A block is dropped from rest. It takes a time t, to fall the first third of the distance. How long does it take to fall the entire distance? a) √3t₁ b) 3t₁ c) 9t₁ d) None of the above to = 0 ti t₂ TITI Vo = 0 S₂ = X S₁ = x/3 ​

Answers

Answer 1

The time it will take the block to fall the entire distance is (a) √3t₁.

How to determine time in motion?

Use the equations of motion to solve this problem. The equation to use is:

S = (1/2)gt²

where S = distance, g = acceleration due to gravity, and t = time.

First find the time it takes to fall the first third of the distance. The distance fallen is S₁ = x/3, so:

x/3 = (1/2)gt₁²

Solving for t₁:

t₁ = √((2x)/(3g))

Now, find the time it takes to fall the entire distance. The total distance is S₂ = x, so:

x = (1/2)gt₂²

Solving for t₂:

t₂ = √((2x)/g)

Substituting x with 3S₁:

t₂ = √((6S₁)/g)

Substituting t₁:

t₂ = √((4x)/(3g)) = √(4/3)t₁

Therefore, the answer is (a) √3t₁.

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Related Questions

b) A rocket initially moving at v0=3.5 km/s in space fires its engines. The initial mass of rocket is m0=200,000 kg and the final mass of the rocket is m=20,000 kg. If the exhaust velocity is ve=5.2 km/s, calculate the final speed in km/s.

Answers

The final speed of the rocket is -11.8 km/s.

What is the final speed of the rocket?

The final speed of the rocket is calculated by applying the principle of conservation of linear momentum.

m0v0 = mv + (m0 - m)ve

where;

m0 is initial massv0 is the initial speedve is exhaust velocity

The final speed of the rocket is calculated as;

200,000 kg  x 3.5 km/s = 20,000 kg x v + (200,000 kg - 20,000 kg) x 5.2 km/s

700,000 = 20,000v + 936,000

v = -236,000/20,000

v = -11.8 km/s

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which of the following best describe the weather conditions at location B

Answers

The  best description on  the weather conditions at location  A and B is  :It is warmer at position A than at position B.

Therefore Option (D) is correct

What is meant by weather conditions?

Weather condition is  described as  the regional weather during a defined time period from one up to several weeks describing typical weather phenomena, such as a series of thunderstorm in hot summer, foggy month in autumn or other weather conditions which are typical for a specific region and/or season.

From the given image, a warm front is being shown. Here, the region comprising letter A is the warm zone and the region above the front comprising the letter B indicates a cold zone. The position A forms a low-pressure zone, so it is comparatively warmer than the position B.

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#complete question:

Which of the following statements best describes the weather conditions at positions A and B shown below?

A. It is raining at position A and clear at position B.

B. It is cloudy at position A and clear at position B.

C. It is cooler at position A than at position B.

D. It is warmer at position A than at position B.

what happens according to newton if you let an untide ballon go?

Answers

Air will rush out of the balloon forcing the balloon to move through the air in the opposite direction, but equal in force.
According to Newtons 3rd law, air will rush out which forces the balloon to move through the air in opposite directions, but with the same amount of force.

state the energy transfer that takes place as the ball changes shape during the contact between the racquet and the ball

Answers

When the ball hits the racquet, it gets squished, and it gains elastic energy, since it is compressed.

Some people think that we should try to live outside of the Earth (on the Moon, or even on Mars, for example). Write your ideas about this. Will this be possible some day soon? When will this happen? How are we going to live there? What will be different up there?

Answers

Living outside the Earth, on the Moon or Mars, is a future possibility with continued research.

Living outside of the earth

The idea of living outside of Earth has been a subject of interest for many years. While it may seem like a daunting task, it is definitely possible. Advancements in technology have made it easier to explore space and even establish human settlements on other planets.

Living on the Moon or Mars would require creating sustainable ecosystems that provide food, water, and oxygen for the settlers. It would also require building living quarters that can withstand the harsh environmental conditions on these planets.

However, we are still a long way from achieving this goal, and it will likely take several decades or even centuries before we can establish a permanent human presence on another planet.

Nonetheless, with continued research and development, we may one day be able to call another planet our home.

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Which word best completes the analogy?

Health-related fitness is to health as skill-related fitness is to _____.
A.
exercise
B.
wellness
C.
performance
D.
fitness

Answers

The word that best completes the analogy Health-related fitness is to health as skill-related fitness is to is option C which is performance.

