A 50.0-kg child stands at the rim of a merry-go-round of radius 2.70 m, rotating with an angular speed of 3.95 rad/s. What minimum coefficient of static friction is required

Answers

Answer 1

A 50.0-kg child stands at the rim of a merry-go-round of radius 2.70 m, rotating with an angular speed of 3.95 rad/s. Minimum coefficient of static friction is required 13.56.

To find the minimum coefficient of static friction required, we need to calculate the centrifugal force acting on the child and compare it to the force of friction.

The centrifugal force acting on the child is given by:

= Fc

= m * r * w^2

where

= m

= 50.0 kg (mass of child)

= r

= 2.70 m (radius of the merry-go-round)

= w

= 3.95 rad/s (angular velocity)

So, Fc = 50.0 kg * 2.70 m * (3.95 rad/s)^2

= 6629.775 N

The force of friction acting on the child is given by:

= Ff

= friction coefficient * normal force

where

friction coefficient = minimum coefficient of static friction required (unknown)

= normal force

= m * g

The normal force is equal to the weight of the child, which is

= m * g

= 50.0 kg * 9.8 m/s^2

= 490 N

So, Ff = friction coefficient * 490 N

To find the minimum coefficient of static friction, we need to set Ff equal to Fc and solve for the friction coefficient:

friction coefficient = Ff / N

friction coefficient = 6629.775 N / 490 N

= 13.56

So the minimum coefficient of static friction required is 13.56.

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Related Questions

Astronomers can use the brightness of two light sources, such as stars, tocompare the distances from the light sources. The intensity, or brightness, of light I is inversely proportional to the square of the distance from the lightsource d. If d is the independent variable and I is the dependent variable, graph the equation from Exercise 42 when k = 16

Answers

By looking at the brightness of two stars, astronomers can compare the relative distance of the two stars from Earth.

Who are astronomers?

Astronomers are scientists who study the universe and its phenomena. They observe, analyze, and interpret astronomical data to understand the physical and chemical properties of celestial bodies and their evolution over time. Astronomers use a variety of tools and techniques, including powerful telescopes, spectroscopy, and computer-based analysis, to explore the universe.

Step 1: Write the equation in the form of y= mx + b.

I = k/d^2

y = k/d^2

Step 2: Substitute the given values for k and m.

y = 16/d^2

Step 3: Graph the equation by plotting points for various values of d.

We can plot points for various values of d. For example:

d = 1, y = 16

d = 2, y = 4

d = 3, y = 16/9

d = 4, y = 1

d = 5, y = 16/25

We can plot these points on a graph and connect them with a smooth curve.

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What happens to a material when energy is transferred to it?

Answers

When labor is done, energy is transferred from the agent to the object, resulting in a change in the motion of the object (more specifically, a change in the object's kinetic energy).

Energy cannot be generated or destroyed, but it may be moved from one form to another. Energy may be altered in a variety of ways, such as when potential energy becomes kinetic energy or when one thing moves another.

Thermal energy is related to a system's internal energy because of its temperature. When a substance is heated, its temperature rises because its molecules begin to move faster, gaining thermal energy through heat transfer. Conduction, convection, and radiation are the three methods through which thermal energy is transferred.

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A negative charge of -0. 0005 C exerts an attractive force of 9. 0 N on w second charge that is 10 m away. What is the magnitude of the second charge?

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The second charge is 0.0002c in size. For a negative charge of -0. 0005 C, a second charge that is 10 metres away experiences an attracting force of 9.0 N.

In science, the issue of magnitude is undoubtedly of utmost significance. Magnitude typically refers to a size or a distance. We can relate magnitude to the movement by comparing the size and motion speed of the thing. A force in physics is an effect that has the power to alter an object's motion. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest).

q2 = 9*(10)^2/(9*10^9*0.0005)

q2 = 0.0002C

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Twice each lunar month, all year long, these tides occur. Whenever the moon, earth, and sun are aligned, the gravitational pull of the sun ___ to that of the moon causing ___ tides.


