the resistance of water to the motion of a 500 lb speedboats and v in feet per seco\eaches 60 mph. determine the time required for the boat to slow to 10 mph.

Answers

Answer 1

The time required can be found to be approximately 68.7 seconds.

The time required for the boat to slow down from 60 mph to 10 mph can be determined using the equation for the force of resistance, which is given by:

f = 0.20v

The force of resistance is proportional to the velocity of the boat, and acts in the opposite direction to the velocity. The net force on the boat is equal to the sum of the resistive force and the force of gravity, which acts downward.

The equation of motion for the boat can be written as:

m dv/dt = -f

where m is the mass of the boat, v is the velocity of the boat, and t is time.

dv/dt = -f/m = -0.20v/m

Δv = v₂ - v₁ = -t ∫v/m dv = -0.20t ∫v² dv

t = Δv / (-0.20v₂²) = (v₁² - v₂²) / (0.20v₂²)

The time required can be found to be approximately 68.7 seconds.

This equation can be solved for the time required for the boat to slow down from 60 mph to 10 mph. However, this requires numerical methods, such as the Euler method or the Runge-Kutta method. A rough estimate can be obtained by assuming that the boat slows down at a constant rate, and that the time required is proportional to the change in velocity.

The initial velocity is 60 mph = 88 ft/s and the final velocity is 10 mph = 14.7 ft/s. The mass of the boat is 500 lb = 226.8 kg.

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The resistance of water to the motion of a 500 lb speedboat is given by f=0.20v, where f is expressed in pounds and v in feet per second. The boats engine is turned off when it reaches 60 mph. Determine the time required for the boat to slow to 10 mph.


Related Questions

how much energy does the battery supply in 3 h ? express your answer to three significant figures and include the appropriate units

Answers

Answer:

explain the question again

at very large positive or negative values of x, the electric field approaches zero in both parts (a) and (b) of the figure. in which does it most rapidly approach zero and why?

Answers

The electric field in part (a) of the figure most rapidly approaches zero. This is because the electric field is inversely proportional to the square of the distance between the charges.

What is the electric ?

Electricity is a form of energy that exists in nature and is the flow of electrical power or charge. It is a fundamental part of the universe, and is one of the basic building blocks of modern science and technology. Electricity is used to power a wide range of electronic devices, including computers, phones, televisions, and appliances. It is also used to light homes and businesses, to power transportation systems, and to provide heating and cooling to homes and businesses.

the distance between the positive and negative charge increases exponentially, whereas in part (b), the distance is constant. Therefore, the electric field in part (a) decreases much more rapidly than in part (b).

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You are looking at two bars made of solid gold. The first one has a temperature of 20 °C, while the second one has a temperature of 80 °C. Gold has a melting point of 1948 °C. Which of the following statements are correct?



I The particles in the 20 °C bar are vibrating faster than the particles in the 80 °C bar.
II The particles in both bars are moving around randomly.
III The particles in the 80 °C bar have a higher average kinetic energy.

Group of answer choices

I, II, and III

I and III only

I only

III only

Answers

The particles in the 80 °C bar are vibrating faster than the particles in the 20 °C bar.

What is solid?

One of the four basic states of matter is solid (the others being liquid, gas, and plasma). The least energetic molecules are those that are tightly packed together and make up solids. A solid is distinguished by its structural rigidity and resistance to external forces.

As the temperature of a solid increases, the vibration of atoms of solid bar increases. Hence, the particles in the 80 °C bar are vibrating faster than the particles in the 20 °C bar.

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during a very quick stop, a car decelerates at 7.00 m/s2. what is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement? how many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s?

Answers

Therefore, angular acceleration is equal to linear acceleration multiplied by the radius, which is a negative 7.00 m/s squared divided by a negative 0.280 m/s squared or a negative 25.0 r/s squared.

In the event that its 0.280 m circle tires do not slide on the pavement, what is their angular acceleration?

negative 7.00 metres per second ( m / s divided by 0.280 metres is equal to negative 25.0 radians / second squared, or angular acceleration, which is defined as accelerometer divided by the radius.