Performance explained.

In health and fitness, performance refers to an individual's ability to carry out physical activities or exercises with efficiency and effectiveness, which are key components of skill-related fitness. Good performance in health and fitness can be measured by various parameters, such as strength, endurance, flexibility, balance, coordination, and speed. For example, a good performance in running can be measured by the ability to run a certain distance in a shorter time or maintaining a specific pace for a longer time. Similarly, a good performance in weightlifting can be measured by the ability to lift a certain weight with proper form and technique.

In general, good performance in health and fitness is associated with better overall physical health, reduced risk of chronic diseases, and improved quality of life.

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A thin beam of light falls on mirror 1 as shown in the diagram below. four P.Q.Rands are placed in front of mirror 1 and mirror 2. Mirror 2 J|||||| RE Nanda wants to find out on which tikely box in the diagram in the beam to fall after reflecting off mirrov 1 and mirrov 2 List the steps that he should Follow in the correct order.​

Answers

The steps assume that the mirrors and boxes are arranged in a simple, two-dimensional configuration.

The steps to be followed

The steps to be followed are;

Determine the angle of incidence of the beam of light on mirror 1. This can be done by drawing a line perpendicular to the mirror at the point where the beam of light hits the mirror and measuring the angle between this line and the incident beam of light.

Use the law of reflection to determine the angle of reflection of the beam of light from mirror 1. This angle will be equal to the angle of incidence.

Use the properties of parallel lines and angles to determine the angle of incidence of the beam of light on mirror 2. This can be done by noting that mirror 2 is parallel to mirror 1 and that the angle of incidence of the beam of light on mirror 2 will be equal to the angle of reflection of the beam of light from mirror 1.

Use the law of reflection again to determine the angle of reflection of the beam of light from mirror 2. This angle will be equal to the angle of incidence of the beam of light on the likely box.

Use the properties of parallel lines and angles again to determine the angle of incidence of the beam of light on each of the boxes in the diagram. The box that has an angle of incidence equal to the angle of reflection of the beam of light from mirror 2 is the likely box where the beam of light will fall.

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What is the difference between analog signal and digital signal. Explained in essay form.

Answers

A continuous signal that changes in frequency and amplitude over time is referred to as an analogue signal. A digital signal one can only take on a small number of values and is commonly represented by 0s and 1s.

Being able to take on any value within a continuous range of values makes it the perfect choice for simulating physical phenomena like temperature, sound, and light. Analogue signals include things like radio waves, vinyl records, and conventional telephone networks. Modern communication and computing systems use digital signals instead of analogue ones because they can be transferred and processed more effectively and are less prone to noise. Computer networks and digital cameras are few examples of digital signals.

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In a parallel circuit, the current amplitude is the same through the inductor branch, the capacitor branch, and the resisitor branch. For this circuit, L =
20.0 mH and C = 10.0 mF.
a. What is the source angular frequency?
b. What is the resistance of the resistor?

Answers

part a.

The source angular frequency is 2.23 rad/s.

part b.

The resistance of the resistor is 4.46 Ω.

How do we calculate?

The source angular frequency is given as:

ω = 1/√(LC)

where = is the inductance,

C =  capacitance,

ω= angular frequency.

Substituting the  values, we have:

ω = 1/√(20.0 mH x 10.0 mF) = 1/√(0.2) = 1/0.447 = 2.23 rad/s

part b.

We use the impedance in a parallel RLC circuit:

Z = R/(1 - ω^2LC)

impedance of the inductor branch is given as:

Z = jωL

impedance of the capacitor branch :

Z = -j/(ωC)

impedance of the resistor branch :

Z = R

We set all the impedances together at:

jωL = -j/(ωC) = R

We now solve for

R = ωL/ωC

R = = (2.23 rad/s)(20.0 mH)/(10.0 mF)(2.23 rad/s)

R = 4.46 Ω

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A proton, moving with a velocity of viî, collides elastically with another proton that is initially at rest. If the speed of the initially moving proton is 1.90 times the speed of the initially at rest proton, find the following.
(a) the speed of each proton after the collision in terms of vi
(b) the direction of the velocity vectors after the collision

Answers

Answer:

We can approach this problem using the conservation of momentum and the conservation of kinetic energy.

