calculate the force of gravity in newtons, between the earth and a 70 kg huma standing on the surfac

Answers

Answer 1

The force of gravity, between the earth and a 70 kg human standing on the surface is 688N.

What is the plain meaning of gravity?

The force that pulls items toward the center of a planet or even other body is known as gravity. Each of the planet are kept in orbit about the sun by gravity. But in a wider sense, gravity is a force because it represents the interaction that happens when two masses are in close proximity to one another. Fundamentally, the stretching of space and the movement of items through the stretched spacetime are what produce gravitational effects. However, the outcome appears to be the result of applying force.

Briefing:

the force of gravity ⇒ Fg = G Mm/ R²

Fg=gravitational force

G=gravitational constant

M=mass of Earth

m=mass of object

R=distance from earth's centre to object's centre

Fg = (6.67 × \(10^{-11}\)× 5.98\(10^{24}\)×70)/ (6.37×\(10^{6}\))×(6.37×\(10^{6}\))

⇒ Fg ≅ 688N.

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Related Questions

True or False
1)All forces cause a change in an object’s speed and direction.

Answers

Answer:

True

Explanation:

Answer and Explanation:

True I believe bc if you put a certain amount of force on an object it'll move and depending on where you place the force on the object it'll move in that direction. How much force and how much weight the object has will determine the speed...

need help Match the description to the correct part of the electromagnetic spectrum.

need help Match the description to the correct part of the electromagnetic spectrum.

Answers

Waves produced by an object that radiates heat are infrared rays and radio waves have the longest wavelength.

What are electromagnetic waves?

The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves or EM waves. In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves.

Waves produced by an object that radiates heat are infrared rays.Waves that have the longest wavelength and lowest frequency/energy are radio waves.Rays that occur naturally in sunlight; most are absorbed by the ozone layer; can cause cancer are ultraviolet rays.Have the shortest wavelength and highest energy; produced by stars and nuclear explosions are gamma rays.The part of the electromagnetic spectrum that can be detected by human eyes; allows us to see is the visible light spectrum

Thus, this is the description of the correct part of the electromagnetic waves.

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What is the type of radioactive decay represented by the equation above? A. Gamma B. Fusion C. Alpha D. Fission 40. Alberta uses clean coal technology. This means that the coal has a lower i content than coal in other parts of Canada, which results in reduced ii The statement above is completed correctly by the information in row olla sdf to ridW Row i A. sulfur greenhouse gas emissions acid deposition sulfur carbon greenhouse gas emissions acid deposition carbon B. C. D. 29. Which of the following graphs depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth? A. Field Strength (N/kg) C. Field Strength (N/kg) Mass (kg) Mass (kg) B. Field Strength (N/kg) D. Field Strength (N/kg) Mass (kg) CADLC 30. Which of the following sequences of colours represents the changing temperatu from the surface to the atmosphere of the sun? a A. Red, orange, yellow, blue B. Yellow, red, orange, blue C. Orange, yellow, blue, red D. Blue, yellow, orange, red 1. When a star undergoes a blue shift, the star is A. moving away from an observer B. moving towards an observer C. moving parallel to an observer D. stationary Mass (kg)

Answers

The sun is Yellow, red, orange, and blue. Therefore option B is correct.

The star is moving toward an observer. Therefore option B is correct.

39. The type of radioactive decay represented by the equation provided Gamma. Therefore option A is correct.

40. The statement is completed correctly by the information which states that the coal in Alberta has a lower carbon content than coal in other parts of Canada, resulting in reduced greenhouse gas emissions.

29. graph B depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth.

30. The correct sequence of colors representing the changing temperature from the surface to the atmosphere of the sun is Yellow, red, orange, and blue. Therefore option B is correct.

1. When a star undergoes a blue shift, it indicates that the star is moving toward an observer. Therefore option B is correct.

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A truck driver sees a dog running into the road. He immediately brakes. Describe the energy transfers in the truck as it comes to a stop.

Answers

Answer: find the answer in the explanation as kinetic energy converts to potential energy.

Explanation:

Before the truck driver sees a dog running into the road, The mechanical energy state of the truck will be kinetic energy at maximum.

Immediately he applied the brakes, the mechanical energy of the truck will be combination of kinetic energy and potential energy.

The kinetic energy will gradually decrease as potential energy continue to increase till it reaches maximum potential energy.

