a car is traveling at a steady speed of 75 m/s and its velocity changes to 95 m/s in 10 s. what is its acceleration?

The correct graph is option A. This graph shows the volume of water in the birdbath over time, starting from the moment when water begins to flow in.

A graph is a visual representation of data or information, typically used to display patterns or relationships between different elements. It is made up of points, or nodes, which are connected by lines, arcs, or edges. Graphs can be used to represent mathematical relationships, physical distances, and other types of data such as networks, hierarchies, and geographical locations. Graphs are useful for visualizing complex information, and can help us gain insight into the data that would be difficult to understand from tables or spreadsheets alone.

The change in the water volume has a net gain of

20-18=2 mm/min

The birdbath's volume increases at a constant rate until it reaches its maximum and starts overflowing to keep a constant volume.

This is best represented by the graph A.

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Answer:

Q1)  -15 cm/s  and Q2)  2.143 kg

Explanation:

Q1)  mass of the first ball: M1 = 200 g

      initial velocity of the first ball: U1 = 30 cm/s

      mass of the second ball: M2 = 400 g

      initial velocity of the second ball: U2 = X cm/s

      final velocity of the first ball: V1 = 0 cm/s

      final velocity of the second ball: V2 = 0 cm/s

By using the law of conservation of momentum that states:

initial momentum = final momentum

(M1 x U1) + (M2 x U2) = (M1 x V1) + (M2 x V2)

however as after collision both the bass stick together their masses combine and the move together in the same direction with the same speed.

therefore;

(M1 x U1) + (M2 x U2) = (M1 + M2)(V)

(200 x 30) + (400 x X) = (400 + 200) (0)

6000 + 400X = 800 x 0

6000 + 400X = 0

X = -6000/400

X = -15 cm/s

( the minus sign indicates the opposite direction i.e. left)

Q2) M1 = 5 kg

M2 = X kg

U1 = 10m/s

U2 = -10 m/s ( as its the opposite direction)

V1 = 4 m/s

V2 = 4m/s

using the law of conservation of momentum:

(M1 x U1) + (M2 x U2) = (M1 x V1) + (M2 x V2)

( 5 x 10) + ( X x (-10)) = (5 x 4) + (X x 4)

50 - 10X = 20 + 4X

50 - 20 = 4X + 10X

30 = 14X

30/14 = X

2.143 kg = X

When the vapors expanded, the work was always positive, hence the energy is even less than 100 jewels. Therefore, this scenario is not plausible.

How much energy is one joule?

What is 1 J worth? It is sufficient to raise the temperature of a kilogram of water by one degree Celsius. A cup of coffee may be heated from ambient temperature to 50°C in roughly 12,000 J. A joule is therefore not a large amount of energy.

What other way can you express a joule?

In addition, one joule is equal to one watts of electricity radiated or lost each second. A developed SI unit of power is the joule. In addition to one megawatt second, one joule is also equal to 107 aerobic workouts, 0.2390 calories, and 0.738 foot-pound. The emblem of

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The amount of power her legs produce to offset the work done by the force of gravity as she runs up the hill is found to be 3021.28W.

W = Fd is the formula for the amount of work W that a constant force does on an object. It is computed by dividing the force's magnitude by the distance the object travels in the force's direction.

Jessie's mass m = 58Kg

power = F x V;

f = mg

=> 58 x 9.8 => 568.98N

V => d/t

d = 1.35m; t= 0.2541s

V => 1.35/0.2541 = 5.31m/s

Power => 568.98N x 5.31m/s => 3021.28W.

Technically speaking, power is the rate at which work is done whereas energy is the capacity for work (or delivering energy, according to Encyclopedia Britannica). The amount of energy necessary to repeatedly accomplish the same task is the same, but if you want to complete it more quickly, you can exert more power.

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When the robotic spacecraft Mars is 400 million kilometers away from Earth, we communicate with it via radio waves, which move at the speed of light.

The atmosphere, fortunately, shields life on earth. The surface is also not accessible to infrared and long wavelength radio frequencies. Light, which really is difficult for the air to absorb, close rays, and some magnetic fields make up the electromagnetic waves that we can often view on the ground.

In reality, radio waves go through space incredibly swiftly. Since radio waves are an electromagnetic wave, they travel at the speed as light. Light travels at a speed of slightly less than 300,000 km/s second. A light beam could circle the Earth's equator more than seven times in a sec at that speed.

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A disturbance that transfers energy from one place to another is known as a wave. Option A is the correct answer.

