The pail’s minimum speed at the top of the vertical circle is 4.72 m/s.
The given parameters:
Mass of the water, m = 2000 g = 2 kgRadius of the circle, r = 1 mTension on the string, T = 25 NThe net force on the pail of water at the top of the vertical circle is calculated as follows;
[tex]T = ma - mg\\\\T = \frac{mv^2}{r} - mg\\\\T + mg = \frac{mv^2}{r} \\\\mv^2 = r(T + mg)\\\\v^2 = \frac{r(T + mg)}{m} \\\\v= \sqrt{\frac{r(T + mg)}{m}} \\\\v = \sqrt{\frac{1 (25\ + \ 2 \times 9.8)}{2}} \\\\v = 4.72 \ m/s[/tex]
Thus, the pail’s minimum speed at the top of the vertical circle is 4.72 m/s.
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The pail’s minimum speed at the top of the circle if no water is to spill out is; v = 4.722 m/s
We are given;
Mass of the pail of water; m = 2000 g = 2kg
Radius of the circle; r = 1 m
Tension exerted by string; T = 25 N
To calculate the net force on the pail of water at the top of the vertical circle, let us take equilibrium of forces to give;
W - T = ma
Where;
W is weight = mg
T is tension on the string
Now, in circular motion, we know that;
Acceleration is; a = v²/r
Thus;
mg - T = m(v²/r)
Making v the subject of the formula gives us;
v = √[(r(T + mg)/m)
Plugging in the relevant values gives;
v = √[(1(25 + (2 * 9.8))/2)
v = 4.722 m/s
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Snow on the ground prevents polar climate systems from gaining heat by what mechanism?
Question 7 options:
Heating by greenhouse gases
Snow reflecting solar radiation
Heat spread from the equator
Release of heat from Earth's core
The characteristics of the thermal heating mechanisms allow to find the correct answer for how snow prevents soil heating is:
b) Snow reflecting solar radiation.
The heating of the system occurs by absorption of energy by three basic mechanisms:
Conduction. It occurs when the bodies are in constant and energy is transferred by the oscillations of the elements of the body, but there is no physical displacement of parts of it. Convection. This mechanism occurs mainly with liquid and gases, it is due to the displacement of masses of the element due to its greater energy. Radiation. In these mechanisms there is no physical contact and the energy is transferred by the emission of electromagnetic waves.
In this case, the snow receives electromagnetism waves from the sun, a large part of these waves are reflected by the snow, therefore they do not reach the ground and cannot be absorbed, thus decreasing its heating.
Let's analyze the claims:
a) False. Greenhouse gases do not interfere with snow on the ground.
b) True. This mechanism reduces radiation heating.
c) False. The heat that comes from the equator warms the air.
d) False. Heating by the Earth's core occurs everywhere and comes from the center of the earth, so it does not interact with snow.
In conclusion, with the characteristics of the thermal heating mechanisms, we can find the correct answer for how snow prevents soil heating is:
b) Snow reflecting solar radiation
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Which turn (left or right) requires the truck to slow down more in order to make the turn safely? Explain your answer using appropriate relationships.
You roll a toy car, and it moves 10 meters in five seconds. What is the car's velocity?
The car's velocity is 2 m/s.
Hope you could get an idea from here.
Doubt clarification - use comment section.
An object is dropped from a 42 m tall building. How long does it take to reach the ground?
Answer:
2.1 seconds
Explanation:
let D represent the height in meters
let g represent gravity in meters per second squared
let t represent time in seconds
D= -42 meters (negative because it falls down)
g= -9.8m/s^2
t= [tex]\frac{-42 meters}{9.8 m/s^2}[/tex]
this gives t= 4.2857 s^2
the meter units cancel out in the division
now we must simplify the units to singular seconds so...
[tex]\sqrt{4.3 s^{2} }[/tex] which simplifies to [tex]\sqrt{4.3}[/tex] x [tex]\sqrt{s^{2} }[/tex]
this equals 2.1 seconds
A 30.4-newton force is used to slide a 40.0-newton crate a distance of 6.00 meters at constant speed along an incline to a vertical height of 3.00 meters. Calculate the work done by a friction force on the crate as it slides 6.00 m along the incline.
Hi there!
Since the crate is being slid at a constant speed, the forces sum to 0 N. In this instance, the following forces occur in the axis of interest:
Wsinθ = downward acceleration along incline due to gravity (N)
Fκ = kinetic friction force along incline (N)
A = applied force (N)
The acceleration due to gravity and friction force act in the same direction, so:
Wsinθ + Fκ = A
Solve for sinθ using right triangle trigonometry:
sinθ = O/H = 3/6 = 0.5
Rearrange the equation for the force of kinetic friction and solve:
Fκ = A - 0.5W
Fκ = 30.4 - 20 = 10.4 N
Now, recall that:
Work = Force × displacement (W = F × d)
Since the box's displacement is in the same axis as the force but OPPOSITE direction, we must use:
W = Fdcosθ
Angle between displacement and friction force is 180°.
cos(180) = -1
Work done by friction = -Fd = -10.4(6) = -62.4 J
How long did it take Sally riding her bike to slow down from 18 km/h to 6 km/h if the deceleration was at a rate of 4 km/h/s?
