On the ride "spindletop" at the amusement park six flags over texas, people stood against the inner wall of a hollow vertical cylinder with radius 2.5 m. the cylinder started to rotate, and when it reached a constant rotation rate of 0.60 rev/s, the floor on which people were standing dropped about 0.5 m. the people remained pinned against the wall.

Answers

Answer 1

a) In this case the forces are the centrifugal force Fcp, which is directed horizontally toward the wall; the force of static friction Ff with the wall, directed upward; the normal force Fn by the wall, which is directed away the wall; the force of gravity Fg, directed downwards. Then we have that the horizontal forces are all equal in magnitude; similarly the vertical forces are also all equal in magnitude.

 

b) The minimum coefficient s occurs when force of gravity is equals the max friction force, that is

Fg = Ff,max

m g = s Fn

 

Also, the normal force has equal magnitude to the centrifugal force:

m g = s Fcp

m g = s m w^2 r

g = s w^2 r

s = g / (r w^2)

 

With values: g = 9.81 m/s^2; r = 2.5 m; and w = 2pi * 0.60 = 3.77 rad/s; we find

 

s = 9.81 / (2.5 * 3.77^2) = 0.276

Answer 2

The minimum value of coefficient of static friction for which the person does not slide is [tex]\boxed{0.276}[/tex].

Further Explanation:

As the cylinder start to rotate, the people standing against the wall remain stick to the wall. So if we draw the free body diagram of the person, then we can see the balanced forces acting on person's body.

Given:

The rate of rotation of the cylinder is [tex]0.60\text{ rev}/\text{s}[/tex].

The radius of the cylinder is [tex]2.50\text{ m}[/tex].

Concept:

The friction force between the person’s body and the inner surface is balanced by the gravitational firce acting on the person's body.

[tex]\boxed{f_\text{friction}=f_\tect{gravity}}[/tex]                                                   ...... (1)

The force of friction acting on the person's body is:

[tex]f_\text{friction}=\mu N[/tex]

Here, [tex]N[/tex] is the normal reaction,  [tex]\mu[/tex] is coefficient of static friction.

The gravitational force acting on the person's body is:

[tex]f_\text{gravity}=mg[/tex]

Here, [tex]m[/tex] is mass of the body, and [tex]g[/tex] is the acceleration due to gravity.

Substitute [tex]\mu N[/tex] for [tex]f_\text{friction}[/tex] and [tex]mg[/tex] for [tex]f_\text{gravity}[/tex] in equation (1).

[tex]{\begin{aligned}\mu N&=mg\\\mu&=\dfrac{mg}{N}\end{aligned}[/tex]

The Normal force acting on the person's body is balanced by the centrifugal force acting on the persion due to the rotation of the cylinder.

[tex]\boxed{f_\text{normal}=f_\text{centrifugal}}[/tex]                                                  ...... (2)

The centrifugal force acting on the person's body is:

[tex]f_\text{centrifugal}=m\omega^2r[/tex]

Here, [tex]\omega[/tex] is the angular speed of the cylinder, [tex]r[/tex] is the radius of the cylinder.

Substitute [tex]m\omega^2r[/tex] for [tex]f_\text{centrifugal}[/tex] in equation (2).

[tex]N=m\omega^2r[/tex]

Substitute the value of [tex]N[/tex] in equation of static friction coefficient.

[tex]\begin{aligned}\mu&=\dfrac{mg}{m\omega^2r}\\&=\dfrac{g}{\omega^2r}\end{aligned}[/tex]

The acceleration due to gravity on the surface of Earth is [tex]9.81\text{ m}/\text{s}^2[/tex].

The angular speed of rotation of the cylinder is given as:

[tex]\begin{aligned}\omega&=2\pi\times\text{Revolutions per second}\\&=2\pi\times0.6\\&=3.77\text{ rad}/\text{s}\end{aligned}[/tex]

Substitute the values of [tex]\omega[/tex], [tex]g[/tex] and [tex]r[/tex] in above expression.

