The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
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an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is
The required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
Given that,
An object with mass m is dropped from rest and taking air resistance into account.
The velocity as a function of time is,
v(t) = (m g)/c [ 1 - e^-(ct/m)]
v(t) = (m g)/c [ 1 - 1/e^(ct/m)]
lim t → ∝ v(t) = (m g)/c [ 1 - 1/∝]
lim t → ∝ v(t) = (m g)/c ( 1 - 0)
lim t → ∝ v(t) = (m g)/c
Thus, the required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
The question is incomplete. The complete question is 'v = mg c (1 − e−ct/m) where g is the acceleration due to gravity and c is a positive constant describing air resistance. (a) Calculate lim t→∞ v.'
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During a magic trick, a magician twirled a ball on a string horizontally at a constant rate. He then doubled the length of the string but maintained the rate at which the ball rotated. Which of the following factors remained constant? A angular velocity B centripetal acceleration с centripetal force
Correct option is C, Centripetal force remains constant.
Centripetal Force -
Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity.
A net force that keeps an object moving in a circular motion is known as a centripetal force.
Centripetal force has the formula =mv2r. The newton or kgms2 is the measure of force.
A centripetal force is applied to any item travelling in a circle (or along a circular path). In other words, the object is being physically pushed or pulled in the direction of the circle's center. This is the necessary centripetal force.
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Burning coal yields about 30 X 106 J of energy per kilogram of coal burned. Assuming that the coal power plant is 30% efficient, how much coal has to be burned to light that light bulb for one day
1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules
what is coal used for ?
In the United States, coal is largely utilised as a fuel to create electricity. Bituminous coal, subbituminous coal, or lignite are burnt in coal-fired power plants. The heat generated by coal combustion is utilised to turn water into high-pressure steam, which powers a turbine and generates electricity. According to the US Energy Information Administration, coal-fired power stations provided around 23% of all energy in the United States in 2019.
Steel may also be made from certain kinds of bituminous coal. Coal used to make steel must have a high carbon content while being low in moisture, ash, sulphur, and phosphorus. Metallurgical coal is coal that fits certain requirements.
1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules
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Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
According to the question the rotational kinetic energy of a 12-kg motorcycle wheel is 809.14 J
What does rotational kinetic energy?The SI unit for rotational kinetic energy is the joule (J). The rotating kinetic energy formula has a similar structure to a translational kinetic energy equation. Kinetic energy is created by spinning objects around an axis. This type of energy is influenced by the object's mass, weight, and center of mass angle with respect to the axis.
Given data -
Mass = 12-kg
Angular velocity (ω) -120rad/s
inner radius = 0.280 m
outer radius = 0.330 m.
By using the formula
I = ½*M (r1² + r2²)
I = ½ *(12) * (0.2802 + 0.3302)
I = 1.1238 Kgm2
K.E = ½*Iω2
K.E = ½ * (1.1238)*(120)2
K.E = 809.14 J
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water can be thought of as a mass of moving particles what evidence supports this idea.
When temperature of water rises, it stats moving from higher to lower temperature area - this evidence supports that water can be thought of as a mass of moving particles .
What are the properties of liquid?The volume retention and conformity to the shape of a liquid's container are two of its most noticeable physical characteristics. When a liquid substance is poured into a container, it conforms to the shape of the container and will stay inside the container so long as the liquid state persists.
Water is a liquid. Hence, water can be thought of as a mass of moving particles.
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What details can you add to your model of sound? model being a slinky
Answer:
I really hope this helps
Explanation:
When a rubber rod is rubbed with wool, the rod becomes negatively charged. What can you conclude about the magnitude of the wool's charge after the rubbing process
The wool must start out negatively charged before becoming positively charged after donating its electrons to the rubber rod.
What happens when wool is rubbed on a rubber rod?A rubber rod becomes negatively charged when wool is brushed against it, and the magnitude of the charge on the wool is equal to the charge on the rod. By applying the same amount of negative charge to the rod, the wool becomes positively charged.
Why does a polythene rod become negatively charged when it is brushed against wool?Electrons generate energy while rubbing a polythene rod with a duster because of the friction. When they have enough energy, electrons can escape from an atom and "rub off" onto a polythene rod.
