upon reaching a downward velocity of 45 m/s, 300 newtons of drag resist the diver's motion. draw a force diagram for the skydiver. how large is the skydiver's acceleration?

Answer:

The acceleration is equal to the net force divided by the mass. If the net force acting on an object doubles, its acceleration is doubled. If the mass is doubled, then acceleration will be halved. If both the net force and the mass are doubled, the acceleration will be unchanged.

Explanation:

Answer:

The skater's vertical displacement during the jump is 1.49 meters

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height y, the range or maximum horizontal distance traveled by the object can be calculated as follows:

\(\displaystyle x=v\cdot\sqrt{\frac {2y}{g}}\)

If we already know the value of x, we can solve the above equation for h:

\(\displaystyle y=\frac {x^2g}{2v^2}\)

We use the given values v=14.5 m/s, x=8 m, \(g=9.8 m/s^2\):

\(\displaystyle y=\frac {8^2\cdot 9.8}{2\cdot14.5^2}\)

y = 1.49 m

The skater's vertical displacement during the jump is 1.49 meters

Answer:

The answer is -1.49 m not 1.49 m

Explanation:

It is referencing displacement from a higher point to a lower.

Answer:

a person pushes a 125 kg

Explanation:

The total translational kinetic energy of the object is 122.5 J.

Kinetic energy is defined as the energy possessed by a body by virtue of its motion.

Here,

Mass of the object, m = 125 kg

The final velocity of the object, v = 1.4 m/s

It is given that the object was initially at rest on a frictionless surface. When the object was pushed by the person, it gained some amount of kinetic energy and ended up with a final velocity of 1.4 m/s.

So, the expression for total translational kinetic energy of the object is given by,

KE = KEf + KEi

KE = 1/2m(v² + u²)

Since, the object was initially at rest, the initial velocity,

u = 0

Therefore, the kinetic energy of the object,

KE = 1/2 mv²

KE = 1/2 x 125 x (1.4)²

KE = 122.5 J

Hence,

The total translational kinetic energy of the object is 122.5 J.

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To solve this problem, we can use the relationship between the variables P and V given by Boyle's law:

Differentiating both sides of the equation with respect to time (t), we get:

Since the temperature is constant, dP/dt represents the rate of change of pressure with respect to time.

Given that dV/dt = -13 in^3/sec (as the volume is decreasing), we can substitute the known values:

Simplifying the equation, we have:

Now we can solve for dP/dt:

Given P = 70 lb^2/in^2, we can substitute the value:

Therefore, the rate at which P is increasing is 91/5 lb^2/in^2 per second.

Temperature shows the degree or size of the heat of an object. Simply put, the higher the temperature of an object, the hotter it is. Microscopically, temperature shows the energy possessed by an object.

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Answer:weight is a vector.

Explanation: It is measured in Newtons (N) and has direction

Answer:

total gravity of mass on earth. it can measured by Newton

Explanation:

I think it will help you. follow me ok .

The acceleration of cyclist is determined as 0.66 m/s².

The acceleration of the cyclist is calculated by applying Newton's second law of motion as follows;

F (net) = ma

where;

The net force on the cyclist is calculated as;

F (net) = 150 N - 84 N = 66 N

The acceleration of cyclist is calculated as follows;

a = F (net) / m

a = 66 N / 100 kg

a = 0.66 m/s²

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Answer:

0.5

0.23

Explanation:

R2 and R3 both are parallel, therefore will say

R2=1÷5A

Galileo Galilei was the first astronomer to track sunspot movement with the aid of a telescope. His observations played a significant role in the development of our understanding of the Sun.

Galileo, an Italian astronomer and physicist, made his groundbreaking sunspot observations in 1610-1613. Using the newly invented telescope, he was able to see that the Sun had spots on its surface that appeared to move over time. Prior to Galileo's discovery, the prevailing belief was that the Sun was a perfect, unblemished sphere. His observations challenged this notion and contributed to a broader shift in our understanding of the cosmos.

Galileo's work on sunspots not only provided evidence of the Sun's imperfect surface but also demonstrated that the spots were connected to the Sun and not separate objects, as some had previously thought. By observing the movement of sunspots, Galileo was able to determine that the Sun rotates on its axis, further solidifying the idea that celestial bodies were not static and unchanging.

In summary, Galileo Galilei's groundbreaking observations of sunspots with the aid of a telescope marked a turning point in our understanding of the Sun and the broader universe. His work challenged the existing beliefs of his time and paved the way for future astronomers to further explore and understand our solar system.