A. Adds ; neap


B. Adds ; maximum


C. Interferes ; neap


D. Interferes ; minimum


i need the answer now so just the answer and not a long explanation would be great ! thanks !

Answers

These tides occur twice each lunar month throughout the entire year. When the earth, moon, and sun are all in alignment, neap tides are produced by the sun's gravitational pull amplifying that of the moon.

When the sun and moon are both on the same side of the Earth, what tides occur twice a month?

Instead, the phrase refers to the idea of the tide "springing forth." Regardless of the season, spring tides happen twice each lunar month. Neap tides happen when the sun and moon are at right angles to one another, which also happens twice a month.

What are the names of moon tides?

The sun, the form of the ocean, and the moon all have an impact on how much or little the tide rises or falls on Earth. Moon tides are the results of the moon's influence on the Earth's tides. The major subject of this article is moon tides.

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A lever is used to lift an object with a weight of 60 Newtons. The effort force is 15 meters from the fulcrum, while the load force is 5
meters from the fulcrum. What is the mechanical advantage? (1 point)
0 3
O 12
O 75
0 4

Answers

120 foot pounds of anticlockwise torque are generated around the pivot point by the 60 pound load resting 2 feet from the fulcrum.

How can the load force of a lever be determined?

The force of the effort (Fe) multiplied by the effort's distance from the fulcrum (de) in a class one lever equals the force of the resistance (Fr) multiplied by the resistance's distance from the fulcrum (dr).

What mathematical equation can be used to determine a lever's mechanical advantage?

(b) The optimal mechanical advantage of a lever is equal to the effort arm's length divided by the resistance arm's length. The IMA is typically calculated as the effort force, Fe, divided by the resistance force, Fr.

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Answer:

3

Explanation:

I took the test

A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400Joules of work is done, how much force must have been applied?
A. 4000N
B.800N
C.100N
D.1600N

Answers

The force that was applied to the lever to raise the load of 220 Newtons   toa distance of 4 m is 100 N.

The correct option is C.

What is a lever?

A lever gives you the ability to move an object with a certain advantage, allowing you to do so with either less effort or more speed or displacement.

The use of forces and the exploitation of the torques they produce is how levers function. By changing the balance, we can carry large objects with little effort.

The law of the lever is given below as follows:

Fa / Fb = b / a

where;

Fa is the effort or force appliedFb is the load or force overcomea is the effort armb is the load or resistance arm

The effort applied, Fa, is calculated below:

Fb = 220 N

a = 10 m

b = 2 m

Fa = Fb * b / a

Fa = 220 * 2 / 10

Fa = 44 N

Work done = Force * distance

distance = 4 m

400 J = Force * 4

Force = 400 / 4

Force = 100 N

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30kg Michaela is swinging on a swing. Her total mechanical energy is 600 J. At what height will she be when she has a velocity of 2 m/s?

Please show all work!
40 points!!

Answers

Answer:

1.84 m

Explanation:

ME = KE + PE = 1/2mv² + mgh

600 J = 1/2(30 kg)(2 m/s)² + (30 kg)(9.8 m/s²)h

Solve for h:

600 J = 60 J + (294 kg·m/s²)h

h = 540J/294kg·m/s² = 1.84 m

11. A weightless bar AB is pivoted at its centre and weight of 10N and 30N are attached on side A at 4m and 2m from the pivot respectively. These weights are balanced by a weight of 25N on the other side B. How far is the 25N weight from the pivot?​

Answers

Answer:

-3.2m

Explanation:

To find the distance of the 25N weight from the pivot, we can use the concept of moments. The moment of a force is the product of the force and the perpendicular distance from the pivot to the line of action of the force.

The total moment about the pivot due to the weights on side A is:

Moment_A = (10N * 4m) + (30N * 2m) = 80Nm

The moment of the 25N weight on side B must be equal and opposite to the total moment of the weights on side A, so we can set up the following equation:

Moment_B = -80Nm

We can solve for the distance of the 25N weight from the pivot by rearranging the equation to solve for x:

x = Moment_B / 25N = -80Nm / 25N = -3.2m

So the distance of the 25N weight from the pivot is -3.2m. This means that the weight is 3.2m to the left of the pivot, since the pivot is taken as the origin for the purpose of calculating moments.

