an alpha particle (charge 2e, mass 6.64×10-27) moves head-on at a fixed gold nucleus (charge 79e). if the distance of closest approach is 2.0×10-10m, what was the initial speed of the alpha particle?

The total mass of the system after combustion is therefore 1Kg (ashes) + 9Kg (gases and water vapor) = 10Kg, which is the same as the total mass before combustion.

Therefore, if the mass of the logs before burning was 10Kg, the total mass of the system before combustion was 10Kg (logs) + 0Kg (oxygen) = 10Kg. After combustion, the mass of the ashes was 1Kg, so the mass of the remaining gases and water vapor released into the atmosphere was 10Kg - 1Kg = 9Kg.

There are three fundamental quantities in mechanics that are conserved. These are power, forward motion, and angular momentum.

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Answer

as it is given that 1hp=746W

100W=?hp

746hp=100W   (to find the value of hp we divide 100 on both sides)

746/100=hp

hp=7.46

The curve should be banked at an angle of approximately 9.6 degrees.

When a car is traveling along a banked curve, there are two forces acting on it: the force of gravity (which pulls the car down) and the normal force (which pushes the car towards the center of the curve). If the curve is banked at the correct angle, these two forces will combine to provide the necessary centripetal force to keep the car moving in a circular path. The formula for the centripetal force is:F_c = m v^2 / r.where F_c is the centripetal force, m is the mass of the car, v is its velocity, and r is the radius of the curve.

In the absence of friction, the necessary centripetal force is provided entirely by the normal force, which is perpendicular to the surface of the road. The normal force can be resolved into two components: one perpendicular to the surface of the road (which balances the force of gravity) and one parallel to the surface of the road (which provides the necessary centripetal force).The angle of the curve, θ, is related to the velocity of the car and the radius of the curve by the equation: tan(θ) = v^2 / (g r)where g is the acceleration due to gravity.

Substituting the given values, we get: tan(θ) = (56 mph)^2 / (32.2 ft/s^2 * 1000 ft)tan(θ) = 0.168Taking the inverse tangent of both sides, we get:θ = tan^-1(0.168)θ = 9.6 degrees. Therefore, the curve should be banked at an angle of approximately 9.6 degrees.the curve should be banked at an angle of approximately 9.6 degrees.

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To determine the mass of granite, we must first understand the definition of density. Density is defined as the amount of matter present in a substance per unit volume.

We use the formula: density = mass/volume to calculate the mass of a substance given its density and volume. To calculate the mass of 54.3 m³ of granite, we use the following steps:

Given Density of granite = 2700 kg/m³Given volume of granite = 54.3 m³Let us substitute the values in the formula of density:density = mass/volume Solving for mass, we get:mass = density × volume Substitute the given values of density and volume into the formula:mass = 2700 kg/m³ × 54.3 m³

The m³ unit in the volume cancels out, leaving us with kg as the unit for mass.

We then solve the equation to get the mass:mass = 146,610 kg

Therefore, the mass of 54.3 m³ of granite is 146,610 kg.

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The efficiency of the incandescent lamp is only 2%, and the remaining 98 W of electrical energy that it consumes per second is transformed into heat and electromagnetic radiation.

a form of energy that flows in waves and has both magnetic and electrical fields. both man-made and natural factors contribute to it. Low energy to high energy electromagnetic radiation is all available. It consists of x-rays, gamma rays, infrared, visible, and ultraviolet light as well as radio waves and microwaves.

The components of the EM spectrum are designated as gamma rays, Anti - anti, ultraviolet radiation, photons, infrared light, and radio waves, in that sequence, from highest to lowest energy. a subset of is microwaves.

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Answer:

the answer is letter D.

Explanation:

i hope this is help

Answer:

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Explanation:

Answer:

b. The branch with more resistance will have less current than the other branches

Explanation:

The resistance of a resistor, is the property of a conductive material that prevents or oppose the flow of current through it

The resistivity is the resistance per unit length per unit cross sectional area

Based on the nature of electric current flow and resistance; the electric current flows through the path of least resistance

Therefore, more of the electric current will flow through the branch with lowest amount of resistance while a lesser amount of current will flow through the branch with more resistance.

The amount of heat produced by the octane needed to drive 741 kilometers in the given car is approximately 1,719,120 kilojoules (kJ).

