Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.4 m from the center. The carousel takes 4.2 s to make each complete revolution.
(a) What is Mary's angular speed M and tangential speed vM?
M = rev/s
vM = m/s
(b) What is Alex's angular speed A and tangential speed vA?
A = rev/s
vA = m/s
Answers
Mary and her younger brother Alex decide to ride the carousel at the State Fair, Mary's and Alex's angular speed M and tangential speed vM is mathematically given as
Mary's and Alex's angular speed=1.43
Tangential speed mary=3.22 m/s
Tangential speed alex =2.260m/s
What is Mary's and Alex's angular speed M and tangential speed vM?Generally, the equation for angular speed is mathematically given as
\(w=2\pi /T\\\\Therefore\\\\w=2\pi/3.9\)
w = 1.61 rev/see 3.9
Centripetal acc mary = v^2/r
Centripetal acc mary = w^2r
Centripetal acc mary = w^2x 2m
Centripetal acc. of Alex = w²x L.u
Therefore
\(\frac{(ac) mary }{(ac) plex}= 1.43\)
Hence
tang. speed V=Wr
tang. speed of mary = 1.61x2 = 3.22 m/s
tang. speed of Alex: 1.61X1·4 =2.260m/s
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Related Questions
Two students were climbing stairs at school. Student 1 has a weight of 700 N. Student 2 has a weight of 650 N. How much power would each student have if each took 6 s to climb a 4 m tall flight of stairs?
Student 1 would have 4200 W, and Student 2 would have 3900 W of power.
Student 1 would have 116 W, and Student 2 would have 108 W of power.
Student 1 would have 2800 W, and Student 2 would have 2600 W of power.
Student 1 would have 467 W, and Student 2 would have 433 W of power.
Answers
Student 1 would have a power 467 W and student 2 would have a power of 433 W. The correct option is the fourth option - Student 1 would have 467 W, and Student 2 would have 433 W of power.
From the question,
We are to calculate the power each student would have to climb the flight of stairs.
Power can be calculated using the formula
\(P = \frac{F \times d}{t}\)
Where
P is Power
F is the force
d is the distance
and t is the time
NOTE: The weight of the students represent the force
For student 1F = 700 N
d = 4 m
t = 6 s
∴ \(P = \frac{700 \times 4}{6}\)
P = 467 W
For student 2
F = 650 N
d = 4 m
t = 6 s
∴ \(P = \frac{650 \times 4}{6}\)
P = 433 W
Hence, Student 1 would have a power 467 W and student 2 would have a power of 433 W. The correct option is the fourth option - Student 1 would have 467 W, and Student 2 would have 433 W of power.
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What spectacles are required for reading purposes by a person whose near point is 2.0m
Answers
Answer:Convex lens spectacles is required for reading purpose..
Explanation:
I don't say you have to mark my ans as brainliest but if it has really helped you please don't forget to thank me...
A beam of electrons moves at velocity 4.6 ⋅105 m/s in the positive x direction through a uniform 2.8 T magnetic field pointing in the positive y direction. What direction does the magnetic force point? +x -x +y -y +z -z What is the magnitude of the force? F
Answers
Answer:
The magnetic force on a moving charged particle is given by the Lorentz force law, which states that the force is equal to the product of the particle's charge, its velocity, and the magnetic field. Since the magnetic field points in the positive y direction and the velocity of the electrons is in the positive x direction, the magnetic force on the electrons will point in the negative z direction (assuming we are using the right-hand rule to determine the direction of the force). The magnitude of the force can be found using the formula above: F = q * v * B, where q is the charge on the electrons, v is their velocity, and B is the strength of the magnetic field. The charge on an electron is -1.6 x 10^-19 C, so the magnitude of the force on the electrons will be: F = (-1.6 x 10^-19 C) * (4.6 x 105 m/s) * (2.8 T) = -2.19 x 10^-13 N.
On a warm summer day, a large mass of air (atmospheric pressure 1.01×105Pa) is heated by the ground to a temperature of 25.0 ∘C and then begins to rise through the cooler surrounding air. Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×104 Pa. Assume that air is an ideal gas, with γ=1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1 ∘C per 100 m of altitude, is called the dry adiabatic lapse rate.)
Answers
The temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.
Using the ideal gas law, we can write: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the absolute temperature. Since the mass of air is not changing, we can write: PV = constant.