What is the KE of a 0.5 kg puffin flying at 22 m/s?

Answers

Important Formulas:
[tex]KE=.5mv^2[/tex]

Kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2

__________________________________________________________

Given:

[tex]m=0.5kg[/tex]

[tex]v=22m/s[/tex]

[tex]KE=?[/tex]

__________________________________________________________

Finding kinetic energy:

[tex]KE=.5mv^2[/tex]

[tex]KE=.5(0.5)(22)^2[/tex]

__________________________________________________________

[tex]\fbox{KE = 121 Joules}[/tex]

The kinetic energy of Flying pluff is 121 KJ.

What is Kinetic energy?

The energy that an object has as a result of motion is known as kinetic energy.  It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The body exerts the same amount of effort when slowing down from its current pace to a condition of rest.

Formally, a kinetic energy is any term that includes a derivative with respect to time in the Lagrangian of a system. According to classical physics, an object with mass m moving at a speed of v has kinetic energy equal to mv2.

Therefore, The kinetic energy of Flying pluff is 121 KJ.

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You have seen how large Jupiter would be if the Sun were a 1 meter sphere. Using the same scale, how large would the other planets be

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After seeing how big Jupiter is if the Sun were just a sphere measuring one meter in diameter. If somehow the solar is 1,391,000,000 meters diameter, so its diameter, if it had been a sphere, would be 7.2 × 10⁻¹⁰.

Describe planet.

Celestial bodies that fit the following descriptions are considered planets: It has cleansed the space around and within its orbit because (a) it is orbiting the Sun; (b) it possesses sufficient mass for its soul to outweigh rigid body forces; and (c) it has orbited the Sun.

How far is it?

An object's distance is equal to its overall directionless velocity. Depending of where it started or concluded, distance is really the amount of territory that an object has covered.

Mercury: 0.0035 meters

Venus: 0.0087 meters

Earth: 0.0092 meters

Mars: 0.0049 meters

Jupiter: 0.1028 meters

Saturn: 0.086 meters

Uranus: 0.0367 meters

Neptune: 0.0356 meters

Therefore, you have seen how large Jupiter would be if the Sun were a 1 meter sphere, the other planets distance are described above .

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After seeing how big Jupiter is if the Sun were just a sphere measuring one meter in diameter. If somehow the solar is 1,391,000,000 meters diameter, so its diameter, if it had been a sphere, would be 7.2 × 10⁻¹⁰.

Describe planet:

Planets are celestial bodies that match the following criteria: Because it is circling the Sun, has enough mass for it's own soul to override rigid body forces, and has orbited the Sun, it has cleaned the space in and around its orbit.

How far is it?

The distance between two objects is equal to their combined directionless velocity. Distance is basically the amount of ground that only an object has traveled, depending on where it began and ended.

Mercury: 0.0035 meters

Venus: 0.0087 meters

Earth: 0.0092 meters

Mars: 0.0049 meters

Jupiter: 0.1028 meters

Saturn: 0.086 meters

Uranus: 0.0367 meters

Neptune: 0.0356 meters

Therefore, you have seen how large Jupiter would be if the Sun were a 1 meter sphere, the other planets distance are described above .

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A car moves at 45 kilometers per hour.

Which option describes if the given value is speed or velocity?
speed, because there is a mention of time speed, because there is a mention of time

velocity, because there is a mention of time velocity, because there is a mention of time

velocity, because there is no specific directionvelocity, because there is no specific direction

speed, because there is no specific direction

Answers

Since this car moves at 45 kilometers per hour, an option which describes if the given value is speed or velocity include the following: D. speed, because there is no specific direction.

What is speed?

In Science, speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, speed is a scalar quantity because it has magnitude but no direction.

What is velocity?

In Science, velocity can be defined as the distance covered by an object per unit of time in a specific direction. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction.

In this context, we can reasonably infer and logically deduce that a car that moves at 45 kilometers per hour describes speed rather than velocity, because there is no specific direction mentioned.