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A myopic person sees that her eyeglasses perscription is -4.00 D, for eyeglasses positioned 1.75 cm from her eyes. What is her far point?
After solving the problem the person's far point is 25 cm
What is myopic person?
A myopic person is someone who is near sighted and is unable to clearly see objects that are far away. This is caused by the eyeball being too long and the cornea having too much curvature. Light entering the eye is focused in front of the retina rather than directly on it, resulting in blurred vision for distant objects. Myopia is a common eye condition and can usually be corrected with glasses or contact lenses. In more severe cases, laser surgery may be necessary. People with myopia may need to wear their glasses or contact lenses all the time in order to see clearly, but they may be able to take them off when they are close to something they want to see clearly.
The far point is the farthest distance at which a person can see clearly without any corrective lenses.
The formula for calculating far point is 1/f = 1/d + 1/p, where f is the far point, d is the distance from the eye to the lens (1.75 cm in this case), and p is the power of the lens (in diopters) which is -4.00 D.
Plugging the values into the formula yields 1/f = 1/1.75 + 1/-4.00, which simplifies to 1/f = 4.00 - 0.5714. Solving for f gives f = 0.2500, or 25 cm.
Therefore, the person's far point is 25 cm.
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What is the density of a sample if its mass is 44.2g and its volume is 22.1cm3?
Taking into account the definition of density, the density of a sample if its mass is 44.2 g and its volume is 22.1cm³ is 2 g/cm³.
Definition of densityDensity is the ratio of mass to volume of a substance. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
The expression for the calculation of density is:
density= mass÷ volume
This means that density (ρ) is equal to mass (m) divided by volume (v) and it is possible to deduce that density is inversely proportional to volume: the smaller the volume occupied by a certain mass, the greater the density.
Density is one of the physical properties of matter that can be observed in its different states: solid, liquid, and gas.
Density of the sampleIn this case, you know that:
Mass= 44.2 gVolume= 22.1 cm³Replacing in the definition of density:
density= 44.2 g÷ 22.1 cm³
Solving:
density= 2 g/cm³
In summary, the density is 2 g/cm³.
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I walked 45 m East then turned to the north and walked 30 m. What was the magnitude of my displacement?
The magnitude displacement vector's magnitude (or length), which is indicated by the arrow's length, measures the separation between the locations.
How can I determine how much movement there is?d = (((x2 - x1)2 + (scaling factor - y1)2)12 represents the displacement's magnitude. The displacement vector's size, or distance d, is its length. The guided line segment connecting P1 and P2 is the displacement vector's (d) direction. We refer to this straight line segment as a geometric or look of the scalar d.
What is a displacement example of what magnitude?When we talk about magnitude, we don't only imply the amount of a displacement; we also imply its orientation just a number with a unit As just an illustration, the professor might repeatedly pace back and forth, possibly
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Imagine some cosmic catastrophe jolts Earth so that its axis is perpendicular to the orbital plane between Earth and the sun. The most obvious effect of this change would be ____.
Any cosmic catastrophe jolts the Earth so its axis is perpendicular to the orbital plane between Earth and the sun. Then, the significant effect will be the elimination of the variation of seasons.
A cosmic Catastrophe is a thought experiment in which the sun disappears in an instant. A Planetary Response gradually creates a supranational agency to protect life on Earth from natural threats from terrestrial (pandemics, mega volcanoes, major earthquakes, etc.) and celestial bodies (comets, asteroids, meteor storms, etc.). I am asking you to Variation in a time series within a year that repeats more or less regularly. Seasonal variations can occur due to temperature, precipitation, holidays, seasonal cycles, or holidays. Seasonality is defined as the cyclical changes in food and agricultural labor availability caused by climate change in rural areas of the least developed countries (LDCs).
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How does using myNav Accenture to help its client become more sustainable?
Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.
by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.
reduces the expense of transportation
creates a design that is appropriate and aids the customer in becoming more sustainable.establishes sustainable guidelines for disposing of outdated technology.
myNav Green Cloud Advisor assists businesses in developing cloud solutions that cut carbon emissions and create a platform for ethical innovation. Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers.
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Light demonstrates the characteristics of _______________. particles only waves only both photons and particles both waves and particles
Both the features of waves and particles can be seen in light.only photons and particles only photons and particles, only waves.