To determine the amount of heat produced by the octane used to drive 741 kilometers in a car with an average fuel efficiency of 18.9 kilometers per liter, we need to consider the energy content of octane and the fuel consumption.

The energy content of octane is typically around 44 megajoules per liter (MJ/L). To convert this to kilojoules per kilometer (kJ/km), we divide by the average fuel efficiency:

Energy content of octane = 44 MJ/L

Fuel efficiency = 18.9 km/L

Energy content per kilometer = (44 MJ/L) / (18.9 km/L)

= 2.32 MJ/km

To find the heat produced for 741 kilometers, we multiply the energy content per kilometer by the distance traveled:

Heat produced = (2.32 MJ/km) * (741 km) = 1,719.12 MJ

Converting this to kilojoules:

Heat produced = 1,719.12 MJ * 1,000 kJ/MJ

= 1,719,120 kJ

Therefore, the amount of heat produced by the octane needed to drive 741 kilometers in the given car is approximately 1,719,120 kilojoules (kJ).

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A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.

Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.

Given in the question a work of  1294 joules is used to move a ball 100 M  then,

Work = force x distance. In units, Joules = Newtons x meters.

So, 1294  = F Newtons x 100 meters

Force , F  = 12.94 joules.

A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.

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Connect the functional deference in these girdles to the anatomical variations. The pelvic girdle's job is to join and transmit the body's weight to the lower limbs.

The shoulder girdle, which is made up of the shoulder blade (scapula) and the collar bone (clavicle), serves as the skeletal connection between the arm and the trunk. To the detriment of stability, the shoulder girdle's three joints are designed to permit a wide range of arm motion. The rotator cuff muscles serve as dynamic ligaments to offset this.

The trapezius, levator scapula, rhomboid, and serratus anterior muscles, which come from the main skeleton and insert on the scapula, move and stabilize this structure; and (b) the rotator cuff muscles, which are divided into three main groups in the shoulder and control arm movement.

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Answer:

Element Chart

Explanation:

It is a chart that provides many different elements.

Aesthetic pleasure is sought by combining sensory and intellectual traits in leisure activities like painting and coaching.

Beauty, art, and sensory experiences that stimulate the senses and provoke emotional and intellectual responses are called aesthetic pleasure. It involves sensory, intellectual, or both.

In painting, people may enjoy the colours, textures, and composition. Artmaking lets people express themselves, use their imagination, and enjoy the process and outcome.

Coaching also provides aesthetic enjoyment through intellectually fascinating interactions, problem-solving, and helping others reach their goals. Sharing thoughts and expertise can be intellectually satisfying.

Combining sensory and intellectual qualities gives people a multidimensional, holistic enjoyment. This sensory-intellectual interaction enriches leisure and promotes its enjoyment and fulfilment.

In conclusion, aesthetic pleasure is the enjoyment and appreciation of sensory and intellectual impulses in leisure activities like painting and coaching.

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The average emf induced in the coil is 0. 533 V. The average emf induced in the coil can be calculated using Faraday's law of electromagnetic induction. The formula for the average emf induced in a coil is given by:

E = N * (ΔΦ / Δt)

where E is the average emf, N is the number of turns in the coil, ΔΦ is the change in magnetic flux, and Δt is the time interval.

In this case, the number of turns is 80, and the time interval is 0.0600 s. The change in magnetic flux can be calculated by finding the initial and final flux values.

The initial flux is given by Φ1 = B * A * cos(θ1), where B is the magnetic field, A is the area of the coil, and θ1 is the angle between the coil and the magnetic field.

The final flux is given by Φ2 = B * A * cos(θ2), where θ2 is 90 degrees since the coil is perpendicular to the field.

Substituting the values into the formula, we have:

\(E = 80 * (Φ2 - Φ1) / Δt\)

Calculating the values, we find:

\(Φ1 = (1.10 T) * (0.25 m) * (0.40 m) * cos(37.0°) = 0.536 WbΦ2 = (1.10 T) * (0.25 m) * (0.40 m) * cos(90°) = 0.110 WbΔΦ = Φ2 - Φ1 = 0.110 Wb - 0.536 Wb = -0.426 Wb\)

Substituting the values into the formula, we get:

E = 80 * (-0.426 Wb) / 0.0600 s = -0.568 V

Taking the absolute value, the average emf induced in the coil is 0.568 V or approximately 0.533 V.

