The length of the spring in equilibrium is l = l0 +(mgsin(theta)/k in terms of the given quantities
a) The length of the spring in equilibrium can be calculated using the spring's force equation, F = -k(l-l0).The force exerted by gravity on the cart is mgsin (theta), which must be equal to the force exerted by the spring in order to achieve equilibrium. Setting these two forces equal to each other and solving for l gives:
l = l0 +(mgsin(theta)/k
b) When the cart is released from rest, it will have potential energy stored in the spring. This potential energy can be converted into kinetic energy as the spring expands. The velocity of the cart when the spring has first returned to its unstretched length can be found using the conservation of energy. The potential energy stored in the spring when the cart is released is (1÷2) kx2, and the kinetic energy at the point when the spring returns to its unstretched length is (1÷2) mv². Setting these two equal to each other and solving for v gives:
sqrt(2kx÷m) = v
c) The period of oscillation of the cart is the time it takes for the cart to complete one full oscillation. T = 2pisqrt(m/k) can be used to calculate it.
2pisqrt(m÷k) = T
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A light bulb is 60cm from a concave mirror with a focal length of 20cm. Use ray tracing to determine the location of its image. Is the image upright or inverted? Is it real or virtual. Verify your results by doing the calculations.
As we draw the ray diagram, the image seems to fall between the f and c. It was real, inverted and magnified image.
Here it is given that the focal length is 20 cm.
So the curvature of the mirror will be 2f = 2 ×20 = 40 cm.
The light bulb is 60 cm away from the concave mirror. So the object is beyond C. As per theory, if an object is beyond c, the image will fall between c and f, and it will be a real, diminished and inverted image. The ray diagram we draw also give the same result.
Lets look into calculations.
The distance between object, the image and focal length is related by the equation,
1/f = 1/v +1/u
v is the distance of image from mirror
u is the distance of the object from the mirror.
So , 1/v = 1/f - 1/u
= 1/20 - 1/60
= 60-20 / 1200 = 1/30
So v = 30 cm.
This proves the diagram we draw is correct.
So the image will be formed 30 cm away from the mirror and it will be real, inverted, diminished image.
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of the forces present in the external environment, which is considered to be significantly uncontrollable?
Of the forces present in the external environment, which is considered to be significantly uncontrollable are political forces, competition force. In physics, nuclear energy is uncontrollable.
The economy, politics, competitors, customers, and even the weather are all uncontrollable factors. the energies which are mentioned in the above part are the forces that are involuntary and voluntary both and can be controlled or cannot be controlled by our own means. we cannot tend to change it. the nuclear energy whereas is the energy that generally cannot be controlled and we have to make controls to take a control over it. this is involuntary and generally cannot be controlled. by this primary information, we can firmly conclude that of the forces present in the external environment, which is considered to be significantly uncontrollable are political forces, competition force. In physics, nuclear energy is uncontrollable.
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Three identical rocks are launched with identical speeds from the top of a platform of height 0 h . The rocks are launched in the directions indicated above. Rock 1, of mass m, reaches a maximum height hmax after being launched. During the time between the instant rock 1 is launched from height h0 and the instant it returns to height h0, the work done on the rock by the gravitational force is
The work done by the gravitational force on rock 1 can be calculated using the work-energy theorem. This theorem states that the net work done on an object is equal to the change in its kinetic energy.
What is gravitational force?Gravitational force is the attractive force between two objects that is proportional to their masses and inversely proportional to the square of the distance between them. It is the weakest force in nature and is the reason why objects with mass are attracted to each other. This force was first described by Isaac Newton in his law of universal gravitation, which states that the force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
Since the rock is launched from rest at a height of h0 and then returns to the same height, its kinetic energy does not change and therefore the net work done on the rock is zero. This means that the work done by the gravitational force on the rock is also zero, since the only force acting on the rock is the gravitational force.
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A helicopter flies with a ground speed of 250 km/h If the wind speed is 17 km/h southeast, what is the air speed?
