Two springs are used in parallel to suspend a mass of 15kg motionless from a ceiling. They both have rest length 10cm. However, one has a spring constant twice that of the other. The springs each have a length of 11.5cm while suspending the mass. Determine the spring constant of the stiffer spring.

To check your answers, we can use the following equations:

(a) Thrust = (mass flow rate of exhaust gas) * (exhaust velocity of gas) + (initial mass of rocket) * (acceleration due to gravity)

(b) Time to exhaust fuel = (0.8 * initial mass of rocket) / (mass flow rate of exhaust gas)

(c) Final velocity of rocket = (exhaust velocity of gas) * ln(initial mass of rocket / final mass of rocket)

Using the given values:

Mass flow rate of exhaust gas = 200 kg/s

Exhaust velocity of gas = 1.80 km/s = 1800 m/s

Initial mass of rocket = 20,000 kg

Acceleration due to gravity = 9.81 m/s^2

Final mass of rocket = 0.2 * initial mass of rocket = 4,000 kg

(a) Thrust = (200 kg/s) * (1800 m/s) + (20,000 kg) * (9.81 m/s^2) = 360,000 N

Your answer for part (a) is correct.

(b) Time to exhaust fuel = (0.8 * 20,000 kg) / (200 kg/s) = 800 s = 20 minutes

Your answer for part (b) is incorrect. The correct answer is 800 seconds or 20 minutes, not 20 seconds.

(c) Final velocity of rocket = (1800 m/s) * ln(20,000 kg / 4,000 kg) = 205.66 m/s

Your answer for part (c) is correct.

The effort needed to lift the load of 300 N, given that the velocity ratio is 6 and the machine has an efficiency of 80% is  62.5 N

First, we shall determine the mechanical advantage of the machine. Details below:

Efficiency = MA / VR

80% = MA / 6

Cross multiply

MA = 80% × 6

MA = 4.8

Finally, we shall determine the effort of the machine. Details below:

Mechanical advantage (MA) = Load (L) / Effort (E)

4.8 = 300 / Effort

Cross multiply

4.8 × Effort = 300

Divide both sides by 4.8

Efoort = 300 / 4.8

Effort = 62.5 N

Thus, we can conclude that the effort of the machine is 62.5 N

Learn more about effort:

https://brainly.com/question/16032440

#SPJ1

Answer:

100 force

Explanation:

did math if not correct worth a search

Answer:

-3525.000 m/s

Explanation:

In a perfectly inelastic collision, the two particles stick together and move with a common velocity after the collision. We can use the conservation of momentum to solve for this common velocity.

The initial momentum of the system is:

p_initial = m1 * v1 + m2 * v2

= (12.000 mg)(55.000 m/s) + (68.000 mg)(-48.000 m/s)

= -282.000 kg·m/s

Here, we convert the masses to kilograms to match the units of velocity.

Since the particles stick together after the collision, their masses add up:

m_final = m1 + m2

= 12.000 mg + 68.000 mg

= 80.000 mg

= 0.080 g

Now, we can use the conservation of momentum to find the final velocity:

p_final = m_final * v_final

where p_final = p_initial and m_final = 0.080 g.

Therefore:

v_final = p_final / m_final

= -282.000 kg·m/s / 0.080 g

= -3525.000 m/s

We can see from the table that we have in the question that  Wave W has a faster speed.

Wavelength and frequency are two fundamental properties of waves, including electromagnetic waves and sound waves. The relationship between wavelength and frequency can be described by the following equation:

c = λν

where c is the speed of light (or speed of sound), λ is the wavelength, and ν is the frequency.

According to this equation, the wavelength and frequency are inversely proportional to each other.

Learn more about wavelength:https://brainly.com/question/31143857

#SPJ1

Answer:

The area of the figure 7 in the area of 6 ft

Answer: Answer is below <3 (The underlined part is the answer)

Explanation: The reason why an object with a smaller mass has a larger acceleration than an object with a larger mass if the same force acts on each is because the acceleration of an object depends on its mass as well as the force exerted on it, and if the mass is smaller than the other object than it is faster.

