A 10,000 kg rail car traveling west at 50 m/s collides with a
5,000 kg rail car traveling east at 70 m/s. The two rail cars stick
together after the collision. The velocity of the wreckage after the
collision is
m/s. Include sign and magnitude of
velocity in your answer.
Assume east is positive and west is negative.

Answers

Answer 1

The final velocity of the wreckage after the collision is 56.67 m/s.

Mass of the first rail car, m₁ = 10⁴kg

Velocity of the first rail car, v₁ = 50 m/s

Mass of the second rail car, m₂ = 5 x 10³kg

Velocity of the second rail car, v₂ = 70 m/s

According to the law of conservation of momentum, the momentum of an isolated system will remain a constant in a domain.

So, the initial momentum before collision will be equal to the final momentum after the collision.

So,

m₁v₁ + m₂v₂ = (m₁ + m₂)v

Therefore, the final velocity of the wreckage after the collision is,

v = (m₁v₁ + m₂v₂)/(m₁ + m₂)

v = [(10⁴x 50) + (5 x 10³x 70)]/(10⁴+ 5 x 10³)

v = [(50 x 10⁴) + (35 x 10⁴)]/15 x 10³

v = 85 x 10⁴/15 x 10³

v = 56.67 m/s

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Related Questions

Match the vocabulary words to its correct definitions.
Column A
2.
3.
पं
5.
6.
The combination of fat-free mass and fat mass
The ability of the heart, blood, blood vessels and
lungs to supply enough oxygen and necessary
fuel to the muscles during long periods of
physical activity
The muscles ability to move a joint through a
full range of motion
The ability of a muscle or muscles to repeat a
movement many times or hold a position
without stopping to rest
The ability of a muscle or muscles to push or
pull with its total force
An activity that places an additional force
against the muscle or muscle group
Column B
a. Muscular Endurance
b. Body composition
c. Flexibility
d. Muscular Strength
e. An activity that places an additional force against the
muscle or muscle group
f. Resistance Training
g. Cardiorespiratory Endurance

Answers

2. The ability of the heart, blood, blood vessels, and lungs to supply enough oxygen and necessary fuel to the muscles during long periods of physical activity - g. Cardiorespiratory Endurance.

What are the muscles?

Muscles are specialized tissues in the human body that are responsible for movement, stability, and maintaining posture. There are three types of muscles in the body: skeletal, cardiac, and smooth muscles.

3. The muscle's ability to move a joint through a full range of motion - c. Flexibility

पं - This word is not provided in the question.

4. The ability of a muscle or muscles to repeat a movement many times or hold a position without stopping to rest - a. Muscular Endurance

5. The ability of a muscle or muscles to push or pull with its total force - d. Muscular Strength

An activity that places an additional force against the muscle or muscle group - f. Resistance Training

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What kind of question can be asked upon reflection.

Answers

Answer:

Explanation:

When dealing with optics, there is an incident wave, a reflected wave, and a transmitted wave. An incident wave is the initial wave coming out from the source, like a flashlight.

Then the reflected wave is created when the incident wave encounters an interface like a piece of glass. The reflected wave will reflect like you would expect.

Then, the transmitted wave is the wave which passes through the interface and continues.

So, a good question would be to ask for the value of the reflected wave function given an initial incident wave.

Another example entirely would be to look at the reflected wave on a tensioned string. If you shake a string up and down, a wave will be sent through it. Once hitting the wall, the wave will reflect back. A good question there is asking how the amplitude of the wave changed.

calculate the height (in m) of a cliff if it takes 2.32 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.19 m/s. 7.37 correct: your answer is correct. seenkey 7.37 m (b) how long (in s) would it take to reach the ground if it is thrown straight down with the same speed? 0.649 correct: your answer is correct. seenkey 0.649 s

Answers

To calculate the height of the cliff and the time it takes for the rock to reach the ground when thrown straight down, we can use the equations of motion.

(a) Height of the cliff:

When the rock is thrown straight up, it reaches its highest point before falling back down. The time it takes for the rock to reach its highest point is equal to the time it takes for the rock to fall back down to the ground.