The air speed of the helicopter has the ground speed of 250 km/h is 233 km/h
The ground speed of the helicopter = 250 km/h
The wind speed of the helicopter = 17 km/h
The air speed of the helicopter can be found using the formula,
G = W + A
where G is the ground speed of the helicopter
W is the wind speed of the helicopter
A is the air speed of the helicopter
Let us rearrange the equation in order to get the airspeed,
A = G - W
Let us substitute the known values in the above equation, we get
A = 250 - 17
= 233 km/h
Therefore, the air speed of the air speed is 233 km/h
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during the brutal mass arrest depicted on page 82, vladek is framed by a panel shaped like a jewish star (star of david). how does this device express his situation at that moment?
uring the brutal mass arrest depicted on page 82, vladek is framed by a panel shaped like a jewish star (star of david). how does this device express his situation at that moment?
The device of framing Vladek with a panel shaped like a Jewish star (Star of David) during the brutal mass arrest depicted on page 82 expresses his situation at that moment as one of persecution and identity.
The Jewish star is a symbol of Jewish identity and heritage, and the fact that Vladek is framed within it highlights the fact that he is being targeted specifically because of his Jewish identity. Additionally, the Jewish star is a symbol of the Holocaust and the persecution of Jews during World War II, so it serves to connect Vladek's experience of being arrested to the larger historical context of the Holocaust. Furthermore, it also serves as a reminder of the dehumanization and persecution of the Jews and the atrocities committed against them by the Nazi regime
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how many times greater is the intensity of the sound from a 1.0 t mri scanner compared to the intensity of the sound from a vacuum cleaner?
The noise from a 1.0 t mri scanner is five times more intense than the noise from a vacuum cleaner. Intensity of sound is measured as the quantity of sound per unit of perpendicular space.
W/m2, the SI unit for sound intensity, indicates I, the direction in which sound waves travel (watt per square meter). Sound intensity is often measured in Watts per square metre (W/m2). In order to determine how much sound energy a certain amount of noise emits in the air where the listener is standing, the standard definition incorporates calculation. The relative intensities of two sounds stated in bels are what the logarithm of the intensity ratio equals as a result.
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what is the direction of the final position vector r, measured from north? use counterclockwise as the positive angular direction,
By adopting anticlockwise as the positive angular direction, the final position vector, r, has a direction that is measured from the north. North West is the direction. It follows the right hand's thumb rule.
A vector is a physical quantity that has both magnitude and angular direction. It is frequently represented by an arrow that points in the same general direction as the amount and has a length appropriate to the size of the quantity. The direction of the position vector always points away from the vector's origin, in the general case. The position vector that is directed from O to P can be expressed as OP if P (x 1, y 1) is another point in the cartesian coordinate system and O is the origin.
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A car travels for 3 hours to a distant city 200 km due East. What was its (1) speed, (2) velocity?
Answer:
v=66.6km/hr
V=66.6km/hr due east
Explanation:
[tex]v= \frac{s}{t} [/tex]
given
s=200km
t=3hr
required
v=?
solution
v=s/t
v=200km/3hr
v=66.6km/hr
A large raindrop the type that lands with a definite splat--has a mass of 0.014 g and hits your roof at a speed of 8.1 m/s.a. What is the magnitude of the impulse delivered to your roof? Express your answer with the appropriate units.b. If the raindrop comes to rest in 0.37 ms, what is the magnitude of the force of the impact? Express your answer with the appropriate units.
The impulse delivered to the roof is -0.115 Ns and the magnitude of the force of the impact is -31.17 kN.
a. Impulse is defined as the product of the force acting on an object and the time over which the force is applied. In this case, the impulse delivered to the roof is the product of the force acting on the raindrop and the time it takes for the raindrop to come to a stop after hitting the roof. Since we don't know the time of impact, we can use the impulse-momentum theorem which states that the impulse of a force acting on an object is equal to the change in momentum of the object.
The impulse delivered to the roof is given by J = Δp = pf - pi
The initial momentum of the raindrop is given by pi = m * vi = 0.014g * 8.1 m/s = 0.115 Ns
Since the final velocity of the raindrop is zero (it comes to rest), the final momentum is zero. Therefore, the impulse delivered to the roof is J = pf - pi = 0 Ns - 0.115 Ns = -0.115 Ns
b. To find the force of the impact we can use the equation: F = J/t
where F is the force of the impact, J is the impulse delivered to the roof, and t is the time it takes for the raindrop to come to a stop after hitting the roof.
