A screw jack, 25% efficient and having a screw of pitch 0.4cm is used to raise a load through a certain height. If in the process the handle turns through a circle of radius 40cm, calculate the (i) Velocity ratio of the machine. (ii) The Mechanical advantage of the machine. (iii) Effort required to raise a load of 1000N with the machine. (take = 3.14)​

Answers

Answer 1

The velocity ratio is 1004.8cm

The effort is  4000N

Mechanical advantage and velocity ratio

We can use the following formulas to solve the problem:

Efficiency = (output work / input work) x 100%

Velocity Ratio = distance moved by effort / distance moved by load

Mechanical Advantage = load / effort

First, we need to find the input work and output work:

Input work = force x distance moved

Output work = load x height raised

The distance moved by effort is equal to the circumference of the circle traced by the handle, which is 2 x π x 40cm = 251.2cm.

The distance moved by the load is equal to the height raised, which is not given in the problem.

Now, we can use the efficiency formula to find the output work:

25% = (output work / input work) x 100%

output work = 0.25 x input work

Next, we can use the velocity ratio formula to find the distance moved by the load:

Velocity Ratio = distance moved by effort / distance moved by load

1 / 4 = 251.2cm / distance moved by load

distance moved by load = 1004.8cm

Finally, we can use the output work formula to find the effort required:

Output work = load x height raised

0.25 x input work = 1000N x height raised

height raised = (0.25 x input work) / 1000N

We can also use the mechanical advantage formula to find the effort required:

Mechanical Advantage = load / effort

1 / 4 = 1000N / effort

effort = 4000N

Now we can solve for the input work:

Input work = force x distance moved

Input work = 4000N x 251.2cm

Input work = 1004800 Ncm

Next, we can use the output work formula to find the load:

Output work = load x height raised

0.25 x input work = load x height raised

load = (0.25 x input work) / height rraised

load = (0.25 x 1004800 Ncm) / (height raised in cm)

Therefore, the mechanical advantage and effort of the machine are  1004.8cm is  4000N respectively.

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Answer 2

i) The circumference of the circle through which the handle turns is 251.2 cm

ii) The mechanical advantage is 628

iii) The effort required to raise a load of 1000 N with the screw jack is approximately 1.59N

Calculations on the screw jack

The efficiency of a screw jack is given as 25%, which means that only 25% of the input work is converted into useful output work. The pitch of the screw is 0.4 cm, and the handle turns through a circle of radius 40 cm.

(i) Velocity ratio:

The velocity ratio is the ratio of the distance moved by the effort to the distance moved by the load. In a screw jack, the distance moved by the effort is the circumference of the circle through which the handle turns, while the distance moved by the load is the distance that the load is raised.

The circumference of the circle through which the handle turns is:

C = 2πr = 2 x 3.14 x 40

= 251.2 cm

The distance moved by the load for one complete turn of the screw is equal to the pitch of the screw:

d = 0.4 cm

Therefore, the velocity ratio of the screw jack is:

VR = distance moved by effort / distance moved by load = C / d = 251.2 / 0.4 = 628

(ii) Mechanical advantage:

The mechanical advantage of a screw jack is the ratio of the load lifted to the effort applied. It is given by the formula:

MA = load / effort

Since the screw jack is 25% efficient, the output work is only 25% of the input work. Therefore, the input work is four times the output work.

Input work = 4 x output work

Input work = effort x distance moved by effort

Output work = load x distance moved by load

The distance moved by the effort is the circumference of the circle through which the handle turns, while the distance moved by the load is the distance that the load is raised. Therefore:

effort x 2πr = load x d

Substituting the values given, we get:

effort x 2 x 3.14 x 40 = load x 0.4

Simplifying, we get:

MA = load / effort = 2 x 3.14 x 40 / 0.4 = 628

(iii) Effort required to raise a load of 1000N:

To calculate the effort required to raise a load of 1000 N, we can use the formula:

effort = load / MA

Substituting the values given, we get:

effort = 1000 / 628 = 1.59 N (approximately)

Therefore, the effort required to raise a load of 1000 N with the screw jack is approximately 1.59N

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Related Questions

Calculate the force with which the moon pulls every kilogram of water in Kamali river given that the moon is 3×10^5km away from Nepal and mass of moon is 7x 10^22kg,

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In science, what exactly is a force?