Why does radius not affect the angular acceleration?

Compared to the area nearer the axis of rotation, it experiences a substantially greater tangential acceleration.However, because the entire item moves through the same arc in the same length of time as a rigid body, the angular velocity of every component of the wheels is the same.

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Referring to the information PEI received through March 2010 from the Stop the Static Campaign reading, what was the general pattern for gas pump fires by month? Why do you think this trend
emerged?

Answers

The common cause for gas pump fires  is  static electrical discharge.

What is static electricity?

Static electricity is an imbalance of electric charges within or on the surface of a material or between materials.

In petrol pumps,

During refueling, many petroleum products become electrically charged when they flow through pipes and hoses, including gasoline, kerosene, petrol, diesel etc. which are poor electrical conductors.

Charge remains until it is able to move away by means of an electric current or electrical discharge which causes the static spark that can ignite gasoline vapors, causing a flash fire.

Hence, static electrical discharge is common cause of gas pump fires.

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5) How do the mathematical relationships you figured out about the effects of mass and speed of an object on its kinetic
energy help you make more-accurate predictions for whether a collision would produce damage in some cases and not
others?

Answers

The math helps us to determine the amount of kinetic energy an object has based on its mass and speed, and this information can be used to predict whether a collision would produce damage in some cases and not others. By calculating the kinetic energy of two objects, we can determine the amount of energy that would be released upon impact and whether it would be enough to cause damage. This can help us to make more informed decisions about the safety of certain activities or scenarios.

What is energy?

Energy is the ability to do work. It is the capacity to move an object or cause change. It exists in many forms, such as kinetic energy (energy of motion), potential energy (stored energy), thermal energy (heat), electrical energy, chemical energy, and nuclear energy.

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a 6.0-v battery that can store 500.0j of ernergy is connected to a resitor. how much charge must flow between the battery's terminals to completely drain the barrtery if it is fully charged?

Answers

Answer:

explain again please meet other people

An object is placed 11.9 cm in front of a mirror. What type must the mirror be to form an image of the object on a wall 1.73 m away from the mirror? What is the magnification of the image? Is the image real or virtual? Is the image inverted or upright?

Answers

The mirror is a Concave mirror, the magnification is 0.55.

What is optics?

The field of physics known as optics is concerned with the behaviour and characteristics of light, including how it interacts with matter and how to build instruments that can either use or detect it.

Since the image is upright and larger than the object, we need a concave mirror.

We know image height, h/object height, h = -image distance, d'/object distance, d

h'/h = -d'/d

Using the real is a positive convention,

h'= + 11.9 cm, h = + 21.3cm and d = 173 cm.

11.9 cm/ 21.3 cm = -d'/+ 173

0.55 = -d'/ 173

d' = -95.15 cm

Magnification = image height, h'/object height,h

Magnification  = 11.9 / 21.3 = 0.55

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imped) og 90
Does a 2-kilogram rock have twice the mass
of a 1-kilogram rock? Twice the inertia? Twice
the weight (when weighed in the same loca-b
tion)? (4.5)
urged
bib ord:

Answers

Yes, a 2kg rock will have twice the weight and inertia of a 1 kg rock.

What is the weight of an object?

The weight of an object is the measure of the effect of force of gravity on the object.

W = mg

where;

m is the mass of the objectg is acceleration due to gravity

The weight of 2 kg rock and 1 kg rock is calculated as;

W (2) = 2 kg x 9.8 m/s² = 19.6 N

W (1) = 1 kg x 9.8 m/s² = 9.8 N

The weight of 2 kg rock is twice the weight of the 1 kg rock.

Inertia is the measure of reluctance of an object to move or stop moving and it depends on mass, so 2 kg tock will have twice the inertia of 1 kg rock.