We have that t = 0.37 ms = 0.00037 s
So F = J/t = -0.115 Ns / 0.00037 s = -31167.57 N or -31.17 kN
Here, the negative sign of the force tells us that the force is opposite to the direction of motion, which means that the force is acting to stop the motion of the raindrop.
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most of the focusing is done at the front of the eye by a clear membrane that bends light inward. this membrane is called the question 39 options: a) cornea. b) pupil. c) iris. d) lens.
At the front of the eye, most of the focusing is performed by the cornea, a transparent membrane that bends light inward. The ideal selection is A. The cornea, which is transparent and forms the front of the eye.
Shields the iris and pupil. The anterior chamber, etc. Around two thirds of the optical power of the eye is refracted by the cornea, anterior chamber, and lens. Light, often known as visible light, is electromagnetic radiation that can be seen by humans. The wavelengths of visible light are commonly thought to range from 400 to 700 nanometers (nm), or from 750 to 420 terahertz. In physics, a force is an effect that has the ability to change how an object moves.
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how long does it take a plane, traveling at a constant speed of 180 m/s, to fly once around a circle whose radius is 2700 m?
It would take the plane approx. 93 seconds to fly once around circle, traveling at a constant speed of 180 m/s
What is meant by speed ?Speed is defined as the rate of change of position of object in any direction. Speed is measured as the ratio of distance to the time in which that distance was covered.
The circumference of a circle is 2 * pi * radius, where pi is approximately 3.14. Therefore, circumference of the circle with a radius of 2700 m is:
2 * pi * 2700 m = 16,800 m
Given, constant speed of 180 m/s
As, distance = speed * time
So, time = distance / speed
time = 16,800 m / 180 m/s
So, time = 93.333 seconds or 93 seconds and 20 milliseconds
It would take plane approximately 93 seconds to fly once around the circle, traveling at the constant speed of 180 m/s
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Which of the following shows the shape of a position-time graph for an object with constant acceleration?
Answer:
c
Explanation:
The position vs. time graph of an object with constant acceleration is a parabolic curve. The curvature is upward for positive acceleration and downward for negative accelerations.
Answer:
C
Explanation:
The relationship between distance and acceleration is dependent of the square of the time the unit is accelerating: (1/2)*a*t^2, where a is the acceleration and t is the time. Since the time is squared, and it falls on the x axis, each increse in time produces a squared impact on distance.
Explain the working mechanism of a pinhole camera with a help of diagram.
Explanation:
A pinhole camera is the simplest yet most misunderstood camera. It takes amazing pictures, Get yourself a box that has a top and bottom which can be pulled apart 4 x 5 is a good size and available in the gift box department of Dollar Tree store.Poke or drill a small hole 1/8" dia. Put a piece of black electrical tape over the hole and have a small tab on the end so you can grab it and pull it off as the hole becomes the lens and shutter. Put a sheet of film on the bottom "a still scene" works best and pull the black tape off the hold quickly and replace it quickly. (try to use a slow speed film) The picture is done and you can take the film out inside your darkroom and develop it. If you can get ortho cromatic film from a printers office or newspaper that would work best as this type of film can be watched under a red light in the darkroom to see how it is developing so you do not over develop the negative. Ortho film was the firs dry film invented and is sensitive to all colors of light except red so you can watch it being developed in the darkroom under red light.A brass is 1 m long. If the coefficient of expansion in length of the brass is 0.000019/K and the increase in length of the brass is 5.757 mm. How much temperature change occurred?
The temperature change that occurred when the 1 m long brass experience an increase in length of 5.757 mm is 303 °C
How do I determine the temperature change?Coefficient of linear expansion is given by the following formula:
α = ΔL / L₁(ΔT)
Where
α is the coefficient of linear expansionΔL is the change in length L₁ is the original lengthΔT is the temperature changeWith the above formula, we can obtain the temperature change as illustrated below:
Original length (L₁) = 1 m = 1000 mmCoefficient of epansion (α) = 0.000019 K¯¹ Change in length (ΔL) = 5.757 mmTemperature change (ΔT) = ?α = ΔL / L₁(ΔT)
0.000019 = 5.757 / (1000 × ΔT)
Cross multiply
0.000019 × 1000 × ΔT = 5.757
0.019 × ΔT = 5.757
Divide both sides by 0.019
ΔT = 5.757 / 0.019
ΔT = 303 °C
Thus, we can conclude that the temperature change is 303 °C
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Why is it important to familiarize the different transferring design methods in embroidery?
please... tle subject po ito pero wala sa choices yung subject maya ginawa ko nalang pong physics because it's required
Why is it important to familiarize the different transferring designs?