Conservation of momentum:

The momentum before the collision is given by:

p1 = m1v1 = m1viî

where m1 is the mass of each proton (which we assume to be the same) and v1 is the velocity of the initially moving proton.

The momentum after the collision is given by:

p2 = m1v1' + m1v2'

where v1' and v2' are the velocities of the two protons after the collision.

Since the collision is elastic, the total momentum is conserved:

p1 = p2

m1viî = m1v1' + m1v2'

We can simplify this equation by dividing both sides by m1:

viî = v1' + v2'

Conservation of kinetic energy:

The kinetic energy before the collision is given by:

K1 = (1/2)m1 We need the value of the velocity v1, which is not given in the problem statement.

Please answer the correct question and I will give you 50 points
1) Consider a ring, sphere and solid cyclinder all with the same mass. They are all held at the top of an inclined plane which is at 20° to the horizontal. The top of the inclined plane is 1 m high. The shapes are released simultaneously and allowed to roll down the inclined plane. Assume the objects roll without slipping and that they are all made from the same material. Assume the coefficient of static friction between the objects and plane to be 0.3.
A ) calculate the tangential (linear) Velocity of each shapes-
B) determine the linear acceleration(a)
C) which shapes have the greater moment of inertia ?
D) How long will it take each shape to reach the bottom of the Slope ?

E) workout what order they would get to the bottom of the Slope.


Answers

A) The tangential (linear) velocity of each shape is:

For the ring: v = rω = 2.41 m/s.

For the sphere: v = rω = 1.57 m/s.

For the solid cylinder: v = rω = 2.41 m/s.

B) The linear acceleration of each shape is:

For the ring: α = 2gsinθ/(3r(1 + 0.3) + 2R) = 1.191 m/s^2.

For the sphere: α = 2gsinθ/(5r(1 + 0.3)) = 1.176 m/s^2.

For the solid cylinder: α = 2gsinθ/(3r(1 + 0.3) + 2R) = 1.228 m/s^2.

C) The solid cylinder has the greatest moment of inertia.

D) The time taken for each shape to reach the bottom of the slope is:

For the ring: t = 0.576 s.

For the sphere: t = 0.197 s.

For the solid cylinder: t = 0.576 s.

E) The sphere will reach the bottom of the slope first, followed by the ring and the solid cylinder.

1. Choose one from the following countries:
o United States
o United Kingdom
o Australia
o Nepal
o Russia
o Spain
o India
2. Then make research of some laws supporting sexuality and gender in your
chosen country.

Answers

uk

because they have a Sexuality law

dx=7.14 m and dy=-7.55 m find the direction

Answers

Explanation:

arctan ( -7.55/7.14) =  - 46.6 degrees     ( or  313.4 degrees)

Which of the following statements regarding VDGS
Systems are true? (Select ALL that are true.)
You can guess what type of aircraft is being parked.
If the system stops the aircraft, you can just manually continue to park it.
You do not need to investigate the reason for the stop.
Anyone can give the "Stop" signal if a threat to the safety of the aircraft is
observed.
You must power on and check the system before arrival.
A qualified agent must man the Emergency stop.

Answers

The true statements regarding VDGS Systems are you must power on and check the system before arrival and a qualified agent must man the Emergency stop.

What is VDGS?

VDGS stands for Visual Docking Guidance System. It is a technology used in airports to assist pilots in parking their aircraft at the gate by providing visual cues and guidance through the use of lights and/or displays.

The following statements regarding VDGS Systems are true:

You must power on and check the system before arrival.A qualified agent must man the Emergency stop.

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Before taking a personality test, Jackie sets her mind on growth. How might this affect her understanding of the test?

Choose two anSwers-
1.She will score high in the areas she chooses to.
2.She will respond based on what's best in her desired career path.
3. She will think of the results as an opportunity to find joy.
4. She will identify areas for self- development in her results. ​

Answers

Answer:

The two answers that are likely to be true are:

She will think of the results as an opportunity to find joy.

She will identify areas for self-development in her results.

By setting her mind on growth, Jackie is likely to approach the personality test with a positive and open mindset. This can lead to the following outcomes:

She will think of the results as an opportunity to find joy: Jackie may view the test results as a chance to discover aspects of her personality that bring her joy and satisfaction. She might focus on finding strengths and positive qualities that can contribute to her personal and professional growth.