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The length of the vibrating air column of a simple resonance tube can be altered by adjusting a water level. Resonance is found for a fork of frequency 440 Hz when the length of the air column is 18.8 cm and again when it is 57.3 cm. Explain how each of these positions occurs; calculate the speed of sound in the air in the tube and the position of the next resonance as more water is run out. what would be the corresponding resonance distances if the tube were filled with gas in which the speed of sound is 264m/s​

Answers

The two  corresponding resonance distances  would be:

18.8 cm * (264 m/s) / (8332 cm/s) = 0.15 m57.3 cm * (264 m/s) / (8332 cm/s) = 0.45 m

What are resonance distances?

Resonance distances refer to the lengths of the air column in a resonance tube that result in resonance. Resonance occurs when the pressure variations at the two ends of the air column are in phase, which means that the distance between the two pressure nodes must be equal to an integer multiple of one-quarter wavelength (i.e., one-quarter of the wavelength of the sound wave). The length of the air column that results in resonance is referred to as a resonance distance. When the air column is at a resonance distance, it acts as a standing wave, with both pressure and velocity antinodes at the open end of the tube and pressure nodes and velocity antinodes at the closed end. The resonance distances can be used to calculate the speed of sound in the gas filling the tube.

Calculation of Resonance distance:

For the first resonance, where the length of the air column is 18.8 cm, the distance between the pressure nodes must be equal to one-quarter of the wavelength of the sound wave at a frequency of 440 Hz:

(1/4)λ = 18.8 cm

Knowing the frequency and wavelength, the speed of sound in air can be calculated:

v = fλ

Substituting the values for frequency and wavelength:

v = (440 Hz)(18.8 cm) = 8332 cm/s

For the second resonance, where the length of the air column is 57.3 cm, the distance between the pressure nodes must be equal to three-quarters of the wavelength of the sound wave:

(3/4)λ = 57.3 cm

Solving for wavelength:

λ = (57.3 cm)(4) / 3 = 76 cm

The next resonance distance can be found by adding one-quarter of the wavelength to the previous resonance distance. In this case, the next resonance distance would be:

18.8 cm + (1/4)λ = 18.8 cm + (1/4)(76 cm) = 18.8 cm + 19 cm = 37.8 cm

If the tube were filled with a gas in which the speed of sound is 264 m/s, the wavelength of the 440 Hz sound wave would be:

λ = v / f = (264 m/s) / (440 Hz) = 0.6 m

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a block with a mass of 40 kg is being pushed along a very slippery surface by a 44 lb force. find the acceleration of the block rounded to three significant figures.

Answers

The acceleration of block with mass 40 kg is 4.89 m/s^2.

Force is defined as an external cause that changes or tends to change the state of the body once applied. If the body is in motion, it comes to rest, and if at rest, then it will come to motion. It can also cause a change in the direction, shape, size, etc., of the body. Pushing or pulling a door with force is an example.

Force = mass × acceleration

Force is 44 lb = 195.7218 N

Mass = 40 kg.

Now using the formula for force,

195.7218 = 40 × acceleration

Acceleration = 4.89 m/s^2

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near one end of an electrically neutral aluminium rod lying on a table made of non conducting material ,you hold a comb that is also made of non conducting material .does a small still sphere located near the other end of the sphere

Answers

When you hold a comb near one end of the aluminum rod, electrons from the rod will flow towards the comb due to its negatively charged electrons.

However, this will result in a redistribution of electrons within the rod, not the generation of an electric charge on the other end of the rod, which is too far away to be affected by the comb.

Since both the comb and the rod are made of non-conducting materials, the electrons will not be able to flow freely, and the redistribution will be limited. This means that the sphere at the other end of the rod will not experience an electric charge.

So in short, the sphere does not experience an electric charge.

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which of the following statements apply to wide-angle lens shots? check all that apply. a the space appears compressed. b they minimize movement toward or away from the camera. c they exaggerate the distance from foreground to background objects. d the sense of movement is expanded.

Answers

The statements that apply to wide-angle lens shots is that the space appears compressed and that they exaggerate the distance from foreground to background objects. The correct answer is a and c.

A wide-angle lens shot is characterized by a wider field of view than normal lenses. This results in a compressed space within the frame, as objects that are far apart appear closer together.

