Gold in its pure form is too soft to be used for most jewelry. Therefore, the gold is mixed with other metals to produce an alloy. The composition of gold alloys are always calculated by mass, using the karat (kt) as a unit of measure. A karat represents a proportion by mass of one part in twenty-four. The higher the karat value, the higher the proportion of gold in relation to the total metal content. Pure gold is therefore 24 karat, while an 18-karat gold alloy contains (at least) 18 parts (by mass) of gold out of 24 parts total.
In a sample of 18-karat gold, 75 percent of the total mass is pure gold, while the rest is typically 16 percent silver and 9 percent copper. If the density of pure gold is rhogold = 19.3 g/cm^3, while the densitites of silver and copper are respectively rhosilver = 10.5 g/cm^3 and rhocopper = 8.90 g/cm^3.
a) What is the overall density rho18kt of this alloy of 18-karat gold?
Express your answer in grams per cubic centimeter to three significant figures.

The separation distance in B is a number times greater than in A, then the force of attraction in B is less than A.

The force of attraction between two charged object is determined by applying Coulomb's law.

Coulomb's law states that the force of attraction or repulsion between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.

Mathematically, this law is written as;

F = Kq₁q₂/r²

where;

From the formula given above, as the distance of separation increases, the magnitude of the force of attraction between the charges decreases. Also, as the distance of separation between the charges decreases, the magnitude of the force of attraction between the charges increases.

Thus, the magnitude of the force of attraction between charged objects is a function of the magnitude of the charges and distance of separation between the charges.

Learn more about force of attraction here: https://brainly.com/question/16033085

#SPJ1

The magnitude of the resultant vector, representing the actual path of the boat, is approximately 1.42 m/s.

To find the magnitude of the resultant vector, we need to consider the boat's velocity and the velocity of the river. The boat's velocity is given as 0.75 m/s, and the river's velocity is given as 1.2 m/s.

Since the boat is moving in a river, we can think of the boat's velocity as a combination of two velocities: its own velocity and the velocity of the river. The resultant vector represents the actual path of the boat, considering both velocities.

To calculate the resultant vector, we can use vector addition. The magnitude of the resultant vector can be found by taking the square root of the sum of the squares of the boat's velocity and the river's velocity. Mathematically, we have:

Resultant magnitude = √(boat velocity^2 + river velocity^2)

Plugging in the given values, we have:

Resultant magnitude = √(0.75^2 + 1.2^2)

= √(0.5625 + 1.44)

= √2.0025

≈ 1.42 m/s

For more such questions on resultant vector,click on:

https://brainly.com/question/110151

#SPJ11

For the roller coaster on a frictionless track:

a. The speed of the car at Point B can be determined using the principle of conservation of energy. The total mechanical energy (sum of kinetic energy and potential energy) remains constant in the absence of external forces like friction. Therefore, if there is no energy loss, the kinetic energy at Point A is equal to the kinetic energy at Point B.

Given that the speed at Point A is 5.0 m/s, the speed at Point B will also be 5.0 m/s.

Answer: A. 5.0 m/s

b. To find the height at which kinetic energy equals potential energy, we can set the equations for kinetic energy and potential energy equal to each other.

At Point A, the roller coaster has both kinetic energy and potential energy. The total mechanical energy is the sum of these two:

Initial mechanical energy at Point A = Kinetic energy at Point A + Potential energy at Point A

At Point B, the roller coaster will have kinetic energy and potential energy, but we want to find the height at which kinetic energy equals potential energy. Let's call this height "h."

Mechanical energy at Point B = Kinetic energy at Point B + Potential energy at Point B

Since the speed at Point B is the same as the speed at Point A (5.0 m/s), the kinetic energy at both points is the same.

Equating the mechanical energy at Point A to the mechanical energy at Point B:

Initial mechanical energy at Point A = Mechanical energy at Point B

Kinetic energy at Point A + Potential energy at Point A = Kinetic energy at Point B + Potential energy at Point B

Since the kinetic energy is the same at both points, simplify the equation:

Potential energy at Point A = Potential energy at Point B

The potential energy at any point is given by the formula mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.