Using the equation:

s = ut + (1/2)at^2

Where:

s is the distance traveled (height of the cliff),

u is the initial velocity (8.19 m/s),

t is the time (2.32 s),

a is the acceleration due to gravity (-9.8 m/s^2, taking downward direction as negative).

Rearranging the equation:

s = ut + (1/2)at^2

s = (8.19)(2.32) + (1/2)(-9.8)(2.32)^2

s = 19.004 - 25.798

s = -6.794 m

Since the height of a cliff cannot be negative, we take the absolute value of the result:

Height of the cliff = |s| = 6.794 m

So, the height of the cliff is approximately 6.794 meters.

(b) Time to reach the ground when thrown straight down:

When the rock is thrown straight down with the same speed, the initial velocity (u) is still 8.19 m/s, but the acceleration due to gravity (a) remains -9.8 m/s^2.

Using the equation:

s = ut + (1/2)at^2

Where:

s is the distance traveled (height of the cliff, which is now negative),

u is the initial velocity (8.19 m/s),

t is the time we want to find,

a is the acceleration due to gravity (-9.8 m/s^2, taking downward direction as negative).

Substituting the known values:

-6.794 = (8.19)t + (1/2)(-9.8)t^2

Rearranging the equation:

-6.794 = 8.19t - 4.9t^2

Rearranging further:

4.9t^2 - 8.19t - 6.794 = 0

Solving this quadratic equation, we find two possible values for t: 0.828 seconds and 1.303 seconds. Since we are considering the time it takes to reach the ground, the valid solution is t = 0.828 seconds.

Therefore, when the rock is thrown straight down, it takes approximately 0.828 seconds to reach the ground.

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The red team hits the ball over the net in 2 hits and it hits on the floor 2 times before the

blue team can hit the ball.

O I point for the red team

0 1 point for the blue team

O 2 points for the red team

Answers

In this scenario, the red team hits the ball over the net in 2 hits and it hits the floor 2 times before the blue team can hit the ball. Based on the given information, the red team would earn 2 points.

1. The red team hits the ball over the net in 2 hits. This means that the red team successfully makes the ball go over the net within 2 hits.

2. The ball then hits the floor 2 times before the blue team can hit it. This means that the ball bounces on the floor twice before the blue team has a chance to make a hit.

Since the red team successfully hits the ball over the net and it hits the floor twice before the blue team can make a hit, the red team would earn 2 points.

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The smallest size conductor permitted by the NEC for branch circuits, feeders or services is _____ copper or _____ aluminum.

Answers

The smallest size conductor permitted by the NEC (National Electrical Code) for branch circuits, feeders, or services is 14 AWG copper or 12 AWG aluminium.

The smallest size conductor permitted by the NEC (National Electrical Code) for branch circuits, feeders, or services depends on the load that the conductor is expected to carry, as well as the material and type of insulation used in the conductor.

However, in general, for copper conductors, the minimum size permitted for branch circuits, feeders, or services is typically 14 AWG (American Wire Gauge), while for aluminum conductors, the minimum size is typically 12 AWG. It's important to note that these are minimum sizes, and the appropriate conductor size should be determined based on the specific application and load requirements, as specified by the NEC.

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Cleo stated that light travels through air in straight paths, and when it moves from air to water, light changes direction, speeds up, and bends toward the normal.

Which statement best describes Cleo’s mistake?
A. Light travels through air and water in angled, scattered paths.
B. Light does not change direction when it moves from air into water.
C. Light slows down when it moves from air into water.
D. Light bends away from the normal when it moves from air into water.

Answers

Answer:

light bends away from the normal when it moves from air into water-refraction

Answer: C.) Light slows down when it moves from air into water.

Explanation: i hope this helps :)

(a) A 11.0 g wad of sticky day is hurled horizontally at a 110 g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides 7.50 m before coming to rest. If the coefficient of friction between block and surface is 0.650, what was the speed of the clay (in m/s) immediately before impact? m/s (b) What If? Could static friction prevent the block from moving after being struck by the wad of clay if the collision took place in a time interval At - 0.100 s?

