three cubes of equal mass are composed of gold (density = 19.32 g/cm3 ), platinum (density = 21.45 g/cm3 ), and lead (density = 11.35 g/cm3 ). list the cubes from largest to smallest volume.

Answers

Answer 1

The cube with the lowest density will have the largest volume, while the cube with the highest density will have the smallest volume. The platinum has the highest density, followed by gold, and lead has the lowest density.

Given:

Density of gold = 19.32 g/cm³

Density of platinum = 21.45 g/cm³

Density of lead = 11.35 g/cm³

To compare the densities directly, we can simply list the densities in decreasing order:

(1)Platinum (Density = 21.45 g/cm³)

(2)Gold (Density = 19.32 g/cm³)

(3)Lead (Density = 11.35 g/cm³)

From the densities, we can see that platinum has the highest density, followed by gold, and lead has the lowest density.

Therefore, in terms of volume, the cubes can be listed from largest to smallest as:

(1)Lead cube

(2)Gold cube

(3)Platinum cube

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Related Questions

True or false. An airplane can fly in space. True False

Answers

False.

Explanation: An airplane isn’t designed to fly at such high altitudes and the air is too thin to create the lift needed

Answer:

the answer to this question is false because a airplane wouldve survive in space

Help please ;((((((((

Help please ;((((((((

Answers

Answer:

42- electromagnetic force

Explanation:

electrons keep orbiting around the nucleus thanks to electromagnetic force :)

hope this helped!

The shock waves on a vehicle in supersonic flight cause a component of drag called supersonic wave drag D_w. Define the wave-drag coefficient as C_D, w = D_w/q_infinity S, where S is a suitable reference area for the body. In supersonic flight, the flow is governed in part by its thermodynamic properties, given by the specific heats at constant pressure C_p and at constant volume C_v. Define the ratio C_p/C_v identical to gamma. Using Buckingham's pi theorem, show that C_D, w = f(M_infinity, gamma). Neglect the influence of friction.

Answers

The wave drag coefficient, C_D,w, is a component of drag experienced by a vehicle during supersonic flight and is defined as the ratio of the wave drag D_w to the dynamic pressure q_infinity times the reference area S. This wave drag is a result of the shock waves created by the vehicle travelling at supersonic speeds, and is governed by thermodynamic properties such as specific heats at constant pressure (C_p) and constant volume (C_v).

The ratio of these two specific heats, C_p/C_v, is equal to gamma, and with the use of Buckingham's pi theorem, C_D,w can be expressed as a function of M_infinity and gamma. Friction can be ignored due to the supersonic speeds of the vehicle.

To express C_D,w as a function of M_infinity and gamma using Buckingham's pi theorem, the independent parameters of the problem must first be identified. The independent parameters of this problem are the Mach number M_infinity, the reference area S, and the ratio of the specific heats C_p/C_v, also known as gamma. With these identified, the dependent parameter of C_D,w can be expressed as a function of the independent parameters by constructing a dimensionless group or pi group.

The pi group for C_D,w is formed by the multiplication of the independent parameters. For example, the group can be expressed as (M_infinity * S * (C_p/C_v)). This group can then be rearranged to C_D,w = f(M_infinity * S * (C_p/C_v)). Since gamma is equal to the ratio of the specific heats, the pi group can be simplified to C_D,w = f(M_infinity, gamma). This shows that C_D,w is a function of the Mach number and gamma, and that friction can be neglected.

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A power line carrying a current of 120 amps toward the east hangs 7.14 meters above a black squirrel on the ground directly below it. Calculate the magnitude of the magnetic field B, in tesla, at the squirrel's location. Express your answer in micro Tesla.

Answers

The magnitude of the magnetic field (B) at the squirrel's location is approximately 0.0574 μT (microtesla).

