical systems, such as pendulums, springs, electrical circuits, and waves.Oscillations play an important role in many areas of science and engineering, including physics, chemistry, biology, and electronics.

Oscillations can be characterized by several key properties, including their amplitude (the maximum displacement from the equilibrium point), frequency (the number of oscillations per unit time), and period (the time required to complete one full oscillation). The behavior of oscillatory systems can be described using mathematical equations, such as the harmonic oscillator equation, which relates the restoring force to the displacement of the system from its equilibrium position.

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