The term "force" has a clear definition in science. It is quite acceptable to refer to a force of this level as a push or perhaps a pull. An object does not "have in it" or "contain" a force. One thing is subject to a force from another. There is no distinction between living and non-living things in the concept of a force.

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What is a good illustration of force?

A push that has the potential to accelerate something is called a force. A physical push could be used to move a large furniture item around a room. It might be less concrete, like depressing a gas pedal in such a car. J

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How long would a pendulum need to be to have a period of 3.00 s? (Unit = m)​

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Answer:2.24

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Trust

Which astronomer designed scientific instruments, including a new kind of thermometer, an improved compass, and a more powerful telescope? he also discovered four moons orbiting the planet jupiter.

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Galileo Galilei astronomer designed scientific instruments, including a new kind of thermometer, an improved compass, and a more powerful telescope.

What does a astronomer do?

Study on planets, asteroids, and other celestial bodies is done by astronomers. They use both space- and ground-based technologies, including as telescopes like the Space Telescope Hubble. Some astronomers study distant galaxies as well as things such as pulsars and black holes.

Do astronomers work at NASA?

Astronomy, atmospheric science, physics, and astrobiology, the study of space biology, are some of the scientific fields that are the most likely to lead to employment at Space agency. NASA uses 15 different types of scientists, demonstrating the significance of scientists from all specialities in space exploration.

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PLEASE ANSWER ILL GIVE BRAIN!!!

PLEASE ANSWER ILL GIVE BRAIN!!!

Answers

what’s the question?

Answer:

what's the question?........

How do I convert 82.000cm to m

Answers

Explanation:

We know,

100 cm= 1 m

1 cm= 1/100 m

82 cm= (1/100)×82 m

82 cm= 0.82 m

Were there experiences in his life that led to his interest in science and the study of the atom?
(i chose j.j Thomson for this worksheet)



I WILL GIVE BRAINIEST IF YOU HAVE A GOOD ANSWER and no links plz (this is worth 40 points too)

Answers

Answer:

The right answer is Democritus

Explanation:

He experienced bonding with his father which strongly resulted his interest in science and to the study of the atoms ;)

Your welcome

Democritus created the first atomic model. Democritus's experiences with his father also led to his interest in science and to the study of the atom. The atom in Democritus' model is an inert solid that interacts with other atoms mechanically. yes its me Ari

If a squirrel climbs a tree at 16m/s, how many meters will it travel every hour?

Answers

Answer:

57600 m and hour

Explanation:

The speedometer of a car moving east reads 60 mph. It passes another car that moves west at 60 mph. Which statement is the most accurate description of the motion of the vehicles?

Answers

Answer:

correct statement should be the same speed.

Explanation:

if the car is moving east reads 60 mph and it passes another car with the same speed.

therefore, the magnitudes of their velocities are equal.

and each car's velocity is the negative of the other car vehicle.

so the correct statement should be the same speed.

Answer:

They have different velocities

Explanation:

The cars are passing each other at the same speed, and because velocity is speed with direction they are at different velocities.

You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?

Answers

Answer:

2m/s

Explanation:

speed = distance÷time

speed =90÷45=2m/s

A car accelerates from 3 m/s to 12 m/s in 20 s.

What is the acceleration of the car?

Answers

Answer:

0.45  [m/s²].

Explanation:

1) formula of the required acceleration is (V-final velocity, V₀-initial velocity, t-elapsed time):

\(a=\frac{V-V_0}{t};\)

2) according to the formula above:

a=(12-3)/20=0.45 [m/s²].

