1200kg car speeds up from 2 m/s to 6 m/s. How many times greater is the car's kinetic
energy at the higher speed compared to the kinetic energy at the slower speed?

The velocity of the car is 5.5 m/s. Then the centripetal acceleration of the car will be 0.6 m/s².

Acceleration is a physical quantity measuring the rate of change in velocity. It has both magnitude and direction.

Centripetal acceleration is the acceleration of an  object moving through a circular path. Thus its measures the rate of change in velocity of the body moving in the curvature path.

The centripetal acceleration = V²/R.

Where R is the radius of the curvature path.

The car moves 50 m in 9 seconds. Its velocity is 50/9 = 5.5 m/s.

Thus, centripetal acceleration = (5.5 × 5.5) m/s/ 50 m = 0.6 m/s².

Therefore, the centripetal acceleration of the car moving at a speed of 9 m/s through curvature path is 0.6 m/s².

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When the segment is shrunk to one-third of its original length, the ratio of the final linear charge density (?f) to the initial linear charge density (?i) is f/?i = 3

This is because the charge is the same, but the length of the segment has decreased to one-third of its original length. Therefore, the charge density has increased by a factor of 3.

The ratio of the electric force on the proton after the segment is shrunk (Ff) to the force before the segment was shrunk (Fi) is also 3. This is because the electric force is directly proportional to the charge density, so if the charge density increases by a factor of 3, the electric force will also increase by a factor of 3.

If the original segment of wire is stretched to 15 times its original length, the charge density will decrease by a factor of 15. To keep the linear charge density unchanged, we need to add 14 times the original charge to the wire. This is because the original charge will be spread out over 15 times the original length, so we need to add 14 times the original charge to make up for the decrease in charge density.

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Answer:

 the motion of a spinning top, rotation of the earth and other planets, movement of hands of a clock, etc.

Answer:

the motion of a spinning top, rotation of the earth and other planets, movement of hand of a clock, etc.

The upward force exerted on the board by the support is 530.8 N.

The upward force exerted on the board by the support is calculated as follows;

F(up) = 52.8 N  +  206.0 N  +  272.0 N

F(up) = 530.8 N

Thus, the upward force exerted on the board by the support is 530.8 N.

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According to Newton's third law

Or

\(\\ \tt\longmapsto F_x=-F_x\)

Answer:

When an object exerts a force on another force, there will be a force in the opposite direction exerted by the second object. This force is called reaction force.

For example, when an object is sliding, the reaction force is the friction that acts against the movement.

Hope this Helps!

Have a wonderful day!

The sports fill-in-the-blanks activity requires participants to identify the sport associated with different objects and include the definite article while following the given model.

Objective of activity is to test participants' knowledge of sports and related equipment while improving their proficiency in Spanish language. The activity helps participants to practice their grammar, vocabulary, and sentence structure skills while also promoting memory and comprehension skills. Here are a few sample questions for  sports fill-in-the-blank activity:

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Answer:   Option C

Magnetic energy  |  Electromagnetic energy

The energy required to raise the temperature of the air in a room by 5.0°C is 428.4 kJ

U = \(c_{p}\) m ΔT

U = Energy

\(c_{p}\) = Specific heat

m = Mass

ΔT = Change in temperature

ρ = Density

V = Volume

ρ\(_{air}\) = 1275 g / m³ (Dry air )

\(c_{p}\) = 1 J / g K

ΔT = 5 °C

V = 4 * 4 * 3

V = 48 m³

m = ρ V

m = 1275 * 48

m = 61200 g

U = 1 * 61200 * 7

U = 428400 J

U = 428.4 kJ

Therefore, the energy required to raise the temperature of the air in a room by 5.0°C is 428.4 kJ

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The radius of curvature of the bowl is 42 cm. It should be noted that this is a negative value, indicating that the mirror is concave (curved inward) rather than convex (curved outward).

The situation described can be modeled using the thin lens equation, which relates the object distance, image distance, and focal length of a lens or curved mirror. In this case, we can assume that the bowl acts as a concave mirror, with its reflecting surface forming a portion of a sphere.

We can also assume that the mirror is thin, meaning that the distance between the reflecting surface and the center of curvature is much greater than the radius of curvature.

Let us denote the radius of curvature of the mirror as R. When the child looks into the bowl, an erect image of himself is formed at a distance of 21 cm from the bowl. Using the thin lens equation, we can write:

\(1/f = 1/d_o + 1/d_i\)

where f is the focal length of the mirror, \(d_o\) is the object distance (i.e., the distance between the child and the mirror), and \(d_i\)is the image distance (i.e., the distance between the mirror and the image).