The truck will come to a stop at maximum potential energy

In a gravitational-free environment, an object of unknown mass is connected to a spring with k = 40 N/m. The spring is compressed .2 m to and released. At the moment the spring is released, the object accelerated at 3 \(m/s^{2}\). What is the mass of the object?


pls explain asap!!!

Answers

Newton's Third Law of Motion states that springs exert a restoring force when they are pulled. The relationship between the spring force, spring constant, and spring displacement is governed by Hooke's Law.

Mass of the object= k*x/a= 26kg

what is Hooke's law?

The force (F) required to extend or compress a spring by a certain distance (x) scales linearly with respect to that distance, according to the empirical law known as Hooke's law.

according to  Hooke's law

f=-k x (-ve because spring is compressing)

from force equation f=ma m-=mass, a= acceleration , k=spring constant, x= displacemt due to compression

so, ma=-k x, (mass can not be -ve so remove -ve sign)

m=k x/a= 40*2/3=26.67 kg

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Find the direction of the sum of
these two vectors:

Find the direction of the sum ofthese two vectors:

Answers

Go up n duh left corner den expand

Your supervisors at A&L Engineering have tasked you with evaluating the durability of three common materials used in the design of cell phone cases

Answers

A&L Engineering, as an engineer, you've been tasked with evaluating the durability of three common materials used in the design of cell phone cases.

These materials include:Carbon FiberPolycarbonateTPUExplanation:Carbon fiber is a lightweight, durable, and corrosion-resistant composite material. It is often used in the aerospace, automotive, and sporting goods industries.Polycarbonate is a thermoplastic polymer that is strong, shatter-resistant, and lightweight. It is often used in the production of CDs, DVDs, and eyeglass lenses.

TPU (thermoplastic polyurethane) is a flexible, soft material that is abrasion-resistant and provides excellent impact protection. It is often used in the production of phone cases, as well as sporting equipment and medical devices.To evaluate the durability of these materials, you can conduct a series of tests to measure their resistance to impacts, scratches, and bending.

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Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.

Answers

The star is moving away from Earth at a velocity of 1.8 x 106 m/s.

The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.

The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.

The velocity of a star moving away from Earth can be determined using the equation:

v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).

In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.

The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.

Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.

Therefore, velocity of star 1.8 x 106 m/s.

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A wave has a period of 2s and a wavelength of 5m. What is the speed of the wave?

Answers

Answer:

10m per Second

Explanation:

1.1 Which of the following is a non-metal ?
A Zn
B Fe
C Ne
D Na​

Answers

It is Ne which is neon (a gas)

The structural diversity of carbon-based molecules is based upon which of the following properties?
A. the ability of those bonds to rotate freely
B. the ability of carbon to form four covalent bonds
C. None of these choices is correct.
D. All of these choices are correct.
E. the orientation of those bonds in the form of a tetrahedron

Answers

The ability of carbon to form four covalent bonds: Carbon has four valence electrons, allowing it to form up to four covalent bonds with other atoms.

This versatility in bonding allows for the formation of complex and diverse carbon-based molecules.E. The orientation of those bonds in the form of a tetrahedron: Carbon atoms bonded to four different groups tend to adopt a tetrahedral geometry. This arrangement contributes to the three-dimensional shape and structural diversity of carbon-based molecules.Therefore, all of these choices contribute to the structural diversity of carbon-based molecules.

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Calculate the average binding energy per nucleon for Chromium, 52 C r (atomic mass = 51.940509 u). Answer in MeV.

Answers

The average binding energy per nucleon for Chromium-52 is 2.61 MeV/nucleon.



The average binding energy per nucleon can be calculated using the formula:

Average binding energy per nucleon = (Total binding energy of the nucleus) / (Number of nucleons)

To calculate the total binding energy of the Chromium-52 nucleus, we can use the mass-energy equivalence formula:

E = mc²

where E is energy, m is mass, and c is the speed of light.