5. Harrison claims that waves travel faster when the particles within the medium are farther apart. Is Harrison correct?
A. Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together.
B. Harrison is incorrect because particles can force each other to vibrate more easily in non-elastic materials where particles are farther apart.
C. Harrison is correct because particles can force each other to vibrate more easily in elastic materials where particles are closer together.
D. Harrison is correct because particles can force each other to vibrate more easily in non-elastic materials where particles are farther apart.​

Answers

Answer:

सं देश भर भर में नौ महिना अघिदेखि महिना अघिदेखि नै जातीय आधारमा प्रान्त पुगें र नेपाली जनताको लागि फरक छ तर त्यो पनि पाँचै वर्षमा धरासायी भयो पाँचै वर्षमा धरासायी भयो भने हेर्न त्यो पनि हो र स्वार्थी हुन्छ भन्थे यो मेरो पहिलो मृत्यु भएको हो। छ। यो म भने त्यो प्रेम कति

Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together. So, option A.

What is meant by vibration ?

Vibration is a periodic back-and-forth motion of the particles in an elastic body or medium.

Here,

Vibrations occurs when practically any physical system is moved out of its equilibrium condition and is left to react to forces that work to bring it back into equilibrium.

A periodic shift in time is referred to as a vibration. A wave is a regular oscillation in both space and time. The waves propagate from one point to another in a medium.

Most waves travel through different media, and this affects how fast they move.

In general, waves go through solids the quickest and gases the slowest. The reason for this is that while particles in a gas are farthest to one another, those in a solid are closer to one another.

Hence,

Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together. So, option A.

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a ball is launched from an ideal spring horizontally along a flat, horizontal track. the spring is initially compressed 0.12 meters from its uncompressed length and has a spring constant of 26 n/m. the ball has a mass of 0.52 kg. calculate how fast the ball is moving after being released from the spring. give your answer in units of m/s and round it to two decimal places.

Answers

The ball is moving at approximately 0.29 m/s after being released from the spring. Rounded to two decimal places, the final answer is 0.29 m/s

The potential energy stored in the compressed spring is given by:

\(U = (1/2) * k * x^2\)

where k is the spring constant, x is the compression distance, and U is the potential energy.

In this case, k = 26 N/m and x = 0.12 m. Substituting these values into the above equation, we get:

\(U = (1/2) * (26 N/m) * (0.12 m)^2U = 0.045 N*m = 0.045 J\)

The potential energy stored in the spring is converted into kinetic energy when the ball is released. The kinetic energy of an object with mass m moving at velocity v is given by:

At the instant of release, all the potential energy is converted to kinetic energy. Therefore, we can equate the two energies and solve for v:

K = U

\((1/2) * m * v^2 = 0.045 Jv^2 = (2 * 0.045 J) / mv^2 = (2 * 0.045 J) / 0.52 kgv^2 = 0.0865 m^2/s^2\)

Taking the square root of both sides gives us:

V= 0.294 m/s

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given a force of 88N and an acceleration of 4 m/s 2, what is the mass?

Answers

Answer:22kg

Explanation:

from F=ma, 88=4m, m=22kg

A transformer having a 180 turns of coil on its primary coil accommodates 220 volts. If its secondary coil has 100 turns… 1. How much voltage of electricity is generated by it? ______ 2. And what type of transformer is it? ______

Answers

This transformer is a step-down transformer as the voltage on the secondary coil is lower than the voltage on the primary coil. A step-down transformer is used to decrease the voltage level, while a step-up transformer increases the voltage level.

The voltage generated by the transformer can be calculated using the formula V1/V2 = N1/N2, where V1 is the voltage on the primary coil, V2 is the voltage on the secondary coil, N1 is the number of turns on the primary coil and N2 is the number of turns on the secondary coil. In this case, V1 is 220 volts, N1 is 180 turns and N2 is 100 turns. Therefore, the voltage on the secondary coil can be calculated as follows:

220/V2 = 180/100

V2 = (100 x 220) / 180

V2 = 122.22 volts

So, the voltage generated by the transformer is 122.22 volts.

Based on the given information, this transformer is a step-down transformer as the voltage on the secondary coil is lower than the voltage on the primary coil. A step-down transformer is used to decrease the voltage level, while a step-up transformer increases the voltage level.

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Pls help I really need help w this one Tnks

Pls help I really need help w this one Tnks

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Sorry I do not know srry

The force experienced by a unit test charge is a measure of the strength of an electric:
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Answer:

the answer should be field.

the effect of friction on air increases wind speed is relevant only within the planetary boundary layer increases with height increases the coriolis force

Answers

The effect of friction on air: B. is relevant only within the planetary boundary layer.