The magnetic field around a long, straight current-carrying wire can be calculated using Ampere's Law. The formula to calculate the magnetic field at a distance "r" from the wire is:

B = (μ0 * I) / (2π * r)

where:

B is the magnetic field

μ0 is the permeability of free space (4π × 10^(-7) T·m/A)

I is the current in the wire

r is the distance from the wire

Given:

Current (I) = 120 A

Distance from the wire (r) = 7.14 m

Substituting the values into the formula, we have:

B = (4π × 10^(-7) T·m/A * 120 A) / (2π * 7.14 m)

Simplifying the equation, we find:

B = (4π × 10^(-7) * 120) / (2 * 7.14)

B ≈ 0.0574 × 10^(-6) T

Converting to microtesla (μT), we get:

B ≈ 0.0574 μT

The magnitude of the magnetic field (B) at the location of the squirrel is approximately 0.0574 μT (microtesla).

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if an input force of 220 n is applied to the handles of the wheelbarrow in the sample problem, how large is the output force that just lifts the load

Answers

The output force that only lifts the load is 484 N

What is force?In mechanics, force is defined as any action that tends to maintain or alter the motion of a body or to distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, which are laid out in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving uniformly in a straight line will remain in that state until some force is applied to it.The second law states that when an external force acts on a body, it causes the body to accelerate (change in velocity) in the direction of the force. The acceleration is proportional to the magnitude of the external force and inversely proportional to the amount of matter in the body. According to Newton's third law, when one body exerts a force on another, the second body exerts an equal force on the first. This action-reaction principle explains why a force tends to deform (i.e., change the shape of) a body whether it causes the body to move. When studying the motion of a body, it is common to overlook.

Calculation

For this case, the relationship between the two forces is given by

\(F_{1} =nF_{2}\)

Where,

F1: output strength

F2: input force

n: mechanical advantage

Then, replacing the values ​​we have:

\(F_{1} = 2.2*220\) = 484 N

Hence, the output force that only lifts the load is 484 N

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A double-concave lens has equal radii of curvature of 15.1 cm. An object placed 14.2 cm from the lens forms a virtual image 5.29 cm from the lens. What is the index of refraction of the lens material?
a) 1.77
b) 1.90
c) 1.82
d) 1.98

Answers

A double-concave lens has equal radii of curvature of 15.1 cm. An object placed 14.2 cm from the lens forms a virtual image 5.29 cm from the lens. 1.90 is the index of refraction of the lens. Therefore, the correct option is option B.

A lens's index of refraction is a measurement of how much light passing through it may be bent relative to the speed of light in a vacuum. It is a crucial component of a lens since it affects how well it can concentrate light and produce images. A lens's index of refraction might change based on the kind of material that was used to make it. Glass, plastic, and crystal are examples of frequently encountered materials with high indexes of refraction. A lens can be made narrower while yet having the same optical power the higher its index of refraction. Typically, a lens's index of refraction is indicated by the letter "n."

\($\frac{1}{f} = (n-1)\left(\frac{1}{R_1}-\frac{1}{R_2}+\frac{(n-1)d}{nR_1 R_2}\right)$\)

\($\frac{1}{f} = (n-1)\left(-\frac{2}{|R|}\right)$\)

\($n-1 = -\frac{1}{2}\left(\frac{1}{f}\right)\left(\frac{|R|}{15.1\text{ cm}}\right)$\)

\($\frac{1}{f} = \frac{1}{d_o}+\frac{1}{d_i}$\)

\($\frac{1}{f} = \frac{1}{14.2\text{ cm}}-\frac{1}{5.29\text{ cm}}\)

\(= -0.0983\text{ cm}^{-1}$\)

\($n-1 = \frac{1}{2}(0.0983\text{ cm}^{-1})(1.00)\)

\(= 1.90\)

n = 1.90

Therefore, the correct option is option B.

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Experimenting with free fall, Mariana observes that her baseball takes 1.5 s to travel the last 30m before hitting the ground. From what height above the ground did Mariana drop the ball?

Answers

Answer:

37.8 m

Explanation:

At point 0, the ball is at height y₀.

At point 1, the ball is at height 30 m.

At point 2, the ball is at height 0 m.

