NEED ANSWER ASAP!!! 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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Related Questions
The world record for pole vaulting is 6.15 m. If the pole vaulter’s gravitational potential is 4942 J, what is his mass?
Answers
From the calculations, the mass of the pole is 82 Kg.
What is potential energy?The term potential energy has to do with the energy that is possessed by a body by virtue of its position.
Given that;
height = 6.15 m
PE = 4942 J
mass = ??
g = 9.8 m/s^2
Now
PE = mgh
m = PE/gh
m = 4942 J/9.8 m/s^2 * 6.15 m
m = 82 Kg
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What celestial body is used to measure siderial day?
Answers
Point of Aries is a celestial body which can be used to measure sidereal day.
What is a sidereal day?A sidereal day can be defined as an amount of time that it takes planet Earth to rotate once about its axis relative to the stars, so that distant stars appear within the same position in the sky.
Based on astronomical information and records, Point of Aries is a celestial body which can be used to measure sidereal day because it's the amount of time between two (2) consecutive transits of the First Point of Aries.
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A cylindrical metal bar of diameter 14cm and length 484 cm is to be melted to make a metalic cube.if one side of the box is 220mm,how many boxes were produced?
Answers
The number of boxes were produced willl be 7.57.n stands for the no of boxes.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the cylindrical metal bar;
V₁=πr²h
V₁=3.4 × 7² × 484 cm
V₁=80,634.4 cm³
The one side of the box is,220mm(22 cm)
V₂ = a³
V₂ = (22)³
V₂ = 10,648 cm³
The no of boxes is found as;
n = V₁/V₂
n=80,634.4 cm³/10,648 cm³
n=7.57
Hence, the number of boxes were produced willl be 7.57
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3. Magnetite is
a) Natural magnet
(b)Artificial magnet
(c) Not a magnet
Answers
[tex] \huge \bold \red {Aɴswᴇʀ}[/tex]
Magnetite is a Natural magnet
vector a→ has a scalar components ax=35 m/s and ay=15 m/s. vector b→ has a scalar components bx=−22 m/s and by=18 m/s. determine the scalar components of vector c→=a→−b→
Answers
The scalar components of vector c are:
cx = 57 m/scy = -3 m/s.How to find the difference between the vectors?
Here we have the vectors:
a = <35m/s, 15m/s>
b = <-22 m/s, 18 m/s>
And we want to find the difference, which is given by:
c = a - b = <35m/s, 15m/s> - <-22 m/s, 18 m/s>
The difference is computed component by component, so we get:
c = <35m/s + 22m/s, 15m/s - 18m/s>
c = <57 m/s, -3 m/s>
Then the scalar components of vector c are:
cx = 57 m/s
cy = -3 m/s.
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one of the most important features that must be explained by models during the formation of the galaxy is the ____.
Answers
One of the most important features that must be explained by models during the formation of the galaxy is the difference in age and metallicity of stars.
What is Metallicity of stars?This is defined as the proportion of heavy elements present in a star and they are usually heavier than hydrogen or helium.
These elements and the age of stars have to be put into consideration when discussing the formation of the galaxy.
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The sun is considered a G2V star. What does the "V" indicate in this designation? Question 21 options: That the sun is a main sequence star. That the sun has an absolute magnitude of 5.0. That the sun is a member of the fifth generation of stars in the universe. That the sun is a star visible from Earth with the unaided eye.
Answers
The function of V" in this designation is A. That the sun is a main sequence star
What is the sun?It should be noted that the sun is the star at the center of the solar system.
In this case, the function of V" in this designation is that the sun is a main sequence star
In conclusion, the correct option is A.
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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
Answers
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
5x=37.15
x=3×37.15/5
x=22.29 gm
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
Different between
atmospheric presure and liquid
pressure
Answers
Explanation:
An atmosphere (atm) is a unit of measurement equal to the average air pressure at sea level but liquid pressure is exerted on the surface of an object in a liquid.