[tex]\begin{aligned}\mu&=\dfrac{9.81}{(3.77)^2\times2.5}\\&=\dfrac{9.81}{35.53}\\&=0.276\end{aligned}[/tex]

Thus, the minimum value of coefficient of static friction for which the person does not slide is [tex]\boxed{0.276}[/tex].

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Answer Details:

Grade: Senior school

Subject: Physics

Chapter: Circular motion

Keywords:

Amusement park, ride, spindle top, six flags, texas, vertical cylinder, hollow, 2.5m, 0.60 rev/s, dropped about, minimum static friction coefficient, rotation rate 0.60.

On The Ride "spindletop" At The Amusement Park Six Flags Over Texas, People Stood Against The Inner Wall

Related Questions

what is the definition of physical fitness?

Answers

Physical fitness is a state of health where you are capable of performing sports. This can be achieved with correct nutrition, exercise, and rest.   

Answer: no ailment found in the body

Explanation: a body is said to be physically fit if it dies not deviate from the standard way a body should be that is it should have no sickness not injury

H-2 + H-3 → He-4 +

Consider the nuclear reaction that takes place in the sun. Two nuclides of hydrogen fuse to form helium. Is helium the only product of this reaction? If no, identify any additional products.
A) Yes, He-4 is the only product.
B) No. The products include He-4 and a neutron.
C) No, the products include He-4 and gamma radiation.
D) No. the products include He-4, one neutron, and energy.

Answers

Answer: Option (D) is the correct answer.

Explanation:

The given reaction is a nuclear fusion reaction because in a nuclear fusion two small nuclei combine together to result in the formation of a large nuclei along with the release of energy.

The complete given reaction will be as follows.

     [tex]^{2}_{1}H + ^{3}_{1}H \rightarrow ^{4}_{2}He + ^{1}_{0}n + Energy[/tex]

Thus, we can conclude that along with the release of helium atom there will be release of one neutron and energy.

"recall that the speed of sound in water is 1507 meters/second (4944 feet/second). if a sonar sounding had a total travel time of 5 seconds, what is the water depth?"

Answers

If the sonar total travel time is 5 second, then it must be travel down for 2.5 seconds then travel up for another 2.5 seconds. Then, to find the water depth, you need to multiply the sound speed with the duration. The calculation would be:

1507m/s * 2.5s= 3767.5 meter

If the total dissipated power is to be reduced by 10%, how much should the voltage be reduced to maintain the same leakage current? note: power is defi ned as the product of voltage and current

Answers

Final answer:

To reduce the dissipated power by 10% while maintaining the same leakage current, the voltage needs to be reduced in such a way that the new power dissipation equals 90% of the original power, due to the direct proportionality between power and voltage in the formula P = IV.

Explanation:

The question asks: If the total dissipated power is to be reduced by 10%, how much should the voltage be reduced to maintain the same leakage current? Power dissipation in an electrical circuit is described by the formula P = IV, where P is the power in watts, I is the current in amperes, and V is the voltage in volts.

To find the new voltage required to reduce the power dissipation by 10%, we first have to understand that if the leakage current remains constant, the power reduction is directly proportional to the reduction in voltage. Given the initial power Pm = 1.0 × 10³ W, reducing this power by 10% results in Pnew = 0.9Pm = 0.9 × 1.0 × 10³ W.

Since P = IV and I remains constant, the new power equation after reduction can be written as 0.9Pm = I × Vnew. Substituting the values and assuming the initial current remains unchanged, we solve for Vnew, resulting in a voltage reduction proportionate to the desired 10% power reduction.

Ella has a mass of 56 kg, and Tyrone has a mass of 68 kg. Ella is standing at the top of a skateboard ramp that is 1.5 meters tall. Which conclusion is best supported by the given information?

If Tyrone stands at the top of the same ramp, his potential energy will be less than Ella’s.
If Tyrone stands at the top of a 1 m high ramp, his potential energy will be greater than Ella’s.
If Tyrone stands at the top of the same ramp, his potential energy will be the same as Ella’s.
If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella’s.

Answers

D because if you are heavier and standing higher up then you will have greater potential energy than someone who weighs less and is standing at a  lower height.

