The equation y = 2x + 3 represents the cost y (in dollars) of mailing a package that weighs x pounds.

Answer:

W = M g = 150 kg * 9.81 m/s^2 = 1470 N

You were only given 3 significant figures in the question.

The weight of the box is 1471.5 N.

In science and engineering, an object's weight is defined as the force of gravity acting on the thing. Weight is sometimes described as a vector quantity in common textbooks, denoting the gravitational force acting on the item.

Given parameters:

Mass of the box, m = 150 kg.

Acceleration due to gravity, g = 9.8 m/s².

Hence, weight of the box is, W = mg = 150 kg × 9.81 m/s² =1471.5 N.

SO, weight of the  box with a mass of 150 kg on Earth is 1471.5 N.

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Answer:

B. 24.2 m/s

Explanation:

Given;

mass of the roller coaster, m = 450 kg

height of the roller coaster, h = 30 m

The maximum potential energy of the roller coaster  due to its height is given by;

\(P.E_{max} = mgh\\\\PE_{max} = 450 *9.8*30\\\\PE_{max} = 132,300 \ J\)

\(P.E_{max} = K.E_{max} \ (law \ of \ conservation\ of \ energy)\)

\(K.E_{max} = \frac{1}{2}mv_{max}^2\\\\ v_{max}^2 = \frac{2K.E_{max}}{m}\\\\ v_{max}^2 = \frac{2*132300}{450}\\\\ v_{max}^2 =588\\\\v_{max} = \sqrt{588}\\\\ v_{max} = 24.2 \ m/s\)

Therefore, the maximum speed of the roller coaster is 24.2 m/s.

Answer:

1. 24.2 m/s

2. 20.4 m

3. 22.5 m/s

4. 109,375 J

5. It is easy to calculate new scenarios.

Explanation:

5/5 on the Maximum Energy Quick Check

The average angular acceleration of the figure skater during the time interval of 4.6 s is 0.99 rad/s².

For this question:

Then,

angular acceleration = Change in angular velocity / time

α = ω2 - ω1 / t

α = 7.7 - 3.2 / 4.6

α = 4.5/4.6

α = 0.99 rad/s²

Thus, the average angular acceleration of the figure skater during the time interval of 4.6 s is 0.99 rad/s².

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The electrostatic force exerted on the electron will be in the direction of the electric field, which is from the positive plate to the negative plate. Since the electron is negatively charged, it will be attracted to the positively charged plate, so the force on the electron will be in the direction from the negative plate to the positive plate.

The electrostatic force, also known as the Coulomb force, is the force that exists between electrically charged particles. It is a fundamental force of nature that governs the behavior of charged particles, such as electrons and protons.

The electrostatic force is responsible for many natural phenomena, such as the attraction and repulsion of magnets, the electric shock felt after rubbing a balloon on hair, and the behavior of lightning. It is also used in a wide range of technologies.

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 A property known as an extensive property depends on the quantity of materials in a sample. A couple of instances of extensive attributes are mass and volume. A property of matter that is intensive depends solely on the type of matter in a sample and not on the quantity.

An intense property is a structural characteristic of a system that is independent of the system's size or the volume of its constituent parts. Volume and internal energy are extensive qualities while density, pressure, and temperature are intensive ones.

The features that depend on the amount of matter present are referred to as extensive properties. Volume, mass, internal energy, etc. are some examples.

Temperature, T, refractive index, n, density, and object hardness are a few examples of intensive attributes. In contrast, subsystems' comprehensive attributes, such as mass, volume, and entropy, are additive. However, not all physical characteristics of matter fit within those categories.

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Answer:

Explanation:

11.535 newtons

Answer:

The thrust that you feel at the time of firing is one of the real-life example of the conseriation nomentum

Answer:

i) The extension of the cable can be calculated using the formula:

ΔL/L = F/(A*Y)

where ΔL is the extension in length, L is the original length, F is the tension force, A is the cross-sectional area of the cable, and Y is the Young's modulus of steel.

First, we need to calculate the cross-sectional area of the cable:

A = πr^2 = π(0.02m)^2 = 0.00126 m^2

Now we can calculate the extension:

ΔL/L = 400N/(0.00126m^2 * 2.0×10^11 N/m^2) = 1.5873×10^-6

ΔL = (1.5873×10^-6)(7m) = 1.11×10^-5 m

So the cable has to be extended by 1.11×10^-5 m under this tension.

ii) The work done in producing this extension can be calculated using the formula:

W = (1/2)FΔL

where W is the work done, F is the tension force, and ΔL is the extension in length.

Substituting the given values:

W = (1/2)(400N)(1.11×10^-5 m) = 2.22×10^-3 J

Therefore, the work done in producing this extension is 2.22×10^-3 J.

Explanation:

it absorbs energy and releases oxygen and glucose.

The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. Amount of kinetic energy must the coaster have  13.3megajoules.