Given:

y₁ = 30 m

y₂ = 0 m

v₀ = 0 m/s

a = -10 m/s²

t₂ − t₁ = 1.5 s

Find: y₀

Use constant acceleration equation.

y = y₀ + v₀ t + ½ at²

Evaluate at point 1.

y₁ = y₀ + v₀ t₁ + ½ at₁²

30 m = y₀ + (0 m/s) t₁ + ½ (-10 m/s²) t₁²

30 = y₀ − 5t₁²

Evaluate at point 2.

y₂ = y₀ + v₀ t₂ + ½ at₂²

0 m = y₀ + (0 m/s) t₂ + ½ (-10 m/s²) t₂²

0 = y₀ − 5t₂²

y₀ = 5t₂²

Substitute:

y₀ = 5 (1.5 + t₁)²

y₀ = 5 (2.25 + 3t₁ + t₁²)

y₀ = 11.25 + 15t₁ + 5t₁²

30 = 11.25 + 15t₁ + 5t₁² − 5t₁²

30 = 11.25 + 15t₁

t₁ = 1.25

30 = y₀ − 5t₁²

30 = y₀ − 5(1.25)²

y₀ ≈ 37.8

Find the volume of the following shape.
7 km
5 km
1.9 km
3 km
3 km
Round to the nearest hundredth.

Find the volume of the following shape.7 km5 km1.9 km3 km3 kmRound to the nearest hundredth.

Answers

The volume of the triangular shape is 10.35 km³.

In geometry, volume is the amount of space enclosed by a three-dimensional object. It is measured in cubic units, such as cubic meters or cubic centimeters. The volume of a regular object can be calculated using a formula, while the volume of an irregular object can be calculated by dividing it into smaller regular objects and adding up their volumes.

For example, the volume of a cube with a side length of 1 meter is 1 cubic meter. The volume of a sphere with a radius of 1 meter is 4/3π cubic meters. The volume of a cylinder with a radius of 1 meter and height of 2 meters is 2π cubic meters.

The formula gives the volume of a triangular shape:

V = 1/2 * b * h * t

where:

b is the base of the triangle

h is the height of the triangle

t is the thickness of the triangle

In this case, we have:

b = 7 km

h = 1.9 km

t = 3 km

So now, the volume of the triangular shape is:

V = 1/2 * 7 km * 1.9 km * 3 km = 10.35 km³

Therefore, the volume of the triangular shale is 10.35 km³.

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Convert 1.5 days to s

Convert 5.2 ft to m

Convert 3600 s to hr

Convert 10.2 m to ft

Convert 305 g to kg

Convert 180 pm to m

Convert 73 kg to g

Convert 1,366 s to min

Convert 86,000 m to km

Please answer these and SHOW ALL WORK, please please please show ALL WORK. Need this done right now please help! Thank you so much!

Answers

Although this computation is essentially based on a mathematical formalism or equation that integrates components, conversion factors are frequently employed to convert one type of measure into another.

A chemical equation is what?

The term "chemical equation" is frequently used in everyday chemistry. French chemist Jean Beguin established the first empirical formula in 1615. A chemical equation merely refers to a premise of a molecular reaction's process using symbols and figures.

1.5 days = 129600 second

5.2 ft      = 1.58496 meters

3600 s   = 1 hour

10.2 m    = 33 ft 5.57 in

305 g     = 0.305 Kg

180 pm   = 0.00000000018 m

73 kg      = 73000 g

1,366 s    = 22.76666667 min

86,000 m= 86 km

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Help me on question 5 pls I’m giving out brainlest!!

Help me on question 5 pls Im giving out brainlest!!

Answers

In order to find the density of the object, you need the mass and the volume. Here you have only supplied the mass, so we do not have enough information to calculate the density.

List the three main things necessary to build an electromagnet.

Answers

Answer:

Electromagnets are special types of magnets that are made by passing current through coils of wire. To make an electromagnet, the minimum requirements are:

1. A nail (usually made of iron, steel or zinc)

2. Dry cell batteries

3. Wire (Usually copper wire)

Other things could be:

1. Electric tape to hold both ends of the wire properly at the battery terminals.

2. Scissors to cut the wire into desired length.

3. Iron fillings for testing purposes.

A toy plane is displaced 12m to the right and then 16m upward.
What is the magnitude of the resultant displacement?