4.5 seconds
3 seconds
3 hours
6 seconds
Carlos wanted to know how positive and
negative charges affect balloons. The
balloons shown below are part of his
investigation.
Answer:
it Give only one of them a positive or negative charge
Answer:
Rubbing the balloon against hair or wool causes electrons to move from the hair or wool to the balloon. The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.
A bullet of mass M1, is fired towards a block
of mass m2 initially at rest at the edge of a
frictionless table of height h as in the figure.
The initial speed of the bullet is vi. Consider
two cases. a соmрlеtеlу inсlаѕtiс one and an
elastic one where the bullet bounces off the block. What is the flight ratio time?
The ratio of time of flight for inelastic collision to elastic collision [tex](t_A :t_B)[/tex] is 1:2
The given parameters;
mass of the bullet, = m₁mass of the block, = m₂initial velocity of the bullet, = u₁initial velocity of the block, = u₂ = 0Considering inelastic collision, the final velocity of the system is calculated as;
[tex]m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\m_1u_1 + 0 = v(m_1 + m_2)\\\\v= \frac{m_1u_1}{m_1 + m_2} \ -- (1)\\\\[/tex]
The time of motion of the system form top of the table is calculated as;
[tex]v = u + gt\\\\v = 0 + gt\\\\v = gt\\\\t= \frac{v}{g} \\\\t_A = \frac{m_1u_1}{g(m_1 + m_2)} \ \ ---(2)[/tex]
Considering elastic collision, the final velocity of the system is calculated as;
[tex]m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\m_1u_1 + 0 = m_1v_1 + m_2v_2\\\\m_1 u_1 = m_1v_1 + m_2v_2[/tex]
Apply one-directional velocity
[tex]u_1 + (-v_1) = u_2 + v_2\\\\u_1 -v_1 = 0 + v_2\\\\v_1 = v_2 -u_1[/tex]
Substitute the value of [tex]v_1[/tex] into the above equation;
[tex]m_1u_1 = m_1(v_2 - u_1) + m_2 v_2\\\\m_1u_1 = m_1v_2 -m_1u_1 + m_2v_2\\\\2m_1u_1 = m_1v_2 + m_2v_2\\\\2m_1u_1= v_2(m_1 + m_2)\\\\v_2 = \frac{2m_1u_1}{m_1+ m_2} \ --(3)[/tex]
where;
[tex]v_2[/tex] is the final velocity of the block after collision
Since the bullet bounces off, we assume that only the block fell to the ground from the table.
The time of motion of the block is calculated as follows;
[tex]v_2 = v_0 + gt\\\\v_2 = 0 + gt\\\\t = \frac{v_2}{g} \\\\t_B = \frac{v_2}{g} \\\\ t_B = \frac{2m_1u_1}{g(m_1 + m_2)} \ \ ---(4)[/tex]
The ratio of time of flight for inelastic collision to elastic collision is calculated as follows;
[tex]\frac{t_A}{t_B} = \frac{m_1u_1}{g(m_1 + m_2)} \times \frac{g(m_1 + m_2)}{2m_1u_1} \\\\\frac{t_A}{t_B} = \frac{1}{2} \\\\t_A:t_B = 1: 2[/tex]
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Preston goes on a camel safari. There, he travels 5 km north, then 3 km east.
7777Answer:
Explanation:
if you immerse an object into a known mass of water, the measured mass of the water will _____, and will be equal to the mass of the water displaced by the immersed object.
Answer: decrease
Explanation: it does
What is the energy of a 5 kg object that is held at a height of 3 m above the ground?
Formula
substitute
answer
Answer:
147 Joules
Explanation:
It would be potential energy because it is stored. Potential energy = gravity * mass * height. Gravity is 9.8 m/s² or more specific 9.807 m/s². Potential energy is written in Joules.
9.8 * 5 * 3 = 147 Joules
More specific:
9.807 * 5 * 3 = 147.105 Joules
If Force = 200 N and Mass = 20 kg, what is acceleration?
[tex]\text{Given that,}\\\\\text{Force, F =200 N}\\\\\text{Mass, m = 20 kg}\\\\\text{Using Newton's second law,}\\\\F = ma \\\\\implies a = \dfrac{F}{m} = \dfrac{200}{20}= 10 ~ \text{ m s}^{-2}\\\\\text{The acceleration is 10 m s}^{-2}.[/tex]
Got a question ~ can someone help me out ?