Answer:1. To know the best methods and steps on how to transfer designs. This is important for learning embroidery.
2. Try to Improve my skills and learn from my experience.
3. To keep everything organized and clean so that it is easier to work with.
4. By making sure to follow good working habits and make sure to keep my place clean.
To know the best method and steps on how to transfer design. This is important for learning embroidery. It means that there is a critical difference between learning during instruction and the application of that learning in the real world.
Explanation:Hope it helped save your day and don't forget to rate-me down below!Your Best Frend,Edwin
What is the kinetic energy of Usain Bolt if he has a mass of 80 kg and is sprinting at 10 m/s?
Answer: The kinetic energy of Usain Bolt, who has a mass of 80 kg, is 4000 Joules.
Explanation:
What is the kinetic energy of Usain Bolt if he has a mass of 80 kg and is sprinting at 10 m/s?
Data:
m = mass = 80 kg
V = velocity = 10m/s
Ec = Kinetic energy = ?
To calculate the kinetic energy of Usain Bolt, we apply the following formula, substitute data and solve:
Ec = m * v²/2 Ec = (80 kg * (10 m/s)²)/2 Ec = (80 * 100 m²/s²)/2 Ec = 4000 JTo learn at https://brainly.com/question/15579795To learn at https://brainly.com/question/14165786Formula for Kinetic Energy:
[tex]KE=.5mv^2[/tex]
kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2
__________________________________________________________
Given:
[tex]m=80kg[/tex]
[tex]v=10m/s[/tex]
[tex]KE=?[/tex]
__________________________________________________________
Finding kinetic energy:
[tex]KE=.5mv^2[/tex]
[tex]KE=.5(80)(10)^2[/tex]
__________________________________________________________
Answer:
[tex]\fbox{4000 Joules}[/tex]
during a recent winter storm, bales of hay had to be dropped from an airplane to a herd of cattle below. assume the airplane flew horizontally at an altitude of 210 m with a constant velocity of 47.0 m/s and dropped one bale of hay every 2.0 seconds. it is reasonable to assume that air resistance will be negligible for this situation. about how far apart from each other will the bales land on the ground?
According to the question,The bales will land on the ground about 94 meters apart from each other.
What is the meters ?
Meters are a unit of measurement for length in the metric system. The worldwide standard for length is the meter, which is equal to 100 centimeters or 1/1000 of a kilometer. The symbol for meters is m. Meters are commonly used to measure the length of objects, such as the height of a person or the width of a room. Meters are also used to measure the distance between two points, such as the distance between two cities.
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c) The value of the membrane potential at the peak of the action potential is +25 mV. Which ion species is most conductive at the peak of the action potential?
During the peak of the action potential, the voltage-gated sodium channels open, allowing a large influx of positively charged sodium ions (Na+) into the cell, which causes the membrane potential to rapidly become more positive and Na+ ions are the most conductive.
The peak of the action potential is characterized by a large influx of positively charged ions, primarily Na+ ions. The value of the membrane potential at the peak of the action potential is +25 mV. This positive value indicates that the inside of the cell is more positively charged relative to the outside of the cell.
During the peak of the action potential, the voltage-gated sodium channels open, allowing a large influx of positively charged sodium ions (Na+) into the cell, which causes the membrane potential to rapidly become more positive.
This rapid depolarization of the membrane is the result of the increased conductivity of the Na+ ions. Therefore, at the peak of the action potential, Na+ ions are the most conductive.
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an ice cube is placed in a microwave oven. suppose the oven delivers 105 w of power to the ice cube and that it takes 30200 j to melt it.how long does it take for the ice cube to melt?
It will take 287.6 seconds for the ice cube to melt under the given conditions.