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Since no direction is specified, the correct answer is the last option which is speed, because there is no specific direction

Difference Between Speed and Velocity

Speed is a scalar quantity. That is, it has only magnitude but no direction. While velocity is a vector quantity. That is, it has both magnitude and direction.

If a car moves at 45 kilometers per hour, only the car magnitude is given but no direction.

The option that describes if the given value is speed or velocity is speed, because there is no specific direction

Therefore, the correct option is speed, because there is no specific direction.

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What are the most common mutations in SCID?

Answers

A mutation in the interleukin 2 receptor gamma (IL2RG) gene, which makes the common gamma chain subunit, a part of multiple IL receptors, causes X-linked SCID. JAK3 is a crucial signaling molecule that is activated by IL2RG. SCID can also be brought on by a JAK3 chromosome 19 mutation.

Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.

The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients. According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized.

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3. Calculate the mass in the following scenarios (g-9.81 N/kg):
a) 1000 J and 10 m
b) 1250 J and 1 m
d) 1550 J and 0.02 m
e) 8900 J and 215 m
g) 98 J and 59 kg
h) 750 J and 0.75 m
c) 1.25 kJ and 90 m
f) 90 J and 1250 m
i) 5 kJ and 980 m

Answers

Hello there!

Formula: A = F * S = mg * S

So m = A/gS

a) m = 1000 J/(9.81 N/kg * 10 m) ≈ 10.194 kg

b) m = 1250 J/(9.81 N/kg * 1 m) ≈ 127.41 kg

d) m = 1000 J/(9.81 N/kg * 10 m) ≈ 7900.1 kg

e) m = 8900 J/(9.81 N/kg * 215 m) ≈ 4.22 kg

g) m = 98 J/(9.81 N/kg * 59m) ≈ 0.17 kg

h) m = 750 J/(9.81 N/kg * 0.75 m) ≈ 101.94 kg

c) m = 1.25 kJ/(9.81 N/kg * 90 m) = 1250 J/(9.81 N/kg * 90 m) ≈ 1.42 kg

f) m = 90 J/(9.81 N/kg * 1250 m) ≈ 0.007339 kg = 7.339 g

i) m = 5 kJ/(9.81 N/kg * 980 m) = 5000 J/(9.81 N/kg * 980 m) ≈ 0.52 kg

Write the equation of the line that represents the relationship between the two relative temperature scales degrees Fahrenheit and degrees Celsius. The information below is useful.Water freezes at (0 Celcius degrees, 32 Farenheit degrees)
Water boils at (100 Celcius degrees, 212 Farenheit degrees)

Answers

Celsius (C) scale to its Fahrenheit (F) relation is [tex]F = \frac{9}{5} C + 32[/tex].

The degree Celsius is a temperature unit on the Celsius scale, which is one of two temperature scales employed by the International System of Units (SI) alongside the Kelvin scale. The degree Celsius (symbol: °C) can refer to a certain temperature on the Celsius scale or a unit used to represent the difference or range between two temperatures. It is named after Anders Celsius (1701-1744), a Swedish astronomer who invented a comparable temperature scale in 1742. The measurement was previously known as centigrade, from the Latin centum, which means 100, and gradus, which represents steps, until being changed in 1948 to honour Anders Celsius.

The Fahrenheit scale is a temperature scale that was proposed by scientist Daniel Gabriel Fahrenheit in 1724. The degree Fahrenheit is the unit of measurement. Fahrenheit temperature scale, based on the freezing point of water at 32° and the boiling point of water at 212°, with the distance between the two split into 180 equal parts.

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1. An interstellar spacecraft, far from the influence of any stars or planets, is moving at high speed under the influence of fusion rockets when the engines malfunction and stop. The spacecraft will (A) immediately stop, throwing all of the occupants to the front of the craft. (B) begin slowing down, eventually coming to a rest in the cold emptiness of space. (C) keep moving at constant speed for a while, but then begin to slow down. (D) keep moving forever at the same speed.