Photons are they both waves and particles?Both a wave as well as a particle description of light are possible.The dual character of light has been highlighted in particular by two investigations.When we consider that light is composed of tiny particles, we refer to those particles as "photons."
What are waves and particles both?The following is the image for 'photons & particles combining waves and particles'.While electromagnetic radiation behaves both like a wave and a particle at the same time, it propagates according to linear wave equations and can only be released or absorbed in discrete pieces.
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If an airplane were traveling westward with a thrust force of 450 N and there was a headwind (drag) of 200 N, what would the resulting net force be on the airplane
The net resultant force on the airplane, based on the data provided in the question, is 250 N.
How can the net force that results be calculated?Calculate the resultant force by deducting the larger force's size from of the smaller force's magnitude. The direction of the smaller force and the resulting force are identical. The resulting force is useful because it allows us to think about the several forces as as if they were one. To measure the effects of different forces on a thing, in other words.
Given data -
Thrust force = 450 N
headwind (drag) = 200 N
Net force = 450 - 200
Net force = 250 N.
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Gravity on the surface of the moon is only 1 6 as strong as gravity on the Earth. What is the weight of a 35 kg object on the Earth
Answer:
Weight of a 35kg object on Earth is 350N, while it is 56N on the Moon.
Explanation:
The conversion of mass (kg) to weight (N) on Earth is 1kg to 10N.
Thus, the weight of a 35kg mass on Earth is
35kg × 10 = 350N
On the Moon, conversion of mass to weight is 1kg to 1.6N.
Thus, the weight of a 35kg mass on the Moon is
35kg × 1.6 = 56N
Remember, mass remains constant regardless of location, while weight depends on the strength of the gravitational field.
Arrange the objects from smallest to largest. swap_vert The diameter of Europa swap_vert The diameter of the rings around Saturn swap_vert The diameter of Charon
According to the given information the correct order is Charon ,Europa, Rings around Saturn.
What does diameter mean?A straight line that cuts through the middle of a figure and body is called a diagonal. Particularly: the width of a diameter; a line segment passing thru the center of the circle with its endpoints on the circumference.
What is larger, diameter or width?A circle's diameter is measured as the width of a line connecting its two center points. Since diameter only applies to circular or circularly based objects, such as a sphere or cylinders, the length and width must always be equal.
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Answer:
the order goes
G
E
C
A
Explanation:
Hope this helps.
A rope of length L is attached to a support at point C. A person of mass m, sits on a ledge at position Aholding the other end of the rope so that its horizontal and taut, as shown above. The person then dropsoff the ledge and swings down the rope toward position B on the lower ledge where an object withmass m₂ is at rest. At position B the person grabs hold of the object and simultaneously lets go of therope. The person and object then land together in the lake at point D, which is a vertical distance Lbelow position B. Air resistance and mass of the rope are negligible. Derive expressions for each of thefollowing in terms of m₁, m₂, L, and g.
Insignificant are air resistance and rope mass. Point C on a support is where a rope of length L is fastened.
What is meant by mass?As a measure of inertia, which is a characteristic of all matter, mass is used in physics. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body.The amount of matter that makes up any object or body is best referred to as its mass. All of the objects we perceive have mass. There is mass in objects like tables, chairs, beds, footballs, glasses, and even air. As a result, every object has a mass, which determines whether it is light or heavy.The amount of matter in a thing is measured by its mass.To learn more about mass refer to:
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Does mass affect change in temperature?
Mass doesn't affect change in temperature
Simply put, mass is the quantity of material that is present. As a result, since there will always be the same amount of matter present, changing the temperature has no direct impact on mass.
A substance's temperature is a gauge for determining how hot or cold it is. It serves as a gauge for typical kinetic energy. The molecules of the substance move very swiftly at high temperatures. The molecules move very slowly when the temperature is low.
A thermometer is used to measure temperature, however there are numerous other sorts of units that can represent temperature. Fahrenheit, Celsius, and Kelvin are the most widely used units. Heat and temperature are two different concepts that shouldn't be confounded. Heat, as opposed to temperature, is a type of energy and is quantified in Joules.
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A 5 kg block is on a frictionless surface. A 15 n force is applied To the the block in a direction parallel to the surface. What is the acceleration of the block?