Answers

Answer:
20m [E 53 degree N]

I attached a photo to answer you question. Hope this helps!
A toy plane is displaced 12m to the right and then 16m upward.What is the magnitude of the resultant

Conoces algún proceso o producto de la vida cotidiana en el que se utilice agua oxigenada (H2O2) concentrada?

Answers

Answer:

wound disinfectant, to kill fungus, teeth whitener

Explanation:

Hydrogen peroxide or hydrogen peroxide is a polar compound which is why it is a strong oxidant.

Therefore it can be used as a wound disinfectant, to kill fungus, teeth whitener

In industry it is used for toothpastes, fabric bleach and in high concentrations 90% as rocket fuel

PLEASE HELP!!

A fisherman pulls a boat towards land,
The forces acting on the boat are shown in Diagram 1
The fisherman exerts a force of 300 N on the boat
The sea exerts a resistive force of 250 N on the boat.
Diagram 1
250N
300N

Describe the motion of the boat.​

PLEASE HELP!!A fisherman pulls a boat towards land,The forces acting on the boat are shown in Diagram

Answers

Answer:

The boat will move in the direction of the force exerted.

Explanation:

To describe the motion of the boat, we shall first obtain the net force acting on the boat. This can be obtained as illustrated below:

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

Force exerted (Fₑ) = 300 N

Resistive force (Fᵣ) = 250 N

Net force (Fₙ) =?

Fₙ = Fₑ – Fᵣ

Fₙ = 300 – 250

Fₙ = 50 N

Thus, the net force acting on the boat is 50 N in the direction of the force exerted.

Since the net force is in the direction of the force exerted, the boat will move in the direction of the force exerted..!

1. Think of an engineering problem where having an object with a high (k) value would be a benefit?

2. Think of an engineering problem where having an object with a low (k) value would be a benefit?

Answers

An example of a project where an object with a high (k) value would be a benefit is one that has to do with the design of a rocket engine. Metals that have very high thermal conductivity are useful for building rocket engines. This is because of the amount of energy/heat that is required to be combusted by these parts to achieve a break from the earth's force field of gravity.

While engineering problems where having an object with a low (k) value would be a benefit is those that have to do with buildings. Buildings are made from concrete and brisk with have low thermal conductivity hence low

What does (k) Value mean?

A k-value (also known as a k-factor or lambda value) is a measure of a material's thermal conductivity, or how quickly heat moves through it. It is a basic quality that is independent of material quantities.

Thermal conductivities of different building materials may be compared using k-values. This is often useful in determining the possibility of heat transmission between the inside and exterior of a structure.

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consider two objects with equal momentum. which statement is true? group of answer choices the more massive object will have less velocity both objects will have equal velocity the more massive object will have more velocity both objects have the same speed

Answers

The statement that is true regarding two objects with equal momentum is as follows: the more massive object will have less velocity (option A).

What is momentum?

Momentum is the tendency of a body to maintain its inertial motion. It is the product of an object's mass and velocity, or the vector sum of the products of its masses and velocities.

Mass and velocity are both directly proportional to the momentum. This means that if one increases either mass or velocity, the momentum of the object increases proportionally.

According to this question, two objects have equal momentum. This suggests that the objects with the greater mass must have a lesser velocity and vice versa.

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two charges repel each other with a force of 10 -6 n when they are 10 cm apart. when they are brought closer together until they are 2 cm apart, the force between them becomes:

Answers

When the charges are brought closer together until they are 2 cm apart, the force between them becomes approximately 2.5 ×  \(10^{-4}\) N.