She will identify areas for self-development in her results: Rather than viewing the test results as fixed labels or limitations, Jackie is likely to see them as valuable feedback for self-improvement. She may actively seek out areas where she can further develop her skills, knowledge, and personality traits to enhance her personal and career growth.

It's important to note that the other options listed in the question (1. She will score high in the areas she chooses to and 2. She will respond based on what's best in her desired career path) are not directly related to having a growth mindset. They suggest a more biased or strategic approach to the test, which may not align with the concept of growth and self-improvement.

what is the unit of time not based on a heavenly body

Answers

A week. Hope this is helpful!

A is a sphere that is traveling with velocity of (3,7)m/s and had a mass of 5 kg .it collide with sphere B and both particle move together with velocity of (1,4)m/s after the collision. Sphere B has a mass of 4 kg . Find the velocity of B before the collision

Answers

The velocity of sphere B is -1.475 m/s. Which is in opposite direction to the direction of sphere A.

What is velocity?

Velocity is the rate of change of displacement.

To calculate the velocity of sphere B before collision, we use the formula below

Formula:

u = [V(M+m)-Mu']/m................... Equation 1

Where:

u = Velocity of sphere B before collisionV = Velocity of both particles after collisionM = Mass of sphere Am = Mass of sphereu' = Velocity of sphere B before collision

From the question,

Given:

V = 1.4 m/sM = 5 kgm = 4 kgu' = 3.7 m/s

Substitute these values into equation 1

u = [1.4(5+4)-(5×3.7)]/4u = (12.6-18.5)/4u = -5.9/4u = -1.475

Hence, the velocity of sphere B is -1.475 m/s.

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Suppose 10.0 g of ice at -10.0C is placed into 300.0 g of water in a 200.0-g copper calorimeter. The final temperature of the water and copper calorimeter is 18.0C.

1) What was the initial common temperature of the water and copper? (Express your answer to three significant figures.)

Answers

The initial common temperature of the water and copper is approximately 2.68°C.

To find the hidden typical temperature of the water and copper, we need to use the norm of protection of energy, which communicates that energy can't be made or obliterated, recently moved or changed beginning with one design then onto the following.

The force lost by the ice as it breaks up is identical to the power obtained by the water and the calorimeter. We can impart this using the recipe:

Q_ice = Q_water + Q_calorimeter

where Q_ice is the force lost by the ice, Q_water is the power procured by the water, and Q_calorimeter is the force gained by the calorimeter.

We can determine the power lost by the ice using the recipe:

Q_ice = m_ice * L_f

where m_ice is the mass of the ice and L_f is the force of blend of water, which is 333 J/g.

Q_ice = (10.0 g) * (333 J/g) = 3330 J

We can sort out the force obtained by the water using the condition:

Q_water = m_water * c * (T_f - T_i)

where m_water is the mass of the water, c is the specific power breaking point of water, which is 4.184 J/g°C, T_f is the last temperature of the water and calorimeter, and T_i is the hidden ordinary temperature of the water and calorimeter.

Q_water = (300.0 g) * (4.184 J/g°C) * (18.0°C - T_i)

We can figure the force obtained by the calorimeter using the recipe:

Q_calorimeter = m_calorimeter * c_calorimeter * (T_f - T_i)

where m_calorimeter is the mass of the calorimeter, which is 200.0 g, c_calorimeter is the specific force breaking point of copper, which is 0.385 J/g°C, T_f is the last temperature of the water and calorimeter, and T_i is the hidden ordinary temperature of the water and calorimeter.

Q_calorimeter = (200.0 g) * (0.385 J/g°C) * (18.0°C - T_i)

Subbing these circumstances into the norm of conservation of energy, we get:

m_ice * L_f = m_water * c * (T_f - T_i) + m_calorimeter * c_calorimeter * (T_f - T_i)

Tending to for T_i, we get:

T_i = T_f - [(m_ice * L_f)/(m_water * c + m_calorimeter * c_calorimeter)]

T_i = 18.0°C - [(10.0 g) * (333 J/g)/(300.0 g * 4.184 J/g°C + 200.0 g * 0.385 J/g°C)]

T_i = 2.68°C

As needs be, the basic ordinary temperature of the water and copper was 2.68°C (conveyed to three immense figures).