The reason why a football accelerates faster than a soccer ball when the same amount of force is applied is because of the difference in their masses. The acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. This means that the smaller the mass of an object, the greater the acceleration it experiences when the same amount of force is applied to it.

A football is typically smaller and lighter than a soccer ball, so when the same amount of force is applied to both balls, the football experiences a greater acceleration due to its lower mass. This is consistent with Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.

Additionally, the surface area and shape of the balls can also affect their acceleration. A football is typically more aerodynamic with a pointed shape that reduces air resistance, allowing it to move through the air more easily and accelerate faster. In contrast, a soccer ball has a more spherical shape that can create more air resistance, slowing down its acceleration.

Therefore, the mass, shape, and surface area of the ball are all factors that can affect its acceleration when a force is applied.

Answer:

While the transatlantic slave trade mainly involved enslaving people from West Africa and forcing them to work on plantations in the Americas, modern slavery is more widespread in countries across the world, including the UK. The Atlantic slave trade contributed to the activity of many provision and redistribution markets, and enabled the creation of large fortunes that were invested in highly diverse activities and forms of consumption.

Explanation:

hope that helps

The primary locations for the birth of new stars are in galaxies' spiral arms. The proportion of the galaxy that can participate in star formation increases as more gas and dust become available.

We refer to some spiral galaxies as "barred spirals" because the centre bulge seems extended, like a bar. The spiral arms of the galaxy seem to emerge from the ends of the bar in barred spirals. Elliptical galaxies are round or oval in shape, as their name implies, and have a rather uniform distribution of stars.

The Norma and Cygnus arm, Sagittarius, Scutum-Crux, and Perseus arms are the four principal spiral arms of the Milky Way.

To know more about star formation visit:-

brainly.com/question/3795295

#SPJ1

The reflected sound wavefronts at the given boundary are waves that have bounced off a surface and changed direction.

The reflected sound wavefront is shown in the attachment.

A reflected wavefront is a wavefront that has bounced off a surface and changed direction. When a wave, such as a light wave or sound wave, encounters a surface, some of the wave energy is reflected back in the opposite direction.

An example of reflected sound wavefronts in water can be seen in underwater sonar imaging.

In sonar imaging, a sound wave is emitted from a source and travels through the water. When the sound wave encounters an object, some of the wave energy is reflected back toward the source.

Reflected wavefronts play an important role in many areas of science and engineering, such as optics, acoustics, and electromagnetism. They are used to model the behavior of waves in complex systems and to design and optimize devices such as mirrors, lenses, and antennas.

Learn more about reflected waves at: https://brainly.com/question/9658568

#SPJ1

Answer:

D

Explanation:

If the water represents the oceans water then you'd would need to calculate how much of earth is water (96.5)

Average force F = 97.52 N acting on window surface.

Pressure on the window: P = 84.39 N/m²

Average force F:

F = mg sinФ

Put the values:

F = 0.05*9.81* sin 67°

F = 0.45 N

Number of hailstones = 216

Average force F = 0.45* 216 = 97.52 N

Pressure on the window:

Pressure = Average force / area

P = 97.52 / 1.156

P = 84.39 N/m²

Know more about the elastic collision,

https://brainly.com/question/12644900

#SPJ1

The total resistance is 3 ohm

The current is 1.5 A

To calculate the total resistance of a circuit, you need to determine the equivalent resistance of all the resistors in the circuit. The equivalent resistance is the single resistance value that could replace all the individual resistors and produce the same overall resistance.

1) This is a parallel circuit thus;

1/RT = 1/6 + 1/6

RT = 3 ohm

2) This is a series circuit thus;

RT = 4 + 6 = 10 ohm

Current = 15V/10 ohm

= 1.5 A

Learn more about total resistance:https://brainly.com/question/16465349

#SPJ1

The two sentences that best state the central ideas of Wiesel's speech are:

Elie Wiesel's speech focuses primarily on the Holocaust and the atrocities that were committed during that time, particularly at Auschwitz. The central ideas of his speech are:

More on Wiesel's speech can be found here: https://brainly.com/question/30338903

#SPJ1

Answer: NUMBER - 275.5 N

Explanation:

From the given circuit, the value of I1 = -4 Amp, V1 = -4 V, and the V2 = 4V. Ohm's law has three different variations that are related to voltage, current, and resistance. The relationship between the voltage across the terminals and the resistor's resistance determines the current for a constant flow of current.