To determine the force between two charges when they are brought closer together from 10 cm to 2 cm apart, we can use the formula for Coulomb's Law:
F = k × |\(q_1 \times q_2\)| / r²
where F is the force between the charges,

k is Coulomb's constant (8.99 × \(10^9\) N·m²/C²),

\(q_1\) and \(q_2\) are the magnitudes of the charges, and r is the distance between the charges.
Since we know the initial force (F₁) and initial distance (r₁), we can find the product of the charges (\(q_1 \times q_2\)) using the formula:
F₁ = k × |\(q_1 \times q_2\)| / r₁²
Given F₁ = \(10^{-6}\) N and r₁ = 0.1 m,

we can solve for |\(q_1 \times q_2\)|:
\(10^{-6}\) = 8.99 × \(10^9\)  * |\(q_1 \times q_2\)| / 0.1²
|\(q_1 \times q_2\)| = (\(10^{-6}\)  * 0.1²) / 8.99 ×\(10^9\)
|\(q_1 \times q_2\)| ≈ 1.11 × \(10^{-11}\) C²
Now that we have the product of the charges, we can find the new force (F₂) when the charges are 2 cm (0.02 m) apart (r₂):
F₂ = k × |\(q_1 \times q_2\)| / r₂²
F₂ = 8.99 × \(10^9\) × 1.11 ×  \(10^{-11}\)/ 0.02²
F₂ ≈ 2.5 × \(10^{-4}\)  N
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is a person believes that dreams have hidden meaning how or she would agree with Freud's ideas about _ content?

A. manifest
B. latent
C. hidden
D. lucid

Answers

Answer:B ez

Explanation:

A positive test charge of C R 8.7 is subjected to a force of 8.1 x 10-6 N in a direction making an angle N24 northeast. What is the magnitude of the electric field strength and its direction at the site of the test charge?

Answers

Answer:

E = 0.93 10⁻⁶ N/C, 24º NorthEast

Explanation:

The electric force is related to the electric field by the relation

          F = q E

where the bold letters indicate vectors and q is a scalar electric charge.

Using this equation the electric force is in the same direction as the electric field.

The magnitude of the field is

          E = F / q

the charge they give us is q = 8.7 C

let's calculate

          E = 8.1 10⁻⁶ / 8.7

          E = 0.93 10⁻⁶ N / C

In summary, the magnitude of the electric field is E = 0.93 10⁻⁶ N/C and its direction is 24º NorthEast

If a man with a mass of 75 kg, standing still, throws an object with a mass of 5 kg at 30 m/s, what will be the recoil velocity of the man, assuming he is standing on a frictionless surface?

Answers

Answer:

2 m/s

Explanation:

Given that,

Mass of a man, m₁ = 75 kg

Mass of object, m₂ = 5 kg

Velocity of the object, v₂ = 30 m/s

We need to find the recoil velocity of the man. Let it is v₁. In the whole process, the momentum of the system will remain conserved such that,

\(m_1v_1=m_2v_2\\\\v_1=\dfrac{m_2v_2}{m_1}\\\\v_1=\dfrac{5\times 30}{75}\\\\v_1=2\ m/s\)

So, the recoil velocity of the man is 2 m/s

The magnetic domains in an iron nail are randomized unless it is placed in a magnetic field.

True
False

Answers

Answer:

True plz thank me this is the answer

The magnetic domains in an iron nail are randomized unless it is placed in a magnetic field is a True statement.

What is magnetic domain ?

"A magnetic domain is a region within a magnetic material in which the magnetization is in a uniform direction. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction."

What is magnetic field ?

"A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field."

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PLEASE HELP IM BEING TIMED!!!!!!!
A tortoise and a hare raced and the following number were recorded: The tortoise "ran" the entire 100 meter race at a steady pace of 0.2 m/s. The hare started from rest and accelerated at a constant rate of 0.4m/s^2 for the first 30 meters, then rested for 6 minutes, then finished the last 70 meters of the race at a steady speed of 0.5 m/s. How much time (in seconds) did the hare take to complete the race?

Answers

Answer:

11 hours, 55 minutes

Explanation:

Consider a pair of infinite concentric cylinders around the z-axis with radius 3.26 m and 9.0 m carrying ±σ = 0.0000946 C/m^2. A particle with mass 5.49e-25 kg and charge 2.56e-19 C starts at distance 4.58 m from the z axis with velocity 3.61 m/s in radial direction inward.
What is the final velocity before hitting one of the cylinders if the inner cylinder has charge +σ

Answers

The final velocity of the particle before hitting one of the cylinders can be determined using the principles of conservation of mechanical energy and angular momentum.