Answers

a) The speed of the clay immediately before impact was 0.033 m/s. b) No, static friction could not prevent the block from moving after being struck by the wad of clay if the collision took place in a time interval of 0.100 s.

The initial momentum of the clay and the block is given by:

p = mv = (m₁ + m₂)v₁

After impact, the clay sticks to the block, so the final momentum is:

p' = (m₁ + m₂)v₂

By the law of conservation of momentum, we have:

p = p'

(m₁ + m₂)v₁ = (m₁ + m₂)v₂

v₁ = v₂

The final velocity of the block is given by:

v₂ = √(2umgd/(m₁ + m₂))

where u is the coefficient of friction, m is the mass of the block, g is the acceleration due to gravity, and d is the distance traveled by the block.

Substituting the given values, we get:

v₂ = √(20.6500.1109.817.50/(0.110 + 0.011))

v₂ = 3.01 m/s

Now, the initial momentum of the clay can be found by:

p = mv = (11.0 g)(v₁)

Converting the mass to kg and solving for vi, we get:

v₁ = p/(m₁)

= (0.011 kg)(v₂)

= 0.033 m/s

The force of the wad of clay on the block is greater than the maximum static frictional force that the surface can provide, so the block will continue to slide.

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What does the pressure at a point in a fluid depend on?

Answers

The pressure at a point in a fluid depends on its weight.

Weight is the product of mass of the object and the acceleration due to gravity.

Fluid pressure is the pressure at a point inside a fluid due to the weight of the fluid.

The pressure in liquids can be calculated using the following relationship,

\(P_{fluid}\) = P + ρgh

where,

\(P_{fluid}\) = pressure at a point in the fluid

P = pressure at reference point

ρ = Density of liquid

g = gravitational acceleration (relative to the ground g = 9.8 m/s)

h = Height from reference point

Two factors affect fluid pressure.

These two elements are the depth and density of the fluid.

Fluid depth: The pressure exerted by a fluid increases with depth.Liquid Density: Compared to lighter liquids like air, denser liquids like water create a higher pressure.

Therefore the fluid pressure depends on the weight at a point.

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Resource limit corn beans land 800 1 1 capital 90000 150 100 labor 3500 5 2.5 gross margin 100 80 to maximize profit, how many acres of beans should this producer plant?

Answers

To maximize profit, the producer needs to determine the optimal number of acres of beans to plant. To find this, we can calculate the gross margin per acre for each crop option. The gross margin is the revenue generated minus the cost of production. For corn, the gross margin per acre is calculated as follows:

Gross margin per acre = Gross margin of corn / Acres of corn

= $100 / 1 = $100 per acre.

For beans, the gross margin per acre is calculated as follows:

Gross margin per acre = Gross margin of beans / Acres of beans

= $80 / 1

= $80 per acre.

To maximize profit, the producer should choose the crop with the highest gross margin per acre.

In this case, corn has a higher gross margin per acre ($100) compared to beans ($80). Therefore, the producer should plant corn instead of beans. The direct answer to the question is that the producer should not plant any acres of beans. Instead, they should focus on planting corn to maximize their profit.

Remember, this answer is based solely on the provided information and assumes that there are no other factors influencing the decision. It is important to consider other variables such as market demand and availability before making a final decision.

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we can see light move with our bare eyes true or false​

Answers

True, the movement of light is what produces colours and reflection and refraction.

Answer:

Hi, so the Answer would basically be Yes, and No because it depends on the form of light but in general I would say that the answer would be No.

Explanation:

We call it visible light because we can see it with our own eyes. There are different forms of light which we cannot see with our bare eyes. Ultraviolet light is an example of a form of light which we cannot see with just our eyes.

4. If the circuit below draws a current of 0.195 A, what is the equivalentresistance? Hint: Use Ohm’s law.

4. If the circuit below draws a current of 0.195 A, what is the equivalentresistance? Hint: Use Ohms

Answers

62.53 ohms

Explanation

Ohm's law states that the voltage or potential difference between two points is directly proportional to the current or electricity passing through the resistance, and directly proportional to the resistance of the circuit.