The mass of a Chromium-52 nucleus is:

51.940509 u x 1.66054 x 10⁻²⁷ kg/u = 8.607 x 10⁻²⁶ kg

The mass of its constituent nucleons (protons and neutrons) can be found using the atomic mass unit (u) conversion factor:

1 u = 1.66054 x 10⁻²⁷ kg

The number of nucleons in the nucleus is:

52 (since Chromium-52 has 24 protons and 28 neutrons)

The total binding energy of the nucleus can be calculated by subtracting the mass of its constituent nucleons from its actual mass, and then multiplying by c²:

Δm = (mass of nucleus) - (mass of constituent nucleons)
Δm = 51.940509 u x 1.66054 x 10⁻²⁷ kg/u - (24 x 1.007276 u + 28 x 1.008665 u) x 1.66054 x 10⁻²⁷ kg/u
Δm = 2.413 x 10⁻²⁸ kg

E = Δm x c²
E = 2.413 x 10⁻²⁸ kg x (2.998 x 10⁸ m/s)²
E = 2.171 x 10⁻¹¹ J

To convert this energy into MeV (mega-electron volts), we can use the conversion factor:

1 MeV = 1.60218 x 10⁻¹³ J
²⁶
Total binding energy of Chromium-52 nucleus = 2.171 x 10⁻¹¹ J
Total binding energy of Chromium-52 nucleus in MeV = (2.171 x 10⁻¹¹ J) / (1.60218 x 10⁻¹³ J/MeV) = 135.7 MeV

Now we can calculate the average binding energy per nucleon:

Average binding energy per nucleon = (Total binding energy of the nucleus) / (Number of nucleons)
Average binding energy per nucleon = 135.7 MeV / 52 nucleons
Average binding energy per nucleon = 2.61 MeV/nucleon

Therefore, the average binding energy per nucleon for Chromium-52 is 2.61 MeV/nucleon.

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The distance between the wire and the circular current loop is r = 3.0 cm. Wire 2.0 A, distance Wire B to r 2.0 mm and 0.20 APart AWhat is the magnitude of the torque on the circular current loop?Express your answer with the appropriate units.

Answers

The magnitude of the torque on the circular current loop is 5.36 × 10^-7 N m.

τ = μ x B x sin(θ)

B_wire = 4π × 10^-7 * 2.0 / 0.03 = 8.45 × 10^-5 T

B_loop = 4π × 10^-7 * 0.20 / (π * 0.002^2) = 0.001 T

τ = μ * B_wire * sin(90°) + μ * B_loop * sin(90°)

τ = π * r_loop^2 * I_loop * B_loop

τ = π * (0.03)^2 * 0.20 * 0.001 = 5.36 × 10^-7 N m

A current loop refers to a method of transmitting electrical signals over a long distance using a continuous loop of wire. The loop is typically made up of two wires, with one wire carrying the current and the other serving as a return path. Current loops are commonly used in industrial control systems and process automation applications because they are robust and immune to noise and interference.

In a typical current loop, a transmitter sends a low-level current signal through the loop, which is then detected by a receiver at the other end of the loop. The receiver measures the current and converts it back into a usable signal for further processing. Current loops can transmit analog or digital signals, and they are often used in applications such as temperature sensing, pressure sensing, and level sensing.

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what is the magnitude of the force needed to keep a 60 newton

Answers

A force of μk⋅60N is needed to keep a 60-newton rubber block moving across level, dry asphalt in a straight line at a constant speed.

How much work input is required to lower (not drop) a 120-pound weight from the top of a 3-foot table to the floor?
A. 40 foot-pounds.
B. 360 foot-pounds.
C. 120 pounds of force.

Answers

The work input required to lower a 120-pound weight from the top of a 3-foot table to the floor is 360 foot-pounds. The correct answer is option B.

The work done to lower an object is calculated by multiplying the force exerted on the object by the distance over which the force is applied. In this case, the force exerted is the weight of the object, which is 120 pounds.

The distance over which the force is applied is the vertical distance from the table's top to the floor, which is 3 feet.

To calculate the work input, we use the formula W = F × d, where W is the work, F is the force, and d is the distance.

Substituting the given values, we have W = 120 pounds × 3 feet = 360 foot-pounds.

Therefore, the work input required to lower the 120-pound weight from the top of the 3-foot table to the floor is 360 foot-pounds.

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(i) x = y(x – vt), 2. Lorentz transformation of wave equation Show by direct substitution of the Lorentz transformations (Griffiths eq. 12.18, shown here) into the 1-D wave equation that the Lorentz transformation preserves the form of the wave equation. Namely, ay 1 ay ay 1 Oy show that if then 2 2372 (ii) y = y, (iii) = z. (iv) i = x (1 – 3x)

Answers

The Lorentz transformation demonstrates that the wave equation is consistent with the principles of the special theory of relativity, as the equation remains unchanged when transforming between inertial reference frames.