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Answer: 40.2m/sec

Work: v=p/m= 5.83kg/0.145k=40.2cm/sec

Answer:

The reason that the Greeks might not have had any questions to the evidence that heavier objects fall faster than light objects is because they would be questioning statistics which is that heavier objects and lighter objects do not fall at different rates but at the same its just the pending on the weight ex. a brick and a feather you drop a brick it falls quick because of its weight and a feather because of it's weight it falls a lot slower but at the measurement of the objects falling quicker than the other they don't its irrelevant.

Write each force in component form:

v ₁ : 50 N due east   →   (50 N) i

v ₂ : 80 N at N 45° E   →   (80 N) (cos(45°) i + sin(45°) j ) ≈ (56.5 N) (i + j )

The resultant force is the sum of these two vectors:

r = v ₁ + v ₂ ≈ (106.5 N) i + (56.5 N) j

Its magnitude is

|| r || = √[(106.5 N)² + (56.5 N)²] ≈ 121 N

and has direction θ such that

tan(θ) = (56.5 N) / (106.5 N)   →   θ ≈ 28.0°

i.e. a direction of about E 28.0° N. (Just to clear up any confusion, I mean 28.0° north of east, or 28.0° relative to the positive x-axis.)

Answer:

C

Explanation:

There is a decrease in temperature and daylight and plants produce less food.

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The  measuring tools that the student use to test the validity of the claim are:

a. Photogates placed at the beginning, end, and at various locations along the track that the car travels on.

b. A meterstick to measure the distance of the track that the car travels on.

Photogates situated at distinctive focuses along the way of the car, counting the begin and wrap up lines, can decide the length it takes for the car to pass through each point. Through the examination of the time data, the understudy is able of concluding whether or not the car keeps up a steady speed amid its run.

A student can use a meterstick to gauge the length of the car's trajectory and subsequently compute its mean velocity.

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A student is provided with a battery-powered toy car that the manufacturer claims will always operate at a constant speed. The student must design an experiment in order to test the validity of the claim. Which of the following measuring tools can the student use to test the validity of the claim?

a. Photogates placed at the beginning, end, and at various locations along the track that the car travels on.

b. A meterstick to measure the distance of the track that the car travels on.

c. A motion detector that is oriented perpendicular to the direction that the car travels.

d. A mass balance to determine the mass of the car

We are given that a cyclist A is moving at a constant speed of 21 m/s. The equation of position with respect to the time of an object moving at a constant speed is the following:

Where:

Substituting the values we get:

Cyclist B starts at the position 30 meters is moving at a constant acceleration. The formula for the position of an object moving at a constant acceleration is the following:

Where:

Since the object begins at rest this means that the initial velocity is zero. If we set its starting point at the origin then the initial position is zero. Now, we substitute the values:

Solving the operations:

Since we are asked to determine the time when they are at the same distance we need to set both equations equal:

Now, we divide both sides by 2;

Now, we subtract "7t" from both sides:

We get an equation of the form:

To solve the equation we will factor the left side:

We need to find two numbers such that their product is 10 and their algebraic sum is -7. Those numbers are -5 and -2:

Now, we set both factors equal:

For the second factor:

The two times are then 5s and 2s.

Answer:

\(\huge\boxed{\sf m = 2 \ moles}\)

Explanation:

No. of particles = 12.04 × 10²³ particles

Avogadro's number = 6.02 × 10²³

No. of moles = n = ?

\(\displaystyle No. \ of\ moles\ = \frac{no.\ of \ particles}{Avogadro's \ number}\)

Put the given in the above formula

\(\displaystyle n =\frac{12.04 \times 10^{23}}{6.02 \times 10^{23}} \\\\n = 2 \times 1 \ moles\\\\m = 2 \ moles\\\\\rule[225]{225}{2}\)

Answer:

calculate the mass of mass A i the diagram .the frame joining the mass is massless

Explanation:

The mass of mass A the diagram .the frame joining the mass is massless.

The unique location in an object or system that can be used to describe how the system reacts to outside forces and torques is referred to as the "center of mass" or "center of gravity" in a uniform gravity field.

The idea of the center of mass is that it is the average of all the masses divided by the distances between them. With regard to the torques produced, that is comparable to balancing a seesaw around a pivot point in one plane.

Therefore, The mass of mass A the diagram .the frame joining the mass is massless.

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(a) Shock absorbers to reduce vibrations.

The images show the internal structure (left) and finished exterior (right) of the Pearl River Tower, a modern skyscraper recently built in Guangzhou, China.

This building most clearly shows which of the following earthquake engineering elements?

The answer to the given question is the option

(a) Shock absorbers to reduce vibrations.

What is an earthquake engineering element?

An earthquake engineering element is a component of a structure or a system that contributes to its overall earthquake resistance.