This refers to a disturbance that transfers energy from one place to another. A wave can take the form of elastic deformation, a variation of pressure, electric or magnetic intensity, electric potential, or temperature. Waves are of different types namely:

Properties of wave

The main properties of wave include:

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The work done by the frictional force will be 100,000 Joules.

In order to calculate the amount of work done by the frictional force, we must first determine the amount of force that is being exerted. In this case, a 1000-kg car is travelling at a speed of 25 m/s, and is experiencing an 8000 N force of friction.

To calculate the total amount of work done by the frictional force, we must use the equation: Work = Force x Distance, where Force is the amount of force in Newtons, and Distance is the amount of distance the car travels.

In this case, the Force is 8000 N, and the Distance is the amount of distance the car travels while it skids to a stop. Therefore, the total amount of work done by the frictional force is 8000 N x (25 m/s/2) = 100,000 Joules.

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The work that must be done on charges brought from infinity to a spherical shell of radius R = 0.100 m and total charge Q = 125 mc is 602J. Hence, option B is the correct answer to this question.

To calculate the work that must be done on charges brought from infinity to a spherical shell of radius R, we can use the formula for the electric potential energy, which is given by U = kq1q2/r

Where k is the Coulomb constant, q1 and q2 are the charges, and r is the distance between the charges.

In this case, the work done on a single charge of q = Q/n, where Q is the total charge on the shell and n is the number of charges, brought from infinity to a distance of r = R from the center of the spherical shell is given by:

W = qU = q(kq/R) = kq^2/R

Since the total charge on the spherical shell is Q = 125 mc and the radius of the shell is R = 0.100 m, the work done on each charge is:

W = kq^2/R = (8.99x10^9 N.m^2/C^2)(125x10^-6 C)^2/(0.100 m) = 602 J

Therefore, the work that must be done on charges brought from infinity to a spherical shell of radius R = 0.100 m and total charge Q = 125 mc is 602 J.

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The common velocity of clay 1 and clay 2 is 15 m/s. Option C

We know that a collision can be said to be inelastic when the momentum and the kinetic energy are not conserved. This implies that rather than having the objects move out in different directions, the objects would rather stick together and just move in the same direction.

In this case we would also need the law of the conservation of linear momentum. Recall that according to this law, the momentum before collision  would just be the same as the momentum after Collison.

Thus;

Momentum before collision = momentum after Collison

(2100 * 20) + (2500 * 0) = (2100 + 2500)v

Where v is the common velocity

v = 42000/4600

v =  15 m/s

Thus they would have the common velocity of 15 m/s

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The speed of the rock when it hits the ground vd is greater than the speed of the rock when it is thrown upward vu(vd>vu).

The rock will eventually reach its maximum height above the ground if thrown upward. It will fall back to the ground at the same vertical height at which it was thrown at a speed of 15 m/s. The rock's speed will increase above its initial speed of 15m/s as it continues to fall 100m below its initial vertical position.

Velocity is the rate of change in the position of an object in motion as measured by a specific time standard (e.g., 60 km/h northbound). Velocity is a key concept in kinematics, the branch of classical mechanics that studies body motion.

Velocity is a physical vector quantity that must be defined by both magnitude and direction. Speed is a coherently derived unit whose quantity is measured in the SI (metric system) as meters per second (m/s or ms1). For example, "5 m/s" is a scalar, whereas "5 m/s east" is a vector.

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In summary, radio waves and microwaves are important forms of EM radiation, but they are not the only ones. Sunlight, as well as for photosynthesis, the growth of plants, and the heating of the atmosphere.

what is atmosphere ?

Atmosphere is a layer of gases that surrounds the Earth and other planets. It is composed of nitrogen, oxygen, and other gases in small amounts. It helps to keep Earth's temperature stable, shield us from harmful ultraviolet radiation from the sun, and also helps to provide us with the oxygen we need to breathe.

The atmosphere is divided into five layers, each with distinct characteristics and functions. The troposphere is the closest layer to the Earth's surface and contains most of the Earth's weather and air pollution. The stratosphere is located above the troposphere and contains the ozone layer, which absorbs ultraviolet radiation.

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The noble gases have completely filled s and p sublevels and no electrons in d or f sublevels.