The Lorentz transformation plays a crucial role in the special theory of relativity, as it relates the coordinates and time of events in one inertial frame to those in another inertial frame moving at a constant velocity relative to the first. The 1-D wave equation represents how a wave propagates through space and time and is given by:

∂²y/∂t² = c²∂²y/∂x²,

where y is the wave function, c is the speed of the wave, and t and x are time and position coordinates, respectively.

Now, let's consider the Lorentz transformations for space and time coordinates:

(i) x' = γ(x - vt),
(ii) y' = y,
(iii) z' = z,
(iv) t' = γ(t - vx/c²),

where x', y', z', and t' are the coordinates and time in the moving frame, γ = 1/√(1 - v²/c²), and v is the relative velocity between the two frames.

By directly substituting the Lorentz transformations (i) and (iv) into the 1-D wave equation, you will see that the wave equation remains invariant under these transformations. This means that the form of the wave equation is preserved, and the laws governing the propagation of the wave are the same in both the stationary and moving frames.

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When explaining to his wife how positive reinforcement and positive punishment are similar, Jackson correctly says that both _______.
Select one:
a. decrease the probability of a behavior
b. add a stimulus
c. increase the probability of a behavior
d. remove a stimulus

Answers

When explaining to his wife how positive reinforcement and positive punishment are similar, Jackson correctly says that both add a stimulus.

Positive reinforcement adds a desirable stimulus after a behavior to increase the likelihood of that behavior being repeated, while positive punishment adds an aversive stimulus after a behavior to decrease the likelihood of that behavior being repeated. While they have opposite effects on behavior, they both involve adding a stimulus to the situation. It is important to note that positive reinforcement is generally considered more effective and humane than positive punishment, as it focuses on rewarding desired behavior rather than punishing undesired behavior.

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The first action to take when making an off-road recovery is to a. hold the steering wheel firmly. b. steer back sharply. c. slow to 5 or 10 mph.
d. none

Answers

After evaluating the situation, you can take any additional actions necessary, such as securely gripping the steering wheel, quickly steering back, slowing down, or employing recovery equipment. It's important to move slowly and deliberately at all times to prevent mishaps or more damage from being done.

The initial step in an off-road recovery isn't any of the choices stated. Depending on the particular circumstance and the kind of recuperation required, the first step to be taken will vary. Generally, the best and safest way to recover the vehicle is to thoroughly examine the situation before taking any action. Some probable first actions include:

To prevent making the issue worse, come to a complete stop and turn off the engine.

Examine the area for any damage or potential dangers, such as sharp items, shattered pieces, or uneven terrain.

Choose the best course of action, such as deploying recovery equipment, enlisting the assistance of other vehicles, or changing the route, after determining the root of the issue.

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The Bohr model below represents which answer Choice
A) Na^1-
B) Na the neutral atom
C) Na^1+

The Bohr model below represents which answer ChoiceA) Na^1-B) Na the neutral atomC) Na^1+

Answers

Answer:

Na⁺

Explanation:

In the given atom:

  Number of protons  = 11

  Number of neutrons  = 12

So, the number of electrons  = 10

The number of protons within an atom is used to determine the kind of atom we have been given.

Since the number of protons is the same as the atomic number, here the atomic number is 11 and this is Sodium .

 In this sodium atom, the number of protons is more than the number of electrons;

 Charge = number of protons  - number of electrons  = 11 - 10  = +1

So, we have a Na⁺

A boy scout troop hikes 10.0 km East and then hikes an
additional 7km North. What the total displacement of
the boy scout troop?

Answers

Answer:

wouldn't it be 17km?

Explanation:

Since its 10km and 7km it would make 17km in total. sorry if this didnt help i suck at this stuff :/

What is the wavelength of the wave in the string

What is the wavelength of the wave in the string

Answers

The standing wave in the figure has 4 nodes and 3 antinodes.

The wavelength of a standing wave is given by,

\(\lambda=\frac{2}{n}L\)

Where n=number of nodes-1

From the figure n=3

Therefore the wavelength is,

\(\lambda=\frac{2}{3}L\)

Therefore the wavelength of the stationary wave produced in the given string of length L is (2/3)L.

