Two wires are 16 m and 24 m long. The wires are to be cut into pieces of equal length. a) Find the maximum length (in m) of each piece. b) What is the total number of such pieces formed from the two wires?​

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is 0.8 kN.

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is calculated as follows;

Take moment about the joint to determine the magnitude of the force along part BC.

120 kN x 750 mm  =  F x 1000 mm

F = ( 120 kN x 750 mm ) / ( 1000 mm )

F = 90 kN

Stress is given as force divided by area. The following equation can be used to determine the magnitude of force P.

Stress in AB = 2 times stress in BC

P/A₁  = 2F/A₂

where;

A₁ =  πd²/4  =  π(50 x 10⁻³)²/4

A₁ = 1.96 x 10⁻⁵ m²

A₂ = πd²/4  =  π(75 x 10⁻³)²/4

A₂ = 4.42 x 10⁻³ m²

P/A₁ = 2F/A₂

P = (2F x A₁) / (A₂)

P = (2 x 90 kN x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = (2 x 90,000 N x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = 798.2 N

P = 0.798 kN

P ≈ 0.8 kN

Learn more about stress-forces here: https://brainly.com/question/929277

#SPJ1

The speed of the truck just before braking is 23.24 m/s.

The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.

v² = u² - 2as

where;

When the truck stops, the final velocity = 0

0 = u² - 2as

u²  = 2as

u = √2as

u = √ ( 2 x 6 x 45 )

u = 23.24 m/s

Learn more about initial speed here: https://brainly.com/question/24493758

#SPJ1

Answer:

杰恩斯克克斯克奇沃伊斯克克斯克什德布德克什恩克恩德恩克恩茨克杰兹姆克斯恩斯姆斯姆德恩德姆德武伊乔奥斯克斯杰德布德赫德夫赫富伊什杰吉迪赫德赫夫赫德

Answer:

Scientists learn more about the natural world through investigation by identifying a problem, researching related information, designing and conducting an investigation, analyzing the results, evaluating the conclusion, and communicating the findings. Engineers follow similar steps when creating new products or solutions through technological design. The four stages of technological design include identifying a need, designing and implementing a solution, and evaluating the solution.

The unstretched length of the bungee cord is  29.4 m.

Simple harmonic motion is a type of periodic motion in which the displacement of an object from its equilibrium position is directly proportional to the force acting on it and is always directed towards the equilibrium position. It is characterized by a sinusoidal pattern of motion and has many real-world applications, including in oscillations of springs and pendulums.

We can solve this problem by applying the principles of simple harmonic motion (SHM) to the bungee jumper's oscillations.

Let's begin by finding the period of oscillation, T. The time it takes for the bungee jumper to reach the lowest point and return to the same point is one period of oscillation. From the problem, we know that the bungee jumper completes 6 cycles (5 low points plus the initial jump) in 28.0 s. Therefore, the period of oscillation is:

T = 28.0 s / 6 = 4.67 s

Next, we can use the formula for the period of an object undergoing SHM to find the spring constant, k, of the bungee cord:

T = 2π √(m/k)

where m is the mass of the bungee jumper. Rearranging this formula to solve for k, we get:

k = (4π²m) / T²

Substituting the given values, we get:

k = (4π² × 50.0 kg) / (4.67 s)² = 360 N/m

So the spring constant of the bungee cord is approximately 360 N/m.

To find the unstretched length of the bungee cord, we can use the fact that the bungee jumper comes to rest 27.0 m below the level of the bridge. At this point, all of the potential energy from the initial jump has been converted into elastic potential energy stored in the bungee cord. Therefore, the total energy of the system is:

E = mgh = (1/2)kx²

where h is the height from which the bungee jumper initially jumped (we assume that there is no air resistance), and x is the unstretched length of the bungee cord.

Substituting the given values, we get:

(50.0 kg)(9.81 m/s²)(27.0 m) = (1/2)kx²

Solving for x, we get:

x = √[(2mgh)/k] = √[(2 × 50.0 kg × 9.81 m/s² × 27.0 m) / 360 N/m] ≈ 29.4 m

Hence, the unstretched length of the bungee cord is approximately 29.4 m.