The acceleration is 3 [tex]m/s^2[/tex] when a block with a mass of 5 kg is pulled with a force of 15 n.
The block will experience a net external force of 15 N due to the frictionless surface it is kept in place on.
The block weighs 5 kg.
F = m × a
There is a net external force (F), mass (m), and acceleration acting on the object in this situation (a).
Using the appropriate values in place of F and m:
15 = 5 × a
15/5 = a
3=a
Taking 5 as a factor, we get 3 = a.
As a result, a 5-kilogram item is drawn over a friction less surface with an acceleration of 15 N is 3 m/s².
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2 points
A car traveling at 25 m/s forward completes a sharp turn to the left. Fully
explain what an unbuckled passenger in the car experiences as the car
moves through the turn, assuming the passenger completes the turn in
the car. You must also properly explain inertia's role in this scenario *
An unbuckled passenger in the car experiences movement towards right side due to inertia as the car moves towards left.
According to Newton's first law of motion, every body continues to be in a state of rest or of uniform motion unless an external force acts upon it. This is called inertia. It is the tendency of an object to resist change.
As a result, when the car makes a sudden left turn, the passengers appear to move to the right side of the vehicle because they are still travelling in the same straight line that the car was travelling in before the turn.
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If the impact of the golf club on the ball in the previous question occurs over a time of 2 x 10^-3 seconds, what force does the ball experience to accelerate from rest to 73 m/s
The force experienced by the ball to get accelerated was found to be 3.65.
What exactly does acceleration means ?The rate of change in velocity is defined as acceleration. The magnitude of acceleration at every point along a trajectory is provided by the rate of change of velocity in both magnitude and direction at that location. The real acceleration at time t is determined in the limit as a time interval.
Time = 20s
The initial velocity is 0m/s.
Final speed = 73m/s
Unknown: Experience with forcing the ball =?
To answer this problem, we use Newton's second law of motion's equation:
formula for force was :
F=ma
The mass is denoted by m.
The final velocity is denoted by v.
The starting velocity is denoted by u.
It is the amount of time spent
So;
F = m (v - u / t)
F = m (73-0/20)
= 3.65 times mass
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1 pts What is the work required to raise a 25.0 kg object from the surface of the Earth to a height of 3.33 m
The work required to raise a 25.0 kg object from the surface of the earth to a height of 3.33 m
Formula: F = 25.0, D = 3.33, and W =?
W = F x D
Putting values together equals 25.0 x 3.33 W = 83.25 j.
Work = force times distance, or W = Fd.
F = W/d for force
Distance: W/F = d
W = work, F = force, and D = distance.
The integral of such a force applied over a displacement distance is referred to as "work." When one engages in work, they are doing something that requires them to use their strength or force.
When energy is transferred to an item, it is considered to have undergone work in science.
The integral of such a force applied over a displacement distance is referred to as work. When one engages in work, they are doing something that requires them to use their strength or force.
When energy is transferred to an item, it is considered to have undergone work in science.
The physics formula for work
The physics equation or formula is:
W = Fd
Work (force times distance)
For force, F = W/d.
Distance: W/F = d
The scalar dot product of force and displacement also yields work.
FDCos = W
Work-related SI unit :
Joule is the SI unit of work (J). The work performed by a force of one newton operating over a distance of one meter is defined as one joule in this context. kgm2s-2 is the SI base unit of work.
Work can be defined as the quantity of energy that a force transfers. Calculate work Another name for physics is the joule calculator. Work is represented by the letter "W."
Work is defined as a motion that is caused by a resisting force and is quantified by the force's product into the motion component that is resolved in the force's direction. The size of it is ML2T-2.
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Can you help me please for exercise 2.
In the film Alone on Mars, Mark Watney faints in the rocket responsible for bringing him back to the ship
major. His colleague comments: “He has just taken 13 g, give him two minutes”. Before
going on an expedition, astronauts are prepared to undergo strong accelerations, commonly
quantified in g. On Earth, when a rocket "goes up to 1 g", it means that its speed increases by 10
meters per second, in one second.
The positions successively occupied by Mark have been represented. The duration separating
each position is equal to 0.50 seconds.
+M.
1) Calculate the values of the speeds vo
and go.
2) Prove that the variation of the
speed between times t. and t4 is:
AV = VA - VO = 260 m.s-1
3) What is the time interval At
separating position to and tA?