Answers

Using Newton's 1st law of motion. In the absence of external force, the isolated object maintains its condition of uniform motion. Thus, the spaceship keeps its constant speed throughout all of time. Option D is correct.

Newton's First Law: Inertia

According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or even in uniform motion along a straight line. Inertia is the propensity to maintain balance in a condition of motion.

What does it mean to be inert?

The word "inertia" is derived from the Latin word iners, which meaning idle or sluggish. Inertia is the name for any physical object's opposition to a velocity change. Changes in the item's motion's direction or speed fall under this category.

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A ball is thrown upward from the ground with an initial velocity of 2.13 m s-1. How long does the ball take (in millisecond, ms) to reach the maximum height

Answers

The time it takes for the ball to reach its maximum height is 745 milliseconds.

What is time?

Time is defined as a scalar quantity that describes the progression of events in the universe. It is often considered to be the fourth dimension of spacetime, along with the three dimensions of space. Time is closely related to the concepts of causality, or the relationship between cause and effect, and is considered to be a fundamental aspect of the physical universe.

To find the time it takes for the ball to reach its maximum height, we need to use the equation:

1/2 * a * t^2 + v * t + d = 0

where a is the acceleration due to gravity (-9.8 m/s^2), t is the time, v is the initial velocity (2.13 m/s), and d is the initial displacement (0 m, since the ball is thrown upward from the ground).

We know that the ball is thrown upward and reaches its maximum height, so it is subject to a constant acceleration due to gravity in the downward direction. Therefore, the acceleration is -9.8 m/s^2.

The time to reach the maximum height can be found by solving the above equation for t.

t = sqrt(-2*d/(a+v))

t = sqrt(-2*0/(-9.8+2.13))

t = sqrt(2*2.13/(9.8-2.13))

t = sqrt(4.26/7.67)

t = sqrt(0.555)

t = 0.745s

To get the time in milliseconds:

t = 0.745s * 1000ms/s = 745 ms

Therefore, the time it takes for the ball to reach its maximum height is 745 milliseconds.

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A baseball has a momentum of 6.0kg*(m)/(s) south and a mass of 0.15kg. What is the baseball's velocity?

Answers

A baseball weighs 0.15kg and has a south momentum of 6.0kg m/s. The speed of the baseball was (v) = 40 m/s south.

It's a physical magnitude that measures the product of the mass by the velocity of a particle. Its units in the International System is kg. m/s and the formula is

p = mv

where

m is the mass of the object

v is its velocity

In this problem, we know:

p = 6.0 kg m/s is the momentum of the baseball

m = 0.15 kg is its mass

Therefore, we can re-arrange the equation to find the baseball's velocity:

v = p/m

v = 6.0/0.15

v = 40  m/s south

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Could Aliens 65 Million Light Years Away from Earth See Dinosaurs Alive? If aliens can see the dinosaurs, what problems might there be? If aliens couldn’t see the dinosaurs, why not?

Answers

Answer:Now this question can go ways

Explanation:

1: YES= Because they have super advanced technology and the aliens could fly to earth steal our resources and then experiment on the dinosaurs.

2:NO they did not have enough tech yet to support that much length and they just never look or find earth

ME PERSONALLY I WOULD CHOOSE 1 but, up to you

a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?

Answers

The mass of the car that was at rest is 4800kg.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

What is momentum?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

m= 3600kg

Vi= 21.0m/s

Vf = 9.0m/s

conservation of momentum

mVi= (m+M) Vf

mass of rest car M = (Vi-Vf )m/Vf

M = (21.0 m/s - 9.0m/s)* 3600 kg/ 9.0m/s

M= 4800kg

Therefore, the mass of the car that was at rest is 4800kg.

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A billiard ball moves with 5 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
3 kg⋅m/s
4 kg⋅m/s
5 kg⋅m/s
6 kg⋅m/s

Answers

The momentum of the billiard balls after the collision is 3 Kgm/s.

What is Momentum?

Simply multiplying the mass of an object by its velocity results in momentum. Additionally, because momentum has both magnitude and direction, it qualifies as a vector quantity.