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5. An elephant has weight of 48000N and exerts pressure of 60000 Pa on the ground. What is the area of the elephant's feet in contact with the ground?
a. 1.25 m^2
b. 0.8 m^2
c. 2.0 m^2
d. 8.0 m^2

Answers

Answer:

A  1.25 m²

Explanation:

The graph shows how the speed of a car travelling in a straight line changes with time. Which section shows the largest acceleration? speed A B C D time​

Answers

The section that shows the largest acceleration on the graph would be section B, as it has the steepest slope.

This indicates that the car is increasing in speed at a faster rate during this section compared to the other sections.

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complete question not found in search engine.

1.5 Find the center of gravity of a 100 mm x 150 mm x 30 mm T-section. H 150 mm -100 mm- G D BI 30 mm E -30 mm Figure 1.5 1.​

Answers

Answer:

Explanation:

que ricos puntitos

Toy cars of different masses accelerate as they move down a ramp as shown in the figure. A motion sensor is used to measure the speed of each car. It is found that all of the cars have the same speed at the bottom of the ramp. This graph shows how the mass of the car affects the car’s kinetic energy at the bottom of the ramp. Based on the graph, describe the relationship between the mass and the kinetic energy of the car, and then predict, in joules the kinetic energy of a car with a mass of 80 grams.

Answers

The Kinetic energy of the car with a mass of 80 grams is 0.40 joules

How do i determine the kinetic energy?

From the graph given, we can see that the as the mass increase, the kinetic energy also increase. Thus, we can say that the kinetic energy and mass of the car are in direct proportionality.

Now, we shall obtain the velocity of the car. Details below:

Kinetic energy (KE) = 0.1 JMass of (m) = 20 g = 20 / 1000 = 0.02 KgVelocity (v) = ?

KE = ½mv²

0.1 = ½ × 0.02 × v²

0.1 = 0.01 × v²

Divide both side by 0.01

v² = 0.1 / 0.01

Take the square root of both side

v = √(0.1 / 0.01)

v = 3.16 m/s

Finally, we shall determine the kinetic energy of the car of mass 80 grams. Details below:

Mass (m) = 80 g = 80 / 1000 = 0.08 KgVelocity (v) = 3.16 m/sKinetic energy (KE) =?

KE = ½mv²

KE = ½ × 0.08 × 3.16²

Kinetic energy = 0.40 joules

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What is a hydrogen displacement?​ ​

Answers

A chemical process known as hydrogen displacement occurs when hydrogen gas is replaced or displaced by another element or molecule.

It results from a number of reactions, most of which involve a reactive metal or substance. A metal reacting with an acid can displace hydrogen atoms of the acid, resulting in the formation of a salt and the release of hydrogen gas as an example.

Another example is the interaction of a metal with water molecules, which displaces hydrogen atoms and results in the formation of metal hydroxide and hydrogen gas. Chemistry studies hydrogen displacement reactions in great detail because they are important for understanding the reactivity of various compounds. They shed light on the behavior of elements, how well they can replace hydrogen, and how new compounds are formed.

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Review the ray tracing provided.

A thin lens is located centered over a 14 cm ruler at the 7 cm mark. A black dot is located at 5.5 cm on the left side of the lens and at 8.5 cm on the right side of the lens. An arrow is located at the 6 cm mark. Rays appear to go from the head of the arrow towards the lens, and then extend backwards to the tip of an arrow located at 4 cm.

Which of the following best describes the image?

Inverted, smaller, and real
Upright, smaller, and virtual
Upright, larger, and real
Upright, larger, and virtual

Answers

The best description of the image is (B) upright, smaller, and virtual is correct option.

To determine the characteristics of the image, we can use the thin lens equation:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the object distance (distance of the object from the lens), and di is the image distance (distance of the image from the lens).

We can also use the magnification equation:

m = -di/do

where m is the magnification.

First, we need to determine the focal length of the lens. We can use the fact that the lens is centered over the 14 cm ruler at the 7 cm mark, which means the lens is 7 cm from both the left and right sides of the ruler. Since the ruler has a total length of 14 cm, the lens must be in the middle, and the distance from the lens to the ruler is 7 cm. Therefore, the lens has a focal length of 7 cm.

Next, we can use the thin lens equation to find the image distance for the arrow located at the 6 cm mark:

1/7 = 1/(6 - 7) + 1/di

di = -7 cm

The negative sign indicates that the image is inverted.

We can also use the magnification equation to find the magnification of the image:

m = -di/do = -(-7)/(-6) = 7/6

The positive magnification indicates that the image is upright.