Therefore, at the height h between Points A and B, the potential energy equals the potential energy at Point A:

mgh = mghA

Since the mass and acceleration due to gravity are the same, cancel them out:

h = hA

This means that the height where kinetic energy equals potential energy is the same as the height at Point A.

Answer: The height between Points A and B where kinetic energy equals potential energy is 5.0 m.

c. To determine if the car will reach Point C, compare the potential energy at Point B with the potential energy at Point C. If the potential energy at Point B is greater than or equal to the potential energy at Point C, the car will reach Point C.

Potential energy at Point B = mghB

Potential energy at Point C = mghC

Given that the height at Point C is 8.0 m, compare the potential energies:

Potential energy at Point B ≥ Potential energy at Point C

mghB ≥ mghC

Since the mass (m) and acceleration due to gravity (g) are constant, cancel them out:

hB ≥ hC

Therefore, for the car to reach Point C, the height at Point B must be greater than or equal to 8.0 m.

d. The minimum speed needed at Point A for the car to reach Point C can be determined by comparing the potential energy at Point A with the potential energy at Point C. If the potential energy at Point A is greater than or equal to the potential energy at Point C, the car will have enough energy to reach Point C.

Potential energy at Point A = mghA

Potential energy at Point C = mghC

Given that the height at Point A is 5.0 m, compare the potential energies:

Potential energy at Point A ≥ Potential energy at Point C

mghA ≥ mghC

Since the mass (m) and acceleration due to gravity (g) are constant, cancel them out:

hA ≥ hC

Therefore, for the car to reach Point C, the height at Point A must be greater than or equal to 8.0 m.

To summarize, for the car to reach Point C, the height at Point B must be greater than or equal to 8.0 m, and the height at Point A must also be greater than or equal to 8.0 m.

Find out more on speed and height here: https://brainly.com/question/31252698

#SPJ1

Answer:

A hypothesis is what you think will happen.

A conclusion is the results of an experiment summarized.

Hope this helps.

One of the conclusion about the history of sports that can be drawn from the movie "Champions" is that sports have a long and rich history that is intertwined with the history of human civilization.

From the ancient Olympic Games to the modern-day Olympics, sports have been a way for people to come together and compete in a spirit of sportsmanship and competition. Sports have also been a way for people to express themselves, to build community, and to achieve personal goals.

The movie "Champions" tells the story of a group of young men who come together to form a football team. The team is made up of boys from different backgrounds and with different abilities. However, they are all united by their love of football and their desire to win.

Find out more on history of the sports here: https://brainly.com/question/20843217

#SPJ1

Answer:

maxed out

Explanation:

So for these problems, we are going to need to use the formula

M = image height / object height

in this case, M = 16.6 and the image height is 5.3 cm

Plugging in the numbers, we get 16.6 = 5.3 cm / object height

object height = 5.3/16.6

the object is .3192... cm

rounding to 2 decimal places, the answer is .32 cm

Answer:

We can use the formula for the period of a pendulum:

T = (2 * pi * sqrt(L/g))

where:

T = period (in seconds)

pi = 3.14159...

L = length of the pendulum (in meters)

g = acceleration due to gravity (9.81 m/s^2)

We can solve for L by rearranging the formula:

L = (T^2 * g) / (4 * pi^2)

We are given that the pendulum swings 20 times in 25 seconds. The period of one swing is the time it takes to complete one full cycle, so the period of 20 swings is 25 seconds divided by 20 swings, or 1.25 seconds.

Using this value for T and plugging in g, we get:

L = (1.25^2 * 9.81) / (4 * 3.14159^2)

L ≈ 0.153 meters or 15.3 centimeters

Therefore, the length of the pendulum is approximately 15.3 centimeters.