Additionally, a wide-angle lens has the effect of exaggerating the distance between foreground and background objects, making the background seem further away. This can be used to create a greater sense of depth in a shot.

On the other hand, wide-angle lenses minimize movement toward or away from the camera and do not necessarily expand the sense of movement. However, the wider field of view can make movements seem more pronounced, giving a greater sense of space and energy to the shot.

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increasing the diameter of a telescope i. increases its light gathering power. ii. increases its resolving power. iii. increases it magnifying power. iv. increases its chromatic aberration.

Answers

Yes, a telescope's diameter can be increased to achieve all of these results.

The telescope can gather more light by expanding its diameter, which makes it simpler to observe faint objects. The telescope's resolving power is also improved by the larger diameter, which enables it to resolve minute details with greater accuracy. The telescope can create images with higher levels of magnification with more light and better resolving power. As a result of different light wavelengths being focused at different spots, chromatic aberration—which is another effect of greater diameter—can also rise.

An optical device called a telescope is used to magnify distant objects, enabling us to view distant galaxies, planets, stars, and other astronomical objects. In order to gather light and create an image, telescopes come in a wide variety of sizes and designs and employ a variety of lenses and mirrors. Terrestrial items like birds and trees can also be seen through telescopes. Astronomers and researchers utilise telescopes, as do amateur astronomers who seek to study the night sky.

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while an object near the earth's surface is in free fall, its acceleration increases. mass increases. mass decreases. velocity increases.

Answers

The correct answer is A) Acceleration increases. When an object is in free fall near the Earth's surface, its velocity increases as it accelerates due to the force of gravity.

This acceleration is constant, and the object's mass does not affect the acceleration rate. As the object accelerates, its velocity increases, and its mass remains constant.

Acceleration is the rate at which velocity changes over time. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration can be caused by a number of factors, such as a change in the speed of an object, a change in direction, or the application of a force. An object is said to be accelerating if it is changing its velocity.

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estimate how long it took king kong to fall straight down from the top of the building (389 m high).

Answers

For rectilinear motion with constant acceleration, equations have already been obtained. They are further simplified for free falling objects as just gravity is operating on the body.

What is the Class 9 free fall formula?

Imagine that an object body is falling freely from a height of h at a terminal velocity of v for t seconds under the influence of g-force. It will move according to the equations of motion h=frac1gt2 and v2=2gh.

What is the falling object formula?

where g is the gravitational acceleration. On Earth, the value of g is 9.8 m/s/s. The velocity of the object after being dropped from rest for any given period of time can be calculated using the aforementioned equation.

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a ball with mass 0.48 kg moves at a constant speed. a centripetal force of 23 n acts on the ball, causing it to move in a circle with radius 1.7 m. what is the speed of the ball?

Answers

Answer:

The speed of the ball can be found using the formula:

v = sqrt(Fc / m) = sqrt(23 N / 0.48 kg) = sqrt(23 / 0.48) m/s

v = approximately 4.53 m/s

The speed of the ball is approximately 9.01 m/s.

The centripetal force acting on a moving object in a circular path is given by the formula:

F = (mv²) / r

where F is the force, m is the mass of the object, v is its speed, and r is the radius of the circular path.

In this case, we know the mass of the ball is 0.48 kg, the centripetal force acting on the ball is 23 N, and the radius of the circular path is 1.7 m. Solving the formula for v, we get:

v = sqrt((Fr) / m)

Plugging in the given values, we get:

v = sqrt((23 N * 1.7 m) / 0.48 kg)

v = sqrt(81.167) m/s

v ≈ 9.01 m/s

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when is it appropriate to describe a charged object as a point charge, and when is it not appropriate?

Answers

Answer: When it slows down or speeds up. Depending on which, it is appropiate.

Explanation:

a small mass m on a string is rotating without friction in a circle. what happens to the tangential velocity of the object

Answers

When a small mass m on a string is rotating without friction in a circle, the tangential velocity of the object increases.

How does tangential velocity affect circular motion?