THE ANSWER IS D YOUR WELCOME:)

Any individual can become an expert in anything. Please select the best answer from the choices provided. T F

Answers

The answer is FALSE.

Answer:

False.

Explanation:

Any individual cant really become an expert in anything. Induvisuals might just be a normal person, and some be experts, To me about 20% of people can be experts 60% might just be a normal person. Some people have cancer, health problems, and diseases, or sicknesses. and some might not be good at some point at something.

When the ground gets warm, it emits an invisible type of light called infrared light. This light can travel into the atmosphere and heat the air that it encounters.

What type of heat transfer is described above

Answers

Radiation. However it isn't exclusively radiation; the warm ground tends to warm the air next to the ground (conduction) and the warm air rises and mixes with the cool air above (convection) so all three methods of heat transfer are used

Answer:

Radiation

Explanation:

Infrared radiation, that portion of the electromagnetic spectrum that extends from the long wavelength, or red, end of the visible-light range to the microwave range. ... Most of the radiation emitted by a moderately heated surface is infrared; it forms a continuous spectrum.

Which word is described by this riddle poem. (hint: jails and phones)


My first is in cars but isn't in bars
My second's in dance,but not in pants
My third is in lame, my fourth is the same.
What word could i possibly be?

Answers

cell is the answer because cell phone and jail cell that both work

An automobile traveling along a straight road increases its speed from 72 ft/s to 84 ft/s in 180 ft. if the acceleration is constant, how much time elapses while the auto moves the 180 ft? answer in units of s.

Answers

Final answer:

The automobile taking approx. 178.54s (or around 3 minutes) while traveling 180ft is calculated using fundamental kinematic equations to determine constant acceleration and then time.

Explanation:

To solve this, we need to utilise some basic kinematic equations. First, let's find the acceleration using the formula a = (vf - vi)/s where vf = final velocity, vi = initial velocity, and s = displacement distance. Substituting in the provided values: a = (84ft/s - 72ft/s)/180ft = 0.067 ft/s².

Next, we use the equation t = (vf - vi) / a where t = time, vf = final velocity, vi = initial velocity, and a = acceleration. Substituting in the relevant values, we get t = (84ft/s - 72ft/s) / 0.067ft/s² ≈ 178.54s or approximately 3 minutes.

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A power station delivers 510 kw of power at 12,000 v to a factory through wires of total resistance of 2.5 ω. how much less power is wasted if the electricity is delivered at 47,000 v rather than 12,000 v?

Answers

The currents (Amperes) in the two cases are calculated as power/voltage: 

510000W / 12000V = 42.5 A 
510000W / 47000V = 10.85 A 

And that the power wasted in the two cases is calculated as current^2 x resistance:

(42.5 A)^2 (2.5 Ohms) = 4,515.625 W 
(10.85 A)^2 (2.5 Ohms) = 294.30625 W 

So the amount of power saved is the difference:
4,515.625 - 294.30625  = 4221.32 Watts

This is the main reason why distribution grids aim to operate at the highest voltages possible.

Imagine riding On a merry-go-round at the center. As you walk to the outer edge, the merry-go-round slows in order to conserve angular momentum. True or false?

Answers

Answer: True

Explanation:
When riding at the center, the angular momentum is
Iω²
where I = rotational inertia
ω = angular velocity.

When you move away from the center to a radius r, you add to the rotational inertia by mr², where m is your mass.
The new rotational inertia becomes I + mr².

If the new angular velocity is ω₁. then 
(I + mr²)ω₁² = Iω²
Therefore
ω₁² = Iω²/(I + mr²)

Therefore ω₁ < ω in order to conserve angular momentum.

Calculate the pressure of an enclosed fluid on which a force of 150 N is exerted over an area of 10 cm2. give the answer in pascals.

Answers

The pressure of the enclosed fluid is 150000Pa

The pressure of an enclosed fluid on which force is applied is 150 N over an area of 10 cm² will be 1500 N/m² or 1500 Pa.

What is Pressure?

In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a particular location within a confined fluid The force divided by the area over which it is exerted, or one-half pound per square inch, determines the pressure that a 42-pound box with an 84-square-inch bottom will impose on a surface.