To calculate the final velocity, we can use the conservation of mechanical energy and angular momentum. Initially, the particle has kinetic energy and angular momentum, and we can equate it to the final state when it hits one of the cylinders.

Conservation of Mechanical Energy:

The initial kinetic energy of the particle is given by its mass and initial velocity: KE_initial = (1/2) * m * v_initial^2. The final kinetic energy is zero because the particle comes to rest after hitting the cylinder. Therefore, we can equate the initial kinetic energy to zero: (1/2) * m * v_initial^2 = 0.

Conservation of Angular Momentum:

The initial angular momentum of the particle is given by its mass, initial distance from the axis, and initial velocity: L_initial = m * r_initial * v_initial. The final angular momentum is determined by the distance from the axis and the final velocity. Since the particle hits one of the cylinders, it will move along a circular path of radius r, which is the distance from the axis to the cylinder. The final angular momentum is then given by: L_final = m * r * v_final.

By equating the initial and final angular momenta, we can solve for the final velocity: m * r_initial * v_initial = m * r * v_final. Simplifying the equation, we get: v_final = (r_initial * v_initial) / r.

Substituting the given values of r_initial = 4.58 m, v_initial = 3.61 m/s, and r = 3.26 m, we can calculate the final velocity.

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got the ans thanks neede coz i had doubt but got clarified

Answers

Answer:

i. 170 m

ii. 850 m

Explanation:

Question

Arjun and his son Arav were standing ‘x’ m away from each other. They are equidistant (Y m) from a vertical cliff. Arjun burst a balloon and Arav heard the direct sound 0.5 seconds later and the echo after 2 seconds. If the speed of sound in air is 340m/s ,calculate

i. the distance between Arjun and Arav

ii. the distance between the cliff and Arjun

The parameters given are;

The time for the sound to reach Arav, \(t_D\) = 0.5 s

Time for the echo to echo to reach Arav, \(t_E\) = 2 s

The distance between Arjun and Arav = \(D_D\)

The distance between Arav and the cliff = \(D_E\)

The speed of sound in air, s = 340 m/s

The formula for speed, s, is \(s = \dfrac{Distance, D}{Time, t}\), therefore;

\(s = \dfrac{D_D}{t_D} = \dfrac{D_D}{0.5} = 340\)

\(D_D\) = 0.5 s × 340 m/s = 170 m

The distance between Arjun and Arav = 170 m

ii. Since Arav hears the direct sound before the echo, he is closer to the cliff than Arjun, therefore, we have;

\(s = \dfrac{D_E}{t_E} = \dfrac{D_E}{2} = 340\)

\(D_E\) = 2 s × 340 m/s = 680 m

Therefore, the distance between Arav and the cliff = 680 m

Which gives the distance between the cliff and Arjun, \(D_{cliff}\) = The distance between Arav and the cliff + The distance between Arjun and Arav

\(D_{cliff}\) = 680 + 170 = 850 m.

25. When making a 180-degree turn with a radius of 15 meters, a 900 kg car experiences a coefficient of friction of 0.60.
What is the maximum speed with which the car can make the turn?
c. 5.2 m/s
d. 90 m/s
a. 3 m/s
b. 9.49 m/s

Answers

The maximum speed with which the car can make the turn through the 15 meters radius curve is 9.49 m/s (Option B)

How do I determine the maximum speed?

We'll begin by obtaining the acceleration of the car. This can be obtained as follow:

Mass of car (m) = 900 KgAcceleration due to gravity (g) = 10 m/s²Normal reaction (N) = mg = 900 × 10 = 9000 NCoefficient of friction (μ) = 0.60Force (F) = μN = 0.6 × 9000 = 5400 NAcceleration (a) =?