What is melt?Melt is a process in which a solid material is heated to its melting point, causing it to become a liquid. It is a physical process that occurs when a material is heated beyond its melting temperature, resulting in the formation of a liquid.
The amount of time it takes for the ice cube to melt depends on the mass of the ice cube. The equation to calculate this is:
Time (in seconds) = (30200 J)/(105 W x Mass of Ice Cube)
Assuming that the mass of the ice cube is 1 kg, then the time required to melt the ice cube is:
Time (in seconds) = (30200 J)/(105 W x 1 kg)
Time (in seconds) = 287.6 seconds
Therefore, it will take 287.6 seconds for the ice cube to melt under the given conditions.
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It will take 287.6 seconds for the ice cube to melt under the given conditions. This can be solved using the concept of heat.
What is melt?Melt is a process in which a solid material is heated to its melting point, causing it to become a liquid. It is a physical process that occurs when a material is heated beyond its melting temperature, resulting in the formation of a liquid.
The amount of time it takes for the ice cube to melt depends on the mass of the ice cube.
The equation to calculate this is:
Time (in seconds) = (30200 J) / (105 W x Mass of Ice Cube)
Assuming that the mass of the ice cube is 1 kg, then the time required to melt the ice cube is:
Time (in seconds) = (30200 J) / (105 W x 1 kg)
Time (in seconds) = 287.6 seconds
Therefore, it will take 287.6 seconds for the ice cube to melt under the given conditions.
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an electron with an initial speed of 5.50×105 m/s is brought to rest by an electric field.a)Did the electron move into a region of higher potential or lower potential? b)What was the potential difference that stopped the electron?In Vc)What was the initial kinetic energy of the electron, in electron volts? In eV
The electron will enter into a lower potential region by energy conservation.
What are the ways to conserve energy?Utilizing less energy is a choice and a practice known as energy conservation. When not in use, appliances should be disconnected, lights should be turned off when leaving a room, and walking is preferable to driving.
What is a good illustration of energy conservation?Similarly to this, according to the rule of conservation of energy, energy cannot be created or destroyed. For instance, when a toy car is rolled down a ramp and slams into a wall, kinetic energy is transformed into potential energy.
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as defined in the fundamentals of architecture, chapter 4, orthographic projection, is defined as: a. a means of representing a three-dimensional object in two dimensions b. a means of representing a four-dimensional object in three dimensions c. a means of understanding how sunlight enters a building d. a means of representing a building as it would be seen in real life
A 3D object can be represented utilizing many 2D views of the object using an orthographic projection. Multiviews are another name for orthographic drawings.
What does orthographic projection mean?Three two-dimensional drawings are typically used in an orthographic projection, a standard technique for portraying three-dimensional objects. In each picture, the item is seen from parallel lines that are perpendicular to the plane of the drawing.
What are an orthographic drawing's three major views?Although a sketch can have six different sides, three perspectives are typically sufficient to create a three-dimensional object. They are called the front view, top view, and end view, respectively. These views are also known by the terms plan, elevation, and section.
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Why is it important to keep the temperature and the
amount of water the same when testing surface area?
momentum vectors. 12. An 8 g bullet is fired from a rifle. The bullet passes through a 10 cm plank. This reduces the bullet's velocity from 400 ms west to 300 ms¹ west. a) Calculate the bullet's initial momentum.
The initial momentum of the bullet is 3.2 kg m/s.
What is the principle of conservation of linear momentum?The principle of conservation of linear momentum states that in an isolated system, the total momentum of the system is always conserved.
Based on the law of conservation of linear momentum, the sum of the initial momentum of an object is always equal to the sum of the final momentum of the object.
Pi = Pf
Pi = mv
where;
m is the mass of the objectv is the initial velocity of the objectThe initial momentum of the bullet is calculated as follows;
Pi = ( 400 m/s ) x ( 0.008 kg )
Pi = 3.2 kg m/s.
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What waves are transverse waves that disturb electromagnetic fields?
Radio waves are transverse waves that disturb electromagnetic fields.
What is electromagnetic fields?Electromagnetic field, a feature of space brought on by the movement of an electric charge. Only an electric field will be generated by a stationary charge in the surrounding area. A magnetic field is also created if the charge is in motion.
