Answer:
18.66m
Explanation:
This was actually fun! Let set up the problem first: As you drop the sphere, it will accelerate till it hits the water with a given speed [tex]\dot z[/tex]. Once sinking the ball is subjected to two forces: its own weight [tex]m_sg = \rho_sVg[/tex] directed towards the bottom of the lake, and buoyancy (Archimedes law), ie a force upward equal to the volume of displaced water, [tex]m_wg=\rho_wVg[/tex]. At this point it's the classical "how high can I toss a ball before it falls down" with a water twist. Please note that I'm using z as the height of the sphere, and [tex]\dot z; \ddot z[/tex] represent the velocity (with one dot) and the acceleration (with two dots) in the z direction .Let's assume the sign of all quantities being positive if directed upwards, and negative if towards the bottom of the lake.
Let's first determine how fast the ball hit the water. For me the easiest way is saying "at 8m it has a given potential energy, and 0 kinetic energy. When it hits the water it loses all potential energy and has only kinetic energy". In numbers:
[tex]m_sgz=\frac12m_s\dot z_0^2[/tex] Let's divide by the masses, g is a known value ([tex]9.81 ms^{-2}[/tex]), z is 8 meters, and we get that [tex]\dot z_0 = 4\sqrt g =12.52 m/s[/tex]
At this point, let's determine the force acting on the sphere, courtesy of Newton second law and the debate we had earlier:
[tex]m_s \ddot z = -m_sg + m_wg\\\rho_sV \ddot z = -\rho_sVg + \rho_wV g[/tex]
At this point we can divide by the volume of the sphere, and make use of the fact that [tex]\rho_s = 0.7 \rho_w[/tex]
[tex]0.7\rho_w \ddot z = -.7\rho_w g+ \rho_wg \rightarrow 0.7 \ddot z = 0.3 g\\\ddot z = \frac {0.3}{0.7} g= \frac 37g = 4.2 ms^-2[/tex]
We're almost there. At this point we can write the law of motion for the sphere.
[tex]\dot z = \dot z_0 + \ddot z t[/tex] that we will use to find the time for the ball to stop sinking - ie reaches 0 velocity.
[tex]0 = -12.52 +4.2t \rightarrow t= 12.52/4.2 \approx 3s[/tex]
At this point we can use the other law of motion to find out the distance traveled
[tex]z= z_0 + \dot z_ot + \frac12 \ddot z t^2\\z= 0 -12.52 (3) + \frac12 (4.2)(3)^2 = -37.56+18.90 = -18.66 m[/tex]
as usual, please double and triple check all the calculations, it's almost 1.30 am here and I am not the most confident number cruncher even when fully awake.
what Characteristic of an object is related to both kinetic energy and its potential energy a objects velocity b height c speed d mass
Answer:
I think it's a. Object velocity
Explanation:
.
Answer:
Object mass
Explanation:
I had answered and thats what it is
What are the main pieces of evidence we use to differentiate a black hole binary from a neutron star binary
Answer:
Black hole accretion disk emit in the X-rays but neutron star disks are cooler
Hope this Helps
If I travel 100 kilometer in one hour then I have a speed of?
Answer:
100 km /hour
Explanation:
/ or per = every once so every hour you are traveling 100 kilometera
Answer:
100kmh-1
Explanation:
100km÷1hour
100kmh-1
How does the force of gravitation between two objects change when the distance between them is reduced to half?
Answer:
it is 1 / square root of the change in distance
Explanation:
since the equation of the gravitational force is
[tex]F=G{\frac{m_1m_2}{r^2}}[/tex]
then F and r are inversely related, by the equation
[tex]F \alpha \frac{1}{r^2}[/tex]
this means when F is multiplied by 2 then r^2 is multiplied by half
so when r is multiples by half we first square the number (0.5) ^ 2 = 0.25
so
[tex]F \alpha \frac{1}{(0.25)r^2}[/tex]
which means F is multiples by 1/0.25 or 4 when the radius is halfed
An object has an acceleration of 12.0 m/s/s. If the NetForce was tripled and the mass was doubled, then the new acceleration would be _____ m/s/s
Answer: that would be New acceleration would be 12 m/s²
Explanation:
during which lunar phase does every solar eclipse occur?
Answer:
It has to be the "New Moon" because that is when the moon is between the sun and the earth.
A lunar eclipse can occur when the earth is between the sun and the moon.
Which is a characteristic of tolerance? A.enjoying your hobbies B.accepting diversity C.having pride in your cultureD. knowing many types of people
Answer:
B
Explanation:
Because Tolerance Is The Level Of Ability That Someone Has To Recognise And Help Others Values And Differences.
name the substance that combines with water in photosynthesis
Answer:
carbon dioxide
Explanation:
its common sense
A car traveling due north at 60 km/hr increased its velocity to 80 m/s due south in 20 seconds. Draw i) speed against time graph, ii) acceleration against time graph.