Atmospheric pressure, which at sea level is roughly 15 pounds per square inch, is the amount of weight that the atmosphere exerts on each unit area of the Earth's surface. One pascal equals one newton per square meter when expressed in SI units, which is how pressure is calculated.

According to the question :

Pressure, P = F / A

P = 150 N

A = 10 cm² or

A = 0.1 m²

P = 150 / 0.1

P = 1500 Pa.

Hence, the Pressure on the enclosed fluid is 1500 Pa.

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If you drop a silver dollar off a building and it hits the ground in 10 seconds, how fast was the coin going just before?

Answers

v = u + at 
= 0 + (9.81)(10) 
= 98.1m/s 

Ignoring air resistance.

A _____________ can be considered as an ultrathin beam of light that travels in a straight line until it meets a reflecting or refracting surface.

Answers

I believe the correct  answer is light ray.
According to its definition, a light ray is 'a line that is perpendicular to the light's wavefronts; its tangent is collinear with the wave vector.' When this ray meets a reflecting or refracting surface, it no longer travels in a straight line but rather changes its course.
Final answer:

A ray is an ultrathin beam of light that travels in a straight line until it meets a reflecting or refracting surface. Geometric optics is the branch of physics that models the path of light as straight lines called rays.

Explanation:

A ray can be considered as an ultrathin beam of light that travels in a straight line until it meets a reflecting or refracting surface. In physics, the path of light is often modeled as straight lines called rays in the field of geometric optics. When light encounters objects several times larger than its wavelength, it behaves like a ray with subtle wave characteristics.

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One part of a freely swinging magnet always points
a. east.
b. to Earth’s geographic north pole.
c. toward Earth’s core.
d. to Earth’s magnetic pole in the Northern Hemisphere.

Answers

One part of a freely swinging magnet always points to the Earth's magnetic pole in the Northern Hemisphere.

Answer: The correct answer is (d).

Explanation:

Magnet has two poles: South pole and North pole. The same poles of the magnets repel each other. The opposite poles of the magnets attract each other.

In the absence of other magnet, a freely swinging magnet points in North-South direction. The earth has a magnetic field. The magnetic field of the bar magnet is same as the magnetic field of the earth's magnet.

The position of  the earth's magnetic poles are not fixed. The south pole of the earth's magnet lies in the geographic north as it attracts the north pole of the freely swinging magnet.

If one part of a freely suspended magnet always points to Earth's magnetic pole in the Northern Hemisphere.

A bullet of inertia m traveling at speed v is fired into a wooden block that has inertia 4m and rests on a level surface. The bullet passes through the block and emerges with speed v/3, taking a negligible amount of the wood with it. The block moves to the right but comes to rest after traveling a distance d. What is the magnitude of the frictional force between the block and the surface while the block is moving?

Answers

The magnitude of the frictional force between the block and the surface while the block is moving is 9m.

The magnitude of the frictional force between the block and the surface while the block is moving can be determined using the principle of conservation of momentum.

When the bullet passes through the block, the total momentum of the system is conserved. The initial momentum of the bullet is mv and the initial momentum of the block is 0.

After the collision, the final momentum of the bullet is (1/3)mv and the final momentum of the block is (4m)(v/3). Setting the initial and final momenta equal, we can solve for the magnitude of the frictional force.

Initial momentum of the system = Final momentum of the system

mv + 0 = (1/3)mv + (4m)(v/3)

Simplifying the equation, we get:

mv = 2mv/9

Cancelling out the m and solving for v, we get:

v = 9m

Therefore, the magnitude of the frictional force between the block and the surface while the block is moving is 9m.

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Classify each of these soluble solutes as a strong electrolyte, a weak electrolyte, or a nonelectrolyte. drag each item to the appropriate bin.