Applying this to the situation where the air mass rises to a level where the pressure is 8.70×10⁴ Pa, we get:
(1.01×10⁵ Pa)×V = (nR/T1)×T1(8.70×10⁴ Pa)×V = (nR/T2)×T2Dividing the second equation by the first and using the fact that γ=Cp/Cv=1.40 for air, we get:
(T2/T1) = [(P2/P1)^(γ-1)/γ] = [(8.70×10⁴ Pa)/(1.01×10⁵ Pa)]^(1.4/1.4) = 0.813Solving for T2, we get:
T2 = T1×(P2/P1)^(γ-1)/γ = (25+273) K×0.813 ≈ 287.3 K ≈ 14.3°CThus, the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.
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A plank AB 3m long weighing 20kg and with center of gravity 2m from the end A carries a load of mass 10kg at the end A it rests on two supports CandD.
1, compute the values of the reaction forces R1 and R2 at C and D.
2, how far from D and on which side of it must a mass of 24kg be placed on the plank so as to make the reactions equal? What are their values.
3,without this 24kg what vertical force applied at B will just lift the plank clear of D? What is then the reaction at C.
Answers
The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.
1) R1 and R2 at C and D respectively are given by the equation R2 = (m1 + m2)g - R1, where m1 and m2 are the masses of the plank and load, respectively, and g is the acceleration due to gravity. Hence, substituting values R2 = (20 + 10) × 9.81 - R1 = 294.3 - R1. Now, taking moments about D, the following equation can be obtained: (20 × 1 + 10 × 3)g = R1 × 2 + R2 × 3 = 2R1 + 3 × (294.3 - R1) = 882.9 - R1, from which R1 = 343.7 N and R2 = 294.3 - 343.7 = -49.4 N. Since the support at D can only push the plank upwards and cannot pull it downwards, a negative value for R2 implies that the plank is actually being pulled downwards by an external force. Therefore, the value of R2 is not relevant. 2) The total weight of the plank and the load acting at the end A is 20 + 10 = 30 kg. For the reactions at C and D to be equal, the 24 kg mass must be placed at a distance x from D such that x × 30 = 24 × 6, from which x = 12/5 = 2.4 m. Since the 24 kg mass is being placed to the left of the plank, it will cause the reaction at C to decrease and that at D to increase. Thus, if R is the vertical force applied at B, then taking moments about D gives 20g × 1 - 10g × 3 + R × 6 = 0, from which R = 90 N. Taking moments about C gives R × 3 - 10g × 2 = 0, from which R = 66.3 N. 3) The vertical force applied at B that will just lift the plank clear of D is the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D. The weight of the plank and the load acting at the end A is 20 + 10 = 30 kg, and the weight of the part of the plank that is to the right of D is 24 × 1.6 = 38.4 kg. Therefore, the vertical force applied at B that will just lift the plank clear of D is (20 + 10 + 38.4)g = 686.4 N. The reaction at C is zero because the plank is not being supported there anymore. The reaction at D is the same as the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D, which is 20 + 10 + 24 × 1.6 = 61.4 kg.For more questions on acceleration
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PLEASE HELP
You are given a liquid mixture to identify as a colloid, suspension, or solution. When you shine light from a laser pointer you can see the beam spread out in the mixutre. Only some light passes through. What is the next test you should perform to determine the type of mixture?
Heat the mixture to evaporate the water.
Shine the light through again several times.
Wait to see if the particles settle out of the mixture.
Shake the mixture.
Answers
Waiting to see if the particles settle out of the mixture will be the next test to perform to determine the type of mixture.
What is a Mixture?This comprises of two or more substances which aren't chemically bonded together.
Suspension is a heterogeneous mixture that settle out of solution while colloid is a heterogeneous mixture that do not settle out of solution which is why option C was chosen.
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thanks for the points :D
Which refers to the sum of all the forces that act upon an object?
O absolute force
O net force
O positive force
Answers
Answer:
Net force refers to the sum of all the forces that act upon an object.
Explanation:
Josh was blowing bubbles through a straw into a glass of tap water. As Josh exhaled into the straw, he blew carbon dioxide gas into the water. The harder he blew, the more bubbles entered the water. The more bubbles, the ______________ the solution gas/water solution.
Responses
Answers
Josh was blowing bubbles through a straw into a glass of tap water. As Josh exhaled into the straw, he blew carbon dioxide gas into the water. The harder he blew, the more bubbles entered the water. The more bubbles, the more saturated the solution gas/water solution.
