Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. You want to find out how fast she must swing the bucket to keep the glass from falling out.
a. Draw the free-body diagram for the glass when it is at the top of the circle.
b. What is the equation for the net force on the glass at the top of the circle in terms of w, FN, m, v, and r?
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from happening?
d. The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?
Answers
a. The free-body diagram for the glass when it is at the top of the circle is attached below.
b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N - mg x Vtop² /R =0
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.
d. The string will break if the tension on it is more than 100 N. The range of speeds can prevent the string from breaking is 3.83< Vtop<4.99 m/s
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.
a. The free body diagram of the bucket and glass is attached below.
b. Bucket will undergo centrifugal force
Fb = mVtop² /R
From the equilibrium of forces, we have
For bucket,
T +mb xg - N = mb x Vtop² /R..............(1)
For glass,
mg x g + N = mg x Vtop² /R..............(2)
Thus, this is the net force equation on the glass.
c. On adding both the equations. we have
T + (mb + mg) xg = (mb + mg) Vtop² /R
Substituting the values, T = 0 and from the question, we get
0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 3.83 m/s
Thus, the speed of spin to prevent glass from falling out is 3.83 m/s
d. The string will break if the tension on it is more than 100 N
100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 4.99 m/s
Thus, the range of velocity is 3.83< Vtop<4.99 m/s
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The pendulum have the least potential energy at the point C between point A and B because it is lower in height as compared to other points.
What is potential energy?Potential energy is the energy held by an object because of its position. If the object is present at a certain height, it has more potential energy as compared to object which is lower in height.
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Because of wave refraction, erosion along an irregular coastline is greatest in headlands.
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Refraction causes erosion along an irregular coastline to be greatest in headlands which is the area of land projected out toward the sea.
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If you push a 200 kg box with a horizontal force of 1,172 N and kinetic friction resists the motion with a force of 962 N, what is the resultant acceleration in m/s2
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Answer:
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What is a vector quantity?This is a which have both magnitude and direction. Example include:
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Propane (c3h8), a common fuel, reacts with oxygen to form carbon dioxide and water according to the equation below. c3h8 5o2 → 3co2 4h2o how many grams of oxygen are required to produce 37.15 g co2? 37.15 g co2 = g o2
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The amount of oxygen will be 22.29 gm required to produce 37.15 g co₂.
What is a chemical reaction?One or more compounds, known as reactants, are transformed into one or more distinct substances, known as products. Such a process is known as a chemical reaction.
Given reaction;
[tex]\rm C_3h_8 +5O_2 }\rightarrow 3CO_2 +4H_2O[/tex]
The quantity of oxygen is x and the quantity of carbon dioxide is y then the ratio of their composition is found as;
5x=3y
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Hence the amount of oxygen will be 22.29 gm
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Answer: 45.02 (g O2)
Explanation: The person above me is wrong...but this is the right answer on edge! Ik cuz i just did this assignment and got 100% Hope this helps :D
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Answer:
its Q
Explanation:
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Answer:The amount of current flowing
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Answer:
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Explanation:
Water waves transfer energy via oscillations of the water molecules, but the the water molecules themselves do not move along the wave.
This is why when the boy jumps into the water, his kinetic energy is transferred by the water molecules across the pool, but neither the boy nor the water particles move along with the wave.
B
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O placing the material in a magnetic field of opposite polarity
O placing the material near a strong magnet
O hitting the material
Mark this and return
Next
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Answer: 2, 3, and 5
Explanation:
If the current in each wire is the same, which wire produces the strongest magnetic field?.
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if a volume of air is warmed it expands due to increased translational kinetic energy as it expands it will start to cool.
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In this case, the higher the temperature, the greater the kinetic energy that acts on the molecules of this gas, so when the gas expands, these molecules find more space and collide less, which will cause the gas to cool.
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Answer:
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Answer:
Because the size of the star has expanded, the surface cools down and goes from white-hot to red-hot. Because the star is brighter, redder and physically larger than before, we dub these stars "red giants"
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Answer:
her displacement s=337.5m
Explanation:
check out the above attachment ☝️
Displacement after 15.0 seconds s= 337.5 m
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Acceleration of 3.0 m/s²
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Answer:
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Answer:
look below! :)
Explanation:
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a change of odor
a decrease in temperature
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The observation that most likely inspired Jenna to draw her conclusion was a change in odor.
Hence, option A is correct.
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Answer:
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Answer:
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Answers
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Thus, the magnitude of the unknown height of the projectile is determined as 16.1 m.
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Answer:
lubricant (decrease friction).
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use only when required.
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Answer:
ressistor
Explanation:
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A drop in temperature would most likely result in a decline in the rate of energy production in a fusion nuclear reactor.
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Neil Bohr loved talking, he had a disliking of writing essays. He was talented in mathematics. He then attracted to the sciences. Physics interested Neil and when he was a teenager, he started correcting the mistakes in his school's textbooks.
The contributions are present in the modern atomic model. They are: All matter consists of atoms. Atoms of the same element are the same in size and atoms of different elements are different. Atoms combine in whole-number ratios to form compounds.
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A solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum length of 12.0A. What is the total length required
Answers
The total length of the wire required is 63 m.
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Given is a solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum current of 12.0 A.
Radius, r = 1.4cm = 0.014 m
Length l = 40 cm = 0.4 m
If the current is I, then the magnetic field in solenoid is given by
B = μ₀ n I
By substituting the values, we get
0.027 = 4π x 10⁻⁷ x n x 0.4
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L = 2πr x N
where N = nl
Plug the values, we get
L = 2π x 0.014 x1792 x 0.4
L = 63 m
Thus, the total length of the wire is 63 m.
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Answer:
example of kinetic theory include brownian motion the random movement of the particles because the consolation with the air molecules and how gas is behave boiling and j l also this cyclone explain how temperature affects the
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Answers
In a longitudinal wave, the propagation of energy is in the direction of the motion, while in a transverse wave the propagation of energy is perpendicular to the direction of motion.
What is longitudinal wave and Transverse wave?Longitudinal wave is a wave which moves in the direction from where it was started. It has a compression (increased intensity) of the medium particles and a rarefaction ( reduced intensity).
Transverse wave is wave that travels perpendicular or at right angles to the direction from where it was started.
The main differences between longitudinal wave and Transverse wave are:
Transverse wave, the medium moves vertically up and down while in the longitudinal wave, the medium moves left to right.Transverse wave has a crest and a trough while the longitudinal waves have a compression and rarefaction.Transverse waves don't have a pressure variation , longitudinal waves have a pressure variation.Transverse waves can only be propagated in solids and on the surfaces of liquids, Longitudinal waves can be propagated in solids, liquids and gases.Transverse waves don't change in density throughout the medium, longitudinal waves have a change in density throughout the medium.Therefore,
The propagation of energy is in the direction of the motion, while in a transverse wave the propagation of energy is perpendicular to the direction of motion.
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