Answers

Three of these are strong electrolytes: 
- HCl (Hydrochloric acid) 
- HNO3 (Nitric acid) 
- NaOH (Sodium hydroxide) 

Two of these are Weak electrolytes: 
- HF (Hydrogen fluoride) 
- HC2H3O2 (Acetic acid) 

And the other two are Non-electrolytes: 
- C6H12O6 (Glucose) 
- C2H5OH (Ethanol) 
Strong electrolytes: HCl, NaOH, HNO₃ Weak electrolytes: HF, HC₂H₃O₂ Nonelectrolytes: C₂H₅OH, C₆H₁₂O₆ Further explanation Electrolyte solutions are substances that produce ions when dissolved in water and can conduct electricity. A strong electrolyte is a solution that has the strongest electrical conductivity because the solute is completely ionized when dissolved in water. A weak electrolyte is a solution with low electrical conductivity and partially ionized. Nonelectrolytes are solutions that cannot conduct electric current because the solute cannot produce ions.

One of the most significant properties of water is its ability to dissolve a wide variety of substances. Solutions in which water is properly the dissolving medium are called aqueous solutions. For electrolytes, water comes by the most primary solvent.  

HCl = hydrochloric acid, a strong acid. HNO₃ = nitric acid, a strong acid .NaOH = sodium hydroxide, a strong base .HF = hydrofluoric acid, a weak acid .HC₂H₃O₂ or CH₃COOH = acetic acid, a weak acid .C₂H₅OH = ethanol, a nonelectrolyte .C₆H₁₂O₆ = glucose, a nonelectrolyte .

Notes:

Some acids ionize completely in water, some partially. Thus acids are not all of equal strength in terms of the production of H⁺ ions in solution. If an acid ionizes completely, it is strong acid. If we pass hydrogen chloride gas through water, almost all the molecules ionize to give H⁺ and Cl⁻ ions. Hence, HCl is a strong acid.  If an acid ionizes partially, on the other hand, it is a weak acid. In the ionization of weak acids, some of the ions recombine and remain as molecules. HF is a weak acid. If we pass hydrogen fluoride gas through water, some of it will ionize to give H⁺ and F⁻. Most of the dissolved hydrogen fluoride will remain as HF molecules in water. Bases that completely ionize in water are called strong bases. The bases of alkali metals and some alkaline earth metals are strong, e.g., NaOH, KOH, and Ba(OH)₂. They conduct electricity well in an aqueous solution. Bases that dissociate in water slightly are weak bases, e.g., Mg(OH)₂ and NH₃. Water solutions of weak bases are poor conductors of electricity. Learn more About the solution as a homogeneous mixture  https://brainly.com/question/637791 Calculating the pH value of weak base https://brainly.com/question/9040743 Flammability as one of the chemical properties https://brainly.com/question/1767022

Keywords: classify, each of these soluble solutes, as a strong electrolyte, a weak, a nonelectrolyte. drag each item to the appropriate bin, acids, bases, dissolve, ionize, conduct electricity, water

Which of the following most likely happens when the temperature of a chemical reaction is increased?
Molecules speed up?
Molecules stop reacting?
Reaction rate decreases?
Chemical reaction stops?

Answers

Molecules Speed Up because the other three options only occur when the temperature is decreased.

A molecules speed up because the temp is rising there for the molecules speed up

hope this helped =^-^=

the density of maple wood is about 755.kg/m. What is the mass of a solid piece of maple that has a volume 640.cm?

Answers

I believe that the correct given values are:

density = 755 kg/m^3

volume = 640 cm^3

 

First let us convert volume to m^3 units.

volume = 640 cm^3 * (1 m / 100 cm)^3 = 6.4 x 10^-4 m^3

 

so the mass is:

mass = 755 kg/m^3 * (6.4 x 10^-4 m^3)

mass = 0.4832 kg = 483.2 g

Final answer:

The mass of the piece of maple wood is calculated to be approximately 0.4832 kg by rearranging the formula for density (D = M/V) to solve for mass (M = D*V), and then substituting in the provided density and volume values.

Explanation:

The student is asked to find the mass of a piece of maple wood, given its volume and density. We use the formula for density which is D = M/V, where D is the density, M is the mass, and V is the volume. To find the mass, we rearrange the formula to M = D*V. Given that the density of maple wood is about 755 kg/m³ and the volume is 640 cm³ (which is equivalent to 0.00064 m³), we calculate the mass as follows: M = 755 kg/m³ * 0.00064 m³ = 0.4832 kg.