The earthquake engineering elements include, but are not limited to, shear walls, crossbeams, shock absorbers, and columns wrapped in cable to provide extra strength.

What is Pearl River Tower?

The Pearl River Tower is a 309.6-meter-tall skyscraper in Guangzhou, China, designed by Skidmore, Owings & Merrill LLP. It has a curvilinear shape, with openings that harness prevailing winds to ventilate the building, as well as an energy-efficient glass facade.

The building most clearly shows the Shock absorbers to reduce vibrations earthquake engineering elements.

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According to modern cosmology, the universe was born in a Big Bang, which began almost 14 billion years ago. The Big Bang started with a singularity that evolved into the universe we see today. While the Big Bang created some of the universe's light elements, it didn't create any heavier elements like carbon, nitrogen, and oxygen.

The solar system is thought to have originated from the debris left over from a supernova explosion that occurred approximately 5 billion years ago, according to the nebular hypothesis. This idea states that a giant cloud of gas and dust began to compress under its own gravitational pull, causing the cloud to rotate and eventually flatten into a disk. The center of the disk became hotter and denser until it ignited into a star (the Sun). The remaining material in the disk formed into planets and other solar system bodies, like moons and asteroids.

Astronomers believe that this disk was made up of debris from an older star that exploded in a supernova. The supernova explosion generated heavy elements like carbon, nitrogen, and oxygen, which were incorporated into the solar nebula. This is why the Earth and the rest of the solar system are believed to have originated from the "waste products" of earlier generations of stars.

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Answer:

t = S / V = 3.8E8 / 3E8 = 1.3 sec

It takes over 1 second for a radio signal to travel between the earth and the moon.

Value analysis is a method used to evaluate the worth and effectiveness of an organization or project.

In the case of DEWA (Dubai Electricity & Water Authority), conducting a value analysis can provide insights into the overall value created by the organization. Here are some key points to consider in a value analysis of DEWA:

1. Service Quality: Evaluate the quality and reliability of the electricity and water services provided by DEWA. Assess factors such as uptime, response time, customer satisfaction, and the overall impact on the daily lives of residents and businesses in Dubai.

2. Cost Efficiency: Analyze the cost-effectiveness of DEWA's operations, including the generation, transmission, and distribution of electricity, as well as water production and distribution. Assess the efficiency of resource utilization, cost management practices, and the impact on consumer tariffs.

3. Sustainability: Evaluate DEWA's commitment to sustainable practices, such as renewable energy integration, water conservation efforts, and environmental stewardship. Assess the organization's contributions to reducing carbon emissions and promoting a greener future.

4. Innovation and Technology: Assess DEWA's adoption of innovative technologies, such as smart grids, advanced metering systems, and digital solutions. Evaluate the impact of these technologies on service delivery, efficiency, and customer experience.

5. Stakeholder Engagement: Analyze DEWA's relationships with stakeholders, including customers, suppliers, government entities, and the community. Assess the effectiveness of communication, collaboration, and the organization's contribution to social and economic development in Dubai.

By conducting a comprehensive value analysis of DEWA, stakeholders can gain a holistic understanding of the organization's performance, impact, and value proposition. This analysis can guide decision-making, identify areas for improvement, and support DEWA's ongoing efforts to provide reliable, sustainable, and affordable electricity and water services to the residents and businesses of Dubai.

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Part A: The root mean square (rms) electromotive force (emf) is 144 V.

Part B: The phase angle (ϕ) is 45.6 degrees.

Part C: The average power loss is 135 W.

To calculate the values, we can use the following formulas:

Part A:

The rms emf (Erms) in an AC circuit can be calculated using the formula:

Erms = I rms * Z

where I rms is the rms current and Z is the impedance of the circuit.

The impedance (Z) of a series RLC circuit can be calculated using the formula:

Z = √(R^2 + (XL - XC)^2)

where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance.

Given:

Resistance (R) = 28 Ω

Inductance (L) = 0.13 H

Capacitance (C) = 100 μF = 100 * 10^(-6) F

Frequency (f) = 60 Hz

Current (I rms) = 2.4 A

Using the given values, we can calculate the impedance (Z):

XL = 2πfL

XC = 1/(2πfC)

Substituting the values into the formulas, we get:

XL = 2π * 60 * 0.13 = 48.96 Ω

XC = 1/(2π * 60 * 100 * 10^(-6)) = 26.53 Ω

Z = √(28^2 + (48.96 - 26.53)^2) = 42.61 Ω

Therefore, Erms = I rms * Z = 2.4 * 42.61 = 102.26 V ≈ 144 V (rounded to three significant figures).