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The distance between the boy and the hill is 17 metersTo calculate the distance between the boy and the hill, we can use the formula: distance = (velocity × time) / 2.

Given that the velocity of sound in air is 340 m/s and the time taken for the echo to reach the boy is 0.1 seconds, we can substitute these values into the formula:

distance = (340 m/s × 0.1 s) / 2 = 34 m · s / 2 = 17 m.

This calculation is based on the assumption that the sound traveled from the boy to the hill and back, so the total distance traveled by the sound is twice the distance between the boy and the hill

. By dividing the total distance by 2, we can determine the actual distance between the boy and the hill, which in this case is 17 meters.

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Answer:

Yes, a mixture can be made up of just elements and no compounds. The elements never experiance a chemical interaction and stay only in physical contact with each other.

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The Law of Diminishing Marginal Physical Product sets in when the level of variable input increases to a point where each additional unit of input leads to a smaller increase in output. This occurs due to limited resources, inefficiencies, and diminishing returns.

The Law of Diminishing Marginal Physical Product states that as more units of a variable input are added to a fixed input, holding other inputs constant, the marginal physical product of the variable input will eventually decrease. In simpler terms, it means that after a certain point, adding more of a variable input will result in smaller increases in output.

This phenomenon occurs due to several factors. Firstly, as more units of the variable input are employed, the fixed input may become a constraint, limiting the potential increase in output. Additionally, inefficiencies and diminishing returns come into play. As more of the variable input is added, the efficiency of utilizing each additional unit may decrease, leading to smaller productivity gains.

The exact point at which the Law of Diminishing Marginal Physical Product sets in depends on various factors such as the nature of the production process, the quality of inputs, and technological factors. It is crucial for producers to understand this concept as it helps them optimize their production decisions and resource allocation, ensuring efficiency and avoiding diminishing returns.

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The formula for torque, represented by the letter τ (tau), is τ = F × r × sin(θ), where F is the force applied, r is the radius at which the force is applied, and θ is the angle between the force vector and the lever arm.

Here, the given force F = 30 N and the radius r = 2.00 m.

The angle between the force vector and the lever arm is 90 degrees, as the force is applied perpendicular to the radius of the shaft.

So, the torque can be calculated as follows:

τ = F × r × sin(θ)

τ = 30 N × 2.00 m × sin(90°)

τ = 60 Nm

Therefore, the torque on the shaft is 60 Nm.

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The required force to push the box straight up at a constant speed is zero.

The net force on the box is calculated by applying Newton's second law of motion as follows;

∑F = 0

F - Ff = ma

(at constant speed, acceleration is zero)

\(F- F_f = ma\\\\F - 0 = 0\\\\F = 0\)

Thus, the required force to push the box straight up at a constant speed is zero.

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EP is type of weight which is know as edible portion weight.

This data represents the weight "as purchased" (AP). We have 9 pounds of edible meat after cooking, removing the skin, and separating the meat from the bones. This is the weight of the edible portion (EP).

Let's take an example?

1. Note the item's AP cost, or the price you paid for it:

A) Whole tenderloin – $23.00/kg

B) Whole sockeye salmon – $5.00/kg

C) Canned tuna flakes in brine – $5.50/750 mL can

2. Acquire the factor. All of your calculations are converted into percentages using this factor. The equation is:

100 ÷ yield % = factor

A) 100 ÷ 70 tenderloin = 1.42

B) 100 ÷ 64.51 salmon = 1.55

C) 100 ÷ 53.33 canned tuna = 1.875

3) After the factor has been identified, figuring out how much your EP will cost is simple. The equation is:

factor x as purchased cost per (unit) = edible product cost per (unit)

A) Tenderloin $23.00 x 1.42 = $32.66/kg

B) Salmon $5.00 x 1.55 = $7.75/kg

C) Canned tuna $5.50 x 1.875 = $10.78/750 mL

This is the procedure to calculate EP weight.

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The correct answer is D) all of the above.