This is because the bubbles increase surface area of gas-water Interface, allowing for more gas molecules to come into contact with water and dissolve. As more gas dissolves, concentration of the gas in the water increases, and the solution becomes more saturated . This effect is known as Henry's law, which states that amount of gas that dissolves in a liquid is directly proportional to the partial pressure of the gas above liquid.
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The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?
Answers
It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.
2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.
3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.
4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.
5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.
6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".
7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).
8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).
9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.
10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.
11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).
12. Evaluating the expression, we find: t ≈ 546.
13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
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A long piece of wire with a mass of 0.100 kg and a total length of 4.00 m is used to make a square coil with a side of 0.100 m. The coil is hing along a horizontal side, carries a 3.80 A current, and is placed in a vertical magnetic field with a magnitude of 0.010 0 T.
a, Determine the angle that the plane of the coil makes with the vertical when the coil is in equilibrium. b Find the torque acting on the coil due to the magnetic force at equilibrium.
Answers
The torque is equal to zero since the coil is in equilibrium. As a result, will also equal zero, indicating that the coil's plane is parallel to the vertical direction at equilibrium.
Calculation-The current-carrying coil in a magnetic field is given by:
τ = μ * B * I * A * sin(θ)
where:
τ = torque (in Nm)
μ = magnetic moment of the coil (in Am^2)
B = magnetic field strength (in T)
I = current flowing through the coil (in A)
A = area of the coil (in m^2)
θ = angle between the plane of the coil and the magnetic field (in radians)
μ = N * A * I
N = number of turns of the coil
A = area of the coil (in m^2)
I = current flowing through the coil (in A)
the equations to calculate the angle θ:
m = 0.100 kg (mass of the wire)
L = 4.00 m (total length of the wire)
side length = 0.100 m
I = 3.80 A (current flowing through the coil)
B = 0.0100 T (magnetic field strength)
Calculations:
A = side length^2 * N = 0.100^2 * 1 = 0.0100 m^2
μ = N * A * I = 1 * 0.0100 * 3.80 = 0.0380 Am^2
Now we can rearrange the equation for torque to solve for θ:
θ = arcsin(τ / (μ * B * I * A))
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A man pulls a refrigerator using 48 N of force. The refrigerator accelerates 0.35 m/s2. What is the mass of the refrigerator?
Answers
Answer:
Explanation:
Formula
F = m * a
Givens
F = 48 N
a = 0.35 m/s^2
m = ??
Solution
F = m * a Substitute the givens
48 = m * 0.35 Divide by 0.35
48 / 0.35 = m *0.35/0.35
137.1 kg = mass
what is the force on a 1000 kg elevator that is falling freely at 9.8m/s2
Answers
Answer:
Since it is falling freely, the only force on it is its weight, w. w = m ⋅ g = 1000kg ⋅ 9.8m s2 = 9800N To draw a Free Body Diagram, draw an elevator cage (I am sure you would get lots of points for drawing it with intricate detail) with a downward force of 9800 N. I hope this helps,
Explanation:
Explanation:
❀ \( \underline {{\underline{ \text{Given} }}}: \)
Mass ( m ) = 1000 kgAcceleration ( a ) = 9.8 m/s²❀ \( \underline{ \underline{ \text{To \: find}}} : \)
Force ( F )❀ \( \underline{ \underline{ \text{Solution}}} : \)
\( \boxed{ \sf{force = mass \times acceleration}}\)
Plug the known values :
⟶\( \sf{1000 \times 9.8}\)
⟶ \( \sf{9800 \: N}\)
\( \red{\boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 9800 \: N}}}}\)
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The total acceleration of a swinging pendulum can have a linear and a centripetal component. Subsequently, someone argues that the TOTAL ACCELERATION of the pendulum can NEVER be ZERO, in that, when one component is zero the other is not.This statement is A) False B)True C)Can be true or false, depends on the pendulum and its length
Answers
Subsequently, someone argues that the TOTAL ACCELERATION of the pendulum can NEVER be ZERO, in that, when one component is zero the other is not is True statement. (B)
The total acceleration of a swinging pendulum can have both a linear and a centripetal component. Therefore, when one component is zero, the other is not, and the total acceleration of the pendulum can never be zero.
For example, when a pendulum is at its maximum height, the linear acceleration is zero, but the centripetal acceleration is at its maximum.
Similarly, when the pendulum is at its midpoint, the linear acceleration is at its maximum, and the centripetal acceleration is zero. Therefore, the total acceleration of the pendulum can never be zero.
