the king gives arhcimedes his new crown and asks him to check if it is pure gold. archimedes finds the weight of the crown in air to be 2 stones and the weight while it is submerged in water is 1.83 stones. is the crown made of pure gold?

Given,

On simplifying,

Thus,

Or

Thus, x=9 and x=-15

Therefore the correct answer is the third option

Answer:

She will travel 180 kilometers.

Explanation:

You take the time and multiply it by your distance, and you get your total distance.

d = v.t

d = 60 km/h x 3 h

d = 180 km

The centripetal acceleration of the rubber stopper is 0.34 N. The explanation is as follows.

An object’s position relative to the center of a circle is given by the position vector, r. As the object moves, the length of the vector remains constant, but the direction changes. Velocity is displacement over time. So, displacement would be Δr. Recall that average velocity is Δd/Δt, so for circular motion

Given,

m = 13g

T = ?

r = 0.93m

Calculations:

\(a=4\pi ^{2} r/T\)

\(a=4(3.14)^{2} (0.93m) / (1.18s)^2=26m/s^{2}\)

T= ma= (0.013kg) (26 m/\(s^{2}\))

T = 0.34 N

* Note for force in N, mass must be in kg.

If forces come in pairs, is there an “outwardforce” causing the stopper to stay out there at the end of the string? When a car turns left sharply, is there a force causing a passenger to move toward the door? NO! Newton’s first law says an object in motion continues… This outward motion is simply the inertia of the object and this “centrifugal force” is FICTITIOUS!

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Answer: An owl cause it is a organism

Explanation:

Blue bird is the organism are most likely to die from competition. Bluebird are replaced by the sparrow in many conditions.

Competition is most commonly characterized as the interaction of people vying for a limited-supply shared resource,

Competition in organism can also be defined as the direct or indirect interaction of organisms that results in a change in fitness when they share the same resource.

Bluebird are replaced by the sparrow in many conditions.

Hence, blue bird is the organism are most likely to die from competition.

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The magnitude of the average angular acceleration of the wheel is found to be 0.412 rad/s².

Firstly we have to convert the angular velocities from rpm to rad/s.

ω₁ = (78.0 rpm) × (2π/60 s) = 8.19 rad/s

ω₂ = (22.8 rpm) × (2π/60 s) = 2.39 rad/s

Next, we can use the formula for average angular acceleration,

α = (ω₂ - ω₁)/θ, angle through which the wheel rotates is θ. We need to convert 320° to radians,

θ = (320°) × (2π/360°)

= 5.585 rad

Substituting the values, we get,

α = (2.39 rad/s - 8.19 rad/s)/5.585 rad

α ≈ -1.054 rad/s²

The negative sign indicates that the wheel is slowing down, which we already knew from the problem statement. To get the magnitude of the average angular acceleration, we can take the absolute value,

|α| ≈ 1.054 rad/s²

Therefore, the magnitude of the average angular acceleration of the wheel is 1.054 rad/s², or approximately 0.412 rad/s² to three significant figures.

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Answer:

the answer to this question is A globular cluster

Explanation:

1/R = 1/R1 + 1/ R2

1/R = 1/960 + 1/640

1/R = 5 / 1920

So , Req = 384 + R3

Req = 384 + 180

\(\huge\red{A}\pink{N}\orange{S}{W}\blue{E}\green{R} \)

Answer:

concave mirror

Explanation:

Only a concave mirror is capable of producing a real image and this only occurs if the object is located a distance greater than a focal length from the mirror's surface.

Answer:

concave mirror

Explanation:

it has a reflecting surface

The third trial of the lab experiment did not work out because in most probability the magnets lost their magnetic properties or got demagnetized.

Demagnetization is the phenomenon by which magnets lose their magnetic property or are weakened. We see that the magnets moved just a little after she left them after the first two trials of her experiment. It is possible that because the magnets moved a little they repelled each other and this only happens when like poles face each other.