I want Explanation ~ [ cuz there's something I'm not clear about in this question ]
Thanks for Answering ~
Answer:
Hey Tyere!
Refer to the attachments....
I hope it is helpful to you...Cheers!____________The parking brake on a 1200kg automobile has broken, and the vehicle has reached a momentum of 7800kg.m/s. What is the velocity of the vehicle?
Answer:
Velocity of the vehicle (v) = 6.5 m/s
Explanation:
Mass of automobile (m) = 1200 kg
Momentum of vehicle (p) = 7800 kg m/s
By using formula of momentum:
[tex] \rm p = mv \\ \rm 7800 = 1200 \times v \\ \rm v = \frac{7800}{1200} \\ \rm v = 6.5 \: m {s}^{ - 1} [/tex]
Using techniques similar to the aluminum foil lab, how could you do an experiment to determine the volume of the filled soda bottle? What factors might limit the accuracy of your experiment?
Answer:
applications of density measurements. The densities of brass and aluminum will be calculated from mass and volume measurements.
Explanation:
Solve the science problem
Answer:
ybuTouch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
what is the definition for volume and density
Answer:
volume :: is the level at which something is heard or the amount of space that something takes up.
Density :: is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume.
Answer:
The density, of a substance is its mass per unit volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume: {\displaystyle \rho ={\frac {m}{V}}} where ρ is the density, m is the mass, and V is the volume
What is the centripetal acceleration?
Answer:
centripetal acceleration is when an object accelerates going in a circular motion.
how many types Of Ornital does the atomic orbital have ?
Answer:
There are four types of orbitals that you should be familiar with s, p, d and f (sharp, principle, diffuse and fundamental). Within each shell of an atom there are some combinations of orbitals
What are some of the dangers that volcanoes pose to human populations? a. Destruction of property from lava flow b. Destruction from mud flows c. Lung problems from ash and toxic gases d. All of the above.
Destruction of property from lava flow, destruction from mud flows and lung problems from ash and toxic gases are all some of the dangers that volcanoes pose to human populations.
Volcanoes refer to an opening that appears on the earth's surface and serves as a vent for lava, volcanic ash, and gases. These could lead to a fire outbreak in mountains sometimes.
The following are dangers posed by volcanoes pose to human populations;
Destruction of property from lava flow Destruction from mud flowsLung problems from ash and toxic gasesHence, the correct answer to the question is "all of the above".
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Answer:
D
Explanation:
EDGE 2021
if the wave velocity and frequency of a wave are both doubled, the wavelength is
If the wave velocity and frequency of a wave are both doubled, the wavelength will remain the same.
The wavelength of a wave shows the spatial orientation of distance between two successive crest in a wave medium.
The wavelength λ is expressed by using the relation:
[tex]\mathbf{\lambda = \dfrac{v}{f}}[/tex]
Now, if velocity and frequency of wave is both doubled, the wavelength will remain the same.
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do we use more freshwater in our homes to provide us with electricity
Answer:
No. Water can be used in a hydroelectric dam to generate electricity, but this does not make us use more or less water in our homes.
Explanation:
Answer:We use more freshwater to provide us with electricity. Water is the only compound that can be found naturally as a liquid, gas, and solid.
Explanation:
when plate movement rocks to break its called
use these terms in to show they are related, radiant energy, solar collector, active solar heating system
Answer:
The term "solar collector" commonly refers to a device for solar hot water heating, but may refer to large power generating installations such as solar parabolic troughs and solar towers or non water heating devices such as solar air heaters. radiant energy is the energy of electromagnetic and gravitational radiation.Active solar heating systems use solar energy to heat a fluid;either liquid or air; and then transfer the solar heat directly to the interior space or to a storage system for later use. If the solar system cannot provide adequate space heating, an auxiliary or back-up system provides the additional heat.
9. When a balloon rises into the air, it
A. Expands on cooling
B. Contracts on cooling
C Expands on heating
D. Contracts on heating
Answer:
Answer 3: When a balloon goes up higher in the air, its size will increase. Since there's less air in the upper atmosphere, there's less stuff pushing back on the balloon, and hence the pressure is lower, which allows the balloon to expand
Answer: C
Explanation:
As the balloon rises, the gas inside the balloon expands because the atmospheric pressure surrounding the balloon drops. The atmosphere is 100 to 200 times less dense at the float altitudes than on the ground. and as the air is heated inside the balloon it causes it to rise upwards (because it is lighter than the cooler air on the outside). When the pilot needs to bring the balloon down again, he simply reduces the temperature of the air inside the balloon causing it to slowly descend.