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which charateristic of the observant function?
Answers
Answer:
All people with the observant trait are often a steadying force that always wants to get things done. Their energy is very elegant in the sense of working on real things in real time.
Explanation:
Hope I helped
Please help! Will give a lot of points
Answers
Chemical and Biological weathering.
Explanation:
Processes that break down and weaken earth minerals are known as weathering. Over time, this can lead to erosion, in which huge sections of rock and stone are carried away, changing landscapes. Physical weathering alters the material structure of rocks, while chemical weathering alters their chemical structure.
I’m not sure what the answers to these questions are for this sheet can u help?
Answers
Answer:
Explanation:
b. helmet is aerodynamic; and he is leaning down, which reduces his surface area
c. open parachute exposes more surface area to the air, which increases the drag
9. A and D will float because density is less than 1.0
When he pushes the object down, then lets it go, it bobs back up because of the upward force (upthrust) of the water acting on the object.
1. If the amplitude of a vibrating mass attached to the free end of an ideal spring is
25 cm, then the mass in one period travels 'a distance:
a) 1m
b) 0
c) 25m
Answers
The mass in one period travels 'a distance less than 25 cm which will be 0.
What is amplitude of a pendulum?
The amplitude of a pendulum is the maximum displacement of the pendulum.
If the maximum displacement of the pendulum is 25 cm, the mass in one period travels a distance less that 25 cm.
Thus, then the mass in one period travels 'a distance less than 25 cm which will be 0.
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What tool would you use for Volume
Answers
Answer:
Volumetric cylinders and volumetric flasks are used to measure volume of liquids contained in them. They are calibrated for volume included in them - this is indicated by the marking "IN". The liquid has accurate volume when it reaches the corresponding marking on the scale. Volume is usually indicated in mL. Mark me brainliest please
Compare and contrast, in detail, at least two types of pluralism. Do you think the United States is becoming more pluralistic? Why or why not? How do ethnic enclaves relate to pluralism in the US?
Answers
a. There are two main types of pluralism: cultural and political
b. Yes, the United States is becoming more pluralistic
c. Ethnic enclaves can be both a positive and negative aspect of pluralism in the US.
a. Pluralism refers to the coexistence of multiple cultures, religions, and ethnicities within a society. There are two main types of pluralism: cultural and political. Cultural pluralism emphasizes the preservation of distinct cultural traditions, while political pluralism emphasizes the equal representation of different groups within the political system.
Cultural pluralism is often associated with the idea of multiculturalism, which recognizes and celebrates the diversity of different cultures. This type of pluralism acknowledges the importance of cultural differences and encourages individuals to maintain and express their cultural identities. In contrast, political pluralism emphasizes the importance of equal representation of different groups within the political system. This can take the form of proportional representation in government or equal access to political power for different groups.
b. The United States is becoming more pluralistic, as the population becomes more diverse and the importance of multiculturalism and political pluralism is increasingly recognized. The country is home to many different ethnic and cultural groups, and these groups are increasingly visible in politics and society. This is evident in the increasing number of ethnic and cultural enclaves, which are areas where different ethnic groups live in close proximity to one another.
c. Ethnic enclaves can be both a positive and negative aspect of pluralism in the US. On the one hand, they allow individuals to maintain their cultural traditions and create supportive communities. On the other hand, they can also lead to segregation and exclusion, as different groups may be reluctant to interact with one another. In order to promote a positive form of pluralism, it is important to encourage interaction and understanding between different groups, while also respecting and celebrating their distinct cultural identities.
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Answer and I will give you brainiliest
PLZ
Answers
Answer:
Kinetic Energy!
Explanation:
Kinetic energy is energy in motion.
Answer:
Explanation:
The answer is kinetic energy.
PLEASE MARK ME BRAINLIEST!!!!!!!!!!!!!!!!the angular speed of an automobile engine is increased at a constant rate from 1300rev/min to 2000rev/min in 3s (a) what is its angular acceleration in revolutions per minute squared
Answers
Answer:
please find attached pdf
Explanation:
A Chinook salmon can jump out of water with a speed of 6.50 m/s . How far horizontally can a Chinook salmon travel through the air if it leaves the water with an initial angle of =30.0° with respect to the horizontal? (Let the horizontal direction the fish travels be in the + direction, and let the upward vertical direction be the + direction. Neglect any effects due to air resistance.)