To determine the amount of kinetic energy the Kingda Ka roller coaster must have before climbing the incline, we need to calculate the potential energy at the top of the incline. The mass of the car with passengers is 9750 kg, and the height of the incline is 139 m. We can ignore friction and air resistance for this calculation. The potential energy at the top of the incline is equal to the kinetic energy the coaster must have before climbing. The formula for potential energy is given by:

\(Potential Energy = mass * gravity * height\)

In this case, the mass of the car with passengers is 9750 kg, the acceleration due to gravity is 9.8 m/s², and the height of the incline is 139 m.

Substituting these values into the formula, we can calculate the potential energy:

Potential Energy = 9750 kg * 9.8 m/s² * 139 m

P.E = K.E = 9750 x 139 x 9.8 = 13,281,450J

= 13.3megajoules

Once we calculate the potential energy, we can consider it as the amount of kinetic energy the coaster must have before going up the incline, as the initial kinetic energy is converted to potential energy as the coaster climbs.

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Answer:

Brainliest please thanks

Answer:

Number 1 is c and number 2 is a

The tension in the rope is 150 N.

The tension in the rope would be 150 N.

What are the given values?

Given,Mass of the engine = 135 kg

Mass of the pulley system = 6.65 kg

Acceleration due to gravity = 9.8 m/s²

Formula to calculate tension,T = m(g + a)

Where,T is the tension in the rope,m is the mass of the engine, and

a is the acceleration of the system.Here, the pulley system is at rest.

So, acceleration of the system is zero. Hence,a = 0

Substituting the given values in the above formula,T = 135 kg × (9.8 m/s² + 0)T = 1323 N

Now, the pulley system multiplies the tension by a factor of two.

Tension in the rope,T = 1323/2 N = 661.5 N= 662 N

Therefore, the tension in the rope is 150 N.

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Answer:

38.89%

Explanation:

Answer:

38.89 hope this helps

Explanation:

Answer:

Emphasis on public safety can surely reduce the risk for various groups of population

1. Proper education and training must be provided to make them aware of the risks and how they can manage those risks.

2. Proper rules and regulation must be made and strictly followed for example traffic rules so as to avoid accidents.

3. Disaster management teams should to formed to ensure minimal loss of humans and resources during any natural calamity.

4.Eradication of poverty and illiteracy should be priority so as to ensure people focus on more important issues in life rather than involve themselves in trivial things.

Explanation:

A balanced chemical equation demonstrates the Law of Conservation of Mass because it shows that the same amount of mass is present on both sides of the equation. This means that the total mass of the reactants is equal to the total mass of the products.

Answer:

They are inversely proportional with each other. \(R\) ∝ \(\frac{1}{I}\)

Explanation:

By the equation V=IR, assume V is constant.

Since I and R are on the same side,

if I increase, R decreases, or the vice versa.

When the two in-pins are joined together in the configuration shown in Figure 5.88b, it will act as a NOT gate, with an output voltage of 1 when both inputs are 0 and an output voltage of 0 when both inputs are 1.  

To show that when two in-pins are joined together in the configuration shown in Figure 5.88b, it will act as a NOT gate, we can follow the same logic as in the previous answer.

Assuming that the in-pin on the left is connected to a 1 (high logic level) and the in-pin on the right is connected to a 0 (low logic level), when the circuit is powered on, the two in-pins will be connected in series. This means that the voltage at the output pin will be equal to the lowest voltage between the two inputs.

In this case, since the left in-pin is connected to a 1, the output pin will be pulled high (1) by the voltage at the left in-pin. However, since the right in-pin is connected to a 0, the output pin will also be pulled high by the voltage at the right in-pin, resulting in a high output voltage (1).

Therefore, when the two in-pins are joined together in the configuration shown in Figure 5.88b, it will act as a NOT gate, with an output voltage of 1 when both inputs are 0 and an output voltage of 0 when both inputs are 1.  

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In each of the line segments, different things are happening to the parachutist. The description of each line segment are given below: Line Segment 1: The parachutist is falling freely. He has not deployed his parachute yet. So, he is under the influence of gravity and his speed is increasing.

Line Segment 2: The parachutist has deployed his parachute, but it is still closed. He feels the air resistance due to the parachute. As a result, his speed slows down as compared to the first line segment. However, he is still falling downwards. Line Segment 3: In this segment, the parachute is open and the parachutist is descending slowly. His speed is still slowing down as the parachute is providing a lot of air resistance.

But, he is descending safely towards the ground. In each of the line segments, the parachutist is facing a different experience. The different stages are discussed below: Stage 1: The parachutist is falling freely, which means he is under the influence of gravity and his speed is increasing. Stage 2: The parachutist has deployed his parachute but it is still closed. He is still falling downwards but he feels the air resistance due to the parachute. Therefore, his speed slows down as compared to the first stage. Stage 3: In this stage, the parachute is open and the parachutist is descending slowly. His speed is still slowing down as the parachute is providing a lot of air resistance. But, he is descending safely towards the ground.

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The acceleration of the car is \(11.63 m/s^2.\) The force produced by the car is 4,876.4 Newtons.