The slope of the graph is acceleration of the car with a value of 3.2 m/s².
The given parameters;
initial velocity of the car, u = 60 km/hrfinal velocity of the car, v = 80 m/stime of motion of the car, t = 20 sThe initial velocity of the car in m/s is calculated as follows;
[tex]60 \ \frac{km}{hr} \times \frac{1 \ hr}{3600 \ s} \times \frac{1000 \ m}{1 \ km} = 16.67 \ m/s[/tex]
The acceleration of the car is calculated as follows;
[tex]a = \frac{v- u}{t} \\\\a = \frac{80 - 16.67 }{20} \\\\a = 3.2 \ m/s^2[/tex]
The graph of the velocity against time and acceleration against time is in the image uploaded.
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What is an ellipse?
I want an accurate answer. No spam.
Answer:
It is defined as an astronomical phenomenon which occurs when one spatial object comes within the shadow of another spatial object.
If the mass of the Earth is doubled, how will the moon’s orbit be affected?
What Would Happen to the Orbit of the Moon if it Were Twice as Massive? ... The orbit would not change.
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consider an air-filled balloon weighted so that it is on the verge of sinking. now, if you push it beneath the surface, it will
Given our understanding of physics, we can conclude that once the balloon is pushed under the surface, it will sink.
One key factor to take into account here is to remember that the density of a ballon can change when exposed to a higher pressure. This is due to the elastic nature of the material that makes up the ballon, and the nature of gas atoms that allow them to be compressed.
Therefore, when the balloon is pushed underwater, the surrounding water will squeeze the balloon, thus incrementing its density. Once the density of the balloon rises, this, in addition to the weight to which it is attached, will make it heavier than the water it is in, and the balloon will sink.
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What is the total of two or more numbers added together called?
weight
mass
sum
product
The sum of numbers is the total of two or more numbers added together.
Numbers is the arrangement of digits used to count, measure, and label. There are different types of numbers such as whole numbers, integers, natural numbers and many more.
The four basic mathematical operations are addition, subtraction, multiplication and division.
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A cyclist rides 4.7 km east for 17 minutes. He then heads west for 11 minutes, riding 2.9 km. Finally, he rides east for 13 km, which takes 51 minutes.
What is the final displacement of the cyclist from their starting point?
What is the cyclist’s average velocity?
Answer: Look at Explanation
Explanation:
4.7 east
2.9 west
4.7 - 2.9 = 1.8 to the east
then 13km to the west
-1.8 + 13 = 11.2 to the west left side
why are some small jovian planet moons geologically active?
Answer:
tidal heating and/or their composition
Explanation:
cecily is inflating her bicyble tyre with the pump below. when she pushes the plunger down, it is moving against a force appliefd by the air inside the cynlinder. this means that the plunger is doing ___
Answer:
"work against the force of the air in the tire"
The air in the tire provides a force opposing the force of the air provided by the plunger.
when the acceleration of a block in simple harmonic motion on a spring is zero, what other quantity is also zero?
Hi there!
When the acceleration of a block in SHM is 0 m/s², the NET FORCE must equal 0 N.
0 m/s² acceleration is obtained when the spring is at its equilibrium point, meaning that:
∑F = -kx (x = displacement from equilibrium point in meters)
If the block is at the equilibrium point, displacement = 0m, so:
∑F = -k(0) = 0 N
With Newton's Second Law, ∑F = ma. If the net force is 0 N, then there is no acceleration experienced by the block.
Thus, the other quantity that must be 0 is the block's NET FORCE.
If a piece of glass permits light to pass through, then it is considered ___________. A. Transparent c. Transmitting b. Reflective d. Absorbent Please select the best answer from the choices provided A B C D.
Answer:
not sure, but I thinks it's either Transparent or Reflective
According to the concept of reflection, if a piece of glass permits light to pass through, then it is considered to be reflective.
What is reflection?Reflection of light is defined as a property of light ray that when it strikes a smooth surface it bounces back .Objects can be seen due to this property of light.Reflection is produced by all types of waves namely sound waves, light waves, electromagnetic waves.
Reflection of light is governed by laws of reflection which are also called as Snell's laws. According to laws of reflection, angle of incidence and angle of reflection are equal.The incident ray , reflected ray and normal all lie on the same side of the plane.Light travels in a straight line before, after and during the process of reflection.There are 3 types of reflection which are diffuse reflection,specular reflection and glossy reflection.
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the thermodynamic processes that occur in nature ____________.
Answer:
The thermodynamic processes that occur in nature convert thermal energy into mechanical energy.
