Problem B.2: Escaping a Star (6 Points) It takes many years for a photon produced in a star's centre to reach its surface and escape into space. This is due to its constant interaction with other particles. To estimate the time it takes for a photon to escape a star's interior, we assume that the photon is deflected in equal time intervals into a random direction in a two-dimensional space (i.e., a random walk): At each step i, the photon moves a constant distance in an angle, thus changing its position: cos(4) sin(y) Ai, - c (a) Determine the distance R(n) from the centre (0,0) after n steps.
Answer:
This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.
The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.
The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).
The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:
R(n) = √(X² + Y²)
Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.
However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:
<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2
<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2
Because <X²> = <Y²>, we can write:
<R²> = <X²> + <Y²> = n A²
So, the root mean square distance (the square root of the mean square displacement) after n steps is:
R(n) = √(<R²>) = √(n) * A
Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.
Suppose a clay model of a koala bear has a mass of 0.235 kg and slides on ice at a speed of 0.720 m/s. It runs into another clay model, which is initially motionless and has a mass of 0.305 kg. Both being soft clay, they naturally stick together. What is their final velocity (in m/s)
Answer:
The value is \(v = 0.3133 \ m/s\)
Explanation:
From the question we are told that
The mass of the first model is \(m_1 = 0.235 \ kg\)
The sliding speed is \(u_1 = 0.720 \ m/s\)
The mass of the second model is \(m_2 = 0.305 \ kg\)
Generally from the law of momentum conservation w have that
\(m_1 * u_1 + m_2 * m_2 * u_2 = (m_1 + m_2 ) v\)
Here \(u_2\) is the velocity of the second model and given that it is motionless at it initial state the value will be \(u_2 = 0 \ m/ s\)
So
\(0.235 * 0.720 + 0.305 * 0 = (0.235 + 0.305 ) v\)
=> \(v = 0.3133 \ m/s\)
Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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What distance in meter can a runner cover in 60 minutes if he/she has an average speed of 2 m/s
Answer:
d = 7200 m
Explanation:
Given that,
Average speed of a runner, v = 2 m/s
Time taken by the runner, t = 60 min = 3600 s
We need to find the distance covered by the runner.
Speed = distance divided by time taken.
v = d/t
Putting all the values,
\(d=v\times t\\\\d=2\times 3600\\\\d=7200\ m\)
So, the distance covered by the runner is 7200 m.
The specific gravity of an object is 0.842, whereasthat of seawater is 1.025.What percent of an object is above the surface of the water?
82.15% of an object is above the surface of the water
Explanations:Note that:
Mass = Density x Volume
That is, m = ρV
Force = Mass x acceleration due to gravity
That is, F = mg
Substitute m = ρV into F = mg
F = ρVg
Also note that:
The Buoyant Force = Gravitational force
Therefore:
\(\begin{gathered} F_{Buoyant}=F_{gravitational} \\ \rho_{sw}V_{sw}g=\rho_{ob}V_{ob}g \\ \text{where:} \\ \rho_{sw}=specific\text{ gravity of sea water} \\ V_{sw}=\text{ Volume of sea water displaced} \\ \rho_{ob}=\text{ Specific gravity of the object} \\ V_{ob}=\text{ Volume of the object} \end{gathered}\)\(\begin{gathered} \rho_{sw}V_{sw}g=\rho_{ob}V_{ob}g \\ \frac{V_{sw}}{V_{\text{obj}}}=\text{ }\frac{\rho_{ob}_{}}{\rho_{sw}}=\text{ }\frac{0.842}{1.025}=\text{ }0.8215=\text{ 82.15\%} \end{gathered}\)82.15% of an object is above the surface of the water
Need a 5 paragraph essay in the eartsh layers and how they function/ benefit the earth!
There is more to the Earth than what we can see on the surface. In fact, if you were able to hold the Earth in your hand and slice it in half, you'd see that it has multiple layers. But of course, the interior of our world continues to hold some mysteries for us. Even as we intrepidly explore other worlds and deploy satellites into orbit, the inner recesses of our planet remains off limit from us.
However, advances in seismology have allowed us to learn a great deal about the Earth and the many layers that make it up. Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core. Let's take a look at them and see what they have going on.
Like all terrestrial planets, the Earth's interior is differentiated. This means that its internal structure consists of layers, arranged like the skin of an onion. Peel back one, and you find another, distinguished from the last by its chemical and geological properties, as well as vast differences in temperature and pressure.
Explanation:
Black holes result from
Answer:
supernova explosion or death of massive star
Explanation:
"Most black holes form from the remnants of a large star that dies in a supernova explosion."