Noble gases are a group of elements in the periodic table located in group 18. They are also known as rare gases due to their low reactivity. The noble gases consist of helium, neon, argon, krypton, xenon, and radon. Helium is the lightest and most abundant noble gas in the atmosphere, while radon is the heaviest and least abundant. These gases are colorless, odorless, and tasteless. They are generally unreactive and do not form compounds with other elements. This is because their outermost electron shells are filled and therefore they do not gain or lose electrons easily. Noble gases are used in many everyday applications, such as fluorescent lighting, welding, and cooling systems. They are also used in the medical field as an anesthetic and in certain industrial processes.

1. The highest occupied s and p sublevels are completely filled. - TRUE
2. The highest occupied s and p sublevels are partially filled. - FALSE
3. The electrons which the highest energy are in a d sublevel. - FALSE
4. The electrons with the highest energy are in an f sublevel. - FALSE

The noble gases have completely filled s and p sublevels and no electrons in d or f sublevels.

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(a) The scalar x- and y-components of the displacement 300cm at 127⁰ are 259.9cm and 150.8cm respectively.
(b) The scalar x- and y-components of the displacement 500cm at 220⁰ are -400cm and -309.3cm respectively.

Displacement is a physical concept referring to the distance an object moves in a certain direction. It is a vector quantity, meaning it has both magnitude and direction. Displacement is not the same as distance, as distance is the total length traveled, while displacement is the change in position. Displacement can be measured in any unit of length, such as meters, feet, or kilometers.

(a) The scalar x-component of the displacement is 257.7 cm and the scalar y-component of the displacement is 213.3 cm.

(b) The scalar x-component of the displacement is -403.3 cm and the scalar y-component of the displacement is -281.3 cm.

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The scalar x- and y-components of the following displacements in the xy plane (a)300cm at 127⁰ is  -202.46 cm and -236.98 cm respectively, (b) 500cm at 220⁰​ is -417.51 cm and -132.96 cm respectively.

It is the difference between the initial and final position of an object and is usually measured in meters or other units of length. It can be calculated by subtracting the initial position vector from the final position vector. In physics, displacement is often used to describe the motion of an object in one dimension, such as along a straight line.

To find the scalar x- and y-components of a displacement in the xy plane, we can use trigonometry. The x-component of the displacement is given by:

x = r * cos(θ)

where r is the magnitude of the displacement and θ is the angle the displacement makes with the x-axis (measured in radians). The y-component of the displacement is given by:

y = r * sin(θ)

where r is the magnitude of the displacement and θ is the angle the displacement makes with the y-axis (measured in radians).

(a) For a displacement of 300 cm at an angle of 127°:

x = r * cos(θ) = 300 cm * cos(127°) = -202.46 cm

y = r * sin(θ) = 300 cm * sin(127°) = -236.98 cm

(b) For a displacement of 500 cm at an angle of 220°:

x = r * cos(θ) = 500 cm * cos(220°) = -417.51 cm

y = r * sin(θ) = 500 cm * sin(220°) = -132.96 cm

Note that in the above examples, the angles are converted from degrees to radians before using them in the trigonometric functions.

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In the first frame of reference, attached to the ground with its origin at a fence post, the momentum of the truck is given by the product of its mass and velocity.

As the truck is accelerating, its velocity is changing and therefore its momentum is also changing. The rate of change of the truck's momentum in this frame is equal to the force acting on the truck.

In the second frame of reference, attached to the police car that is traveling at a constant velocity, the truck is moving at a relative velocity with respect to the police car.

The momentum of the truck in this frame is still given by the product of its mass and velocity, but now the velocity is relative to the police car. The momentum of the truck will be different in this frame of reference.

The rate of change of the truck's momentum is not the same in these two frames. In the first frame, the rate of change of momentum is equal to the force acting on the truck.

However, in the second frame, the truck is moving with a constant velocity relative to the police car, so the rate of change of momentum is zero.

In summary, in the first frame of reference attached to the ground, the truck is accelerating and its momentum is changing, while in the second frame of reference attached to the police car, the truck is moving at a constant velocity relative to the police car, so its momentum is different but the rate of change of momentum is zero.

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According to the law of conservation of energy, the car that apply hard brakes will convert more kinetic energy to thermal energy. Hence option 'a' is correct.

Kinetic energy is any energy that an object gains as a consequence of motion. To accelerate an object, some force must be supplied to it. For apply a force, we must put more effort. After work is completed, energy is transmitted to the object, which then moves at a constant speed.

Running and pacing. When moving air strikes the blades of a windmill, it creates rotation, which ultimately results in the production of energy. When moving water's kinetic energy strikes a turbine at a hydroelectric facility, it is transformed into mechanical energy.