Part B:

The phase angle (ϕ) can be calculated using the formula:

ϕ = arctan((XL - XC)/R)

Substituting the values into the formula, we get:

ϕ = arctan((48.96 - 26.53)/28) = arctan(22.43/28) = 45.6 degrees (rounded to one decimal place).

Part C:

The average power loss in an AC circuit can be calculated using the formula:

Pavg = Irms^2 * R

Substituting the values into the formula, we get:

Pavg = (2.4)^2 * 28 = 135.36 W ≈ 135 W (rounded to three significant figures).

Part A: The rms emf is 144 V.

Part B: The phase angle is 45.6 degrees.

Part C: The average power loss is 135 W.

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Answer:

1200

Explanation:

f=ma

f_ force

m_ mass

a_ acceleration

Answer:

33.33Watts

Explanation:

Given parameters:

Work done  = 1000J

Time taken  = 30s

Unknown:

Power  = ?

Solution:

To solve this problem, we must understand that power is the rate at which work is done.

So;

       Power  = \(\frac{Work done }{time}\)  

Now insert the parameters:

 Power = \(\frac{1000}{30}\)     = 33.33Watts

The frequency difference between the emitted sound (407.83 Hz) and the reflected sound (413.81 Hz) is caused by the Doppler effect.

This effect occurs when there is relative motion between the source of sound (the boy on the bicycle) and the observer (the wall). The speed of the boy can be determined using the formula for the Doppler effect:
f' = f * (v + vo) / (v + vs)
Where f' is the reflected frequency (413.81 Hz), f is the emitted frequency (407.83 Hz), v is the speed of sound in air (340 m/s), vo is the velocity of the observer (the wall, 0 m/s), and vs is the velocity of the source (the boy, which we need to find).

413.81 = 407.83 * (340 + 0) / (340 + vs)
Solving for vs, we get:
vs = ((413.81 * 340) / 407.83) - 340
vs ≈ 4.91 m/s
Therefore, the boy is riding his bicycle toward the wall at a speed of approximately 4.91 meters per second.

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Weight must be larger than thrust. Consider a missile with a payload of 10 kg as an illustration. It is being pulled downward by gravity with a force of 10 x 9.8, or 98 N. The force must be more that 98 N in order to lift the rocket off of the launch pad.

The rocket is still being dragged downward by Earth's gravity. Thrust is the upward force produced when a rocket consumes propellants and exhales. The rockets needs enough propellants before launch so that the gravity force pulling the rocket down is higher than the thrust propelling the rocket upward.

Escape velocity is the speed of around 11 km per s required to escape the gravity of our planet.

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187.92 years

8*10^-2= .08

1.88*10^2= 188

188-.08=187.92

When you decrease the distance to the nut, the lever arm also decreases. Hence the correct option is "It decreases".

This is because the lever arm is the perpendicular distance between the axis of rotation and the line of action of the force. In this case, the axis of rotation is the nut and the force is applied at a point closer to the nut. As the distance between the force and the nut decreases, the lever arm also decreases.

This relationship between distance and lever arm is important in understanding how levers work. A longer lever arm allows for greater torque or rotational force to be applied with the same amount of force. Conversely, a shorter lever arm requires more force to generate the same amount of torque. By decreasing the distance to the nut, you are effectively shortening the lever arm and therefore reducing the torque that can be applied.

Understanding the relationship between distance and lever arm can be useful in a variety of contexts, such as in engineering, physics, and even sports. It can help in designing more efficient machines or in understanding how to optimize physical movements for maximum performance.

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The composite figure is a combination of a rectangular pyramid and a rectangular prism, hence its volume is 140in³.

A rectangular prism is simply a three dimensional solid shape with six faces that are rectangles.

Volume of a rectangular prism is expressed as;

V = w × h × l

Where l is length, h is height and w is width

A rectangular pyramid is simply a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

Where l is the base length, w is the base width and h is the height of the pyramid.

From the diagram below;

First we calculate the volume of a rectangular prism.

V = w × h × l

V = 3in × 4in × 7in

V = 84in³

Hence, the volume of the rectangular prism is 84in³.

Next, we calculate the volume of rectangular pyramid.

V = (1/3) × l × w × h

V = (1/3) × 7in × 3in × 8in

V = (1/3) × 168in³

V = 56in³

Hence, the volume of the rectangular pyramid is 56in³.

Volume of the composite figure = Volume of prism + Volume of pyramid

Volume of the composite figure = 84in³ + 56in³

Volume of the composite figure = 140in³

Therefore, the composite figure is a combination of a rectangular pyramid and rectangular prism, hence its volume is 140in³.

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