F = ma

Divide both sides by m

a = F / m

a = 5400 / 900

a = 6 m/s²

Now, we shall obtain the maximum speed. Details below:

Radius (r) = 15 mAcceleration = 6 m/s²Speed of car (v) =?

v = √ar

v = √(6 × 15)

v = 9.49 m/s

Thus, the maximum speed is 9.49 m/s (Option B)

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The diffusion of inanimate forms of energy was vital to the accelerated development of the modern world. The industry is completely dependent on the techniques of extracting energy from nature. The development of energy sources or the lack of them determined the fate of countries. Those that were able to develop and exploit them led the industrialization process, those that did not invest in the energy sector became technologically lagging countries.

Discuss about:

a) the evolution of the main energy matrices after the industrial revolution (main sources of energy);

b) The social and environmental consequences of these energy sources;

c) relate energy development and degree of industrial development.

Answers

The evolution of energy matrices, the social and environmental consequences of energy sources, and the relationship between energy development and industrial development are critical aspects of understanding the interplay between energy and the modern world. Balancing the need for energy with sustainability and minimizing environmental impacts is a key challenge for societies today.

a) The evolution of the main energy matrices after the industrial revolution:

The industrial revolution marked a significant shift in the sources of energy used to power the growing industries and societies. Prior to the industrial revolution, human and animal labor, along with limited use of water and wind power, were the primary sources of energy. However, with the advent of steam engines and mechanization, there was a need for more abundant and efficient sources of energy.

Coal: Coal became the dominant energy source during the early stages of the industrial revolution. It provided the necessary fuel for steam engines and played a crucial role in powering factories, railways, and steamships.

Oil: The discovery and commercialization of oil in the late 19th century revolutionized the energy landscape. Oil became a major source of energy for transportation, as it fueled the internal combustion engines of automobiles, trucks, and airplanes.

Natural Gas: With the expansion of oil drilling, natural gas also emerged as an important energy source. It is used for heating, electricity generation, and as a feedstock for various industrial processes.

Nuclear Energy: The development of nuclear power in the mid-20th century introduced a new source of energy. Nuclear reactors harness the energy released from nuclear fission reactions to generate electricity.

Renewable Energy: In recent decades, there has been a growing emphasis on renewable energy sources such as solar, wind, hydroelectric, and geothermal power. These sources offer sustainable alternatives to fossil fuels, with lower environmental impact and the potential for long-term energy security.

b) The social and environmental consequences of these energy sources:

Each energy source has its own social and environmental consequences:

Fossil Fuels: The burning of fossil fuels, such as coal, oil, and natural gas, releases greenhouse gases and contributes to climate change. Extraction of fossil fuels can lead to habitat destruction, water pollution, and health hazards for workers and nearby communities.

Nuclear Energy: While nuclear energy does not produce greenhouse gas emissions during operation, it presents risks associated with accidents, radioactive waste disposal, and potential weaponization of nuclear materials. Public safety concerns and environmental risks have led to debates over the use of nuclear power.

Renewable Energy: Renewable energy sources offer benefits in terms of reduced greenhouse gas emissions and environmental sustainability. However, their deployment may require land use changes, and some technologies (e.g., large-scale hydroelectric dams) can cause ecological disruptions and displacement of communities.

c) The relationship between energy development and degree of industrial development:

Energy development and industrial development are closely intertwined. The availability of affordable and reliable energy sources is crucial for driving industrialization and economic growth. Access to abundant energy resources enables countries to power their industries, expand transportation networks, and improve living standards.

Countries that have invested in the development and exploitation of energy sources have typically experienced accelerated industrialization and technological advancement. The ability to secure and utilize energy resources efficiently has been a determining factor in a country's competitiveness and economic prosperity.

Conversely, countries that lack access to energy sources or fail to invest in their energy sectors may face challenges in industrial development. Limited energy availability can constrain production capacities, limit access to modern technologies, and hinder economic progress.

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Question 23 of 32
Two pistons are in an enclosed volume with fluid in between them, such that
movement in one piston affects the location of the other piston, as shown in
the image below. If an explosion occurs in the piston on the left such that it
moves 0.2 m, what is the distance that the piston on the right will move
(assuming that friction can be neglected)? (Recall that work on an object is
equal to the force on the object times the distance it is moved, and that work
is conserved.)
Cross-sectional area = 0.25 m²
Cross-sectional area = 0.5 m²
OA. 0.1 m
OB. 0.2 m
OC. 0.8 m
D. 0.4 m

Answers

The correct answer for the given question for the distance that the piston on the right will move is 0.1 m option (A).