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The planets typically move from west to east and through stars, but when they encounter the portion of the orbital path that moves counterclockwise to the greater circle, they appears to reverse course.

The location or orientation of the body's motion changes with time. Translation is defined as displacement along a path or a curve. Rotation is a motion in which the body's orientation is altered. Displacement, duration, velocity, accelerated, time, and speed are all used to define motion.

Force is needed to bring about that transition in motion. The time it takes to cover a distance depends on your speed; the distance is calculated as both the length of a straight line connecting your starting and stopping points.

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Option d is Correct. As the rock comes to a stop, friction generates an average power of 313.6 watts.

Static friction prevents a body from starting to move when it is at rest. A body that is already moving is subjected to kinetic friction, which attempts to slow it down.

Self-adjusting static friction. The amount of external force used determines its coefficient. For instance, suppose a body is put on a rough surface with a weight of M and a reaction force of R = Mg.

You can use the formula P = Fv, where P is the average power, F is the frictional force, and v is 8.00 m/s, to find the average power of the sliding rock.

calculating the friction force F

N = mu * mu * mg

F = 0.200 * 20.0 kg * 9.8 m/s^2

F = 39.2 N

Finding the average power solution P

P = F * v

P = 39.2 N * 8.00 m/s

P= 313.6 watts.

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To sketch the paths that the two blocks of ice take during a turn draw, mark, and direct the arrows based on centripetal force.

To sketch the paths that the two blocks of ice take during a turn, you can follow these steps:

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In a limitless cosmos, there would therefore be an endless number all galaxies and planets. However, in an infinite world, there could only be finite amount if there was an infinitesimal likelihood that something would occur.

The biggest planet in own Solar System, Venus, can be viewed from Earth without the use of a telescope. Due to its constant and dazzling presence, Venus was granted the names "evening star" and "morning star."

Venus is the warmest planet within our solar system, with global temps hot enough to melt lead, thanks to its thick atmosphere that traps heat and causes a runaway greenhouse effect. Venus is around 700 degrees Fahrenheit (390 degrees Celsius) warmer that it would be without the greenhouse effect.

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The average force that acted on the car to bring it to rest is  1.2 × 10⁵ Newton.

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

The average force that acted on the car to bring it to rest is = - Change in momentum of the car/time interval

= (initial momentum - final momentum)/time interval

= (1200 kg × 10 m/s)/0.10 second

= 1.2 × 10⁵ Newton

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Diffraction is the phenomenon occurs when light passes through a glass plate with parallel, microscopic grooves on it.

When light travels through a diffraction grating, which is made up of numerous parallel slits that are evenly spaced apart, an intriguing thing happens. A very similar interference pattern to that produced by a double slit is produced.

A diffraction grating is an optical component that separates (disperse) light made up of a variety of wavelengths (such as white light) into its individual wavelength components. The most basic kind of grating has a lot of parallel slits that are widely separated from one another.

Diffraction gratings are optical components that split polychromatic light into its underlying constituent wavelengths in instruments like spectrometers.

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A kangaroo can jump over an object 2.23 m high, its vertical speed when it leaves the ground is about 6.7m/s.

The rate at which an aeroplane rises or descends is known as its vertical airspeed. They both differ in terms of ground speed. Tracking the aircraft's rate of rise, or vertical airspeed, is done by monitoring the rate of descent, also known as the sink rate, which measures how quickly the aircraft is sinking. A projectile's vertical motion, which varies by 9.8 m/s2 every second, is independent of its horizontal motion.

If u is the starting velocity and v is the ending velocity, then

v² = u² + 2gs

0= u²-2(9.8) (2.23)

u²= 4.6(9.8)

u² = 45.08

u = 6.7m/s.

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The work done by the machine is 14000 joules if the efficiency of the machine is 70% and the 20,000 Joules work is done on it.

Efficiency of the machine is the ratio of the work done by the machine and the work done on the machine. It is a unitless quantity. In other words, efficiency of a machine is the ratio of output and input of the machine.

Work done on the machine = 20000 J

Efficiency(η%) = 70%

Efficiency(η%) = (Work done by the machine×100)/work done on the machine

70% = (100 × work done)/(work supplied)

70/100 = work done/20000

Work done = (70×20000)/100

Work done = 14000 J

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The electric field inside the cavity in terms of ρ, ε₀,  r vector, and h vector is ρh/3ε₀.

Every point in space has an electric field connected to it when charge, in any form, is present. The strength and direction of the electric field are expressed by the value of E, which is also known as the electric field strength, electric field intensity, or simply the electric field.