According to Ohm's law, the voltage across a conductor determines how much current flows through it. For many materials, including metals, this is true so long as the temperature (as well as other physical parameters) stay constant.

Any electrical network may be solved using nodal analysis, which is what it is called. the formula used to determine how much voltage is shared across circuit nodes. Since the node voltages are with respect to the ground, this method is also referred to as the node-voltage method.

Applying KCL,

I1 = -1 -3

I1 = -4 A

Applying concept of super-node,

V2 = 4V

[tex]\frac{4-V1}{2} -1-3=0[/tex]

[tex]2-\frac{V1}{2} =4[/tex]

[tex]\frac{-V1}{2} =4-2[/tex]

[tex]V1=-4V[/tex]

To know more about the nodal analysis visit:

https://brainly.com/question/26099417

#SPJ1

the work done by the resultant force during this time interval is 106.0 J.

What is the principle that relates the work done by the net force on an object to its change in kinetic energy?

To find the work done by the resultant force on the particle, we need to use the work-energy principle, which states that the work done by the net force on an object is equal to its change in kinetic energy.

First, we need to find the net force acting on the particle. We can use Newton's second law, which states that the net force is equal to the mass times the acceleration:

F_net = m*a

To find the acceleration, we can use the formula:

a = (v_f - v_i) / t

where v_f is the final velocity, v_i is the initial velocity, and t is the time interval.

a = [(7.0i+3.0j) m/s - (5.0i-4.0j) m/s] / t

a = (2.0i+7.0j) m/s / t

Now we can calculate the net force:

F_net = m*a

F_net = 2.0 kg * (2.0i+7.0j) m/s / t

F_net = (4.0i+14.0j) N / t

Next, we need to calculate the work done by this net force during the time interval. Since the force is not constant, we need to use the work-energy principle in integral form:

W = integral(F_net dot ds)

where dot denotes the dot product, and ds is the infinitesimal displacement vector.

To perform this integration, we need to know the path of the particle. Let's assume that the particle moves in a straight line from its initial position to its final position.

Then, the displacement vector is given by:

ds = (v_f - v_i) * t

ds = [(7.0i+3.0j) m/s - (5.0i-4.0j) m/s] * t

ds = (2.0i+7.0j) m * t

Now we can calculate the dot product between the net force and the displacement vector:

F_net dot ds = (4.0i+14.0j) N / t dot (2.0i+7.0j) m * t

F_net dot ds = 8.0 N + 98.0 N

F_net dot ds = 106.0 J

Therefore, the work done by the resultant force during this time interval is 106.0 J.

To learn more about work done follow the given link: https://brainly.com/question/25573309

#SPJ1

Answer:

150 J

-300 J

300 J

256.8 J

Explanation:

Use the following equation: W = ΔK = Kf - Ki

Calculations below:

Ki = 150 J, F = 10 N, d = 15 m, θ = 90°

The work done on the ball is:

W = Fd cos θ = 10 × 15 × cos 90° = 0 J

Therefore, the final kinetic energy is:

Kf = Ki + W = 150 + 0 = 150 J

Ki = 300 J, F = 200 N, d = 1.5 m, θ = 180°

The work done on the ball is:

W = Fd cos θ = 200 × 1.5 × cos 180° = -600 J

Therefore, the final kinetic energy is:

Kf = Ki + W = 300 - 600 = -300 J

Ki = 200 J, F = 25 N, d = 4 m, θ = 0°

The work done on the ball is:

W = Fd cos θ = 25 × 4 × cos 0° = 100 J

Therefore, the final kinetic energy is:

Kf = Ki + W = 200 + 100 = 300 J

Ki = 450 J, F = 15 N, d = 30 m, θ = 150°

The work done on the ball is:

W = Fd cos θ = 15 × 30 × cos 150° = -193.2 J

Therefore, the final kinetic energy is:

Kf = Ki + W = 450 - 193.2 = 256.8 J

The distance between the train cars will decrease, as stronger magnets will create a greater attractive force between them. This will cause the cars to be pulled closer together.