The formula provides momentum in mathematics;

The other pool balls' velocities would be zero (0) m/s because they were at rest (not experiencing any motion). If we substitute the values, we get: Total forward motion is 3 kg/s.

As a result, the billiard balls' post-collision momentum is 3 Kgm/s.

Therefore, The momentum of the billiard balls after the collision is 3 Kgm/s.

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What environmental factor can influence natural selection and decrease genetic diversity?

Answers

The genetic and chemical variety of plant populations is influenced by environmental factors such as soil nutrients, temperature, water availability, and light intensity.

How may the environment impact genetic diversity?

Sometimes a gene's DNA sequence or degree of activity is altered by the environment. Both of these effects have the capacity to change the proteins that a gene generates, which then affects traits. Some harmful environmental factors can change the nucleotide sequence of a gene. UV rays, for example, can harm DNA strands.

How is natural selection impacted by environmental factors?

Successful competitors have a higher chance of surviving. Individual creatures with specific qualities are more likely to survive under specific environmental conditions than those without these traits.

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udora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack

Answers

Eudora spent 0.5 hours from home to library and 1.5 hours from library to school.

Given that,

Average speed from home to library S₁ = 12 km/h

Average speed from library to school S₂ = 76 km/h

Total distance = 120 km

Time = 2 hrs

Let the time spent from home to library  be x. So, from library to school will be = 2 - x

S₁ = 12 km/h

Time spent from home to library T₁ = x

S₂ = 76 km/h

Time spent from library to school T₂ = 2 - x

Distance can be calculated as, D₁ = S₁ T₁ = 12 x

D₂ = S₂ T₂ = 76(2 - x) = 152 - 76 x

As, D₁ + D₂ = 120

12 x + 152 - 76 x = 120

-64 x = -32

x = 0.5

So, T₁ = 0.5 hrs

T₂ = 2 - 0.5 = 1.5 hrs

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I really don’t get it so if someone could help me that would be great

Answers

Answer:

Explanation:

First establish the POSITIVE direction.  We'll say to the RIGHT is positive, and UP is positive.  All you have to do is add forces in the positive direction and subtract forces in the negative direction.  If your answer is positive, the net force is to the right or up;  if your answer is negative, the net force is to the left or down.

Here are your answers:

25-15-15 = -5N left

84-60-10 = 14N up

75-60-2 = 13N right

25+25-25 -15 = 10N right

44+44-100= -12N down

67-76 = 9N right

The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of __________.

Answers

The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of thousands of kilometers.

Which of the aforementioned tide-related claims is true?

Complete Response.The tides are caused by the sun and moon's tremendous gravitational pulls on the surface of the planet, which is the right answer.

Which of the following is untrue regarding tides' fundamentals?

Response and Justification:Tides are not primarily caused by the gravitational influence of the sun, as is commonly believed.In reality, the Moon's gravitational pull is what mostly causes tides.

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Suppose a radio message is sent home by astronauts in a spaceship approaching Mars at a distance of from Earth. How long (in minutes) will it take for the message to travel from the spaceship to Earth

Answers

A radio message is sent home by astronauts in a spaceship approaching Mars at a distance of from Earth.

A contact from Mars travels [between 3 and 22] minutes at light speed to reach Earth. Relativity contributes to the fact that the distance between Earth and Mars is 1.26 seconds longer.

A Mars year is roughly equivalent to two Earth years because of Mars' nearly two-fold longer orbital period than the Earth's. Earth and Mars are 57.6 million kilometers (35.8 million miles) from one another, while 401 million kilometers separate them at their farthest point (249 million mi).

The sole means of contact between Earth and Mars are radio and messenger. A courier will undoubtedly require a lot of time. We can determine how long it will take a radio message to travel between the two planets since radio waves travel at the speed of light (299,792 km/s; 186,282 mi/s). When the two planets are at their closest, the one-way voyage takes the fewest amount of time—3.2 minutes.

The time required for a one-way trip is 22.3 minutes when they are the furthest apart. A round-trip message will take between 6.4 and 44.6 minutes to send and receive. Of course, receiving an answer will take the same amount of time in each situation.