And they also differ in formulas. We can calculate atmospheric pressure in two ways. First we can get the atmospheric pressure by an instrument called barometer. And the second one is by usin this formula, atmospheric pressure = density of mercury x acceleration due to gravity x height of column of mercury. But this equation will only work if the atmospheric pressure is being measured by mercury.
But the formula for liquid pressure is defferent and the instrument used to measure the liquid pressure is also defferent.
The instrument used to measure the liquid pressure is pressure gauge. And the formula for the liquid pressure is density x height x gravity. Please give me a like and thank me.
please.
If an object is neutrally buoyant (does not sink or float) in fresh water, the same object placed into salt water would
Answers
If an object is neutrally buoyant (does not sink or float) in fresh water, the same object placed into salt water would float.
What is Buoyancy?Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.
In this case, we have salt water that is denser, allowing almost no objects to sink, so the buoyant force is greater that acts on the object.
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Would young rocks be found near a volcano?
Answers
Answer:
Yes, young rocks typically occur around volcanoes since they are closer to the crate, thus the magma is beginning to cool down to form rocks or it has recently cooled down.
Explanation:
yes
new forms of extrusive igneous rocks will be created as lava cooling and hardening will create new and young rocks
In a solar system, two comets pass near the sun, which is located at the origin. comet e is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and comet h is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units. part a: what are the vertices for the path of comet e
Answers
The vertices of the path of the comet e are (-12,0) and (+12,0) as it is moving an elliptical path.
Given, that the Sun is located at the origin.
Comet e is modeled by
((y + 16)²)/400 + (x²)/144 = 1
This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.
Comparing with the Standard equation of ellipse:
((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1
whose, Centre is (h,k) and Vertex is (h±a, 0)
On Comparing Centre (h, k), h= 0 and k = -16 &
a²=144
a = 12
and,
b²=400
b=20
So, Centre (0, -16),
Vertex (-12,0) and (+12,0)
So, the vertices of the path of the comet e are (-12,0) and (+12,0).
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A 3-V adaptor using a half-wave rectifier must supply a current of 0.5 A with a max- imum ripple of 300 mV. For a frequency of 60 Hz, compute the minimum required smoothing capacitor.
Answers
The minimum required smoothing capacitor is determined as 27.8 mF.
Minimum required smoothing capacitor
The minimum required smoothing capacitor is calculated as follows;
Ripple amplitude is given as;
[tex]V_R = \frac{I_L}{C_1f_{in}}[/tex]
where;
VR is maximum ripple voltagef is frequencyC1 is smoothing capacitorI is current[tex]C_1 = \frac{I_L}{V_Rf_{in}}\\\\C_1 = \frac{(0.5)}{(300 \times 10^{-3})(60)} \\\\C_1 = 0.0278 \ F\\\\C_1 = 27.8 \ mF[/tex]
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It is a state of matter wherein particles are tightly packed, but are far enough apart to slide over one another.
A. Gas
B. Liquid
C. Plasma
D. Solid
please help me
Answers
Particles that are closely packed but spaced apart enough to move over one another are called plasma. Option C is correct.
What is the plasma state of matter?Plasma is a state of matter wherein particles are tightly packed but are far enough apart to slide over one another.
The following conditions are followed by the plasma state.
Hence, option C is correct.
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The orbits of all the planets in the solar system are slightly elliptical with the exception of _______.
Answers
Except for Pluto, all of the planets in the solar system have slightly elliptical orbits.
What distinguishes Pluto from other planets in terms of its orbit?Pluto, a dwarf planet, the orbit is highly elliptical, with an eccentricity of 0.25, and it travels between 4.4 and 7.4 109 kilometers (2.7-4.6 109 miles) from the Sun on average. As a result, Pluto's orbit occasionally brings it closer to the Sun than Neptune, which implies that sometimes Pluto is much closer to the Sun than other times.
Pluto orbits the Sun at an angle of 17 degrees. This indicates that Pluto occasionally orbits above the other planets and occasionally orbits below them.
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Which vector is the sum of the vectors shown below?
A.
B.
C.
D.
Answers
Answer:
B.