Answers
Answer:
3.73m
Explanation:
What we are asked to find is the range covered by the fish. This is given by the following equation (1). Range can simply be defined as the horizontal distance covered by a body whose motion freely under gravity is in two dimensions. The motion of the fish is in two dimensions, the vertical dimension and the horizontal dimension.
\(R=\frac{u^2sin2\theta}{g}.........(1)\)
where u = 6.5m/s is the initial velocity, g is acceleration due to gravity which is taken as \(9.8m/s^2\) and \(\theta=30.0^o\).
Substituting these values into equation (1), we obtain the following;
\(R=\frac{6.5^2sin2(3)}{9.8}\\R=\frac{42.25sin60}{9.8}\\\\R=\frac{36.59}{9.8}\\R=3.73m\)
The range should be 3.73m.
Important information:A Chinook salmon can jump out of water with a speed of 6.50 m/s . The initial angle of =30.0°
The range refers to the horizontal distance i.e. covered by a body whose motion freely under gravity should be in two dimensions. It can be the vertical dimension and the horizontal dimension.
calculation of the range:\(= 6.5sin^2\div 9.8\\\\= 36.59 \div 9.8\)
= 3.73m
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Ancient peoples both feared and revered Solar and Lunar Eclipses as they happened so rarely. Explain the following about eclipses:
1. Why are SOLAR eclipses more rare then lunar eclipses.
2. Explain what must occur for a SOLAR eclipse to occur.
3. Explain what must occur for a LUNAR eclipse to occur.
Answers
Answer:
Lunar and solar eclipses occur with about equal frequency. Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse. As a result, you are more likely to see a lunar eclipse than a solar eclipse.
For a total eclipse to take place, the sun, moon and Earth must be in a direct line. The second type of solar eclipse is a partial solar eclipse. This happens when the sun, moon and Earth are not exactly lined up. The sun appears to have a dark shadow on only a small part of its surface.
For a lunar eclipse to occur, the Sun, Earth, and Moon must be roughly aligned in a line
Please answer the question
Answers
Answer:
D
Explanation:
He walked a shorter distance, she walked a longer distance but got that wing thingies
What allows two or more atoms to be held together? shared protons shared electrons shared energy shared neutrons
Answers
Answer:
try electrons i hope this helps!!
Explanation:
It is shared electrons.
The following information should be considered:
In the case when two or more atoms can be together at the time when they share electrons with each other.By sharing, they create a covalent bond and that way the atoms can be stable.learn more: https://brainly.com/question/2514933?referrer=searchResults
HELP CHECK ANSWERS ONLY 3 QUESTIONS:
1. If you took your weight first at sea level and then on top of a very tall mountain, you would find that your weight:
a. decreases
b. stays the same **
c. increases
2. Smaller masses experience more gravitational force than bigger masses.
A. True
B. False **
3. An asteroid moves away from our planet. What happens to the gravitational attraction between it and the earth as it zooms away?
a. It decreases. **
b. It increases.
c. It does not change.
d. It becomes zero.
Answers
Answer:
answer 1 is A, Answer 2 is A, Answer 3 is c
When an asteroid moves away from our planet the gravitational attraction between it and the earth as it zooms away increases.
What is gravitational force?The term gravitational force is a force that is attractive and acts between any two masses on the earth surface.
If you took your weight first at sea level and then on top of a very tall mountain, you would find that your weight increases.
It is false that Smaller masses experience more gravitational force than bigger masses.
When an asteroid moves away from our planet the gravitational attraction between it and the earth as it zooms away increases.
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help please i’m stuck
Answers
Answer:
no entiendo el inglés soryyy
What are patients most likely to prepare as part of their right to make decisions about end of life care under federal legislation
Answers
Jack is going skiing. Does he need high or low friction between his skis and the snow?
Answers
low friction between his skis and the snow.
The lower the friction, the less of a force slowing him down. He will be able to go faster with less friction.
The first charged object is exerting a force on the second charged object. Is the second charged object necessarily exerting a forcer on the first?
Answers
Answer:
Explanation:
Of course because it's Newton's Law that if body A exerts force on body B, then body B will exert equal but opposite force on body A.
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The first charged object is exerting a force on the second charged object. The second charged object necessarily exerting a force on the first is correct.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Newton's third law states that for every action (force) in nature there is an equal and opposite reaction, from that we can understand when force is exerted on first charged object is exerting a force on the second charged object. The second charged object necessarily exerting a force on the first.
The first charged object is exerting a force on the second charged object. The second charged object necessarily exerting a force on the first is correct.
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