The strength of a magnet depends on the type of magnet and the material it is made from. Generally, the strongest magnets are neodymium magnets, also known as rare earth magnets. These are made from a combination of neodymium, iron, and boron and can produce magnetic fields up to 1.4 teslas, or 14,000 gauss. Samarium cobalt magnets are also powerful, producing fields up to 1.4 teslas. Other types of magnets, such as ceramic and Alnico magnets, generally produce magnetic fields of around 0.5 teslas or 5,000 gauss.

To learn more about stronger magnet
https://brainly.com/question/30150438
#SPJ1

Answer: Diffraction

Explanation: It is diffraction, because due to diffraction, sound waves bend on the corner as their size is of the order of wavelength of sound waves.

The farmer had a displacement of 133.4 m at an angle of -15.5° after moving 80.0 m [0°] and then 60.0 m [335°].

To find the displacement of the farmer who walked 80.0 m [0°] and then 60.0 m [335°], we need to use vector addition. First, we need to convert the distances and angles into their respective x and y components. The x component of the first displacement is 80.0 m (cos 0°) = 80.0 m, and the y component is 80.0 m (sin 0°) = 0 m. Similarly, the x component of the second displacement is 60.0 m (cos 335°) = 49.5 m, and the y component is 60.0 m (sin 335°) = -35.1 m (negative because it is in the fourth quadrant).

Next, we add the x and y components separately to find the resultant x and y components.

Resultant x component

= 80.0 m + 49.5 m

= 129.5 m

Resultant y component

= 0 m - 35.1 m

= -35.1 m

Now, we can use the Pythagorean theorem to find the magnitude of the resultant displacement:

|displacement| = √(129.5 m)² + (-35.1 m)²

= 133.4 m

Lastly, we can use inverse tangent to find the direction of the displacement:

θ = a tan (-35.1 m / 129.5 m) = -15.5°

Therefore, the displacement of the farmer who walked 80.0 m [0°] and then 60.0 m [335°] is 133.4 m at an angle of -15.5°.

Finding displacement through vector addition is a common problem in physics and is an important concept in understanding motion. By breaking down distances and angles into their respective x and y components, we can add them together to find the resultant displacement.

To know more about displacement click here

brainly.com/question/11934397

#SPJ1

When she let go of the rope, her height above the water would be  3.20 meters.

We can use the equations of motion to solve this problem. Let's assume that the girl's initial height above the water is h, and that the acceleration due to gravity is -9.81 m/s^2 (negative because it is directed downward). Then we have:

Initial horizontal velocity (vx) = 2.25 cos(35º) = 1.84 m/s

Initial vertical velocity (vy) = 2.25 sin(35º) = 1.30 m/s

During the 1.20 s of flight, the girl's vertical motion can be described by the following equation:

h + vy*t + (1/2)gt^2 = 0

where t is the time of flight and g is the acceleration due to gravity. Substituting the known values, we get:

h + (1.30 m/s)(1.20 s) + (1/2)(-9.81 m/s^2)*(1.20 s)^2 = 0

Simplifying and solving for h, we get:

h = -1/2*(-9.81 m/s^2)(1.20 s)^2 - (1.30 m/s)(1.20 s) = 3.20 m

Therefore, the girl was 3.20 meters above the water when she let go of the rope.

More on kinematic motion can be found here: https://brainly.com/question/30887265

#SPJ1

The rocket's x and t coordinates are 688.32 meters and 277.44 meters, respectively, from where it will launch.

Velocity, as opposed to speed, refers to the pace & direction of such an object's movement as it moves down a path. In other respects, whereas velocity is a scalar, speed is really a scale parameter.