Tangential velocity is the linear speed of any object that moving along a circular path. A point on the outside edge of a turntable moves a larger distance in one complete rotation than a point near to the center. In uniform circular motion, the direction of the velocity changes continually, so there is always an associated acceleration, although the speed might be constant.

In this case, work is done on the object, and so its kinetic energy increased. Thus, the tangential velocity had to increase. Another way to consider the problem is that kinetic energy (KE) = L2 / 2I. Thus, the kinetic energy (and so the speed) had to increase. Translational kinetic energy = 1/2Mv cm², so if kinetic energy (KE) increases, so must V (velocity).

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A camper is about to drink his morning coffee. He pours 400 grams of coffee, initially at 75°C into a 250-g aluminum cup, initially at 16°C. What is the equilibrium temperature of the coffee-cup system, assuming no heat is lost to the surroundings? The specific heat of aluminum is 900 J/kg • K, and the specific heat of coffee is essentially the same as that of water, which is 4186 J/kg • K.

Answers

The equilibrium temperature of the coffee-cup system is 67.9 °C.

What is the equilibrium temperature?

The equilibrium temperature of the coffee-cup system is calculated based on the law of conservation of energy as shown below.

Heat lost by the coffee = heat gained by the aluminum

(0.4 kg x 4186 J/kg.K ) ( 75 - T ) = ( 0.25 kg x 900 J/kg.K ) ( T - 15 )

where;

T is the equilibrium temperature

125580 - 1674.4T = 225T - 3375

1899.4T = 128,955

T = 128,955 / 1899.4

T = 67.9 °C

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a truck covers 44.0 m in 8.60 s while smoothly slowing down to final speed of 2.90 m/s. (a) find its original speed.

Answers

The original speed of the truck is 19.7 m/s.

To find the original speed of the truck, we can use the equation of motion for constant acceleration:

v = v0 + at,

where v0 is the initial velocity, v is the final velocity, a is the acceleration, and t is the time.

Since the truck is slowing down, its acceleration is negative, and we can find it using the final velocity and time:

a = (v - v0) / t = (2.90 m/s - v0) / 8.60 s.

Next, we can use the distance-velocity relationship for constant acceleration:

d = v0t + 1/2 at²,

where d is the distance traveled.

Substituting the expression for a into the above equation and solving for v0, we get:

v0 = √(v² + 2ad) = √(2.90² + 2 × a × 44.0) m/s.

Substituting the values for v, a, and d into the expression for v0, we get:

v0 = √(2.90² + 2 × (-(2.90 m/s - v0) / 8.60 s) × 44.0) m/s.

Solving this equation for v0, we get:

v0 = 19.7 m/s.

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what must the charge (sign and magnitude) of a particle of mass 1.48 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 610 n/c ? use 9.80 m/s2 for the magnitude of the free-fall acceleration.

Answers

The required charge of the given particle to remain stationary should be -2.3 × 10⁻⁵ C.

The mass of the particle is given as 1.48 g = 0.00148 kg

The magnitude of the downward directed electric field is 610 N/C.

The magnitude of the free-fall acceleration is 9.80 m/s².

Expression of electric field can be given as,

E = F/q

Making q as subject, we have,

q = F/E

The particle's force is equal to the product of its mass and the acceleration of free fall.

q = (m a) / E = (0.00148 × 9.8)/610 = 2.3 × 10⁻⁵ C

When a particle is subjected to an electric force that is directed downward, the force must be directed upward in order for the particle to remain stationary. The charge's sign should be negative for the opposing direction.

Thus, the charge of the given particle to remain stationary should be -2.3 × 10⁻⁵ C.  

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Discuss the ethical considerations in providing immunization.

Answers

the ethical considerations in providing immunization are vaccinations stand out as being among the most effective and economical

The only form of medical intervention that has successfully eradicated a disease is vaccination. Immunization, however, is fraught with problems and conflicts in both nations with high immunisation rates and nations that are too poor to safeguard their citizens. This piece outlines some of the moral dilemmas involved and offers some notions and problems for the world community.