The demagnetizing field of one magnet will affect the other and vice versa because their magnetic fields are opposite in direction. Consequently, magnetic field strength weakens gradually. Thus the magnets did not work after the 3rd trial.

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Answer:

There are four forces acting on a bird in flight, lift, thrust, drag and gravity (weight). These four forces act in pairs, as shown on the right. If a bird is to fly it must overcome drag and weight by generating a greater force of thrust and lift.

The acceleration of the object when it will start falling from the height above the earth is ( 1/9 ) gₓ.

Acceleration due to gravity from the height = gₙ

Acceleration due to gravity on earth = gₓ

Distance between the core of earth and the point at a height above earth = h

Radius of the earth = rₓ

Now, for h = rₓ

= Using the gravitational formula

= gₙ = gₓ ( rₓ / (rₓ + rₓ))²

= gₙ = ( 1/4 ) gₓ

Similarly for h = 2rₓ,

= gₙ = gₓ ( rₓ / (rₓ + rₓ))²

= gₙ = ( 1/9 ) gₓ

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The freshwater reservoirs on earth are ranked by volume, with the one with the biggest volume at the top is-

1. ice caps; 2. groundwater; 3. lakes; 4. rivers.

The atmosphere, the earth's surface, and the earth's interior are the three main locations where water can be kept.

Thus, the freshwater reservoirs on earth are ranked by volume, with the one with the biggest volume at the top is-

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Answer:

Density is important because it determines what substances floats and sinks.

Explanation:

Lightning arresters are devices that are used in electrical systems to protect them from the destructive power of lightning. The use of lightning arresters in electrical systems is necessary because lightning is one of the most significant sources of transient over voltages, which can cause serious damage to electrical systems and equipment.

Lightning arresters work by providing a low-impedance path for the high-voltage surges caused by lightning. They are designed to conduct the high currents that are generated by lightning strikes to the ground, thus protecting the electrical system from damage.

During normal operation, lightning arresters are an open circuit. However, during a lightning strike, they become a closed circuit, providing a low-impedance path for the lightning current. When the lightning strikes the lightning arrester, an arc is created between the electrodes of the arrester, which is like a short circuit.

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The maximum elevation the rocket reach is 487 m.

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

First for the acceleration

d = vot + .5at2

d = 0 + (.5)(20)(4)2 = 160 m

At that height, the velocity will be

vf = vo + at

vf = 0 + (20)(4) = 80 m/s

The vf2 = vo2 + 2ad for the portion under gravity's control

0 = 802 + 2(-9.8)d

d = 327 m

Total height = 327 + 160 = 487 m

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Answer:

Huh????????

Explanation:

Answer:\(\sqrt {\frac{2}{3}}\,A\)

Explanation:

\(v^2=\omega^2(A^2-x^2)\\KE_{\rm max} = \frac 12 m \omega^2A^2\\\frac 13\cdot \frac 12 m \omega^2A^2= \frac 12 m v^2=\omega^2(A^2-x^2)\Rightarrow x=\sqrt{\frac 23}\,A\)

Answer: it goes the same speed as the car

Explanation:

Answer: the answer is true :-)

Explanation:

Answer:

1) Please find attached, created with Microsoft Visio

2) The acceleration of the masses connected by the light string is 0.00735 m/s²

3) The tension in the cord is 0.147 N

4) The time it would take the block to go 1.2 m to the edge of the table is approximately 18.07 s

5) The velocity of the cart as soon as it gets to the edge of the table is 0.042 m/s

Explanation:

1) Please find attached, the required free body diagram, showing the tension, weight and frictional (zero friction) forces acting on the cart and the mass created with Microsoft Visio

2) The acceleration of the masses connected by the light string is given as follows;

F = Mass, m × Acceleration, a

The mass of the truck, M = 20.0 kg

The mass attached to the string, hanging rom the pulley, m = 0.0150 kg

The force, F acting on the system = The pulling force on the cart = The tension on the cable = The weight of the hanging mass = 0.0150 × 9.8 = 0.147 N