To learn more about the Difference between SHM and AHM​ click:

https://brainly.com/question/28230148

#SPJ1

If we rank these magnets from the strongest to the weakest magnetic field the correct order is 4, 3, 2, 1.

The magnetic field and radius are related in the context of a charged particle moving in a circular path under the influence of a magnetic field. When a charged particle moves in a circular path under the influence of a magnetic field, the force on the particle is directed toward the center of the circle. In this force, the radius can be expressed as r = mv / Bq.

This equation shows that the radius of the circular path is directly proportional to the velocity of the particle, and inversely proportional to the magnetic field strength and the charge of the particle.

Learn more about magnets in https://brainly.com/question/2841288

#SPJ1

The subject depicted in the attached image is Astronomy and Astrophysics.

Astronomy is the scientific study of celestial objects such as stars, planets, galaxies, and other phenomena that exist outside of Earth's atmosphere.

Astronomers use a variety of methods to observe and study these objects, including telescopes, spacecraft, and computer simulations.

Astronomy is a broad field that includes many different sub-disciplines, such as astrophysics, planetary science, and cosmology.

Astronomers study the physical properties and behavior of celestial objects, such as their composition, temperature, motion, and evolution.

They also seek to understand the structure and history of the universe as a whole.

Learn more about astronomy here:

https://brainly.com/question/1141458

#SPJ1

(A) The water will shrink when is heated above 4°C. (B).water at an initial temperature of 33.3°C will be expand by twice as much when it is raised by 1°C compared to water at 30°C.

The anomalous expansion of water refers to the fact that its volume increases upon cooling from 4°C to 0°C, and then contracts upon further cooling to 0°C, and continues to contract upon further cooling. Similarly, when water is heated, its volume first contracts until it reaches 4°C, and then expands upon further heating.

To determine at what temperature water shrinks when heated, we need to find the point at which the coefficient of volume expansion, β, becomes negative. The coefficient of volume expansion is defined as the fractional change in volume per degree Celsius change in temperature, i.e.,

β = (1/V)  (dV/dT)

where V is the volume of the water and dV/dT is the rate of change of volume with respect to temperature.

At temperatures below 4°C, the coefficient of volume expansion is positive, indicating that water expands upon heating. However, at temperatures above 4°C, the coefficient of volume expansion becomes negative, indicating that water contracts upon heating.

Therefore, water will shrink when heated above 4°C.

To determine the initial temperature at which water will expand by twice as much when raised by 1°C, we can use the formula for the coefficient of volume expansion:

β = (1/V)  (dV/dT)

We want to find the initial temperature T such that

(dV/dT)T = 2 (dV/dT)30

where (dV/dT)T is the rate of change of volume with respect to temperature at temperature T, and (dV/dT)30 is the rate of change of volume with respect to temperature at 30°C.

Using the coefficient of volume expansion for water, we have

β = 3α

where α is the coefficient of linear expansion, which is approximately constant for small temperature changes. Therefore, we can write

(dV/dT) = V × 3α

Substituting this into the equation above and simplifying, we get

T = 30 + 10/3 = 33.3°C

Therefore, water at an initial temperature of 33.3°C will expand by twice as much when raised by 1°C compared to water at 30°C.

To know more about water

https://brainly.com/question/29668257

#SPJ1

Answer:

This is false.

Explanation:

Heat rash develops when some of your sweat ducts clog. Instead of evaporating, perspiration gets trapped beneath the skin, causing inflammation and rash. Heat rash is usually self-limited, meaning it resolves on its own without treatment. Over-the-counter treatments such as calamine, hydrocortisone cream, itch preparations (such as Benadryl spray), or sunburn lotions can be used as skincare to treat the itching and burning symptoms. Heat rash usually goes away on its own within three or four days so long as you don't irritate the site further. Heat rash happens when the sweat glands get blocked. The trapped sweat irritates the skin and leads to small bumps.