\(\begin{gathered} V=IR \\ so \\ R=\frac{V}{I} \end{gathered}\)

then

Step 1

a)let

\(\begin{gathered} V=12.0\text{ v} \\ I=0.195\text{ A} \end{gathered}\)

now, replace in the formula

\(\begin{gathered} R=\frac{V}{I} \\ R=\frac{12.0\text{ v}}{0.195\text{ A}} \\ R=62.53\text{ }\Omega \end{gathered}\)

therefore, the answer is

62.53 ohms

I hope this helps you

at the solstice in june, the vertical rays from the sun strike directly overhead at the tropic of cancer. true false

Answers

Answer: True

At the solstice in June, the vertical rays from the sun strike directly overhead at the Tropic of Cancer, which is located at 23.5 degrees north of the Equator.

The vertical rays from the sun strike directly overhead at the Tropic of Cancer because the Earth's axis is tilted at an angle of 23.5 degrees, causing the Northern Hemisphere to receive more direct sunlight during the June solstice.

The Tropic of Cancer is located at 23.5 degrees North latitude, and therefore receives the most direct sunlight during this time. This is also the reason why the Northern Hemisphere experiences the longest day of the year during the June solstice, while the Southern Hemisphere experiences the shortest day of the year.

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if the universe is 13.8 billion years old, how can we see 46 billion light years away

Answers

if the universe is 13.8 billion years old, how can we see 46 billion light years away because space has also been expanding?

When total distance to distant cosmic objects like galaxies is taken into account, their measurement is referred to as cosmological distance. This distance accounts for universe's ongoing expansion. Space itself stretches as a result of the universe's expansion, causing two things' distances to grow even when they are not physically moving apart.

One may observe objects that are currently positioned farther distant than the age of the universe thanks to this stretching of space. For a very long time, light emanating from these far-off objects has been travelling through space. Light has essentially travelled a greater distance than the actual physical distance between us and the object because of the universe's expansion during that time.

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1. DCI Forces and Motion A ball is rolling down a flat, frictionless ramp with
a constant velocity of 13 m/s. What is the acceleration of the ball over three
seconds? Over an infinite number of seconds? Explain your answer.

Answers

The acceleration of the ball is zero.

What is the acceleration?

The term acceleration refers to the rate of change of velocity with time thus we can write;

a = d(v)/dt. This simply means the change in velocity with respect to time in the calculus notation.

This implies that before we can talk of acceleration the velocity must be changing. We can not have acceleration when the velocity is constant. It violates the very definition of acceleration. As such, the acceleration of the ball is zero.

Thus whether over a period of three seconds or over an infinite period of time, the acceleration would remain zero because the velocity is constant and does not change over the time interval as given.

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What are the two types of motion an object can experience when acted upon by balanced forces?

Answers

Answer:

according to newton's first law of motion, when balanced forces are applied to an object:

an object at rest stays at rest an object in motion continues its motion with a constant speed

The two types of motion an object can experience when acted upon by balanced forces are translational and rotational motion.

According to Newton's first law of motion which states that "a body will continue in its state of rest unless acted upon by an external force".

When a body at rest is acted upon by an external force, the body begins to move (it experienced motion). The body that experiences these balanced forces can wither move in a straight line (Translational motion) or in a circular manner (Rotational motion)

Hence the two types of motion an object can experience when acted upon by balanced forces are translational and rotational motion.

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What is the kinetic energy of a 0.4 kg football being thrown at 35 m/s?
14 J
490 J
245 J
137.2 J

Answers

Answer:

245 J

Explanation:

1) 35^2 = 1225

2) 1225 * 0.4 = 490

3) 490 ÷ 2 = 245

Conversations with astronauts on the lunar surface were characterized by a kind of echo in which the earthbound person's voice was so loud in the astronaut's space helmet that it was picked up by the astronaut's microphone and transmitted back to Earth. It is reasonable to assume that the echo time equals the time necessary for the radio wave to travel from the Earth to the Moon and back (that is, neglecting any time delays in the electronic equipment). Calculate the distance from Earth to the Moon (in km) given that the echo time was 2.52 s and that radio waves travel at the speed of light (3.00 ✕ 10^8 m/s).