The types of force.

In Science, there are different types of force that acts on a physical object and these include the following:

Tension force.Electrical forceGravitational forceAir resistance forceApplied forceNormal Force.Magnetic forceFrictional force.

What is a frictional force?

Frictional force can be defined as a type of force that resists and slows the relative motion of two physical objects when there surfaces come in contact. This ultimately implies that, a frictional force prevents two surfaces from easily sliding over or slipping across one another.

Based on scientific research and experiments, we can reasonably infer that the effect of friction on air is relevant and important only within the planetary boundary layer.

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Complete Question:

The effect of friction on air:

A. increases wind speed.

B. is relevant only within the planetary boundary layer.

C. causes airflow to cross isobars rather than run parallel to them.

D. increases the Coriolis force. E. increases with height.

Is acceleration directly proportional to mass, or is it inversely proportional to mass?
Will give brainliest

Answers

Answer:

The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object

Answer:

It’s actually A) Inversely

Explanation:

Why do plane mirrors and convex mirrors form only virtual images?
a. because they both cause light rays to
spread out
b. because reflected rays appear to come
from behind the mirror
c. because the focal point is in front of the mirror
d. because they both show a wide angle of view

Answers

The plane mirrors and convex mirrors form only virtual images because reflected rays appear to come from behind the mirror.

In plane mirrors, the surface is totally  flat, making light rays to reflect off the surface at the same angle at which they hit it. The reflected rays appear to come from behind the mirror, making a virtual image.

The image created by a plane mirror is of the same size as the object and appears to be situated behind the mirror.

Likewise, convex mirrors have a curved outward surface. When light rays hit a convex mirror, they diverge after reflection. This divergence makes the reflected rays to appear to come from behind the mirror as well, that results in the formation of a virtual image.

Convex mirrors have a vast field of view due to the divergence of the reflected rays, that allows them them to show a wider angle of view compared to flat or concave mirrors.

Hence, the right answer is option b: because reflected rays appear to come from behind the mirror.

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What does your body do with nutrients during the digestion process?

Answers

Answer:

the correct answer is

Explanation:

The small intestine absorbs most of the nutrients in your food,and your circulatory system passes them on to other parts of your body to store or use. Special cells helped absorbed nutrients cross the intestinal lining into your blood stream.

hope this works out!!!!

Which of the following does not require good reaction time?
Select one:
A. Moving out of the way of a falling shelf
B.Removing your hand from a hot burner
C. Stopping while driving when you see the brake lights on the
car in front of you
D. Going to sleep

Answers

D. Going to sleep
Sleep is an action that doesn’t require quick reaction time while the other options are.

two stars have the same inherent brightness (absolute magnitude). star a appears 1/16 as bright as star b. star a is 4 light years away. star b must be

Answers

Star b must be 2 light years away. The apparent brightness of a star decreases with the square of the distance. Since star a appears 1/16 as bright as star b, star b must be √16 = 4 times closer, which is 2 light years away.

The apparent brightness of a star is determined by its intrinsic brightness, also known as its absolute magnitude, and its distance from the observer. In this scenario, star a and star b have the same absolute magnitude, indicating that they have the same inherent brightness. However, star a appears 1/16 as bright as star b. Since apparent brightness is inversely proportional to the square of the distance, we can deduce that star b must be 1/4 times the distance of star a to maintain the same apparent brightness. Given that star a is 4 light years away, star b must be 2 light years away. This ensures that the apparent brightness of star b is 1/16 of star a, as observed.

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A 2-kg object is observed to have a kinetic energy of 10 J. What is the linear momentum of this object?

Answers

The linear momentum of an object can be calculated using the formula:

Linear Momentum = Mass × Velocity

In this case, we are given the mass of the object as 2 kg. However, we are not directly given the velocity of the object. Instead, we are given the kinetic energy of the object, which can be related to its velocity.