Finally, we can use the image distance and magnification to determine the characteristics of the image. Since the image distance is negative, the image is virtual. Since the magnification is less than 1, the image is smaller.

Therefore, the best description of the image is upright, smaller, and virtual.

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Answer:

upright, smaller virtual

Explanation:

Will the placement of the continents on Earth look different in 100 million years than today?

Answers

Answer:

Yes

Explanation:

Continents is constantly moving, but at very slow rate.

This is due to the movement of the tectonic plate underneath the earth surface.

On average they move about 10 cm per year.

So in 100 million, they will move 10,000 km.

Of course, how the continents looks 100 million years from now will be very different than today.

There are two major types of data storage: Hard copy (paper) and digital storage. Both have strengths and weaknesses. Which do you think is better and why?


Your response should be 3-5 sentences long

Answers

Answer:

Both hard copy and digital storage have their own advantages and disadvantages, and which one is better largely depends on the specific use case and personal preferences. Hard copies can be more reliable in case of power outages or system failures, and can be easily transported without requiring any special equipment. Digital storage, on the other hand, can be more convenient for accessing, sharing, and searching large amounts of data, and can be easily backed up and protected from physical damage. Ultimately, the choice between the two depends on the needs and priorities of the user.

Explanation:

I think that digital storage would be the better option of the two. The waste produced by paper-related industries does great harm to our ecosystem, using digital storage would help keep a reduction in pollution.

Also, having a hard copy paper, you might misplace and lose it. If you use digital storage you have easy access and retrieval. It can hold much more information, take up less space, and be created in a shorter amount of time than analog methods.

What is the S-P difference (sec)?
What is the amplitude (mm)?
What is the distance (km)?
What is the magnitude (M)?

Answers

(a) The S-P difference of the wave is determined as is 40 sec.

(b) The amplitude of the wave is determined as is 10 mm

(c) The distance of the wave is determined as is 380 km

(d) The magnitude of the wave is determined as is 4.5

What is amplitude of a wave?

The amplitude of a wave is the maximum displacement or distance that a wave moves from its rest position to its crest (the highest point) or trough (the lowest point). In other words, it is the measure of the strength or intensity of a wave.

Question 1:

From the graph, the S-P difference, that is between S and P = 40 s - 0 s

= 40 s

Question 2:

The distance (km) corresponding to 40 sec is 380 km.

Question 3:

The amplitude of the wave is the maximum displacement of the wave and it is equal to 10 mm.

Question 4:

The corresponding magnitude of the wave is 4.5.

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1. Two resistors R₁ (12 ohm) and R₁ (24 ohm) are
connected in series across a 6.0 V battery
of negligible internal resistance.
Draw a circuit diagram (to the right) and calculate:
The total resistance of the two resistors:
The total current flowing in the circuit:
The current flowing in R₁
The current flowing in R2
The total power consumed by R₁ and R₂
11

Answers

Here's the circuit diagram:

```

   +---R₁---R₂---+

   |             |

   -             -

  (6V)          ( )

                 |

                 |

                 |

                 |

                 |

                 |

                 |

                ( )

                -

```

Calculations:

1. The total resistance of the two resistors:

  R_total = R₁ + R₂

          = 12 ohm + 24 ohm

          = 36 ohm

  Answer: 36 ohm

2. The total current flowing in the circuit:

  I = V / R_total

    = 6.0 V / 36 ohm

    = 0.167 A

  Answer: 0.167 A

3. The current flowing in R₁:

  I₁ = V / R₁

     = 6.0 V / 12 ohm

     = 0.5 A

  Answer: 0.5 A

4. The current flowing in R₂:

  I₂ = V / R₂

     = 6.0 V / 24 ohm

     = 0.25 A

  Answer: 0.25 A

5. The total power consumed by R₁ and R₂:

  P = I² * R_total

    = (I₁ + I₂)² * R_total

    = (0.5 A + 0.25 A)² * 36 ohm

    = 0.1875 * 36 ohm

    = 6.75 W

  Answer: 6.75 W

A rocket is fired from the earth to the moon at a speed of 0.930c. Let two events be "rocket leaves earth" and "rocket hits moon"
A. In the earth's reference frame, calculate Δx for these events.
B. In the earth's reference frame, calculate Δt for these events.
C. In the earth's reference frame, calculate the spacetime interval s for these events.
D. In the earth's reference frame, calculate Δx' for these events.
E. In the earth's reference frame, calculate Δt' for these events.
F. In the earth's reference frame, calculate the spacetime interval s' for these events.
G. In the earth's reference frame, calculate Δx if a rocket is replaced with a laser beam.
H. In the earth's reference frame, calculate Δt if a rocket is replaced with a laser beam.
I. In the earth's reference frame, calculate the spacetime interval s if a rocket is replaced with a laser beam.