What force pushes the plane upwards
Answer: The force that pushes a plane upwards is the lift generated by the wings as the plane moves through the air. The lift force is created by the difference in air pressure above and below the wings, which creates an upward force that opposes the weight of the plane.
ntrol Test 1 March 2023 4. The highest frequency that the human ear ca hear is 20 kHz. A Dolphin produces a sound in order to locate prey in water. 4.1 If the dolphin produces sound waves of wavelength of 5 cm, determine by means of calculations, whether the frequency produced by Dolphin can be heard by human ear. The speed of sound in water is 1 480 m.s-¹. [4] QUESTION 5 5.1 What is meant by the term the DUAL NATURE of electromagnetic radiation? (2) 5.2 A particle has 3,98 x 10-19 J of energy and has a wavelength of 5 x 10-13 m 5.2.1 What is a photon? is a quantun of fm radiation. 5.2.2 What is the speed of a photon? 5.2.3 By means of a calculation, show that the above particle is a photon 5.3 Will photon of ultraviolet light have more ENERGY or LESS ENERGY than a photon of gamma rays? Give a reason. T 5.4 Name the type of electromagnetic radiation that is used to study animals at night. (2) (1) (4) (2) (2 [13]
1) The dolphin sound can be heard by the human ear.
2) A photon is a particle that symbolizes a light or other electromagnetic radiation quantum.
What is the dual nature of electromagnetic radiation?The dual nature of electromagnetic radiation is a fundamental concept in physics, which refers to the fact that electromagnetic radiation has both wave-like and particle-like characteristics.
The frequency of the wave is;
f = 1480/5 * 10^-2
f = 29.6 kHz
The photon of the ultraviolet light will have less energy than the photon of gamma rays. Infrared rays can be used to study animals at night
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Samir is waiting for a slow reaction to finish. What is the best way to make the reaction go faster?
Question 12 options:
Put it in the fridge where it is cold
Cover it with a blanket so it's dark
Warm it up on the stove
There is nothing you can do to change the speed of the reaction
In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.
Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct
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Definition: In any chemical process, matter is neither lost nor gained.
Example: reactants before a chemical reaction must equal the products after the reaction, i.e. 2H2 + O2 →
2H20
Term:__________
Answer: Conversation of Matter
Explanation: According to Quizlet, Converstion of Matter is the answer.
A fox runs at a speed of 16 m/s and then stops to eat a rabbit. If this all took 120
seconds, what was his acceleration?
Answer:
a = 52s²
Explanation:
How to find acceleration
Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.
Solve
We know initial velocity (u = 16), velocity (v = 120) and acceleration (a = ?)
We first need to solve the velocity equation for time (t):
v = u + at
v - u = at
(v - u)/a = t
Plugging in the known values we get,
t = (v - u)/a
t = (16 m/s - 120 m/s) -2/s2
t = -104 m/s / -2 m/s2
t = 52 s
BRAINLIETS IF CORRECT
What does Hess's law say about the enthalpy of a reaction? A. The enthalpy of a reaction does not depend on the reactant path taken. B. The enthalpy of a reaction depends on the pathway the reactants followed See SUS C. The sum of the enthalpy and entropy is the free energy of a reaction. O D. The entropy of a reaction is the sum of the enthalpies of intermediate steps.
Answer: B
Explanation: I think its B or A but mostly B
Answer:
The enthalpy of a reaction does not depend on the reactant path taken
Explanation:
i just took the test on a pex :)
Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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Water is poured to 200 ml level into the measuring flask, and the cylinder is inserted into water. If the volume of water with immersed cylinder is 225 ml, the volume (in m³) of displaced water is?
Answer:
0.000025 m³
Explanation:
The volume of water displaced by the cylinder is equal to the volume of the cylinder itself. To find the volume of the cylinder, we need to subtract the initial volume of water in the measuring flask (200 ml) from the final volume of water with the immersed cylinder (225 ml).
Volume of displaced water = final volume - initial volume
Volume of displaced water = 225 ml - 200 ml
Volume of displaced water = 25 ml
We now need to convert this volume from milliliters (ml) to cubic meters (m³). We can use the conversion factor that 1 m³ = 1,000,000 ml:
Volume of displaced water = 25 ml ÷ 1,000,000
Volume of displaced water = 0.000025 m³
Therefore, the volume of displaced water is 0.000025 m³.