Answer:

FALSE

Explanation:

Heat rash develops when blocked pores or sweat ducts trap perspiration under your skin. Symptoms range from superficial blisters to deep, red lumps. Some forms of heat rash feel tingly  or intensely itchy.

Answer:

The frequency increases by 4 because it is inversely proportional to the wavelength.

A force may cause an object to turn about a pivot. The turning effect of a force is called the moment of the force. Moments act about a pivot in a clockwise or anticlockwise direction.

Answer:

A force may cause an object to turn about a pivot. The turning effect of a force is called the moment of the force. Moments act about a pivot in a clockwise or anticlockwise direction.

Explanation:

Displacement = (14-20) Km = -6 Km

The displacement of a car is -6 Km South

Answer:

figure d

Explanation:

In order to determine the time, use the following formula for the power:

where,

P = 30J/s

E = 450J

t = ?

Solve the equation above for t and simplify:

Hence, the time was 15s

Answer:

The four primary types of encoding are visual, acoustic, elaborative, and semantic. Encoding of memories in the brain can be optimized in a variety of ways, including mnemonics, chunking, and state-dependent learning.

Explanation:

When scientists calculate the trajectory a satellite takes on its way to

study a planet, they use C. Speed, Velocity, and acceleration.

A trajectory, often known as a flight path, is the route taken by an object moving under the influence of gravity. Typically, the phrase is applied when referring to projectiles or satellites.  A parabola curve is usually a decent approximation of the trajectory form when an object is propelled for in a short distance.

When scientists calculate the trajectory a satellite takes on its way to

study a planet they take the speed, velocity, and acceleration into consideration.

The formula for calculating the trajectory can be expressed as:

\(\mathbf{y = h + xtan (\alpha) - \dfrac{gx^2 }{2V_o^2cos^2 (\alpha)}}\)

where;

Learn more about trajectory here:

https://brainly.com/question/88554?referrer=searchResults

Answer:

A 2.0 m/s

Explanation:

ANSWER:

Paralell: -4

Perpendicular: 1/4

STEP-BY-STEP EXPLANATION:

We have the following equation:

Now, we have that an equation of a line in its slope-intercept form has the following form:

We apply it in this case:

When two lines are parallel, the slope is the same, while when they are perpendicular, the product of the slopes is equal to -1, we calculate each case below as follows:

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

To know more about Hooke's law, visit :

https://brainly.com/question/15365772

Answer:

The time will be: 25.02 seconds

Explanation:

Given

A bicycle travels at a velocity of 2.33 m/s.

i.e.

and

As we know the formula to find the time

Time = Displacement/Velocity

        = d/v

        = 58.3/2.33

        = 25.02 seconds

Therefore, the time will be: 25.02 seconds

Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.

In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.

The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.

A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.

Therefore, the distance traveled during the second second is 1/2 * acceleration \(* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a\) Since the car moved 2.0 meters in the first second, it means the acceleration is\(2m/s^2\), and the distance traveled during the second second is 1/2 * 2 = 1 meters.

Learn more about initial velocity:

https://brainly.com/question/9365999

Answer:

787, 500 N/m

Explanation:

Work = Force • displacement

\(Work = (3500 N)(225 m) = 787500\frac{N}{m}\)

\(W = (3500 N)(225 m) = 787500\frac{N}{m}\)

The magnitude of the resultant is √80 unit and vector à is twice vector B ,hence The two vectors are A = 8 and B = 4.

Given that  Two vectors A and B are perpendicular to each other.

The magnitude of the resultant is √80 unit and vector à is twice vector B.

So, the resultant of vectors A and B can be represented as;

\(`A^2 + B^2 = (\sqrt(80)^2`\)

Where \(A^2 and B^2\) are the magnitudes of vectors A and B respectively.

So, `\(A^2 + B^2 = 80`\)

We also know that `A = 2B`

Substitute A with 2B in equation `\(A^2 + B^2 = 80\)` and simplify.

\(`(2B)^2 + B^2 = 80``5B^2 = 80``B^2 = 16``B = ±4`\)

Since B is a vector, we take the positive value of B i.e.