Express ALL parts with appropriate units

Answers

A. Δx = 384,400 km (distance between Earth and Moon)

How to solve

B. Δt = 384,400 km / (0.930 * 299,792 km/s) ≈ 1.421 s

C. s² ≈ (-2.781 * 10^10) km² (imaginary number, time-like separated events)

D, E, F. Cannot answer without specified primed frame.

G. Δx for laser beam = 384,400 km

H. Δt for laser beam = 384,400 km / 299,792 km/s ≈ 1.282 s

I. s² for laser beam ≈ 0 km² (light-like separated events)



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1 Consider a ring, sphere and Solidey clinder all with the same mass. They are all held at the top of the inclined Plane which is at 20° to the horizontal. the top of the inclined Plane is 1m high. The shapes are released simultaneously and allowed to roll down the inclined plane. Assume the abjects roll with out slipping and that they are all made from the same material. Assume the coefficient of static friction bin the objects and the plane is 0.3.
A) which shapes have the greater moment of inertia ?
B) workout what order they would get to the bottom of the Slope!
C ) determine the linear acceleration(a)
D) calculate the tangential (linear) Veloci ty of each shapes
E) How long will it take each shape to reach the bottom of the Slope ?
I give you 100 coin please help me


-​

Answers

A) The solid cylinder has the greatest moment of inertia, followed by the ring, and then the sphere.

B) The solid cylinder will reach the bottom of the slope first, followed by the sphere, and then the ring.

C) The linear acceleration of the objects can be calculated using the following formula:

a = g * sin(θ) / (1 + I / mr^2)

where g is the acceleration due to gravity, θ is the angle of the incline, I is the moment of inertia, m is the mass, and r is the radius of the object.

Plugging in the numbers, we get:

a_ring = 9.8 m/s^2 * sin(20°) / (1 + 0.5 / 1^2) = 1.09 m/s^2
a_sphere = 9.8 m/s^2 * sin(20°) / (1 + 2 / 1^2) = 0.84 m/s^2
a_cylinder = 9.8 m/s^2 * sin(20°) / (1 + 0.5 / 0.5^2) = 1.47 m/s^2

Therefore, the linear accelerations are a_ring = 1.09 m/s^2, a_sphere = 0.84 m/s^2, and a_cylinder = 1.47 m/s^2.

D) The tangential velocity of each object can be calculated using the following formula:

v = a * r

where a is the linear acceleration, and r is the radius of the object.

Plugging in the numbers, we get:

v_ring = 1.09 m/s^2 * 0.5 m = 0.55 m/s
v_sphere = 0.84 m/s^2 * 1 m = 0.84 m/s
v_cylinder = 1.47 m/s^2 * 0.5 m = 0.74 m/s

Therefore, the tangential velocities are v_ring = 0.55 m/s, v_sphere = 0.84 m/s, and v_cylinder = 0.74 m/s.

E) The time it takes for each object to reach the bottom of the slope can be calculated using the following formula:

t = sqrt(2 * d / a)

where d is the distance traveled, and a is the linear acceleration.

Plugging in the numbers


A) The solid cylinder has the greatest moment of inertia.
B) The order in which the objects would reach the bottom of the slope is: sphere, cylinder, and ring.
C) The linear acceleration of each object is the same and is equal to 0.98 m/s^2.
D) The tangential velocity of the sphere, cylinder, and ring are 2.78 m/s, 3.53 m/s, and 4.24 m/s, respectively.
E) The time it takes for each object to reach the bottom of the slope can be calculated using the following formula:

time = square root(2h / g)

where h is the height of the slope (1m) and g is the acceleration due to gravity (9.8 m/s^2).

Plugging in the numbers, we get:

time for sphere = 0.45 s
time for cylinder = 0.51 s
time for ring = 0.57 s

Therefore, the sphere would reach the bottom first, followed by the cylinder, and then the ring.

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