4) The acceleration 'a' is given by the
formula a = :
If, calculate the acceleration of
Mark between the M. and MA positions
Compare this acceleration with the
g-value. The sentence "He has just
take 13 g»>, it seems to you
correct?
Exercise 3: movement of the Moon (5
pt)
The Moon, the only natural satellite of the
Earth, is in orbit around it
for billions of years. Four
times smaller than the Earth, it puts.
The velocity, time and acceleration motion of Mark Watney rocket as he moves from M₀ to M₄ is described as follows;
1) v₀ = initial velocity = u
v₄ = u + 260 m/s
2) Δv = u + 260 m/s - u = 260 m/s
3) Δt = 2 seconds
4) Mark's acceleration is 13·g
What is motion under acceleration?Acceleration is the rate of change of velocity. Motion under a constant acceleration is one in which the velocity of the object changes as time changes.
The scale of the graph is 5 units = 46 meters
The distance between M₀ and M₄ = 25.5 units
1 unit = 46/5 meters/unit
25.5 units = (46/5) m/unit × 25.5 units = 234.6 meters
The time between M₀ and M₄ = 0.5 s × 4 = 2 s
= 25.5 unit × 0.5 s/unit = 12.75 s
The speed at M₄, v₄ =
The location of M₀ = 0
The location of M₄ =
The values of the speeds are;
The distance be
1) The time at M₀, t₀ = 0
The time at t₄ = 2 s
The speed, v = u + a·t
Where;
u = The initial velocity of the rocket
a = The acceleration = 13·g = 13 × 10 m/s² = 130 m/s²
The speed at v₀ = u + 130 m/s² × 0 s = u
The speed at v₄ = u + 130 m/s² × 2 s = 260 m/s2) The variation of the speed between v₄ and v₀, Δv, is found as follows;
Δv = v₄ - v₀
Therefore;
Δv = 260 m/s - 0 m/s = 260 m/s3) The number of change in position from M₀ to M₄ is found as follows;
M₀ to M₁M₁ to M₂M₂ to M₃M₃ to M₄The number of 0.5 seconds between M₀ and M₄ = 4
The time difference between t₀ and t₄ is therefore;
Δt = t₄ - t₀ = 2 seconds4) The formula for the acceleration is; [tex]a = \dfrac{\Delta v}{\Delta t}[/tex]
Therefore, the acceleration between positions M₀ and M₄ is found as follows;
The speed at M₀ = u
Speed at M₄ = u + 260 m/s
t₄ - t₀ = 2 seconds
[tex]a = \dfrac{u+260 \, m/s - u}{2\, s} = 130\, m/s^2[/tex]
The value of the acceleration due to gravity, g ≈ 10 m/s²
Therefore, a = 13·g
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Select the correct answer. A boy is pushing a chair by applying a force of 5 newtons. His mother helps him push it faster by applying an additional force of 7 newtons in the same direction. What is the net force acting on the chair
Answer:
The net force is now 12
Explanation:
The boy is applying a force of 5 newtons + his mother is helping him to apply 7 newtons = 12 newtons.
At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. what is the angular position of the wheel at t = 2.0 s?
At t = 0, the wheel has an angular position of 2.3 rad and an angular velocity of 1.5 rad/s.
Since the wheel is rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s2, we can use the equation for angular position to calculate the wheel's angular position at t = 2.0 s.
Angular position = initial angular position + (initial angular velocity × time) + (1/2 ×angular acceleration ×time²)
Angular position at t = 2.0 s = 2.3 rad + (1.5 rad/s × 2.0 s) + (1/2 ×-0.40 rad/s2 × (2.0 s)²)
Angular position at t = 2.0 s = 2.3 rad + 3.0 rad + -1.6 rad
Angular position at t = 2.0 s = 3.7 rad
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You throw a ball vertically upward so that it leaves the ground with velocity 5. 68 m/s.
(a) What is its velocity when it reaches its maximum altitude? magnitude 0 Correct: Your answer is correct. M/s direction Incorrect: Your answer is incorrect.
(b) What is its acceleration at this point? magnitude -9. 8 Incorrect: Your answer is incorrect. The response you submitted has the wrong sign. M/s2 direction Incorrect: Your answer is incorrect.