Answer:

Cyberpunk has worst Physics

The greatest horizontal range of the rocket beyond point A is approximately 17.89 meters.

To find the greatest horizontal range of the rocket beyond point A, we need to analyze the projectile motion of the rocket after it leaves the incline.

We can break down the rocket's motion into horizontal and vertical components. The horizontal component remains constant, while the vertical component is influenced by gravity. Since the rocket is subject only to gravity after leaving the incline, the horizontal velocity remains constant throughout the motion.

First, let's calculate the initial velocity of the rocket in the horizontal direction. We can use the acceleration and the distance traveled along the incline to find the time taken to reach the end of the incline.

Using the equation of motion: distance = initial velocity × time + (1/2) × acceleration × time^2, we can substitute the given values:

200.0 m = 0 × t + (1/2) × 1.60 m/s^2 × t^2.

Simplifying the equation, we get:

\(1.60 t^2 = 200.0,\\t^2 = 200.0 / 1.60,\\t^2 = 125,\)

t = √125,

t ≈ 11.18 s.

Now that we have the time taken to reach the end of the incline, we can calculate the horizontal distance traveled by the rocket using the formula: distance = velocity × time.

Since the horizontal velocity remains constant at 1.60 m/s, the horizontal distance is:

distance = 1.60 m/s × 11.18 s,

distance ≈ 17.89 m.

For more such questions on horizontal range visit:

https://brainly.com/question/25825784

#SPJ8

Answer:

t = 13.3 s

Explanation:

       \(x = v_{o}*t + \frac{1}{2} * a * t^{2} (1)\)

       \(v_{f1} = a* t = 7.0m/s2*3.8s = 26.6 m/s (2)\)

       \(x_{1} = v_{f1}*t + \frac{1}{2} * a * t^{2} (3)\)

       \(x_{2} = v_{f2}*t = 73.3m/s*t (4)\)

Based on the information provided, it is likely that the figure shows an alternating current (AC). The arrows under the electrons pointing right and left, both towards and away from the light bulb, indicate that the direction of the electron flow is changing periodically. This is a characteristic of alternating current, where the flow of electric charge reverses direction periodically, typically in a sinusoidal manner.

In an AC circuit, the voltage also changes direction periodically, which is consistent with the changing direction of the electron flow shown in the figure.

In an alternating current, the flow of electrons periodically reverses direction, causing the current to switch between positive and negative values. This is different from direct current (DC), where electrons flow in a single, constant direction.

For more questions on: current

https://brainly.com/question/1100341

#SPJ11

Solving Gaussian integration with polar coordinates involves converting the integral into polar coordinates, finding the mean and standard deviation of the function, substituting them into the Gaussian distribution formula, and integrating it over the range of the function in polar coordinates.

Gaussian integration with polar coordinates is the process of finding the integral of a function using polar coordinates and the Gaussian distribution. The polar coordinate system is a two-dimensional coordinate system that uses the radius and angle to locate a point in a plane. The Gaussian distribution is a probability distribution that is often used to describe random variables in statistics.
To solve the Gaussian integration with polar coordinates, we need to convert the integral into polar coordinates. The conversion is done using the following equations:
x = r cos(θ)
y = r sin(θ)
r² = x² + y²
θ = tan⁻¹(y/x)
Once the integral is converted into polar coordinates, we can use the Gaussian distribution to solve it. The Gaussian distribution is given by the following formula:
f(x) = (1/σ√(2π))e^(-(x-μ)²/2σ²)
where μ is the mean of the distribution and σ is the standard deviation. To use this formula, we need to first find the mean and standard deviation of the function we are integrating.
After finding the mean and standard deviation, we can substitute them into the Gaussian distribution formula and integrate it over the range of the function in polar coordinates. The result of the integration will be the value of the integral.
for such more questions on polar

https://brainly.com/question/30892780
#SPJ8

Answer:

x = A cos w * t     is a good choice where w = angular frequency

a. When the object is released the displacement is a maximum and proceeds towards zero in a quarter of a cycle.

b. When the object is released the velocity is zero and proceeds towards its maximum value in a quarter of a cycle         v = -w A sin w t

c. When the object is released the acceleration is a maximum since the quantity F = -K x is a maximum and the acceleration goes to zero in 1/4 cycle.

a = -w^2 A cos w t

Answer:

the length of the wire is 134.62 m.