The formula for kinetic energy is:

Kinetic Energy = 0.5 × Mass × \(Velocity^2\)

Given that the kinetic energy is 10 J and the mass is 2 kg, we can rearrange the formula to solve for the velocity:

10 J = 0.5 × 2 kg × \(Velocity^2\)

Dividing both sides of the equation by 1 kg and multiplying by 2, we get:

20 = \(Velocity^2\)

Taking the square root of both sides, we find:

Velocity ≈ √20 ≈ 4.47 m/s

Now that we know the velocity of the object, we can calculate its linear momentum using the formula:

Linear Momentum = Mass × Velocity

Linear Momentum = 2 kg × 4.47 m/s

Linear Momentum ≈ 8.94 kg·m/s

Therefore, the linear momentum of the 2-kg object is approximately 8.94 kg·m/s.

Linear momentum is a vector quantity and represents the quantity of motion of an object. It depends on the mass of the object and its velocity. In this case, the kinetic energy is used to determine the velocity of the object, which is then used to calculate the linear momentum.

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A 20.0 Ohm and 60.0 Ohm resistor
are connected in series to a 9.00 V
battery. What is their equivalent
resistance?
(Unit = Ohms)

A 20.0 Ohm and 60.0 Ohm resistorare connected in series to a 9.00 Vbattery. What is their equivalentresistance?(Unit

Answers

Answer:

for resistors in series, add the resistances to get their equivalence. The answer is

80.0 Ohms

do you think your real?

Answers

Answer: Yes I am alive.

Yes I am not a robot

Question: What is this? (look in image attached)

Question: What is this? (look in image attached)

Answers

Answer:

C. all of the above.

Explanation:

up at the top it says solar power bank.

in the boxes below it says LED flashlight and solar energy.

it is all of the above.

What is something that you use almost every day that is a polymer?
A) metal
B) gas
C) water
D) plastic
E) wood

Answers

The answer to the question, "What is something that you use almost every day that is a polymer?" is:D) plastic
Plastic is the most common example of a polymer that we use daily in various forms, such as bags, bottles, and containers.

Polymers are materials made up of repeating units or monomers, and plastic is one of the most common types of polymers used in everyday life. Plastic can be found in items such as water bottles, food containers, and packaging materials. It is a versatile material that can be molded into various shapes and forms, making it a popular choice for many applications.

Plastic is a polymer, which means it's composed of long chains of molecules. Other options are incorrect because:

A) Metal is not a polymer; it's an element or an alloy of different elements.
B) Gas is a state of matter and not a polymer.
C) Water is a compound  and not a polymer.
E) Wood is a natural material mainly composed of cellulose, which is a natural polymer, but it is not a primary example of a polymer when compared to plastic.


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Victor slides a puck up a long ramp whose coefficient of kinetic friction is μ. The ramp makes an incline θ with the horizontal. If the puck's initial velocity is v0, how far up the ramp does the puck go before coming to a stop? Find the puck’s position and velocity as a function of time.
Lilly repeats Victor’s experiment, but her ramp starts horizontal and increases its inclination at a rate of ω rad/s. How far along the ramp has Lilly’s puck travelled by the time the ramp has an incline of π/3 radians? The coefficient of friction between the puck and the ramp is μ.
Evelyn repeats Victor’s experiment. However, this time, the ramp exerts a force of F(v) = −cv2 on the puck instead of the usual force of friction, μ. If the initial velocity of the puck up the ramp is v0, how far up the ramp does the puck travel? How much time is required for the puck to reach its maximum height?

Answers

The puck’s position and velocity as a function of time is:

1. Victor's puck will travel a distance of (v0²)/(2g(μ + tan(θ))) up the ramp before coming to a stop.

2. Lilly's puck will travel a distance of (v0²)/(2g(μ + tan(π/3 - ωt))) along the ramp by the time the incline reaches π/3 radians.

3. Evelyn's puck will travel a distance of ∫(v0/c)dv from the bottom of the ramp to its maximum height and the time required to reach the maximum height is ∫(1/v0)(1/√(1 - (cv²/v0²)))dv.

1. For Victor's puck, the work done against friction is equal to the change in gravitational potential energy. Using the work-energy principle, we can derive an expression for the distance traveled up the ramp before coming to a stop.