1. A curious physics student drops a book from a high building.
A. What is the VELOCITY of the brick after 3.0s?
B. How FAR(Distance) does the book fall during this time?
2. Suppose a free-fall ride at an amusement park starts at a rest and then drops.
A. What is the VELOCITY of the ride after 2.5s?
B. How FAR do people on the ride fall during the 2.5s time period?
3. You throw a ball downward from a window at a speed of 3.0 m/s.
A. How FAST will it be moving when it hits the sidewalk 2.0m below?
4. If I drop a photo copier off of a 45m tall building and splats on the ground below:
A. Calculate the TIME to hit the ground:
B. Calculate the VELOCITY just before:
Answer:
1.
A. Vf = 29.4 m/s
B. h = 44.1 m
2.
A. Vf = 24.5 m/s
B. h = 30.625 m
3.
A. Vf = 5.5 m/s
4.
A. t = 3.03 s
B. Vf = 29.7 m/s
Explanation:
1.
A.
using 1st equation of motion:
Vf = Vi + gt
where,
Vf = Final Velocity = ?
Vi = Initial Velocity = 0 m/s (since, book starts from rest)
g = 9.8 m/s²
t = time = 3 s
Therefore,
Vf = 0 m/s + (9.8 m/s²)(3 s)
Vf = 29.4 m/s
B.
using 2nd equation of motion:
h = Vi t + (1/2)gt²
h = (0 m/s)(3 s) + (1/2)(9.8 m/s²)(3 s)²
h = 44.1 m
2.
A.
using 1st equation of motion:
Vf = Vi + gt
where,
Vf = Final Velocity = ?
Vi = Initial Velocity = 0 m/s (since, book starts from rest)
g = 9.8 m/s²
t = time = 2.5 s
Therefore,
Vf = 0 m/s + (9.8 m/s²)(2.5 s)
Vf = 24.5 m/s
B.
using 2nd equation of motion:
h = Vi t + (1/2)gt²
h = (0 m/s)(2.5 s) + (1/2)(9.8 m/s²)(2.5 s)²
h = 30.625 m
3.
A.
using 3rd equation of motion:
2gh = Vf² - Vi²
where,
Vf = Final Velocity = ?
Vi = Initial Velocity = 3 m/s
g = 9.8 m/s²
h = height = 2 m
Therefore,
2(9.8 m/s²)(2 m) = Vf² - (3 ms)²
Vf² = 39.2 m²/s² - 9 m²/s²
Vf = √30.2 m²/s²
Vf = 5.5 m/s
4.
A.
using 2nd equation of motion:
h = Vi t + (1/2)gt²
where,
h = height = 45 m
Vi = Initial Velocity = 0 m/s (since, photo copier was initially at rest)
t = time = ?
g = 9.8 m/s²
45 m = (0 m/s)(t) + (1/2)(9.8 m/s²)(t)²
t² = 2(45 m)/(9.8 m/s²)
t = √9.18 s²
t = 3.03 s
B.
using 1st equation of motion:
Vf = Vi + gt
Vf = 0 m/s + (9.8 m/s²)(3.03 s)
Vf = 29.7 m/s
A cart moving across a level surface accelerates
uniformly at 1.0 meter per second² for 2.0
seconds. What additional information is
required to determine the distance traveled by
the cart during this 2.0-second interval?
The initial velocity of the cart.
Newton, There can be a mass is four.080, So acceleration might be equal to 2.50 m in step with cent within the rectangular. Initial is that amount that relies upon total mass. The greater mass the more inertia. So Mass is 2000 kg and acceleration is 3 ms square. So this offers us an internet pressure identical to 6000 newtons or 6.0 and 210 to the power
In case you roll a ball, it initially will keep rolling except friction or something else stops it by means of pressure. you could also think about the way that your body maintains transferring ahead when you hit the brake on your bike. Translational Inertia = ma, in which m is the mass, and a is the acceleration of the object. Calculate the rotational inertia or the instant of inertia velocity by way of multiplying the mass of the object with a square of the gap between the item and the axis, the radius of rotation.
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The Sun radiates energy at a rate of about 4×1026W. At what rate is the mass decreasing?
4.44×\(10^{9}\) kg/s is the rate at which the sun mass is decreasing.
The Sun radiates energy through a process called nuclear fusion, where hydrogen atoms combine to form helium, releasing a tremendous amount of energy in the process. According to Einstein's mass-energy equivalence principle (E=mc²), this energy release corresponds to a decrease in mass.
To calculate the rate at which the Sun's mass is decreasing, we can use the formula ΔE = Δmc², where ΔE is the change in energy, Δm is the change in mass, and c is the speed of light.