Explanation:

Given;

resistivity of the copper wire, ρ = 2.6 x 10⁻⁸ Ωm

cross-sectional area of the wire, A  = 35 x 10⁻⁴ cm² = ( 35 x 10⁻⁴) x 10⁻⁴ m²

resistance of the wire, R = 10Ω

The length of the wire is calculated as follows;

\(R = \frac{\rho L}{A} \\\\L = \frac{RA}{\rho} \\\\L= \frac{10 \times (35\times 10^{-4}) \times 10^{-4}}{2.6 \times 10^{-8}} \\\\L = 134.62 \ m\)

Therefore, the length of the wire is 134.62 m.

Answer:

C. 5.5 m/s

Explanation:

How fast the balloon travels is determined from the velocity or v

The formula is v = s/t or velocity equals distance divided by time

So, v = 6 meters divided by 1.1 seconds = 5.5 meters per second

Answer:

C. 5.5 m/s

Explanation:

How fast the balloon travels is determined from the velocity or v

The formula is v = s/t or velocity equals distance divided by time

So, v = 6 meters divided by 1.1 seconds = 5.5 meters per second

Answer: Nagaland use an indigenous system of conservation of rain water known as the 'Zabo' or 'Ruza' system. In this system, rain water is collected and stored in catchments along mountain slopes for irrigation and other purposes. The system combines water conservation with forestry, agriculture and animal care.

Manipur: The rainwater can be collected from various hard surfaces such as rooftops and other hard surfaces above ground surfaces. Rains are the main sources of water in Manipur and if rainwater is harvested, the scarcity of water in the state can beeliminated or minimize the water stress in the state during the dormant season.

The diffraction pattern narrows with increasing slit width. The interference pattern is produced by the intersection of the two diffraction patterns.

Despite the fact that light waves typically pass close to barriers, where they tend to bend and spread out, light waves do not always move in straight lines as we traditionally believe. Waves spreading as they move through or around an obstruction is referred to as diffraction.

When waves move from one medium to another, the direction they travel in changes, which is known as refraction. A shift in wavelength and speed always occurs with refraction. Waves bend over gaps and obstructions in a process known as diffraction. When the wavelength gets longer, more diffraction occurs.

To know more about Diffraction visit:

https://brainly.com/question/16096548

#SPJ1

Answer:

The answer is "Momentum and net Energy(that contains mass)".

Explanation:

No matter which type of nuclear reaction, the momentum always is maintained. According to the formula, E = mc^2 of Einstein, energy conservation on the atomic level requires the change in mass of its core which may have been shared throughout the reaction as mass and energy, that's why we can say that the nuclei aren't fully converted into electrical energy rather rearranged and the mass could be changed and dispensed to the nucleon as energy.

Answer: It should be the answer beginning like this

The linear spread is that

The radial acceleration of locations along the blade's outer edge is approximately 17580 \(m/s^2\).

Radial acceleration describes the acceleration of an object travelling on a circular path towards the circle's center. It can be defined as the rate of change of tangential velocity with regard to time and is also known as centripetal acceleration.