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Calculate the acceleration if you push with a 20-N horizontal force against a 2-kg block on a horizontal friction- free air table

Answers

10 meters per second. The formula is F = ma, so to solve we substitute 20 for F, 2 for m and then solve for a. 20 divided by 2 - 10, therefore the acceleration is 10 meters per second.

What was a key feature of the roman confederation?

Answers

The key feature of the Roman Confederation is giving status to the people living in their territory. It gave people rights and social roles in their society. It guides them on how and what they should do. It also gave people sovereignty by allowing to vote, participate in government duties as well as gave them rights.

The velocity of a spinning gyroscope drops from 12 rad/s to 6 rad/s due to deceleration of -1.2 rad/s^2. how much time expires during this process? how many radians does the top spin during the process?

Answers

5 seconds expired during the deceleration. Top rotated 45 radians during these 5 seconds. First, calculate the chance in velocity, by subtracting the initial velocity from the final velocity. So 6 rad/s - 12 rad/s = -6 rad/s So we lost a total of 6 rad/s. Divide that by the deceleration to give the number of seconds. So -6 rad/s / -1.2 rad/s^2 = 5 s So it takes 5 seconds for the deceleration to happen. The equation that expresses the number of radians performed under constant deceleration with an initial velocity is d = VT + 0.5 AT^2 where d = distance V = initial velocity T = time A = acceleration Substituting the known values gives. d = VT + 0.5 AT^2 d = 12 rad/s * 5s + 0.5 * -1.2 rad/s^2 (5s)^2 d = 60 rad -0.6 rad/s^2 *25s^2 d = 60 rad -15 rad d = 45 rad So the top rotated 45 radians while decelerating from 12 rad/s to 6 rad/s

A wire with a resistance of 5.3 ω is drawn out through a die so that its new length is 4 times its original length. find the resistance of the longer wire, assuming that the resistivity and density of the material are unchanged.

Answers

The resistance of a wire is defined as
R = (ρL)/A
where
ρ = resistivity
L = length
A =  cross-sectional area

Before the wire is drawn, let 
L₁ = the length
A₁ =  the cross-sectional area.

The volume of the wire and its resistivity remain unchanged after it is drawn.
After it is drawn, the new length is
L₂ = 4L₁
To preserve the volume, the new cross-sectional area is
A₂ = (L₁A₁)/L₂ = (L₁A₁)/(4L₁) = A₁/4

The initial resistance is given as
R₁ = (ρL₁)/A₁ = 5.3 Ω

The final resistance is
[tex]R_{2}= \frac{\rho L_{2}}{A_{2}} = \frac{\rho (4L_{1})}{A_{1}/4} = 16 (\frac{\rho L_{1}}{A_{1}}) = 16*5.3 \, \Omega = 84.8 \, \Omega[/tex]

Answer: 84.8 Ω

Since resistance is based on cross-sectional area, the new wire would be thinner and its resistance will go up. Neglecting any change to the atomic structure of the wire, and a constant volume over the stretching, the cross section would be reduced by 4 times and its resistance would go up 4 times to 21.2 Ohms

Calculate the magnitude of the force on the child causing the centripetal acceleration if the ride is midway up the circle (on his way up). express your answer in terms of mg.

Answers

Final answer:

The force on the child midway up is equivalent to half the child's weight, which is expressed as F = m*g/2, where m is the mass of the child and g is the acceleration due to gravity.

Explanation:

To calculate the magnitude of a force on a child midway up a ride in terms of mg (Gravitational force), we first must acknowledge that this is a situation involving rotational mechanics and centripetal forces. We shall employ the concept of moment of inertia, that acts equivalent to mass in linear motion for cases of rotational motion.

The child can be considered as a point mass, with a moment of inertia Ic = mR². For the given values in the text, the moment of inertia Ic of the child would be (18.0 kg)(1.25 m)² = 28.13 kg · m². This value would assist us in calculating the force in the upcoming steps.