If the net force applied by the truck ramp in the previous question is -300,000 N, how far along the ramp will the truck move as it stops?

If the net force applied by the truck ramp in the previous question is -300,000 N, how far along the

Answers

The distance travelled by the truck before coming to a stop is 72.9 m.

What is the acceleration of the truck?

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

F = ma

a = F / m

where;

F is the net forcem is the mass

a = ( -300,000 ) / ( 60,000)

a = -5 m/s²

The distance travelled by the truck before coming to a stop is calculated as follows;

v² = u² + 2as

where;

v is the final velocity when the truck stops = 0u is the initial velocity of the trucks is the distance travelled

0 = u² + 2as

0 = (27²) + (2)(-5)(s)

= (27²) - 10s

10s = 27²

s = ( 27² ) / 10

s = 72.9 m

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In a certain viscous ( SAE 30), incompressible flow field with zero body forces the velocity components are
u=ay - b(cy-y^2); V= W= 0;
where a = 5; b = 779 [1/(s m)], and c are constant. Use the Navier - Stokes equations to determine an expression for the pressure gradient in the x direction [Pa/m].

Answers

An expression for the pressure gradient in the x direction a - bc = 0,c = - 0.006418.

As given ρ = c

Momentum in x,

ρ \(\frac{du}{dt}\) = ρ gx - \(\frac{dp}{dx}\) + μ (\(\frac{d^2u}{dy^2}\) + \(\frac{d^2u}{dy^3}\) + \(\frac{d^u}{dz^2}\))

u = ay - b(y - \(y^{2}\))

dp/dx = 2bμ

T = 0, du/dy = 0

a - bc = 0

c = - 0.006418

The pressure gradient, which is a physical term used in atmospheric science to indicate the direction and rate at which pressure rises most quickly around a certain site, is normally defined as being of air, although it can also more broadly refer to any fluid momentum. Pascals per meter (Pa/m) is a dimensional unit used to express the pressure gradient. The gradient of pressure as a function of position is what it is mathematically referred to as. The force density is the name for the negative gradient of pressure.

Pressure gradients in petroleum geology and petrochemical sciences relevant to oil wells, and more especially in hydrostatics, refer to the gradient of vertical pressure in a column of fluid within a wellbore and are often stated in pounds per square inch per foot (psi/ft)

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What is your example of a physical change?

Answers

Answer:

ductility

Explanation

flattening of a metal to form a sheet

1. The Coulomb force between two charges q1 and q2 at separation r in air is F. If half of the separation is filled with medium of dielectric constant 9, what will be the value of new coulomb force? 2.There are two large parallel metallic platesP1 and P2 carrying surface charge densities σ1 and σ2(σ1> σ2) respectively, placed at some distance d apart in vacuum. Determine the work done by the electric field in moving a point charge q from P1 to P2 along a line a (a

Answers

Answer:

Explanation:

1 )

F = k q₁q₂ / r² where k = 9 x 10⁹

So force F₁ =  \(\frac{kq_1q_2}{(\frac{r}{2}+\frac{\sqrt{9} r}{2})^2 }\)

= \(\frac{kq_1q_2}{(\frac{r}{2}+\frac{3 r}{2} )^2 }\)

= k q₁q₂ /4 r²

F₁  =  F / 4

2 ) Electric field due to charge density σ

= σ / ε₀

So net electric field between the plates

=   ( σ₁ - σ₂ )  / ε₀

Force on charge  q

=  ( σ₁ - σ₂ ) q   / ε₀

work done = force x displacement

=  ( σ₁ - σ₂ ) x q x d   / ε₀

using knowledge of states of matter,write a message about the importance of science in our society​

Answers

Answer:

उव्ग्वुव ह्व्झ एउएइहे एइएइएइएएइ सिसुब्स्सी बीस सिस इस्ब एइब

Explanation:

?उग्व्ब्वु विब्सिए इसिग्व विद्बिअब्द सिह्व्व इस्ब्व दिव्ब्स विह्द ऐद्जिइ सुउगव्दी सिइगैगे क्ज्गैइव अजिव्व्ज्व्स कैह्द अजि ह्ज्फ्ज इअह इकुगै ईग इअबे अजिव्ब जैइअब इऐहे ऐइहे ऐइग्गे अत्व्ब ओप्झब रोज दिधिए ऊइफ्ब इसुहद ईउहे सिउउअ दिइब्द स्सिउए ऐइहे सिएय्व एउविये एइव्वे