The thermodynamic processes that occur in nature are according to the law of thermodynamics.
The thermodynamics processes seen in nature are guided by the law of thermodynamics. The role of energy and heat transmission in physical systems is guided by these laws.
The laws are:
(1) Energy cannot be created nor destroyed in a system, according to the first law of thermodynamics, Also, referred to as the law of energy conservation. Only from one form to another, the energy can be transmitted or altered. Energy is conserved through natural processes, keeping the overall amount constant.
(2) Second law of thermodynamics: states that the overall entropy of an isolated system tends to increase over time in any natural process. This suggests that processes progress towards a state of increasing disorder.
Hence, the thermodynamic processes are guided by the law of thermodynamics.
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a person with a mass of 15 kg is walking downhill at a velocity of 10 ms what is the Walkers momentum
Answer:
[tex]150 kg\cdot m/s[/tex]
Explanation:
Same as if he was walking uphill, or horizontally. Momentum is defined as the product of mass times velocity. [tex]p = mv = 15\cdot 10 = 150 kg\cdot m/s[/tex]
What is the force that counteracts the thrust force for flight?
The force which counteracts the thrust force for the flight is known as the drag force, as it opposes the flow.
What is drag force?Drag is a force that opposes an object's relative motion to a fluid environment in the field of fluid dynamics. It may be among two liquid film (or surfaces) or in between a liquid and a flat wall. The drag force is influenced by velocity, as opposed to other resistive forces like dry contact, which are essentially independent of it.
When a flow is moving at low or high speed, the drag force is equal to the speed for low pressure and to the square of the velocity for high-speed flow. Although viscous friction is what ultimately causes drag, turbulent drag is unaffected by viscosity.
A force in physics is an input that has the power to change an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe forces.
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The drag force, which resists the flow, is the force that balances the propulsion force for flight.
What is Drag force?In the study of fluid dynamics, drag is a force that opposes an object's relative motion to a fluid environment. It could be situated between two liquid surfaces (or films) or between a liquid and a flat wall.
Unlike other resistive forces like dry contact, which are largely independent of velocity, the drag force is affected by it.
For low pressure and high speed flows, respectively, the drag force is equal to the speed for low pressure and the square of the velocity. Although drag is ultimately caused by viscous friction, turbulent.
Thus, The drag force, which resists the flow, is the force that balances the propulsion force for flight.
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A student has fallen behind on her homework and suddenly realizes that a big research paper is due the next day and she has not even started working on it. She panics, staying up all night to write her paper, but still runs out of time. At the last minute, she finds a research paper online that covers the same topic as her paper, and she copies and pastes large portions of text from the website into her paper. The student’s behavior is an example of what? a violation of intellectual property rights an online invasion of privacy inappropriate use of Internet sites an incident of cyberbullying
Answer:
Violation of intellectual property rights
Explanation:
Im sorry I am late but for the future people its A! :)) Have a great day :)
Explain how work and power are different. Give an example of doing the same amount of work, but producing different amounts of power.
Answer:Work is a measurement of energy.
Power is a measurement of energy per time.
So, power measures how fast work is done.
If we raise 1kg up to a height of 1 meter it takes a certain amount of work. It doesn't matter if it takes us 1 second or 1 hour to raise it. It takes more power, energy per second, to raise it in 1 second than to raise it in one hour.
An engines power rating is in horsepower. A higher horsepower car engine will get a certain car up a hill more quickly than if it had a lower horsepower engine. Even though both engines did the same amount of work in getting the car up the hill
Answer:
work is a measurement of energy, but power is how much energy it takes. Two people could do the same amount of work. Sally and James. James may finish his work in 2 days due to the amount of power he puts in, but it may take Sally a week.
which work is done by effort
input
work is done by effort input.
hope it helps
[tex] \: [/tex]
how much does it cost to charge an electric car at a public charging station
Answer:
Rs 16.5 lakh is a charge of an electric car at a public charging station
explain why the moon orbits the earth while the earth orbits the sun
Kiley went 5.7 km/h north and then went 5.8 km/h west. From start to finish, she went 8.1 km/h northwest.
Which best describes her numbers?
Answer:
5.7km/h north and 5.8km/h west are instantaneous speeds, while 8.1km/h Northwest is the average speed.
251mL=25100L
True or false and why or why not?
Answer:
False
Explanation:
To find how many liters 251mL is you would need to divide 251 by 100 which is 0.251.
How is the resultant displacement affected when two displacement vectors are added in a different order
Answer: it is not affected what so ever.
Explanation It will still produce the same resultant.
4. According to Newton's First Law of Motion, an object with a net force acting on it will
Answer:
a object with net force on it will stay in motion unless acted on by an equal opposite force.