Explanation:
The addition of vectors is commutative, so adding in any order will lead to the same result; just draw a straight line from the starting point to the tip of the final vector.
a bicycle rider pedals towards a hill at a speed of 7.5w/s. the combined mass of the bicycle and the rider is 75.0kg the cycle and rider roll up a hill without peddling . at what height will the cycle cone to rest (use g=10N/1g)
Answers
Answer:
2.8125 meters
Explanation:
I will assume 7.5 m/s
When the Kinetic Energy is entirely converted to Potential energy the max height will have been reached
KE = PE
1/2 m v^2 = mgh divide by m
1/2 v^2 = gh looking for h so divide both sides by
1/2 v^2 / g = h sub in the values using g = 10 m/s^2
1/2 ( 7.5 )^2 / 10 = 2.8125 m
Which particle would have the longest de broglie wavelength traveling with the same velocity?.
Answers
The particle would have the longest De Broglie wavelength traveling with the same velocity, which has lesser frequency.
What is wavelength?
The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.
Wavelength λ = c/f
where c is the speed of light in vacuum = 3*10⁸ m/s
As, the wavelength and frequency are inversely related to each other. When the wavelength is longer, the frequency will be lesser to the same value of speed of wave.
Thus, the particle with less frequency has longest De Broglie wavelength.
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what is the volume in liters of 1.00 oz, given that 1 l=1.0567 qt and 1 qt=32 oz (exactly)?
Answers
Given that, 1 Liter equals 1.0567 quartz and 1 quartz equals 32 oz, the volume 1.00 oz equals 0.02957 L.
What is the volume in liters of 1.00 oz?Given that;
1 L = 1.0567 qt1 qt = 32 oz1.00 oz = x litersFirst, we convert 1.00 oz to qt
32 oz = 1 qt
1.00 oz = x
x = 1.00 / 32
x = 0.03125 qt
Now, we convert 0.03125 qt to liter
1.0567 qt = 1 L
0.03125 qt = x
x = 0.03125 / 1.0567
x = 0.02957 L
Given that, 1 Liter equals 1.0567 quartz and 1 quartz equals 32 oz, the volume 1.00 oz equals 0.02957 L.
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WHOEVER ANSWERS FIRST GETS BRAINLEST
Match the scenario to the term it represents.
Laura develops programs that flag suspicious network activity.
Greg calibrates electronic scales.
Tim ensures the output of a process remains in a defined range.
matching words-
communications
manufactoring
healthcare
Answers
Communications: Laura develops programs that flag suspicious network activity.
What is communication?Communication involves the transfer of information from one person (sender) to another (recipient), especially through the use of semiotics, symbols, signs and network devices.
How to match the scenarios?Communications: Laura develops programs that flag suspicious network activity.Healthcare: Greg calibrates electronic scales.Manufacturing: Tim ensures the output of a process remains in a defined range.Read more on communication here: https://brainly.com/question/26152499
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What words experiences in Niels Bohrs life That led to his interest in science and the study of the atom
Answers
The words experiences in Niels Bohr's life that led to his interest in science and the study of the atom is he disliked writing essays and talented in mathematics.
What is atom?Atom is the smallest unit of the element. Different elements have different size atoms and same element have same size atoms.
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.
Thus, Physics interested him to further study for atom.
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A car of mass 750 kg accelerates away from traffic lights. At the end of the first 100 m it has reached a speed
of 12 m/s. During this time, its engine provides an average forward force of 780 N, and the average force of
friction on the car is 240 N.
a Calculate the work done on the car by the force of its engine.
b Calculate the work done on the car by the force of friction.
c Using ke. = mv2, calculate the increase in the car's kinetic energy at the end of the first 100 m.
d Explain whether your answers are consistent with the principle of conservation of energy.
Answers
the work done on the car by the force of its engine is 78,000 J.
" The work done on the car by the force of friction is 24,000 J.