12. A lathe mounted on wooden skids is to be slid down a pair of planks placed against the back of a truck.
(a) If the coefficient of friction is 0.28, what angle should the planks make with the ground in order for the lathe to slide down at constant velocity?
(b) When the planks are at this angle, will the lathe start to slide down of its own accord?
(a) The angle the planks make with the ground in order for the lathe to slide down at constant velocity is 90⁰.
(b) Yes, at this angle the lathe will start sliding at constant velocity because of the sharp steepness.
The given parameters:
coefficient of friction, μ = 0.28The net force on the wooden skids is calculated as follows;
[tex]\Sigma F = 0\\\\F - \mu mg cos\theta = 0\\\\ma - \mu mg cos\theta = 0\\\\ma = \mu mg cos \theta \\\\a = \mu g cos\theta\\\\at \ constant \ velocity , \ a = 0\\\\0 = \mu g cos \theta\\\\cos \theta = 0\\\\\theta = 90 ^0[/tex]
Yes, at this angle the lathe will start sliding at constant velocity because of the sharp steepness.
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A stone is thrown horizontally from the top of an inclined plane (angle of inclination θ). How would I find the initial speed of the stone if it hit the plane a distance L down the slope from the point of launch?
Answer:
S = V t where S is the horizontal distance traveled
1/2 g t^2 = H where H is the vertical distance traveled
t^2 = 2 H / g
V^2 = S^2 / t^2 = S^2 g / (2 H) combining equations
tan theta = H / S
V^2 = S g / (2 tan theta)
Using S = L cos theta
V^2 = L g cos theta / (2 tan theta)
Giving V in terms of L and theta
Joey is performing an experiment in science class. He mixes two liquids in a test tube, and gas bubbles
appear at the surface of the test tube. Which of the following describes what is most likely taking place?
a.) A physical change is causing a change the phase from liquid to gas.
b. A chemical change has caused the liquids to undergo combustion and gas is escaping.
c. A physical change is causing the isolation to exhibit different properties than the original
substances.
d. A chemical change has resulted in the production of a new substance, which is being given off
as gas.
Answer:
The answer is D
Explanation:
Gas is made when chemical change happens. The chemical change has made a new substance gas. It cannot be combustion unless it is hot or was on fire.
A chemical change has resulted in the production of a new substance, which is being given off.
The correct option is D.
What is called chemical change?A chemical change is any process that converts one material into another, produces new compounds with unique features, or combines any of these processes. When two compounds combine to generate a new material, it takes place (synthesis or either decomposes to form more substances).
What takes place when chemicals change?Breaking covalent bond between reactant molecules (particles) and creating new bond between atoms in product particles are two aspects of chemical reactions (molecules). While there are the same number of atoms both before and after the biochemical transition, there will be a change in the number of molecules.
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A 10.0-kg crate slides along a raised horizontal frictionless surface at a constant speed of 4.0 m/s. The crate then slides down a frictionless incline and across a second, roughened horizontal surface as shown in the figure. What is the kinetic energy of the crate as it reaches the lower surface?
The kinetic energy of the crate as it reaches the lower surface is 80 J
Kinetic energy is the energy possed by an object in motion. Mathematically, the kinetic energy can be expressed as follow:
KE = ½mv²
With the above formula, the kinetic energy of the crate can be obtained as follow:
Mass (m) = 10 KgVelocity (v) = 4 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 10 × 4²
KE = 5 × 16
KE = 80 J
Therefore, the kinetic energy of the crate is 80 J
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A young diver is practicing his skills before an important team competition. Use the diagram below in order to analyze the energies of the diver and complete the statements below.
Where m = mass (kg), g = 9.8 m/s2, v = velocity (m/s), h = height (m), KE = kinetic energy (J), and GPE = gravitational potential energy (J).
Use the equations above to answer the following questions.
A diver with a mass of 90 kg is at a height of 10 m, and he has not jumped off of the board yet (v = 0 m/s). When the diver reaches a height of 5 m (Point C), his gravitational potential energy is
A. 1350 J
B. 8820 J
C. 4410 J
D. 0 J
and his velocity is
E. 4.5 m/s
F. 0 m/s
G. 3.2 m/s
H. 9.9 m/s
Please help will mark brainliest
[tex]\\ \sf\longmapsto GPE=mgh[/tex]
[tex]\\ \sf\longmapsto GPE=90(5)(9.8)[/tex]
[tex]\\ \sf\longmapsto G PE=4410J[/tex]
Now
It's converted to kinetic energy while reaching ground.
[tex]\\ \sf\longmapsto K.E=4410[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}mv^2=4410[/tex]
[tex]\\ \sf\longmapsto 90v^2=8820[/tex]
[tex]\\ \sf\longmapsto v^2=98[/tex]
[tex]\\ \sf\longmapsto v=9.9m/s[/tex]
Done
Answer:
Hope it will help you a lot.