Sound waves require a medium to travel. *
True
False

 Sound waves require a medium to travel. *TrueFalse

Answers

Answer:

false

Explanation:

Answer:

true

Explanation:

Space is not a medium. and we can not her anything in space. therefore you need a medium in order to hear sound waves.

you kick a soccer ball, delivering an impulse of 23 kg • m/s. if the force you exert on the ball lasts for 0.25s, what is the magnitude of the force

Answers

Answer:0.25s

Explanation:

You kick a soccer ball,delivering an impulse of 23 m/s. If the force you exert on the ball lasts for 0.25s.

Two wind turbines are set up with the following conditions: Turbine Ahas blades that are twice as long as the blades on Turbine B. The tips of the blades on Turbine A are moving twice as fast as the tips of the blades on Turbine B. Part D Which turbine takes the lesser amount of time to rotate through 1.0 radian of angular displacement? A. turbine A a turbine B They take the same amount of time. The answer cannot be determined from the information given. ; Subrnit Request Answer Part 5 29 As in Part D, two wind turbines with different length blades are rotating. Consider what needs to happen in order to change the angular speed of one of the turbines. If the turbine is to spin more quickly, should the angular acceleration, a be positive or negative?B. a should be positive.C. a should be negative. D. We cannot tell which direction a should be without knowing the direction of the angular velocity,

Answers

If a wind turbine with different length blades needs to spin more quickly, the angular acceleration should be positive. The correct answer is B

Part A: In the given scenario, Turbine A has blades twice as long as Turbine B, and the tips of the blades on Turbine A are moving twice as fast as the tips of the blades on Turbine B. Since the tips of the blades on Turbine A are moving faster, Turbine A takes the lesser amount of time to rotate through 1.0 radian of angular displacement. So, the correct answer is (a) Turbine A.

Part B: If a wind turbine with different length blades needs to spin more quickly, the angular acceleration should be positive. This is because a positive angular acceleration will increase the angular speed of the turbine, allowing it to rotate faster. So, the correct answer is (b) should be positive.

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Complete question:

Two wind turbines are set up with the following conditions: Turbine A has blades that are twice as long as the blades on Turbine B. The tips of the blades on Turbine A are moving twice as fast as the tips of the blades on Turbine B.

Part A. Which turbine takes the lesser amount of time to rotate through 1.0 radian of angular displacement?

a. turbine A

b. They take the same amount of time.

c. turbine B

d. The answer cannot be determined from the information given.

Part B. As in Part A, two wind turbines with different length blades are rotating. Consider what needs to happen in order to change the angular speed of one of the turbines. If the turbine is to spin more quickly, should the angular acceleration, be positive or negative?

a. should be negative

b. should be positive

c. We cannot tell which direction it should be without knowing the direction of the angular velocity

How far did the object travel by the end of eight seconds, according to the graph above?
A) It traveled 4 centimeters.
B) It traveled 8 centimeters.
C) It traveled 12 centimeters.
D) It traveled 20 centimeters.

How far did the object travel by the end of eight seconds, according to the graph above? A) It traveled

Answers

Answer:

The object traveled 4 cm by the end of eight seconds. Correct: A)

Explanation:

Speed vs Time Graph

In a speed-time graph, speed is plotted on the vertical axis and time is plotted on the horizontal axis. If the graph is a horizontal line, the speed is constant, if the line is sloped up, the speed is increasing and the acceleration is positive and constant, and if the line is sloped down, the speed is decreasing and the acceleration is negative and constant.

The distance traveled by the object can be found by calculating the area under the graph and above the x-axis.

The graph provided shows two different zones: the first 4 seconds, the speed is constant at 1 cm/s, and the last 4 seconds, the speed is zero, i.e. the object is not moving.

The area behind the first zone is a rectangle of height 1 cm/s and base 4 sec, thus the distance is 1 * 4 = 4 centimeters.

The second zone corresponds to an object at rest, thus no distance is traveled.

The object traveled 4 cm by the end of eight seconds.

A) Correct. As shown above

B) The distance traveled is 4 cm. Incorrect

C) The distance traveled is 4 cm. Incorrect

D) The distance traveled is 4 cm. Incorrect

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