Speed does not necessarily have to match average velocity in magnitude. Many people mistakenly believe that cruising velocity and flow rate are merely two different labels for the same quantity. Nevertheless, average speed relies on both distance and displacement.

To know more about Velocity visit:

https://brainly.com/question/17127206

#SPJ9

Answer:

2.1 The principle of conservation of linear momentum states that in the absence of any external forces, the total momentum of a system remains constant. This means that the total momentum before an event is equal to the total momentum after the event.

2.2 To solve the problem, we can use the principle of conservation of linear momentum, which states that the momentum of the system before the learner jumps on the skateboard is equal to the momentum of the system after the learner jumps on the skateboard.

Explanation:

Answer:

5292.64 m

Explanation:

The section of the diagram that includes the coolest, brightest stars is A, Section 1.

On the Hertzsprung-Russell diagram, the vertical axis represents luminosity, which is the total amount of energy emitted by a star per unit time. The luminosity is measured in units of solar luminosity, which is the amount of energy emitted by the Sun per unit time.

The section that includes the coolest, brightest stars is Section 1. This is because in this section, the stars have a low temperature (around 3,000-4,000 K) and a high luminosity (around 1,000-10,000 times that of the Sun). These stars are called red giants, and they are nearing the end of their lives. As they run out of fuel, their outer layers expand and cool, making them appear red and bright.

Learn more on Hertzsprung-Russell diagram here: https://brainly.com/question/26767074

#SPJ1

It is female (XO).A karyotype can be used to diagnose a chromosomal disorder by examining the number and arrangement of a person's chromosomes.

Chromosomes are thread-like structures located in the nucleus of cells that carry genetic information in the form of genes. They are composed of DNA and proteins and are responsible for directing the development and functioning of cells. In humans, chromosomes come in pairs of 23, with one copy of each pair inherited from each parent.

For example, Down Syndrome is caused by an extra chromosome 21, Klinefelter Syndrome is caused by an extra X chromosome in males (XXY), and Turner Syndrome is caused by a single X chromosome in females (XO).

To learn more about chromosomes

https://brainly.com/question/3577797

#SPJ1

The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. It is expressed by the equation: fr = Fr/N.

coefficient of friction, ratio of the frictional force opposing the motion of two surfaces in contact to the normal force pushing the two surfaces together.

Typically, it is represented by the Greek letter mu (). In terms of math, is equal to F/N, where F stands for frictional force and N for normal force. The things creating friction will determine the coefficient of friction. The value is often between 0 and 1, although it can also be higher. A number of 0 indicates that there is absolutely no friction between the items; superfluidity makes this feasible.

Learn more about force of friction,

https://brainly.com/question/30280752

#SPJ1

Full Question ;

A concrete highway curve of radius 80.0 m is banked at a 18.0 degrees angle.

What is the maximum speed with which a 1100 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)

The answer to the given question is 150Kg. The leatherback sea turtle weighs about 150 kg.

To calculate the mass of the Leatherback sea turtle, we can use the formula for kinetic energy:

KE = 1/2 × m × v²

where KE is the kinetic energy, m is the mass of the object, and v is the velocity.

Given that the Leatherback sea turtle has a kinetic energy of 12 J while swimming at 0.2 m/s, we can plug in these values into the formula and solve for the mass:

12 J = 1/2 × m × (0.2 m/s)²

12 J = 1/2 × m × 0.04 m²/s²

m = (12 J) / (1/2 × 0.04 m²/s²)

m = 150 kg

Therefore, the mass of the Leatherback sea turtle is approximately 150 kg.

The Leatherback sea turtle is known for being the largest of all living sea turtles, with an average weight of around 500 to 1500 pounds (225 to 680 kg). Its size and weight enable it to swim vast distances across the ocean, traveling from nesting beaches to feeding grounds.

By using the formula for kinetic energy and the given values of velocity and kinetic energy, we can calculate the mass of the Leatherback sea turtle. The mass of the Leatherback sea turtle is significant, weighing approximately 150 kg, which is required for it to be able to swim through the vast oceans.

To know more about kinetic energy click here

brainly.com/question/15764612

#SPJ1