The pulling force acting on the cart, F = M × a

∴ F = 0.147 N = 20.0 kg × a

a = 0.147 N/(20.0 kg) = 0.00735 m/s²

The acceleration of the truck = a = 0.00735 m/s²

3) The tension in the cord = F = 0.147 N

4) The time, t, it would take the block to go 1.2 m to the edge of the table is given by the kinematic equation, s = u·t + 1/2·a·t²

Where;

s = The distance to the edge of the table = 1.2 m

u = The initial velocity = 0 m/s (The cart is assumed to be initially at rest)

a = The acceleration of the cart = 0.00735 m/s²

t = The time taken

Substituting the known values, gives;

s = u·t + 1/2·a·t²

1.2 = 0 × t + 1/2 ×0.00735 × t²

1.2 = 1/2 ×0.00735 × t²

t² = 1.2/(1/2 ×0.00735) ≈ 326.5306

t = √(1.2/(1/2 ×0.00735)) ≈ 18.07

The time it would take the block to go 1.2 m to the edge of the table = t ≈ 18.07 s

5) The velocity, v, of the cart as soon as it gets to the edge of the table is given by the kinematic equation, v² = u² + 2·a·s as follows;

v² = u² + 2·a·s

u = 0 m/s

v² = 0² + 2 × 0.00735 × 1.2 = 0.001764

v = √(0.001764) = 0.042

The velocity of the cart as soon as it gets to the edge of the table = v = 0.042 m/s.

Answer:

There's no answer I'm just taking points like you did me,  so thank you for your points I'll put them to good use ;)

a) The shoppers who walked from the car to the door in 20 minutes walked for 1200 seconds.

b) The shoppers' walking speed in meters per second is 0.67m/s.

A) In the question, we are already given how long it took for the shoppers to walk from their car to the entrance of the shopping mall, although it's in minutes. We are told that it took them 20 minutes to walk from their car to the entrance. In order to know how long they were walking in seconds, we would have to multiply by 60. This is because there are 60 seconds in one minute. Hence, to find the number of seconds in 20 minutes, we multiply 20 minutes by 60 seconds, thus;

                     20 minutes × 60 seconds = 1200 seconds.

B) Now that we know how long the shoppers were walking in seconds, we can use it to get their walking speed. To find the speed of any moving object, we divide the distance the object travelled by the time taken for the object to cross that distance in seconds. In the question, we are told that the shoppers parked their car 800 meters away from the entrance. This means that the distance they walked to get to the entrance is also 800 meters. Thus to find their walking speed;

                               Speed = distance ÷ time

                               Speed = 800 meters ÷ 1200 seconds

                              Speed = 0.67 m/s.

Therefore, the shoppers walked for 1200 seconds at 0.67m/s.

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Answer: Your answer is 2 grams!

Explanation: Hope this helps!

Answer:

2000 mg = 2 grams

Explanation:

Have a great rest of your day
Sincerely, the one and only
-Mr. Universe

The probability of success on a Bernoulli trial is given as 0.29. The probability of having 5 failures in 6 trials is approximately 0.159.

In a Bernoulli trial, we have two outcomes: success or failure. The probability of success is 0.29, which means the probability of failure is 1 - 0.29 = 0.71.

To find the probability of having 5 failures in 6 trials, we can use the binomial probability formula. The formula is:

\(P(X=k) = C(n, k) * p^k * (1-p)^(n-k)\)

where P(X=k) is the probability of getting exactly k failures, n is the number of trials, p is the probability of failure, and C(n, k) is the number of ways to choose k failures from n trials.

In this case, n = 6, k = 5, p = 0.71, and C(n, k) = C(6, 5) = 6.

Plugging these values into the formula, we get:

P(X=5) = 6 * (0.71)^5 * (1-0.71)^(6-5)

Simplifying this expression, we find:

P(X=5) = 6 * 0.71^5 * 0.29^1

Calculating this expression, we find:

P(X=5) = 6 * 0.092 * 0.29

P(X=5) ≈ 0.159

Therefore, the probability of having 5 failures in 6 Bernoulli trials is approximately 0.159.