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What pressure, in pascals, can you create by exerting a force of 480 N with your tooth on an area of 0.95 mm2

Answers

According to the given statement The pressure exerted by the tooth is 506,315.78 Pa.

What is pressure?

Pressure is a measure of the force exerted on a surface per unit area. It is a scalar quantity and is measured in units of force per unit area, such as pascals (Pa), pounds per square inch (psi), or atmospheres (atm).

It can be calculated using the formula:

Pressure (Pa) = Force (N) / Area (m²)

Given that the force exerted is 480 N and the area of contact with the tooth is 0.95 mm^2, we can use the formula to find the pressure exerted:

Pressure (Pa) = 480 N / (0.95 x 10⁻³ m²)

To convert mm² to m², we divide by 10⁶

Pressure (Pa) = 480 N / (0.95 x 10⁻³ m²) = 506,315.78 Pa

Hence, the pressure exerted by the tooth is approximately 506,315.78 Pa.

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20 points! I was thinking B.) Scatter plot but want to check.

A student collected data about the speed of an object over time.

Which type of graph should the student use to represent the data?

Responses

circle graph
scatterplot

histogram

bar graph

Answers

You would definitely be using a scatter plot to measure the speed of an object over time. You will never see a velocity vs time graph as anything other than that. The other options are more the type of graphs you will see in studies or statistic classes.

We can best understand how a diver is able to control his rate of rotation while in the air (and thus enter the water in a vertical position) by observing that while in the air
A) his linear momentum is constant.
B) his potential energy is constant.
C) his kinetic energy is constant.
D) his angular momentum is constant.
E) his total energy is constant.

Answers

A diver can regulate his rate of rotation and reach the water in a vertical position because his angular momentum stays constant while he is in the air. This information makes it easier for us to comprehend how this is possible.

As a result, Option D is accurate.

The rotating counterpart of linear momentum in physics is called angular momentum. Given that the total angular momentum is conserved, or remains constant in a closed system, it is an important physical quantity. By dividing the rotational inertia of an item by the angular velocity, one may get its angular momentum. The angular velocity of an item is used to calculate its rotational speed. An object's rotational inertia is what makes turning it challenging. On an ice rink or in an office, someone spinning

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Select the correct answer. if a running system has a total change in the heat of 315 joules, and it is running at a temperature of 350 k, what is the entropy?
a. 1.54 joules/kelvin
b. 0.847 joules/kelvin
c. 1.22 joules/kelvin
d. 0.900 joules/kelvin e. 0.762 joules/kelvin

Answers

If a running system has a total change in the heat of 315 joules, and it is running at a temperature of 350 k, the entropy will be e. 0.762 joules/kelvin.

Entropy is essential for understanding the behavior of many physical systems, such as in thermodynamics, statistical mechanics, and thermochemistry.

Entropy can be used to analyze the efficiency of a system, as well as its stability and predictability.

This can be calculated by using the formula  S = ΔQ/T, where S is entropy, ΔQ is the total change in heat and T is temperature. In this case ΔQ = 315 Joules and T = 350K.

Plugging these values into the equation gives us S = 315/350, which equals 0.762 joules/kelvin. Hence, option e is correct.

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A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 79.0-kg water-skier has an initial speed of 5.6 m/s. Later, the speed increases to 10.8 m/s. Determine the work done by the net external force acting on the skier.

Answers

The work done by the net external force acting on the skier is 3368.56 J.

What exactly is a physics "work done"?

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

What is a work unit and a SI unit of work?

The joule is the SI unit of labor (J). It is described as the work accomplished over a one-meter distance by a force of one newton.

It is given that,

Mass of the water skier, m = 79.0 kg

Initial speed of the water skier, u = 5.6  m/s

Final speed of the skier, v = 10.8 m/s

Now, we calculate work done by using work energy theorem,

W = ΔE

[tex]W=\frac{1}{2}m (v^2-u^2)[/tex]

[tex]W=\frac{1}{2} 79.0 kg (10.8^2-5.6^2)[/tex]

[tex]W=3368.56J[/tex]

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