Due to the ride's circular motion, the child experiences a centripetal acceleration. Set this centripetal acceleration equal to the acceleration due to gravity: 9.8 m/s². Since we are midway up the circle, the total acceleration would be divided by two:

a_c = g/2 = 4.9 m/s².

The force causing this centripetal acceleration, in terms of mg, can be acquired by using Newton's second law, F = ma. Thus:

F = m*a_c = m*g/2 = mg/2.

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You are interested in space travel and want to learn more facts about space travel. Which would be the best source of information

Answers

The internet is an indispensible resource of facts. Wikipedia is a great start researching types of spacecraft (shuttles, space stations). You can also look at NASA's website or the SpaceX website for leading edge news. Youtube also has several space related channels if you'd like to watch videos related to the subject.

(DUE IN 1 HOUR) A rocket of mass m is launched straight up with thrust F⃗ thrust.
a. Find an expression for the rocket's speed at height h if air resistance is neglected. Express your answer in terms of the variables Fthrust, m, h, and appropriate constants.
b. The motor of a 340 g model rocket generates 10 N thrust. If air resistance can be neglected, what will be the rocket's speed as it reaches a height of 86 m ?

Answers

From the statement, since rocket was launched so this means that it start from zero, hence initial velocity is zero. 
Since the rocket was launched vertically straight up, the force acting on this motion is gravity.

 
A. The acceleration of the motion is then given by:

a= F/m - g 

Then we can use the general equation:

V^2 = Vo^2 + 2*a*h

where V is final velocity, Vo is initial velocity, a is acceleration, h is height 

Since we know that Vo = 0, so 

V^2 = 2*a*h 

V^2 = 2 (F/m – g) h
V = sqrt [2 h (F/m – g)]

 

 

B. Given that:

h = 86 m

F = 10 N

m = 340 g = 0.34 kg

Find for V:

 

V = sqrt [2 * 86 (10 / 0.34 – 9.8)]

V = 58.08 m/s

Final answer:

To find the rocket's speed at height h, use Newton's second law of motion and kinematic equations. The rocket's speed can be expressed as v = sqrt(2gh - 2Fthrusth/m). For the given values, the rocket's speed is 136.36 m/s.

Explanation:

a. To find the rocket's speed at height h, we can apply the principles of Newton's second law of motion. Since air resistance is neglected, the only force acting on the rocket is the thrust force. The thrust force can be written as Fthrust = ma, where m is the mass of the rocket and a is the acceleration. The acceleration is given by a = g - g'' where g is the acceleration due to gravity and g'' is the acceleration due to the thrust force. Since g'' is directed opposite to the gravitational acceleration, we subtract it. On rearranging the equation, we get g'' = g -a. Substituting this into the equation Fthrust = ma, we obtain Fthrust = m(g - a). Solving for a, we get a = g - Fthrust/m. At height h, the rocket's speed can be found using the kinematic equation v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement. Since the initial velocity is 0, we have v² = 2as. Substituting the expression for acceleration, we get v² = 2gh - 2Fthrusth/m. Taking the square root of both sides, we have v = sqrt(2gh - 2Fthrusth/m).

b. Substituting the given values Fthrust = 10 N, m = 0.34 kg, h = 86 m, and g = 9.8 m/s² into the expression v = sqrt(2gh - 2Fthrusth/m), we can calculate the rocket's speed as it reaches a height of 86 m. Plugging in the values, we get v = sqrt(2 * 9.8 * 86 - 2 * 10 * 86 / 0.34) = 136.36 m/s.

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If the pulley was not set so that the string was parallel to the track, what effect would this have on the acceleration of the system? what effect would this have on the normal force from the track? would this be a random or systematic error? explain your reasoning.

Answers

the string would affect it .......

Final answer:

If the pulley is not set parallel to the track, it will introduce a perpendicular component of the tension force, resulting in a reduction in the acceleration of the system. The normal force from the track will also increase, opposing the motion. This would be a systematic error as it stems from a consistent deviation from the correct setup.