Among all worldwide medical interventions, vaccinations stand out as being among the most effective and economical. Millions of lives have been saved through vaccinations, which have also eradicated a disease and reduced major morbidity and suffering. The elimination of smallpox as the final success shows the benefits of vaccination. Unfortunately, there are also glaring disparities in the delivery and application of vaccines. Why do millions of children still perish annually from other vaccine-preventable diseases if vaccinations can be used so successfully across the globe to eradicate a disease? In terms of ethics and humanitarianism, this ought to be unacceptable.

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a figure skater can increase her spin rotation rate from an initial spin rotation rate from an initial rate of 1.0 rev every 1.5 seconds, to a final rate of 2.5 rev/s. if her initial moment of inertia was 4.6 kgm2, what is her final moment of inertia?

Answers

The final moment of inertia of the figure skater is approximately 1.23 kgm².

What is the Moment ?

Moment is a concept that refers to a single point in time at which an event or decision must be made. It is often used to describe a critical moment of opportunity or a crucial decision that needs to be made. It can also refer to a specific moment of clarity, when a person suddenly has a realization or an epiphany. The Moment can also refer to a feeling or emotion that can be experienced at a particular time and place. It can be a feeling of joy, love, peace, or sorrow. Whatever the feeling is, it can be a powerful experience that can leave a lasting impression.

We can use the conservation of angular momentum to relate the initial and final moment of inertia of the figure skater:

I_i ω_i = I_f ω_f

where I_i is the initial moment of inertia, ω_i is the initial angular velocity, I_f is the final moment of inertia, and ω_f is the final angular velocity.

We are given that the initial angular velocity is 1.0 rev every 1.5 seconds, which can be converted to radians per second by multiplying by 2π/1 rev:

ω_i = (1.0 rev/1.5 s) * (2π/1 rev) ≈ 4.19 rad/s

We are also given that the final angular velocity is 2.5 rev/s, which can be converted to radians per second by multiplying by 2π/1 rev:

ω_f = 2.5 rev/s * (2π/1 rev) ≈ 15.71 rad/s

Substituting these values into the conservation of angular momentum equation and solving for I_f, we get:

I_f = I_i * (ω_i / ω_f)

I_f = 4.6 kgm² * (4.19 rad/s / 15.71 rad/s)

I_f = 1.23 kgm²

Therefore, the final moment of inertia of the figure skater is approximately 1.23 kgm².

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an oscilloscope measures a time delay of 0.2 milliseconds between a pair of 500 hz sine waves. determine the phase shift.

Answers

The second sine wave is shifted 360.4° ahead of the first sine wave.

What is sine wave ?

A sine wave is a type of waveform, or a periodic oscillation, with a shape that follows the mathematical sine function. It is one of the fundamental waveforms and has a distinctive, smooth curve that repeats itself over intervals of time. It is commonly used in mathematics, physics, engineering, and other fields.

The phase shift between two sine waves is calculated by multiplying the time delay by the angular frequency of the sine wave. Therefore, in this case the phase shift is calculated as follows:

Phase shift = 0.2ms * (2π * 500 Hz)

= 0.2ms * (3141.6 rad/s)

= 628.32 rad.

This result can also be expressed in degrees by multiplying the result by 180/π, which gives a phase shift of 360.4°.

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Balance is the body's ability to maintain ___________ and stability.

strength
control
speed
power

Answers

Control is the answer!

a ball player catches a ball 3.4 s after throwing it vertically upward. with what speed did he throw it, and what height did it reach?

Answers

The ball was thrown upward with an initial velocity of 33.32 m/s and reached a maximum height of 94.1 m.

What is speed?

Speed is a scalar variable that quantifies how quickly an object's position changes in a particular direction. It is a way to gauge how far you've come in a certain amount of time.

How do you determine it?

The following kinematic equations can be used to calculate the ball's initial speed and its highest point:

Vertical displacement (y) is equal to the sum of the initial vertical velocity (vo) and the acceleration (a) times time plus 0.5.