Increasing the car's kinetic energy at the end of the first 100 m is 54,000J
a. Completed work = force x distance. Engine output = 780 N, that is,
780 N x 100 m = 78,000 J.
b. Completed work = force x distance. Friction force = 240 N, that is,
240 N x 100 m = 24,000 J.
c. Kinetic energy = 1 \ 2 x m x v2
= 1 \ 2 x 750 kg x 12 squared = 375 x 144 = 54,000 J.
How powerful is the engine of a car?Mainstream car and truck engines typically produce 100-400 pounds. -Torque feet. This torque is generated by the engine piston as it moves up and down on the engine crankshaft, causing the engine to rotate (or twist) continuously.
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The strength of a magnetic field around a wire carrying a current of 20 A is 0.004 T. What is the strength of the magnetic field if the current is changed to 40 A ?
Answers
Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T
What is the strength of the magnetic field if the current is changed to 40 A ?Given that;
First scenario
Strength of magnetic field B = 0.004TCurrent A = 20ASecond scenario
Strength of magnetic field B' = ?Current I' = 40AFirst, we determine the strength of the magnetic field.
B/I = B'/I'
0.004T/20A = B'/40A
B' = ( 0.004T × 40A ) / 20A
B' = 0.16AT / 20A
B' = 0.008T
Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T
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A proton moves in the negative x-direction through a uniform magnetic field in the negative y-direction what is the direction of the magnetic force acting on the proton?
out of the page
into the page
in the positive y-direction
in the negative y-direction
Answers
A proton travels through a constant magnetic field in the negative y-direction while moving in the negative x-direction. The proton will be subject to a magnetic pull that is directed into the page. Option B is correct.
What is the right-hand thumb rule?Hold a current-carrying conductor in your right hand with your thumb pointing in the direction of the current then wrap your fingers around the conductor and orient them in the direction of the magnetic field lines.
A proton travels through a constant magnetic field in the negative y-direction while moving in the negative x-direction.
The proton will be subject to a magnetic pull that is directed into the page.
Hence, option B is correct.
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Find the momentum of a body of mass 5kg moving with velocity of 4.5m/s
Answers
Momentum= mass × velocity
momentum= P
P= m×v
P= 5×4.5
P=22.5
I hope this helps.
2) A skier stands at rest and begins to ski downhill with an acceleration of 3.0 m/s² {downhill). What is
her displacement after 15.0 seconds?
Answers
Answer:
her displacement s=337.5m
Explanation:
check out the above attachment ☝️
Displacement after 15.0 seconds s= 337.5 m
What is acceleration?
The rate of change of velocity is called acceleration.
Acceleration. speed is the charge of the exchange of displacement. Acceleration is the charge of the exchange of speed. velocity is a vector quantity because it consists of each significance and direction. Acceleration is also a vector quantity as it's far just the fee of alternate of pace.
Acceleration of 3.0 m/s²
Time= 15.0 seconds
S= ut + 1/2 at²
S = 0+0.5*3*15*15
=337.5 m
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is vectors and motion in plane same?
Answers
Answer:
Plane Motion
Plane Motion One of the most common examples of motion in a plane is Projectile motion.
g A uniform meter stick has a 150 g rock suspended from the zero position and balances when a fulcrum is placed at the 25.0 cm position. What is the mass of the meter stick
Answers
The mass of the metre stick given the data from the question is 150 g
From the diagram (See attached photo)Clock wise moment = M × 25Anticlockwise moment = 150 × 25Mass of metre stick (M) =?How to determine the value of MClock wise moment = Anticlockwise moment
M × 25 = 150 × 25
M × 25 = 3750
Divide both sides by 25
M = 3750 / 25
M = 150 g
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What must be known to determine the direction of the magnetic force on a change? Check all that apply.
Answers
What we must know to determine the direction of the magnetic force on a charge are;
The type of the charge.The direction of the magnetic field.The velocity of the charge.How to find the direction of magnetic force?The magnetic force is the force of attraction or repulsion that emerges between electrically charged particles since of their movement.
From right hand rule, to determine the direction of the magnetic force on a charge, we must know;
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as resistors are added in series
Answers
Answer:
decrease,inverse
Explanation:
........................