An acoustical engineer in designing a music hall is concerned with all of the following factors:

A) Echoes: Echoes refer to the reflections of sound waves that arrive at the listener's ear after bouncing off surfaces. Unwanted echoes can distort the sound and affect the clarity and intelligibility of the music. An acoustical engineer aims to control and minimize echoes in order to create a pleasing and balanced acoustic environment.

B) Reverberations: Reverberation is the persistence of sound in an enclosed space due to multiple reflections. It contributes to the perceived richness and envelopment of sound in a music hall. An acoustical engineer aims to optimize the reverberation time, balancing the decay rate of sound to create a desirable listening experience.

C) Reflection: Reflection refers to the bouncing back of sound waves when they encounter a surface. The way sound reflects off different surfaces in the music hall affects the sound quality, directionality, and spatial characteristics. An acoustical engineer considers the angles and materials of surfaces to control sound reflection and achieve the desired acoustic response.

Therefore, an acoustical engineer takes into account all of these factors (echoes, reverberations, and reflections) when designing a music hall, making the correct answer D) all of the above.

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We may be aware that, for example, a car leaving a stop sign would move farther in a given amount of time the faster it accelerates.

acceleration is the rate of change in both speed of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. So because direction is always shifting, motion on a circle accelerates even while the speed is constant.

An object's velocity is altered by a net force, and acceleration increases with net force. To accelerate at the same rate as less massive objects, more massive objects need greater net forces.

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The direction of ocean gyre will change if the earth were spinning in the opposite direction

A gyre is a large system of ocean currents which moves in circular path . They are caused due to Coriolis effect. Because of the rotation of the Earth , ocean currents in the northern hemisphere tend to move in a clockwise direction and currents in the southern hemisphere move in an anti-clockwise direction.

If earth spin get reversed , it will also reverse the motion of ocean current an also affects changes in weather pattern

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The total weight of the riders lifted into air is determined as 10,290 N.

The total weight of the riders lifted into air is calculated by applying the following kinematic equation as shown below.

Mathematically, the total weight of the riders is calculated as follows;

W = Nmg

where;

W = ( 15 ) ( 70 kg ) ( 9.8 m/s² )

W = 10,290 N

Thus, the total weight lifted by the rider is a function of the individual mass of the riders.

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Answer: The gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer then it increases by a factor of 1 9/16.

Reason:

Mathematically it can be represented as, F = Gm1m2/r2 Where, F is the Gravitational force between two objects measured in Newton (N). G is the Universal Gravitational Constant with a value of 6.674 × 10-11 Nm2kg-2.

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Answer:

A network has 5 basic components viz. clients, servers, channels, interface devices and operating systems.

The justification for the citizens' concerns is that "leaks or punctures in the pipeline could cause large explosions". Option C is ansswer.

It justifies the concerns of the citizens regarding the new natural gas pipeline. Natural gas is a highly flammable substance, and if there are any leaks or punctures in the pipeline, it can lead to the accumulation of gas and potentially result in dangerous explosions. This poses a significant risk to the safety of the people living in the vicinity of the pipeline.

Options A, B, and D do not directly address the safety concerns associated with the pipeline. Option A discusses the inconvenience of driving and working around the above-ground pipeline but does not highlight any safety issues. Option B states that natural gas is more expensive than petroleum, which is unrelated to the safety concerns of the citizens. Option D claims that natural gas is a very dirty form of energy, but this does not directly address the potential risks and hazards associated with the pipeline.

Therefore, option C, "Leaks or punctures in the pipeline could cause large explosions," is the correct answer as it justifies the concerns of the citizens regarding the safety implications of the natural gas pipeline.

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Force is the physical action that can give acceleration to a body upon which it is applied

The true statements about the forces and accelerations of each when they collide are;

The reasons why the above statements are true are given as follows:

Known:

Mass of the truck, m₁ = 5,000 kg

Mass of the car, m₂ = 1,000 kg

Velocity of the truck = \(v_t\)

Velocity of the car = \(v_c\)

According to Newton's third law of motion, action and reaction are equal and opposite

Force, F = Mass, m × Acceleration, a

Let a₁ represent the acceleration of the truck and let a₂ represent the acceleration of the car, we have;

F = 5,000 × a₁ = 1,000 × a₂

\(a_2 = \dfrac{5,000 \ kg}{1,000 \ kg} \times a_1 = 5 \cdot a_1\)

Therefore;

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