Initial velocity (vo) plus acceleration (a) times time equals final velocity (v).

where a is the acceleration caused by gravity, or -9.8 m/s2.

By setting the ball's end velocity to zero and solving for its beginning velocity and displacement, we can first determine the height to which it can travel.

vo = 9.8 * t

    = 9.8 * 3.4

    = 33.32 m/s

y = vo * t + 0.5 * (-9.8) * t^2

   = 33.32 * 3.4 - 0.5 * 9.8 * (3.4^2)

    = 94.1 m

So, the ball was thrown upward with an initial velocity of 33.32 m/s and reached a maximum height of 94.1 m.

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Force F1 has a magnitude of 30.0N, force F2 has a magnitude of 40 N. The angle between the forces is 60 degree. What is the magnitude and the direction of the resultant vector force, F, obtained by the vector addition of these two forces?
A. F-60.8N, 0-34.7 degrees
B. F 65.5 N. 0= 33.3degrees
C. F=70.0 N, 0= 30.0degrees
D. F 677 N.0 17.1degrees

Answers

The magnitude and direction of the resultant vector force, F, obtained by the vector addition of the two forces F1 and F2 with magnitudes of 30.0 N and 40.0 N, respectively, and an angle of 60 degrees between them, are F = 65.5 N and an angle of 33.3 degrees. Answer is Option b.

To solve this problem, we need to use vector addition. We can break down each force into its horizontal and vertical components using trigonometry, and then add the corresponding components together to get the components of the resultant vector. Finally, we can use the Pythagorean theorem and trigonometry to find the magnitude and direction of the resultant vector.

Using trigonometry, we find that the horizontal component of F1 is 15 N and the vertical component is 25.98 N. Similarly, the horizontal component of F2 is 20 N and the vertical component is 34.64 N.

Adding the horizontal components,

F_horizontal = 15 N + 20 N = 35 N

Adding the vertical components,

F_vertical = 25.98 N + 34.64 N = 60.62 N

Using the Pythagorean theorem, we can find the magnitude of F,

|F| = sqrt((35 N)^2 + (60.62 N)^2) = 65.5 N

To find the angle between F and the x-axis,

tan(theta) = F_vertical/F_horizontal

theta = atan(F_vertical/F_horizontal) = 33.3 degrees

Option b is the final answer.

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an air bag inflates when a collision occurs, protecting a passenger (the dummy in figure q6.16) from serious injury. why does the air bag soften the blow? discuss the physics involved in this dramatic photograph.

Answers

Tiny holes in the airbag itself start releasing the gas as soon as it is filled. By the time your head reaches the bag, it should be deflating.

What physics govern air bags?

Sodium azide, sometimes known as NaN3, is the chemical that drives the air bag reaction. CRASHES trip sensors in cars that transmit an electric signal to an ignitor. As a result of the heat produced, sodium azide breaks down into sodium metal and nitrogen gas, inflating the car's air bags.

Why does the physics of an airbag lessen injuries?

Reduce the body's acceleration to lessen the force that is being delivered to it. This is how airbags operate. The airbag lengthens the period of time when the head's velocity is increased.

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A sample of hydrogen at 1. 65 atm had its pressure decreased to 0. 454 atm producing a new volume of 755 ml. What was its original volume (v^1)

Answers

The original volume of the hydrogen sample was 0.2997 L if a sample of hydrogen at 1. 65 atm had its pressure decreased to 0. 454 atm producing a new volume of 755 ml.

We can use the Ideal Gas Law to find the original volume of the hydrogen sample. The Ideal Gas Law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature. Assuming that the temperature remains constant, we can write:

P1V1 = P2V2

where P1 is the initial pressure of 1.65 atm, V1 is the initial volume, P2 is the final pressure of 0.454 atm, and V2 is the final volume of 755 mL. Converting the volumes to liters and the pressures to atmospheres, we have:

V1 = (P2V2) / P1

V1 = (0.454 * 0.755) / 1.65

V1 = 0.2997 L

So, the original volume of the hydrogen sample was 0.2997 L.

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