To calculate the distance traveled up the ramp in Victor's experiment, we use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. In this case, the work done against friction is equal to the change in gravitational potential energy, which allows us to relate the distance traveled to the initial velocity and the coefficient of kinetic friction.

2. For Lilly's puck, the inclination of the ramp is changing over time. To determine the distance traveled along the ramp, we need to integrate the velocity of the puck with respect to time over the given range of incline.

For Lilly's experiment, the increasing inclination of the ramp adds a time-dependent component to the problem. To determine the distance traveled along the ramp, we need to integrate the velocity of the puck with respect to time. Since the inclination is changing at a constant rate, we can express it as a function of time and use this in the integration.

3. For Evelyn's puck, the force exerted by the ramp is given by F(v) = -cv². By setting this force equal to the weight of the puck, we can derive an expression for the velocity as a function of position. Integrating this expression will give us the distance traveled and the time taken to reach the maximum height.

In Evelyn's experiment, the force exerted by the ramp is different from the usual force of friction. Instead, it follows the equation F(v) = -cv². By equating this force to the weight of the puck, we can derive an expression for the velocity as a function of position. Integrating this equation allows us to determine the distance traveled up the ramp and the time taken to reach the maximum height.

When the puck slides up the ramp, two main forces act upon it: the force of gravity pulling it downwards and the frictional force opposing its motion. The net force acting on the puck determines its acceleration. In order for the puck to come to a stop, the net force must be equal to zero.

The net force can be calculated by considering the components of the forces acting on the puck along the ramp and perpendicular to the ramp. The force of gravity can be split into two components: one parallel to the ramp (mg sin(θ)) and one perpendicular to the ramp (mg cos(θ)), where m is the mass of the puck and θ is the angle of inclination of the ramp.

The frictional force can be calculated as the product of the coefficient of kinetic friction (μ) and the normal force exerted on the puck by the ramp (mg cos(θ)). However, since the puck is moving up the ramp, the frictional force acts in the opposite direction to the puck's motion. Therefore, the frictional force is -μmg cos(θ).

Setting up the net force equation, we have Fnet = μmg cos(θ) - mg sin(θ). Since the puck comes to a stop, Fnet must be equal to zero.

Solving the net force equation for θ, we get μ = tan(θ). Using trigonometric identities, sin(θ) = μ/√(1 + μ ²) and cos(θ) = 1/√(1 + μ ²), we can rewrite the net force equation as Fnet = μmg(μ/√(1 + μ ²)) - mg/√(1 + μ ²). Simplifying further, we have Fnet = (μ ²mg - mg)/(√(1 + μ ²)).

Since Fnet = 0, we have μ ²mg - mg = 0, which gives μ ² - 1 = 0. Solving for μ, we find μ = 1. This means that the coefficient of kinetic friction must be equal to 1 in order for the puck to come to a stop on the ramp.

Using the equation for distance traveled up the ramp, d = (v0 ²)/(2gμ), we can calculate the distance the puck travels before coming to a stop. This equation assumes that the initial velocity (v0) is sufficient to overcome the frictional force and reach a height where the net force becomes zero.

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Which step(s) of the greenhouse effect are being most affected by the increases in greenhouse gases, leading to an increase in heat?

1. Solar radiation enters the Earth system and is reflected and absorbed.
2. Absorbed energy is released into the atmosphere as heat.
3. Heat is absorbed by the atmosphere.
4. The atmosphere re-releases heat, warming Earth’s surface and lower atmosphere.

Answers

Answer:

1, 2, and 3

Explanation:

The heat of the solar radiation is absorbed by the atmosphere then the atmosphere re-releases heat, warming Earth’s surface and lower atmosphere. Therefore, option (3), (4) are correct.

What is the greenhouse effect?

The greenhouse effect can be described as a process that happens when energy heats the planet's surface, but greenhouse gases in the atmosphere stop some of the heat from returning directly to space and warm the planet.

The natural greenhouse effect keeps the earth from having the below-freezing temperature that it would freeze if there were no greenhouse gases. Additionally, human activities increase greenhouse gases and trap greater amounts of heat, which cause the Earth to grow warmer over time.