To find the acceleration of the car, we can use the formula:

acceleration = (final velocity - initial velocity) / time

In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:

acceleration = (50 m/s - 0 m/s) / 4.3 s =\(11.63 m/s^2\)

Therefore, the acceleration of the car is\(11.63 m/s^2.\)

To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:

force = mass x acceleration

In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:

\(force = 420 kg \times 11.63 m/s^2 = 4,876.4 N\)

Therefore, the force produced by the car is 4,876.4 Newtons.

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The force constant of the spring in such a scale if the spring stretches 8. 00 cm for a 10. 0 kg load is 1225 N/m. The mass of the fish is 6.88 kg. The half-kilogram marks on the scale are 4 cm apart.

Spring scales are commonly used by fishermen to determine the mass of the fish they catch. The scale works by measuring the force exerted by the fish on a spring, which is directly proportional to the fish's weight. The spring scale can be calibrated to read the mass of the fish based on the spring's force constant.

(a) The force constant of the spring can be calculated using Hooke's law, which states that the force exerted by a spring is directly proportional to its displacement. Therefore, the force constant of the spring is given by k = F/x, where F is the force exerted by the spring and x is the displacement.

For a 10.0 kg load that stretches the spring 8.00 cm, the force exerted by the spring is F = kx  \(= (10.0 \;kg)(9.8 \;m/s^2)\)= 98 N. Therefore, the force constant of the spring is k = F/x = 98 N/0.080 m = 1225 N/m.

(b) To determine the mass of a fish that stretches the spring 5.50 cm, we can use the force constant of the spring to find the force exerted by the fish. The force exerted by the spring is F = kx = (1225 N/m)(0.055 m) = 67.4 N.

The mass of the fish can then be calculated using the formula F = mg, where g is the acceleration due to gravity. Therefore, the mass of the fish is m = F/g = 6.88 kg.

(c) The distance between the half-kilogram marks on the scale can be found by calculating the displacement of the spring for a 0.5 kg load.

Using the force constant of the spring, we can find the displacement x = F/k = \((0.5 \;kg)(9.8 \;m/s^2)/(1225\; N/m)\) = 0.04 m. Therefore, the half-kilogram marks are 4 cm apart.

In summary, the force constant of the spring in a fish scale can be used to determine the mass of a fish based on the displacement of the spring. The force constant can be calculated using Hooke's law, and the mass of the fish can be found using the formula F = mg.

The distance between the half-kilogram marks on the scale can be found by calculating the displacement of the spring for a 0.5 kg load.

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Answer:

9.2

Explanation:

just multiply 4 miles times 2.3 then you get your answer

Answer:

5 Pascal

Explanation:

Formula for pressure = \(\frac{Force Applied}{Area}\)

Plug in the numbers, it will be 25N divided by 5\(m^{2}\), whch is equal to 5 Pascal

Answer:

b. between 2 s and 4 s

Explanation:

2-4 was both 3m/s

Converting temperatures from one unit to another can be a useful skill, especially if you are dealing with temperatures in different parts of the world that use different units.

The temperature conversion from Fahrenheit (F) to Celsius (C) is a common question, especially in science and weather. To convert 40°F to°C, you can use a simple formula:

(°F - 32) x 5/9 = °C

So for 40°F, the calculation would be:

(40 - 32) x 5/9 = 4.44 x 5/9 = 4.44 ÷ 1.8 = 4.44 ÷ 9 x 5 = 2°C

In other words, 40°F is equivalent to 4.44°C.

It's important to note that the Fahrenheit scale is used primarily in the United States, while the Celsius scale is widely used around the world. Understanding the conversion from F to C can be helpful in understanding temperatures in different parts of the world.

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The average distance the car traveled from the top of the track and the average distance the washer traveled from the top of the track are not provided in the given information. Without specific values or data regarding the distances, it is not possible to determine the average distances traveled by the car and the washer.

In order to calculate the average distances traveled by the car and the washer from the top of the track, we need specific measurements or data points. The average distance is typically calculated by summing up all the individual distances and then dividing by the total number of distances.

Without any information on the measurements or data points, such as the starting and ending positions or the specific distances covered, it is not possible to determine the average distances traveled by the car and the washer. It is important to have precise measurements or data points in order to make accurate calculations and determine the average distances.

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The rate of acceleration of a rolling ball down a hill, starting from rest with a final velocity of 8 m/s is 0.76 m/s².

Acceleration is the rate of change of velocity.

To calculate the acceleration of the ball, we use the formula below.

Formula:

Where:

Make a the subject of the equation

From the question,

Given:

Subsstitute these values into equation 2

Hence, the acceleration of the ball is is 0.76 m/s².

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Answer:

The pulling force that acts along a stretched flexible connector, such as a rope or cable, is called tension, T. When a rope supports the weight of an object that is at rest, the tension in the rope is equal to the weight of the object: T = mg.

Explanation:

Answer:

dont know

Explanation:

need points