Given that the Sun radiates energy at a rate of 4×10^26 W, we can substitute this value into the equation as ΔE and solve for Δm.
ΔE = 4×10^26 W
c = 3×10^8 m/s (speed of light)
Using the equation ΔE = Δmc² and rearranging it, we get Δm = ΔE / c².
Substituting the values, we have:
Δm = (4×10^26 W) / (3×10^8 m/s)²
Evaluating this expression, we find that the rate at which the Sun's mass is decreasing is approximately 4.44×10^9 kg/s.
This calculation demonstrates that the Sun's mass is gradually decreasing as it continuously radiates energy into space, primarily through the process of nuclear fusion in its core.
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List and briefly explain the incidents leading to the occurrence of any five nuclear accidents that have taken place in different parts of the world.
Answer:
Chernobyl Nuclear Disaster Nuclear Disaster. Japan 2011 Kyshtym Nuclear Disaster. Russia 1957 Windscale Fire Nuclear Disaster. Sellafield, UK 1957 Three Mile Island Nuclear Accident. Pennsylvania, USA 1979
Explanation:
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Pot holder should have high insulation and low _____.
Potholder should have high insulation and low conductivity, therefore the correct answer is the option B
What is insulation?Insulation is a type of material used to create barriers to the transmission of the form of energy which either is in form of heat or electricity.
For outdoor trips in cold weather, several thin layers act as better insulating barriers for heat transfer.
The ability of an electric charge or heat to pass through a material is measured by its conductivity. A material is considered a conductor if it offers very little resistance to the flow of thermal or electric energy.
Thus, Potholders should be highly insulated and have low conductivity, therefore the correct answer is the option B
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your question seems incomplete, the complete question is
To be effective, a pot holder should have low _____. viscosity conductivity malleability density
An ideal spring with a spring constant of 10.0Nm is attached to a block on a horizontal surface of negligible friction. The block is pulled back a distance AA, released from rest, and allowed to oscillate. This procedure is repeated several times for different values of AA. The data for two different oscillations indicated by graphs AA and BB are shown. The two graphs indicate oscillations with different blocks attached. Which of the following statements indicates the graph for the block with the larger mass and provides supporting evidence?
The block for graph A has a larger mass because the period of oscillation is greater.
The block for graph A has a larger mass because the amplitude is smaller.
The block for graph B has a larger mass because the period of oscillation is greater.
The block for graph B has a larger mass because the amplitude is greater.
The block for graphs A and B have identical masses because the blocks have the same period of oscillation.
The statement that indicates the graph for the block with the larger mass is the block for graph B has a larger mass because the period of oscillation is greater.
option C is the correct answer
What is period of oscillation of a simple harmonic motion?
The period of an oscillatory motion is the time taken for the object to complete once oscillation.
Oscillatory motion is a periodic motion taking place to and fro or back and forth about a fixed point.
Mathematically, the formula for period of oscillation of an ideal spring is given as;
T = 2π √ ( m / k )
where;
m is the mass of the block suspended on the springk is the spring constantT is the period of the oscillationFrom the equation given above, the period of oscillatory motion is directly proportional to the mass of the suspended object. That is the mass of the object increases, the period of oscillation increases.
In the given graph, the period of graph B is greater than period of graph A, hence graph B has greater mass.
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Explain how blood circulation takes place in humans?
Blood comes into the right atrium from the body, moves into the right ventricle and is pushed into the pulmonary arteries in the lungs. After picking up oxygen, the blood travels back to the heart through the pulmonary veins into the left atrium, to the left ventricle and out to the body's tissues through the aorta.
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if the body is floating in a liquid then can we say that the rise in the level of the liquid is equal to the height of the body
Yes, if a body is floating in a liquid, the rise in the liquid level is equal to the body height. This phenomenon is known as Archimedes' principle.
Archimedes' principle says when a body is immersed in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. Buoyant forces act in the opposite direction to gravity.
When a body floats in a liquid, it displaces a volume of liquid equal to its volume. As a result, the liquid level rises by an amount equal to the height of the submerged part of the body.
This principle holds for objects that float or are partially immersed in a liquid, such as a buoyant boat or a floating object. However, if the body sinks completely into the liquid, the liquid level rise will no longer be equal to its height. Instead, it depends on the density and volume of the submerged object.
When many atoms are split in a chain reaction, a large explosion occurs. This is an example of what type of energy conservation.
Nuclear to chemical or Nuclear to mecanical? Why?
Explanation:
Nuclear to chemical is the type of energy conversion that occurs when atoms are split in a chain reaction and a large explosion occurs.