The Sun sends most of its energy as visible and near-infrared light, while Earth's average surface temperature emits longer-wavelength infrared, radiant heat. These greenhouse gases emit radiant heat in all directions, passing heat to the air and warming other greenhouse gases.

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which of the four terrestrial planets has or have a global (planetwide) magnetic field?

Answers


Mercury and Earth are the only 2
Other Questions
A 2kg ball is held at a height with 250J of gravitational potential energy. The ball is dropped. Calculate the velocity of the ball just before it hits the floor. I need some help with this precalculus homework question posted below. Which events are independent?exposure to UV radiation and developing skin cancerswimming and developing dementiacigarette smoking and developing lung cancerexercise and sweating Describe the major functions of the Board of Directors and recommend the best way the Board can effectively supervise senior management without interfering in the day-to-day running of the business entity The following rules shall also apply:1) 1.5 paragraph spacing2) Times New Roman font3) Headings on introduction and conclusion4) At least 5 credible references5) Cite credible examples in your work6) At least 1,000 words According to the AIDA concept, the first step an advertiser must take is to gain the consumers': a. attention. b. attitude alignment. c. action. Find the resistances of two resistors connected in parallel where oneresistance is three times as large as the other. Total resistance is 12 ohms. What is the product of 2 2/34 1/3? What is liberty?A. The ability for people to elect their own governmentB. A concept explaining that the government only has certain powersC. Belief that people should have the ability to do what they wishD. Formal consent is given to a law, agreement, or treaty Determine whether the following series converge. Justify your answers, by applying one of the tests of convergence/divergence for series. [infinity]k=1 ln( 2k+1)/(2k+4). Amy Tan's mother's language variety played a significant role in shaping Tan's identity. Which excerpt from her reflective essay "Mother Tongue" shows her admiration and appreciation of her mother's broken English?1.And sure enough, the following week, there we were in front of this astonished stockbroker, and I was sitting there red-faced and quiet, and my mother, the real Mrs. Tan, was shouting at his boss in her impeccable broken English.2.Sociologists and linguists probably will tell you that a person's developing language skills are more influenced by peers than by family. But I do think that the language spoken in the family, especially in immigrant families which are more insular, plays a large role in shaping the language of the child.3.Lately, I've been giving more thought to the kind of English my mother speaks. Like others, I have described it to people as "broken" or "fractured" English.4.I began to write stories using all the Englishes I grew up with: the English I spoke to my mother, which for lack of a better term might be described as "simple. . . I wanted to capture what language ability tests can never reveal: her intent, her passion, her imagery, the rhythms of her speech and the nature of her thoughts. (-5,5)(5,0) help pls need the work shown as well ahaha! SOME HELP PLS I NEED THIS ASAP!!!! The relinquishing (giving up) of power fromone president to the next was established byGeorge Washington. How do you think hewould view the most recent transition ofpower? checks outstanding totaled $4,540. a deposit of $4,730, representing receipts of july 31, had been made too late to appear on the bank statement. the bank had collected $2,460 on a note left for collection. the face of the note was $2,330. a check for $600 returned with the statement had been incorrectly recorded by stone systems as $660. the check was for the payment of an obligation to holland co. for the purchase of office supplies on account. a check drawn for $700 had been incorrectly charged by the bank as $70. bank service charges for july amounted to $45. Find the volume of the solid generated when the right triangle below is rotated about side \overline{UW} UW . Round your answer to the nearest tenth if necessary. The what gases are filled with how many valence electrons? grace read 1/3 of a book in the morning some at night and by the end of the day she still had 2/5 left how much did she read at night yasmine is a member of a work team at net.working, inc. she often proposes new solutions to team problems. this is an example of which task specialist role? How was the country changing in the late 1800s?Choose all answers that are correct.Many people moved to the cities.New technologies were invented.There was no leisure time.There were fewer farmers. Plot the points on the coordinate plane and answer the questions. Plot the points: A(4, 5), B(3, 3), C(6, 9), D(8, 13), and E(10, 15). All but one of the points are on the same line. Which one is not?