Answers

The correct answer is 378000 km.

The speed of light is the rate at which light waves move through distinct substances. In instance, it has now been established that the speed of light in a vacuum is 299,792,458 metres per second.

Using the equation

distance = speed × time,

the total distance travelled is calculated.

Consequently, the overall distance travelled is

Distance = ( 3.00 × 10^8 m/s ) ( 2.52 )

= 756000000 m

The total distance travelled divided by two determines the distance between the Earth and the Moon.

Distance between earth to moon = 756000000/2

= 378000000 meters

= 378000 km.

Approximately 384 thousand kilometres separate the Earth and the Moon.

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Question 3

Involvement is the stage where your actual relationship begins

A. True
B. False

Answers

Answer:

B. False

Explanation:

Involvement is not the stage where an actual relationship begins.

Rather, involvement is a stage in the process of forming a relationship, where individuals have established mutual interest and are exploring the possibility of a deeper connection.

The actual relationship begins once the individuals have made a commitment to each other and have established a sense of exclusivity or partnership.

velma passes mort at a high speed. each holds a meter stick, oriented parallel to the direction of relative motion. velma observes that

Answers

Velma observes that Mort's meter stick appears shorter than her own due to the phenomenon known as length contraction.

Length contraction is a consequence of Einstein's theory of special relativity, which states that objects in motion relative to an observer experience a contraction in the direction of motion. When Velma passes Mort at a high speed, from her perspective, Mort's meter stick appears shorter than her own meter stick.This phenomenon occurs because as Velma approaches Mort, the relative velocity between them increases. According to special relativity, as an object moves faster relative to an observer, its length in the direction of motion appears to shrink. This effect is only noticeable at speeds approaching the speed of light, but it becomes significant in such scenarios.Therefore, Velma would perceive Mort's meter stick to be shorter than her own due to the observed length contraction resulting from their relative motion.

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how many items are present in the compound (NH4)2Cr2O7

Answers

in 2Cr2O7 there’s 2 items; Cr and O

11. In the original Ghostbusters, when asked by Dr. Peter Venkman what would happen if they crossed the streams from their proton packs, Dr. Egon Spengler responded, "It would be bad." The same thing could reasonably be said about _________ Specifically, the reason for this is due to violation of the assumption of _____________

Answers

The same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.

Let us understand what these terms mean:

Multicollinearity

In statistical analysis, multicollinearity is the high correlation among predictors in a regression model. It is problematic because of its adverse effects on the model, including making it difficult to determine the effect of an independent variable, coefficients becoming insensitive to small changes in the model, and reducing the reliability of the model.

Independent Predictors

In regression analysis, independent predictors are those variables that contribute to the prediction of the dependent variable or outcome, and their inclusion in the model improves the accuracy of the prediction of the model.

In a regression model, it is an assumption that predictors are independent, which means that the predictors have little to no correlation with each other. If this assumption is violated, it is known as multicollinearity.

Therefore, the same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.

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physics formula
Work Formula The work formula measures the multiplication of magnitude of displacement d and the component of the force. W = F × d × cosθ

Answers

W = fd means that the work is equal to the force f times the distance d. The work is W = fd cosФ if the force is applied at an angle of Ф to the displacement.

What are work state and its SI unit?

Work is a unit of energy that is generated when a force is applied to the body and the body is moved. The Joule is the SI unit of work.

Is there no displacement while work?

A displacement and the force that triggered it are necessary for a force to be considered to have accomplished work on an item.

How does relocation impact the work?

The displacement of the body: At constant load and constant angle between force and displacement, work is directly proportional to the displacement.

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The work formula is used to calculate the amount of energy required to move an object a certain distance.

What is energy ?