In summary, when the probability of success in a Bernoulli trial is 0.29, the probability of having 5 failures in 6 trials is approximately 0.159.

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In general, the mean age is expected to be close to the median, assuming a roughly symmetrical distribution. However, if the distribution is skewed (meaning that there are more values on one side of the median than the other), the mean may be pulled away from the median towards the more extreme values.

For example, if there are many older individuals in a population but only a few younger ones, the mean age may be higher than the median age. On the other hand, if there are many younger individuals and only a few older ones, the mean age may be lower than the median age.

It is important to note that the relationship between the mean and median can provide insight into the shape of the distribution, but it is not always a definitive indicator.

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The efficiency of the heat engine is about 28%.

The efficiency of a heat engine is defined as the ratio of the work output to the heat input. Mathematically, it can be expressed as:

Efficiency = (Work output) / (Heat input)

In this case, the heat engine takes in 500 J of heat from a high-temperature reservoir and does 140 J of work. Therefore, the heat input is 500 J and the work output is 140 J.

Efficiency = 140 J / 500 J

Calculating the result:

Efficiency ≈ 0.28 or 28%

Therefore, the efficiency of the heat engine is approximately 28%.

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As the height of the hole increases, the velocity of the stream increases, results in a higher distance from the beaker. Therefore, the distance of the stream from the hole Y will be less than that from X thus, less than 5 cm is correct.

The speed of stream can be determined using the height and acceleration due to gravity g. We can use the equation for velocity using the parameters g and h.

v = √2gh

Therefore, as the height h increases, v increases.

Similarly the distance s = vt

therefore, the distance increases with v.

Here, the hole x is above the hole Y. Then the stream from X will have the greater speed and it covers greater distance (5 cm )from the beaker. Stream from Y slow compared to that in X hence covers a distance less than 5 cm. Hence, option 2 is correct.

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The displacement from Rhonda's car to her campsite 257 m, 34.4° north of west.

Most campgrounds have picnic tables, a place to park your car, and a place to pitch your tent. Bathrooms and taps are often shared. One of the joys of camping is the lack of outdoor gear. But it's also nice to have a comfortable, convenient and cozy campsite. A tent is a small shelter for sleeping while camping.

Camps are areas with tents campfires and surroundings. There are many types of camping but the main methods of camping are backpacking auto-camping and glamping. These top three camping styles have options for every level of camper. Front country camping is also called auto camping because you can drive to the campground. These campsites usually have running water and modern washrooms.

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Answer:

The group one element are called alkali because when they dissolved in water they form alkaline solutions

Answer:

No, because beta particles move faster and can penetrate into the human body more easily.

Explanation:

Some beta particles are capable of penetrating the skin and causing damage such as skin burns. However, as with alpha-emitters, beta-emitters are most hazardous when they are inhaled or swallowed.

Answer:

answer is A

Explanation:

Joules, volts, and electron volts (eV) are units used to measure different types of physical quantities related to energy and electricity.

Joules (J) measure energy, which can be in various forms such as potential, kinetic, or thermal energy. It is a derived unit in the International System of Units (SI) and is defined as the amount of work done when a force of one newton displaces an object by one meter in the direction of the force.Volts (V) measure electric potential difference, also known as voltage, between two points in an electric circuit. It indicates the amount of work needed to move a unit of electric charge between these points. One volt is equivalent to one joule of energy per coulomb of charge.Electron volts (eV) measure energy on a smaller scale, typically at the atomic or subatomic level. It is the amount of kinetic energy gained or lost by a single electron when it is accelerated through an electric potential difference of one volt. It is commonly used in particle physics and quantum mechanics to express the energies of particles, atoms, and other small-scale phenomena.In summary, joules measure energy, volts measure electric potential difference, and electron volts measure energy on a smaller scale, particularly for atomic and subatomic particles.

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