A changing magnetic field can also create an electric field. An electromagnetic field is created by the mutual interaction of electric and magnetic fields. This field is thought to exist independently of any charges or currents (a stream of moving charges) to which it may be related. It is possible to think of this electromagnetic field in some situations as an electromagnetic energy-transporting wave.
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A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km.
If the distance of the satellite from the surface of the moon varies from 357 km to 710 km, the equation of the ellipse is:
x²/(1669)² + y²/(1316)² = 1.
What is ellipse?In mathematics, an ellipse is a planar curve with two focal points, where the total of the two distances from any point on the curve to the focal points is a constant.
Length of semi-major axis = (959 km + 710 km) = 1669 km.
Length of semi-minor axis = (959 km + 357 km) = 1316 km.
Hence, the equation of the ellipse is:
x²/(1669)² + y²/(1316)² = 1.
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Please help me, thank you!
Answer:
deeper red
Explanation:
hope this helps
two charged particles are a distance of 1.62 m from each other. one of the particles has a charge of 8.08 nc, and the other has a charge of 4.02 nc. (a) what is the magnitude (in n) of the electric force that one particle exerts on the other?
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Plugging in the values given in the problem, we get: 1.69 * 10^-3 N.
What is electric force?Electric force is the force that exists between two objects that have an electric charge. It is one of the four fundamental interactions of nature, alongside gravitational force, the weak nuclear force, and the strong nuclear force.
The magnitude of the electric force that one particle exerts on the other can be calculated using the equation F = k * (q1 * q2)/r^2, where k is the Coulomb's Constant (k = 8.99 * 10^9 Nm^2/C^2), q1 and q2 are the charges of the two particles, and r is the distance between them.
Plugging in the values given in the problem, we get:
F = (8.99 * 10^9 Nm^2/C^2) * (8.08 nC * 4.02 nC)/(1.62 m)^2
F = 1.69 * 10^-3 N
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in which of the following situations is the car accelerating? select one: a. the car is accelerating in all of the situations below. b. the car is accelerating when it travels different distances in the same amount of time. c. the car is accelerating when it goes around a curve at constant speed. d. the car is accelerating when it goes over a hill at constant speed. e. the car is accelerating when it is sitting still on the planet earth as it spins and orbits.
In every scenario, the automobile is accelerating. The automobile is accelerating in the scenarios below.
What do you meant by accelerated?gaining speed means moving more quickly. The vehicle accelerated gradually. The rate of change has quickened recently. To move through the grades more quickly than is customary.
Whatever happens when you speed up?Due to this, a shift in speed could be either a shift in how quickly something is going or a shift in the way it is moving. When an object accelerates, it alters its direction, speed, or both.
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Using mass and speed data from Example 8.1 and assuming that the football player catches the ball with his feet off the ground with both of them moving horizontally, calculate: (a) the final velocity if the ball and player are going in the same direction and (b) the loss of kinetic energy in this case. (c) Repeat parts (a) and (b) for the situation in which the ball and the player are going in opposite directions. Might the loss of kinetic energy be related to how much it hurts to catch the pass
Calculator for Velocity: v = u + at. Kinetic energy loss is equal to K=M1M22(M1+M2).
What is the straightforward meaning of velocity?The displacement that only an objects or particle experiences with regard to the time is expressed vectorially as velocity. The metres per second (m/s) is the accepted unit of fluid velocity (also known as speed).
What is an illustration of velocity?Velocity can be defined as the rate when something that moves in a specific direction. as the tempo of a car driving northwest on a highway or the pace at which a rocket takes off.
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if you accelerator fails, into which gear should a driver shift? select one: a. neutral (n) b. drive (d) c. park (p) d. reverse (r)
If accelerator fails, into neutral gear a driver should shift. The correct option is A.
What is gear?The amount of engine power available is determined by the gears. While fifth gear has the least pulling force but the widest range of speed, first gear has the most pulling power but the least potential for speed.
Keep calm and move to neutral in the event that the accelerator fails. Consider pressing the gas pedal to see if it reacts. Look for a place to leave the road that is secure. Brake and steer as softly as you can.
Thus, the correct option is A.
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