The electric field inside the cavity as a vector in terms of ρ, ε₀,  r vector, and h vector is,

E'' = E -E' = ρ (h-a/4)/3ε₀ - ρa/4/3ε₀

E'' = E -E' =  ρh/3ε₀.

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The chemical energy used to drive the light independent reactions, also known as the Calvin cycle, is in the form of ATP and NADPH.

ATP, or adenosine triphosphate, is a high-energy molecule that stores and releases energy. It is produced during the light-dependent reactions of photosynthesis through the process of photophosphorylation. NADPH, or nicotinamide adenine dinucleotide phosphate, is another high-energy molecule that is also produced during the light-dependent reactions through the process of non-cyclic electron flow.

Both ATP and NADPH are used in the light independent reactions to power the conversion of carbon dioxide into glucose and other sugars. The energy from these molecules is used to drive the fixation of carbon dioxide by an enzyme called rubisco, which converts it into a carbohydrate called 3-phosphoglycerate. This process is the key to the synthesis of glucose and other sugars in photosynthesis.

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The object is pulled by the gravitate attraction, which causes it to curve away from a straight line of motion and nearly towards to the center of earth 2.0 х 10-7 n.a.

8. The Force of Gravity What gravitational force exists between two parcels weighing 15 kg and spaced 35 cm apart? What percentage of the volume of one package does this make up? The gravitational pull is 8.210 10 and 0.82 components per million of the mass since the weight is milligrams 147 N.

The Earth has a stronger gravitational force than the moon, thus to start answering your question merely because Earth is a larger planet. The rising and lowering of the tides is a result of the moon's gravity, which also has an impact on Earth. But the story doesn't end there.

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We can double the maximum speed of an object on a spring undergoing SHM by: a. Reducing the mass to one-fourth its original value, c. Doubling the amplitude, and e. Increasing the spring constant to four times its original value so option-a, c and e are correct

A motion is referred to as simple harmonic motion (SHM) when the restoring force is directly proportional to the body's displacement from its mean position. Always moving in the direction of the mean position, this restoring force.

When the restoring force is inversely proportional to displacement, oscillations become the most basic. Think back to the equation F = kx from Hooke's law, which describes this circumstance. The most basic type of oscillation, known as simple harmonic motion, is therefore described by and subject to Hooke's law.

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Option a, c, and e are accurate methods for increasing the spring constant to double the maximum speed of an object on a spring subject to SHM. Option a, c, and e involve reducing the mass to one-fourth its original value, doubling the amplitude, and increasing the spring constant to four times its original value.

Actually, the duration and frequency of SHM are solely influenced by the mass m and the force constant k.

When the restoring force is directly proportional to the body's displacement from its mean position, the motion is referred to as simple harmonic motion (SHM). This restoring force is always pointing in the direction of the mean position.

Oscillations become the most fundamental when the restoring force is inversely proportional to displacement. Remember the Hooke's law equation F = kx, which explains this situation. Therefore, Hooke's law describes and applies to the most fundamental kind of oscillation, known as simple harmonic motion.

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Answer:

[tex]K.E. =1/2mv^2\\6.8*10^4=1/2*175*v^2\\777.14=v^2\\v=27.87 m/s[/tex]

Kinetic energy is the energy possessed by a body due to its motion.

Assuming the water is at rest, then the magnitude of the force of the water on the left side of the volume is equal to the magnitude of the force of the water on right side of the volume. Pressure at point c will be greater than that of point b.

According to the pascal's law, the pressure applied on a confined fluid will be transmitted in all the direction, at every point, and on the wall of the container, without any change in the magnitude. Moreover, the pressure applied at a particular depth will be same in all direction. So if we assume that the water is at rest, and the area of left and right walls are equals, then the force will also be equal on both the walls.

If point c is deeper than the point b then the pressure on the point c will be greater than that of point b. As pressure = ρgh, where ρ is the density of  water, h is the depth of a particular point.

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The value of acceleration due to gravity on that planet is -2.2/t m/s.

The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose direction is determined by the strength of a plumb bob.

The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose direction is determined by the strength of a plumb bob.

using the equation of motion,

v - v0 = a. t

we know that the velocity at the height where it stops is zero, and time needed to get there is half the time of the whole movement, t' = t/2

⇒ - v0 = a. t/2

⇒ a = -v0.2/t

putting values in the above equation,

⇒ a = - 11 m/s . 2/t

⇒a =  -2.2/t m/s

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