Explanation:

If the pulley is not set so that the string is parallel to the track, it will introduce a component of the tension force that is perpendicular to the track. This perpendicular component will result in a normal force from the track which will oppose the motion of the system. Consequently, the acceleration of the system will be reduced. This effect can be understood by breaking down the tension force into components parallel and perpendicular to the track.

When the string is not parallel to the track, let's say at an angle theta, the tension force can be resolved into two components:

1. A component parallel to the track (T_parallel = T * cos(theta))

2. A component perpendicular to the track (T_perpendicular = T * sin(theta))

The parallel component (T_parallel) is responsible for providing the force that accelerates the system. The tension force is equal to the product of mass and acceleration (T_parallel = m * a). Therefore, any decrease in the parallel component of the tension force will result in a decrease in acceleration.

The perpendicular component (T_perpendicular) introduces a force perpendicular to the track, which is counterbalanced by the normal force from the track. As the angle theta increases, the normal force increases, opposing the motion and reducing the acceleration of the system.

This would be a systematic error because it is a consistent deviation from the correct setup. Systematic errors occur due to flaws in the experimental setup or technique. In this case, the error arises from the misalignment of the pulley and the track.

A particle travels 15 times around a 10-cm radius circle in 42 seconds. what is the average speed (in m/s) of the particle?

Answers

Final answer:

The average speed of the particle that travels 15 times around a 10 cm radius circle in 42 seconds is 0.224 m/s.

Explanation:

To calculate the average speed of a particle, we use the formula: Speed = Distance ÷ Time. In this case, the distance travelled is the circumference of the circle (2πr) multiplied by the number of times the particle goes around the circle. Given that the particle travels 15 times around a 10 cm radius circle, the total distance is 2π*0.1m*15 = 9.42m. Since the time taken is 42 seconds, the average speed of the particle is then 9.42m ÷ 42s = 0.224 m/s.

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Final answer:

The particle's average speed is calculated by dividing the total distance travelled (15 times around the circle) by the total time taken (42 seconds). The speed is approximately 0.224 m/s.

Explanation:

The subject of your question is physics, specifically dealing with the concept of speed in circular motion. To solve this, we need to understand that the particle is traveling in a circular path with a known radius 15 times in a given time of 42 seconds. Therefore, the total distance travelled by the particle can be calculated using the formula for the circumference of a circle, which is 2πr (where r is the radius), multiplied by the number of circles made.

First, we need to convert the radius from cm to meters because the standard unit of measurement for speed is m/s. So, 10cm = 0.10m. Now, calculating the total distance travelled: 15 circles * 2 * π * 0.10m = 9.42m.

The speed of any object is defined as the ratio of the distance travelled to the time taken. So, the average speed of the particle will be calculated as (total distance / total time). Accordingly, the speed of particle would be 9.42m / 42s = 0.224m/s.

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Which device converts electrical energy into kinetic energy?

an electric generator
an electric motor
a step-down transformer
a step-up transformer

Answers

Answer;

Electric motor

Explanation;Energy is the ability to do work. According to the law of conservation of energy, energy can not be created nor destroyed but can be changed from one form to another.Changing energy from one form to another is done by devices we call transducers. These are elements that convert energy from one form to another.In this case, electrical motor is an example of a transducer that converts electrical energy to kinetic energy. Electrical energy is supplied to a the motor which converts it to rotational energy or mechanical energy then to kinetic energy.

Answer:

A). Electric generator

Explanation:

Lori’s family is on a road trip. They split their drive into the five legs listed in the table. Find the average velocity for each leg of the trip. Then arrange the legs of the trip from lowest velocity to highest.

Answers

Average velocity is displacement  divided by time elapsed; Δv/Δt

You will need to use the information in the table you are given. Subtract: (final velocity - initial velocity) and divide by (final time - initial time).

Answer:

Explanation:

Drag each tile to the correct box.

Lori’s family is on a road trip. They split their drive into the five legs listed in the table. Find the average velocity for each leg of the trip. Then arrange the legs of the trip from lowest velocity to highest.

Leg Distance (km) Time (min)

A 15 10

B 20 15

C 24 12

D 36 9

E 14 14

leg A

leg B

leg C

leg D

leg E

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