Given:

We know that the motor is rotating at 3450 rev/min. One revolution is equal to 2π radians, so we can convert the motor speed to radians per minute:

ω₁ = (3450 rev/min) x (2π rad/rev) = 21675π rad/min

The second pulley is half the diameter of the first pulley, so its angular speed, ω₂, is twice that of ω₁:

ω₂ = 2ω₁ = 43350π rad/min

The circular saw blade is mounted on the same shaft as the second pulley, so it also rotates at the same angular speed:

ω = ω₂ = 43350π rad/min

We can now calculate the linear speed of the small piece of wood moving at the same rate as the rim of the circular saw blade, indicated by v. The circumference of the circle is supplied by the rim of the circular saw blade:

C = πd = π(0.208 m) = 0.6548 m

The linear speed of the little piece of wood is equal to the tangential speed of the circular saw blade's rim:

v = ωr

where r is the circular saw blade's radius, given by half its diameter:

r = d/2 = 0.208/2 = 0.104 m

By substituting the values, we obtain:

v = r = (43350 rad/min) x (0.104 m) x (1/60) = approx. 23.0 m/s

As a result, the linear speed of the little piece of wood moving at the same rate as the rim of the circular saw blade is about 23.0 m/s.

Next, compute the radial acceleration of locations on the blade's outer edge, represented by. The radial acceleration is calculated as follows:

α = rω²

By substituting the values, we obtain:

r2 = (0.104 m) x (43350 rad/min)2 x (1/602) = 17580 m/s2 (approximate)

Therefore, the radial acceleration of points on the outer edge of the blade is approximately 17580 m/s². This high radial acceleration explains why sawdust doesn't stick to the teeth of the saw blade.

Learn more about Radial acceleration, here:

https://brainly.com/question/3388038

#SPJ2

Your question is incomplete, most probably the complete question is:

The motor of a table saw is rotating at 3450{\rm rev/min}. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208{\rm m}is mounted on the same rotating shaft as the second pulley.

The operator is careless and the blade catches and throws back a small piece of wood. This piece of wood moves with linear speed equal to the tangential speed of the rim of the blade. What is this speed?

v =_______________________ m/s

Calculate the radial acceleration of points on the outer edge of the blade to see why sawdust doesn't stick to its teeth.

\alpha=______________________m/s2

The correct statement is " A dry cell battery has magnetic properties.", The correct option is C.

A dry cell battery does generate its own magnetic field due to the flow of electric current through the battery.

The magnetic field is created by the movement of charged particles (electrons) within the battery. This magnetic field is relatively weak and is not typically strong enough to be used for practical applications outside of the battery itself.

So, the magnetic properties of the dry cell battery are important for understanding its behavior within an electrical circuit.

Therefore, The correct answer is option C.

To learn more about magnetic flux click:

brainly.com/question/30201571

#SPJ1

A charge can transfer from one object to another in one of the three ways: Conduction, friction and polarization.

The potential difference causes the charges to move. The direction in which a charge moves depends on the sign of the charge. A negative charge moves from negative potential towards positive potential. A positive charge moves from positive potential towards negative potential.

Answer:

topaz is 8 so no

Explanation:

it would be diamond

Answer:

46.5 N

Explanation:

attached is explanation

Answer:

K.E = 6.4 × 10⁻¹⁶

Velocity = 4.39 × 10⁴ m/sec

Explanation:

From the given information:

The average K.E = P.E (potential energy)

Thus, K.E = q × V

K.E = 1.6 × 10⁻¹⁹ × 4000 V

K.E = 6.4 × 10⁻¹⁶

However,

\(K.E = \dfrac{1}{2}mv^2\)

\(6.4 \times 10^{-16} = \dfrac{1}{2}(400 \times 1.66 \times 10^{-27} ) \times v^2\)

\(\dfrac{6.4 \times 10^{-16} }{\dfrac{1}{2}(400 \times 1.66 \times 10^{-27} )}= v^2\)

\(v^2=1.92771084 \times 10^9\\ \\ v=\sqrt{ 1.92771084 \times 10^9} \\ \\ v = 43905.7 \\ \\ \mathbf{v = 4.39 \times 10^4 \ m/sec}\)

Answer:

PE = 1/2 K X^2

K = 50 N/m

X = .3 m

PE = 1/2 * 50 * .3^2 = 2.25 Joules