When an explosion occurs in the left piston, it exerts a force on the fluid, which in turn exerts an equal and opposite force on the right piston due to the enclosed volume.

The cross-sectional area of the left piston is 0.25 m², and assuming the force is uniformly distributed over the entire area, the force exerted by the left piston is given by F = P × A, where P is the pressure and A is the area.

Using the work-energy principle, the work done by the left piston is equal to the work done on the right piston. Therefore, the work done on the right piston is equal to the force exerted on it multiplied by the distance it moves.

The force exerted on the right piston can be calculated using the same formula as before (F = P × A), where the cross-sectional area A is 0.5 m².

Since the force exerted on the right piston is equal to the force exerted by the left piston, we can equate the two expressions for force and solve for the distance moved by the right piston.

Using the equation F_left = F_right, we have P_left × A_left = P_right × A_right.

Plugging in the given values, we get (P_left × 0.25) = (P_right × 0.5).

Since the pressure is the same throughout the fluid, P_left = P_right.

Simplifying the equation, we have 0.25 = (0.5 × A_right).

Solving for A_right, we get A_right = 0.25 / 0.5 = 0.5 m².

The distance moved by the right piston can be calculated using the work formula:

Work_right = Force_right × Distance_right.

Plugging in the values, we have (P_right × A_right) × Distance_right = (P_left × A_left) × Distance_left.

Since P_left = P_right, we can further simplify the equation:

A_right × Distance_right = A_left × Distance_left.

Plugging in the given values, we get (0.5 × Distance_right) = (0.25 × 0.2).

Solving for Distance_right, we have Distance_right = (0.25 × 0.2) / 0.5 = 0.1 m.

Hence, the correct answer is option A: 0.1 m.

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Good evening.
Here is the question:
A stone is thrown upwards with an initial speed of 50 m/s.
1. What will its maximum height be ?
2. When will it strike the ground ?
3. What will its speed be in 2 s ?
Thank you in advance

Answers

The maximum height of the stone is 125m/s.

What is velocity?

The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity.

Although it may appear sophisticated, velocity is just the act of moving quickly in one direction.

Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction. Its SI equivalent is the metre per second (ms-1).

A body is considered to be accelerating if the magnitude or direction of its velocity changes.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves.

The final velocity, on the other hand, is a vector quantity that measures the speed.

Initial Velocity u=50
Final velocity v=0
Height, s=?

By third equation of motion
v²−u²=2gs
=0−(50)²=-2×10×s
=s= 2500/20
s= 125m/s
Hence, the maximum height of the stone is 125m/s.

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Activity 1 Draw the following circuit diagrams: Three cells in parallel Three light bulbs in series One resistor in series Closed switch ?​

Answers

Explanation:

I added a photo with my drawing

Activity 1 Draw the following circuit diagrams: Three cells in parallel Three light bulbs in series One

a small metal cube has a density of 581 g/cm3 and has a mass of 50.225 g. calculate the length of the sides of the cube. a. 48.1 mm b. 9.30 mm c. 0.953 mm d. 4.42 mm\

Answers

Answer: d. 4.42 mm (rounded to two decimal places).

The density of the metal cube is given as 581 g/cm^3, and its mass is 50.225 g. Let's use the formula for the density of an object to find its volume first:

\(Volume = Mass / Density\)

Substituting the given values, we get:

\(Volume = 50.225 g / 581 g/cm^3 ≈ 0.08648 cm^3\)

Since the cube has equal length on all sides;

Volume of cube = \(length^3\)

Substituting the value of the volume we just calculated, we get:

\(0.08648 cm^3 = length^3\)

Taking the cube root of both sides gives:

length ≈ 0.444 cm

Converting to millimeters, we get:

length ≈ 4.44 mm

Therefore, the length of the sides of the cube is approximately 4.44 mm.

which is nearest to the option d.

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