Energy is a fundamental concept in physics. It is defined as the capacity for doing work or the ability to produce change. Energy can be found in many forms, such as thermal, kinetic, chemical, electrical, gravitational, and nuclear. It can be converted from one form to another and can be transferred from one object to another. Energy is neither created nor destroyed, but can be changed from one form to another. This concept is known as the law of conservation of energy. In physics, energy is used to describe the ability to do work.

It is expressed as the multiplication of the magnitude of displacement (d) and the component of the force (F) acting on the object. The angle θ is the angle between the direction of the force and the direction of the displacement. The cosine of this angle (cosθ) is used to account for the fact that the force does not always act in the same direction as the displacement. The work formula can be expressed
as:  W = F × d × cosθ.

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es 1.9 and 1.10 (Section sese problems VP 1.10.3 Part F Vector A has components A, -5.00. A, 3.00, and A,-0. Vector B has components B, -2.50, B, = 4.00, and B, -1.50. Find the angle between the two v

Answers

Given vector A has components A,-5.00, A,3.00, and A,-0, and vector B has components B,-2.50, B,=4.00, and B,-1.50.

Here's the corrected solution:

Let vector A = (A1, A2, A3) = (A,-5.00, A,3.00, A,-0)

Let vector B = (B1, B2, B3) = (B,-2.50, B,4.00, B,-1.50)

The magnitude of vector A is:

|A| = √(A1² + A2² + A3²) = √((A)² + (-5.00)² + (3.00)² + (A)² + (-0)²) = √(2A² + 34)

The magnitude of vector B is:

|B| = √(B1² + B2² + B3²) = √((B)² + (-2.50)² + (4.00)² + (-1.50)²) = √(B² + 25.25)

The dot product of vectors A and B is:

A · B = A1B1 + A2B2 + A3B3

      = (A)(B) + (-5.00)(-2.50) + (3.00)(4.00) + (A)(-1.50) + (-5.00)(-2.50) + (A)(-1.50)

      = 7.50A + 22.50

The angle between two vectors can be calculated using the formula:

cos θ = A · B / |A||B|

Putting the respective values, we have:

cos θ = (7.50A + 22.50) / (√(2A² + 34) * √(B² + 25.25))

Therefore, the angle between the two vectors is given by:

θ = cos⁻¹((7.50A + 22.50) / (√(2A² + 34) * √(B² + 25.25)))

In this way, we have found the angle between vectors A and B.

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An iron nail does not pick up paper clips as a magnet would.

Answers

Answer:

Because even if iron is magnetic its not a magnet it self unless rubbed a magnetic object

I need help thank you

write down a question about human behavior that is interesting to you

and why are you interested in this question

now think about psychology how is your question related to this definition that is what is it about your question that makes it own psychology can address

Answers

An interesting question about human behavior that is of interest to me would be: "What factors contribute to the development of a sense of self-esteem in children?"

I am interested in this question because self-esteem is an important psychological construct that is thought to play a key role in mental health and well-being. Low self-esteem can be linked with a number of negative outcomes, such as depression, anxiety, and poor academic performance, while high self-esteem has been linked with positive outcomes, such as happiness and resilience. Understanding the factors that contribute to the development of self-esteem in children can help parents, educators and health professionals to create effective interventions that can help children to develop a strong sense of self-worth.

This question relates to psychology because it deals with the psychological construct of self-esteem, which is central to the field of psychology. It is a question that can be studied and explained through the research of cognitive, social and developmental psychology.

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What is the Force in Newtons exerted by brick with a mass of 0.5 kg and an Acceleration of 52m/s2?

Answers

F= a*m
F= 0.5 kg * 52m/s^2
F=26kgm/s^2 or 26N

Q4: An open belt running over two pulleys 240 mm and 600 mm diameters. The power to be transmitted is 4 KW from the smallest pulley that rotates at 300 rpm. Coefficient of friction is 0.3. Find the tensions in tight and slack sides.