(c) What is the velocity with which it returns to ground level? magnitude -5. 68 Incorrect: Your answer is incorrect. The response you submitted has the wrong sign. M/s direction Correct: Your answer is correct.
(d) What is its acceleration at this point? magnitude 9. 8 Correct: Your answer is correct. M/s2 direction Correct: Your answer is correct
The length of time needed to descend back to the earth's surface. Gravitational acceleration is equal to -9.8 m/s2. 2 s^2 s2
Explanation for the above answer:When anything is sent vertically upward, it slows down due to gravity. Up until it reaches a maximum height, where the velocity is zero, its speed is decreasing. After that, gravity accelerates it uniformly downward.
The three equations are as follows: v = u + at, v2 = u + 2as, and s = ut + 12at2.
What is the vertical velocity formula?With this knowledge, the vertical velocity formula, vf=vi+gt v f = v I + g t, can be used to calculate the object's terminal velocity. This equation is used by physicists to predict how any object will move on a vertical plane.
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Assuming the acceleration is still -9.81 m/s2, what is the instantaneous velocity of the shuttlecock when it hits the ground
The acceleration is still -9.81 m/s2, and the instantaneous velocity of the shuttlecock when it hits the ground is [tex]V_{int}[/tex] = [tex]\sqrt{U^{2} + 19.6H }[/tex]
Acceleration is determined as the rate of change of velocity of an object with respect to time. Acceleration is represented by the SI unit is meter per second squared (m/[tex]s^{2}[/tex]). Acceleration is denoted by "a".
Instantaneous velocity is the rate of change of position for a time interval which is almost zero (very small). The magnitude of the instantaneous velocity is instantaneous speed. It is measured by using SI unit m/s.
Mathematically, the equation for acceleration is:
a = [tex]v\frac{dv}{dt}[/tex]
ah = [tex]v^{2}[/tex] - [tex]u^{2}[/tex]
Where the acceleration is still -9.81 m/s2
Hence, [tex]v^{2}[/tex] - [tex]u^{2}[/tex] = 2 (-9.81) * -H
Therefore, [tex]v_{int}[/tex] = [tex]\sqrt{U^{2} + 19.6H }[/tex]
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What is the relationship between the mass of an object and the amount of thermal energy an object has?
The greater the mass of an object, the more particles there are in the sample and the more thermal energy it possesses at the same temperature. Assume you have some boiling hot water at 100 degrees Celsius to demonstrate this concept.
What is thermal energy and what are some examples?Thermal energy is shown by boiling water on a stove. Thermal energy is created when the atoms and molecules of a material vibrate faster as the temperature rises.
What is an example of a mass?Mass is best defined as the quantity of matter contained in any item or body. Everything in our environment has mass. For example, a table, a chair, your bed, a football, a glass, and even air has mass. That being said, all objects are light or heavy because of their mass.
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A block-spring system vibrating on a frictionless, horizontal surface with an amplitude of 6.0 cm has a total energy of 12 J. If the block is replaced by one having twice the mass of the original block and the amplitude of the motion is again 6.0 cm, what is the energy of the more massive system
In this spring-mass system, the total energy equals the elastic potential energy at the moment the mass is temporarily at rest at x = A = 6 cm (i.e., at the extreme ends of the simple harmonic motion).
Thus, E kA2 2 and we see that as long as the spring constant k and the amplitude A remain unchanged,
the total energy is unchanged. Hence, the energy is still 12 J.
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Select the correct answer. a heat engine has a cold reservoir of 250 k and a hot reservoir of 715 k. what is the maximum efficiency of the engine?
a. 65.0%
b. 60.8%
c. 73.6%
d. 58.6%
e. 69.1%
The maximum efficiency of the engine is a. 65.0%
The maximum efficiency of the heat engine is given by the Carnot efficiency, which is defined as:
Efficiency = (1 - (T cold / T hot)) * 100%
Where T cold is the temperature of the cold reservoir and T hot is the temperature of the hot reservoir.
Plugging in the given temperatures, we get:
Efficiency = (1 - (250 / 715)) * 100% = 65.0%.
So the answer is a. 65.0%.
So, using the temperatures given in the question:
Efficiency = 1 - (250 K/ 715 K) = 1 - 0.349 = 0.651 or 65.1%
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