`B = 4`

Then `A = 2B = 2 × 4 = 8`

Hence, the two vectors are A = 8 and B = 4.

Know more about   magnitude  here:

https://brainly.com/question/30337362

#SPJ11

The answer is that the time the diver was in the air is 1.13 seconds.

To determine the time the diver was in the air, we can use the kinematic equation:

Δy = viΔt + 1/2at²,

where Δy is the displacement, vi is the initial velocity, a is the acceleration due to gravity (g), and t is the time.The initial velocity, vi, is given as 5.5 m/s, and since the diver jumps upwards, the displacement, Δy, is equal to the height of the board, which is 3.0 m. The acceleration due to gravity, a, is -9.8 m/s² (negative because it acts downwards).Substituting the known values into the equation:3.0

m = (5.5 m/s)t + 1/2(-9.8 m/s²)t²

Simplifying, we get:

4.9t² + 5.5t - 3.0 = 0

We can solve for t using the quadratic formula:

t = (-5.5 ± √(5.5² - 4(4.9)(-3.0))) / (2(4.9))= (-5.5 ± 1.59) / 9.8= -0.47 s or 1.13 s

Since time cannot be negative, the time the diver was in the air is 1.13 seconds.

For more question diver

https://brainly.com/question/15277218

#SPJ8

Answer:

they will fly

Explanation:

yes flying is fun

The acceleration, net force, and normal force by the car at the top of hill A are 4.5  meter/second² , 3180 N and 3180 N.

The acceleration, net force, and normal force by the car at the top of hill B are 4.17  meter/second² , 3379N and 3379 N.

The acceleration, net force, and normal force by the car at the top of hill C are 4.0  meter/second² , 3480 N and 3480 N.

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

On hill A;

The centripetal acceleration = v²/r = 6²/8 meter/second² = 4.5  meter/second² .

The net force = m(g -a) = 600 (9.8 - 4.5) N = 3180 N.

The  normal force = 3180 N

On hill B;

The centripetal acceleration = v²/r = 5²/6 meter/second² = 4.17 meter/second² .

The net force = m(g -a) = 600 (9.8 - 4.17) N = 3379 N.

The  normal force = 3379 N.

On hill A;

The centripetal acceleration = v²/r = 4²/4 meter/second² = 4.0 meter/second² .

The net force = m(g -a) = 600 (9.8 - 4.0) N = 3480 N.

The  normal force = 3480 N.

Learn centripetal acceleration here:

https://brainly.com/question/14465119

#SPJ2

The ball's velocity is 9.9 m/s fast when it hits the sidewalk.

Velocity is the rate of change of displacement.

To calculate how fast the ball was moving when it hits the sidewalk, we use the formula below.

Fromula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the ball's velocity is 9.9 m/s fast when it hits the sidewalk.

Learn more about velocity here: https://brainly.com/question/24445340

#SPJ1

Answer:

50 m/s^2

Explanation:

F=ma

25 N= 0.5 kg • a

divide both sides by 0.5 kg

a=50 m/s^2

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

In vacuum, going at 2.99×10^8 m/s.

An object floats in water with 5/8 of its volume submerged. The ratio of the density of the obkect to that of water is 5/8.

What is meant by density ?

To learn more about density refer to

brainly.com/question/26364788

#SPJ4

A miniature quadcopter is located at xi = −1.75 m and yi = 2.70 m at t = 0, so the x-coordinate of the quadcopter's position at t = 2.10 s is -0.185 m, and the y-coordinate is -3.175 m.

The equation that is used here is the kinematic equations to find the position of the quadcopter at time t,

x = xi + vav, x × t

y = yi + vav, y × t

Substituting the given values, one can get:

x = -1.75 m + 1.70 m/s × 2.10 s = -0.185 m

y = 2.70 m - 2.50 m/s × 2.10 s = -3.175 m

Hence, the x-coordinate of the quadcopter's position at t = 2.10 s is -0.185 m, and the y-coordinate is -3.175 m.

Learn more about the quadcopter here.

https://brainly.com/question/29280235

#SPJ1