Answers

The tensions in the tight and slack sides of the belt drive are calculated as follows:

Tension in the tight side: 321.8 N

Tension in the slack side: 108.7 N

The power to be transmitted is 4 KW from the smallest pulley that rotates at 300 rpm, while an open belt is running over two pulleys 240 mm and 600 mm diameters and the coefficient of friction is 0.3. This question requires the calculation of the tensions in tight and slack sides.

Step 1: Calculation of linear velocity and effective diameter of pulleys

Velocity ratio of the belt drive

\(\[V.R=\frac{N_1}{N_2}=\frac{D_2}{D_1}=\frac{600}{240}=2.5\]\)

Linear velocity of the belt drive on 240 mm diameter pulley

\(\[v=\frac{\pi DN}{60}=\frac{\pi \times 240 \times 300}{60}=37.7 \ \text{m}/\text{s}\]\)

Effective diameter of the driven pulley

\(\[D_2'=\frac{D_2-D_1V.R}{1-V.R}=\frac{600-240\times 2.5}{1-2.5}=684\text{mm}\]\)

Step 2: Calculation of tension in the slack side

Let \(\(T_1\) and \(T_2\)\) be the tensions in tight and slack sides, respectively.

The ratio of tensions in the belt drive is given as

\(\[T_1/T_2=e^{\mu \theta} \cdots (1)\]\)

Where \(\(\mu\)\) is the coefficient of friction and\(\(\theta\)\) is the angle of lap in radians on the smaller pulley.

\(\(\theta = \text{Angle of lap in radians} = 2.5 \times \pi = 7.854 \, \text{rad}\).\)

Substituting the given values in equation (1),

\(\[\frac{T_1}{T_2}=e^{0.3\times7.854}=2.96\]\)

Total tension on the belt

\(\[T=T_1+T_2\]\)

Power transmitted by the belt

\(\[P=\frac{T_1-T_2}{2}v \cdots (2)\]\)

Substituting the given values in equation (2), we get

\(\[4000=\frac{T_1-T_2}{2}\times 37.7\] \[T_1-T_2=212.6 \cdots (3)\]\)

Solving equations (1) and (3), we get the tension in slack side

\(\[T_2=\frac{T_1}{2.96}\]\)

Substituting the value of \(\(T_2\)\) in equation (3), we get

\(\[T_1-\frac{T_1}{2.96}=212.6\]\[T_1=\frac{212.6\times 2.96}{1.96}=321.8\text{N}\]\)

Therefore, the tensions in tight and slack sides are 321.8 N and 108.7 N respectively.

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A 3.5 m long frictionless pendulum of mass 2.0 kg is released from point A at an angle θ of 10 degrees. What is the speed of the pendulum at point D, half the height up to point E?

A 3.5 m long frictionless pendulum of mass 2.0 kg is released from point A at an angle of 10 degrees.

Answers

Answer:

5

Explanation:

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black holes, by definition, cannot be observed directly. what observational evidence do scientists have of their existence?

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Scientists have observational evidence of black holes through indirect methods, such as studying the effects of their strong gravitational pull on surrounding matter, detecting X-rays emitted from accretion disks.

Black holes, by definition, cannot be observed directly since no light or information can escape their gravitational pull. However, scientists have gathered compelling evidence for their existence through indirect observations. One such method involves studying the effects of black holes on surrounding matter. As matter falls into a black hole's gravitational field, it forms an accretion disk that emits X-rays detectable by space telescopes. Additionally, the detection of gravitational waves, ripples in spacetime caused by the acceleration of massive objects, provides strong evidence for the existence of black holes. Advanced detectors like LIGO and Virgo have successfully observed gravitational waves generated by black hole mergers, confirming their presence in the universe.

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what would happen if measurements such as mass,length,volume,or temperature weren't standardized and everyone made up their own units

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Answer:

The world would have been blown up by now.

Explanation:

Hypothetically, lets say that someone gave Kim Jong boi a cup of coffee.

He gets mad at the "public servant" since it didn't contain 3 posafa43asdunds of sugar which makes him "big".

The public servant claims they added jfoaj4su38093 units of sugar, which is equivalent to 3 posafa43asdunds.

He gets mad and launches big cannons at Trump since he blames Boe Jiden.

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