If an ice skater pulls their hands towards their body, will their angular momentum and kinetic energy both increase?
Answer:
The angular momentum depends on both the angular velocity and the mass distribution of the object. You can change this angular momentum by exerting a torque (a twisting force)—but with no external torque, the angular momentum is conserved. Now getting back to the ice skater.
What is energy?
A. A change that appears in an object when forced is applied.
B. The property of a body that gives it mess.
C. The amount of heat produced by the body.
D. The ability of an object to undergo change.
E. The ability of a body to move.
Answer:
A
Explanation:
Answer: a or e
Explanation:
how to calculate the speed using time and distance
Answer:
speed = distance/time
Explanation:
distance -> s
speed -> v
time -> t
The calculation of speed using time and distance shows that speed is equal to distance/time.
What is speed?Speed refers to the rate of movement of a vehicle or person.
Thus, the speed can be computed by dividing the total distance by the time consumed.
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A physics book slides off a horizontal tabletop with a speed
of 1.10 m/s. It strikes the floor in 0.480 s. Ignore air resistance.
What is the height of the tabletop above the floor in meters.
A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in 0.480 s. The height of the tabletop above the floor is 0.264 m.
Given data:
Speed = 1.10 m/s
Time taken to strike the floor = 0.480 s
We are supposed to find the height of the tabletop above the floor in meters.
We can use the formula of distance to calculate the height of the tabletop above the floor.
We also need to make use of kinematic equations to find out the distance fallen by the book.
Let us first calculate the distance fallen by the book.
Let the height of the table be ‘h’.
From the kinematic equations of motion, we know thats = ut + 1/2 at²Here, u = 1.10 m/s, a = acceleration due to gravity = 9.8 m/s², t = 0.480 s
Putting these values in the above equation, we get:s = 1.10 × 0.480 + 1/2 × 9.8 × (0.480)² = 0.264 m
Now, we can find the height of the tabletop using the formula of distance.d = h + sHere, d = distance fallen by the book = h, s = 0.264 m
Putting these values in the above equation, we get: h = d = s = 0.264 m
Therefore, the height of the tabletop above the floor is 0.264 m.
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005 (part 1 of 2) 10.0 points
A runner is jogging in a straight line at a
steady v,= 2.1 km/hr. When the runner is
L= 4.4 km from the finish line, a bird begins
flying straight from the runner to the finish
line at us= 10.5 km/hr (5 times as fast as
the runner). When the bird reaches the finish
A constant speed motion is one in which equal distances are covered in equal times
The bird travels a cumulative distance of 7.\(\overline 3\) km
The reason the above value is correct is as follows:
The known parameters are;
Speed of the runner, \(v_r\) = 2.1 km/hr
The location where the bird begins to fly to the finish line = When the runner is 4.4 km from the finish line
The speed of the bird, \(v_b\) = 10.5 km/hr = 5 times the runners speed
The bird reaches the finish line, turns, and returns back to the runner
Required:
The find cumulative distance traveled by the bird
Solution:
The distance the bird travels is five times the distance the runner travels, therefore,
Let x represent the distance the runner ravels before the bird returns, we have;
The distance the bird travels = 4.4 + 4.4 - x = 8.8 - x
The distance the runner travels = x
The time the runner runs x km = The time the bird flies (8.8 - 4) km
\(From \ velocity = \dfrac{Distance }{Time}\), we have;
\(Time= \dfrac{Distance }{Velocity}\)
Given the time taken by the runner is equal to the time taken by bird, while running, we have;
\(Time= \dfrac{x}{2.1} = \dfrac{8.8 - x}{10.5}\)
Therefore;
10.5·x = 2.1·(8.8 - x) = 2.1×8.8 - 2.1·x
10.5·x + 2.1·x = 2.1×8.8 = 18.84
12.6·x = 18.84
\(x = \dfrac{18.84}{12.6} =\dfrac{22}{15} = 1.4 \overline 6\)
\(The \ distance \ the \ bird \ travels = 8.8 - \dfrac{22}{15} \approx \dfrac{22}{3} = 7. \overline 3\)
The cumulative distance the bird travels is 7.\(\overline 3\) km
Learn more about constant speed motion here:
https://brainly.com/question/12684433
Can we control motion? Yes or no. Justify you answer.
Answer:
Yes
Explanation:
Yes, we can control the motion.
Motion can be controlled by applying friction which is a force that opposes the motion. For example, if a car is in motion, brakes are applied to stop the motion of the car, this is due to the use of force of friction to convert that kinetic energy into heat.
Hence, the correct answer is "yes".