In this case, the object distance is negative (since the child is looking into the bowl from the same side as the object), and the image distance is positive (since the image is erect). Substituting the given values, we obtain:

\(1/f = -1/21 + 1/d_i\)

Next, when the child turns the bowl over, another erect image of himself is formed at a distance of 7 cm from the bowl. Using the same equation, we can write:

\(1/f = -1/d_o + 1/d_i'\)

where d_i' is the image distance for this case. In this case, the object distance is positive (since the child is looking at the bowl from the opposite side of the object), and the image distance is also positive (since the image is erect). Substituting the given values, we obtain:

\(1/f = 1/7 + 1/d_i'\)

Now we have two equations for f in terms of \(d_i\) and \(d_i\)', respectively. We can solve for \(d_i\)and \(d_i\)' by setting these two equations equal to each other and simplifying:

\(-1/21 + 1/d_i = 1/7 + 1/d_i'\\d_i' = 1/(1/7 - 1/21 + 1/d_i) = 28 cm\)

Now that we know both image distances, we can solve for the radius of curvature R using the mirror formula, which relates the focal length to the radius of curvature:

1/f = 2/R

Substituting the values of f and \(d_i\), we obtain:

\(1/R = 2/f = -1/21 + 1/d_i\)

Solving for R, we obtain:

R = -42 cm

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Answer:

Velocity of the two balls after collision: \(60\; \rm m \cdot s^{-1}\).

\(100\; \rm J\) of kinetic energy would be lost.

Explanation:

Because the question asked about energy, convert all units to standard units to keep the calculation simple:

The two balls stick to each other after the collision. In other words, this collision is a perfectly inelastic collision. Kinetic energy will not be conserved. The velocity of the two balls after the collision can only be found using the conservation of momentum.

Assume that the system of the two balls is isolated. Thus, the sum of the momentum of the two balls will stay the same before and after the collision.

The momentum of an object of mass \(m\) and velocity \(v\) is: \(p = m \cdot v\).

Momentum of the two balls before collision:

Based on the assumptions, the sum of the momentum of the two balls after collision should also be \(30\; \rm kg \cdot m \cdot s^{-1}\). The mass of the two balls, combined, is \(0.1\; \rm kg + 0.4\; \rm kg = 0.5\; \rm kg\). Let the velocity of the two balls after the collision \(v\; \rm m \cdot s^{-1}\). (There's only one velocity because the collision had sticked the two balls to each other.)

These two values are supposed to describe the same quantity: the sum of the momentum of the two balls after the collision. They should be equal to each other. That gives the equation about \(v\):

\(0.5\, v = 30\).

\(v = 60\).

In other words, the velocity of the two balls right after the collision should be \(60\; \rm m \cdot s^{-1}\).

The kinetic energy of an object of mass \(m\) and velocity \(v\) is \(\displaystyle \frac{1}{2}\, m \cdot v^{2}\).

Kinetic energy before the collision:

The two balls stick to each other after the collision. Therefore, consider them as a single object when calculating the sum of their kinetic energies.

Sum of the kinetic energies of the two balls right after the collision:

\(\displaystyle \frac{1}{2} \, m \cdot v^{2} = \frac{1}{2}\times 0.5\; \rm kg \times \left(60\; \rm m \cdot s^{-1}\right)^2 = 900\; \rm J\).

Therefore, \(1000\; \rm J - 900\; \rm J = 100\; \rm J\) of kinetic energy would be lost during this collision.

The statement that says "Psychological disorders can be very difficult to diagnose" is true about diagnosing psychological disorders.

Psychological disorders are those mental, behavioral, emotional and thinking conditions that interfere with the normal performance of the individual in society.

Therefore, we can conclude that a psychological disorder is an alteration in the mental balance of a person that requires specialized attention adapted to the characteristics of the dysfunction.

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Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Answer:

The vertical component of the velocity can be found using the formula:

V₀y = V₀ * sin(θ)

where V₀ is the initial velocity, θ is the angle of projection, and V₀y is the vertical component of the velocity.

Substituting the given values, we have:

V₀y = 48 * sin(53°)

Using a calculator, we can evaluate sin(53°) to be approximately 0.799:

V₀y = 48 * 0.799

V₀y ≈ 38.352

Therefore, the vertical component of the velocity with which the ball was launched is approximately 38 meters/second, which corresponds to option B.

Answer:

B.) 38 meters/second

Explanation:

Answer:

276.12 pC

Explanation:

We are given that

Area,A=\(2.6 cm^2=2.6\times 10^{-4}m^2\)

Where \(1 cm^2=10^{-4} m^2\)

\(d=0.25 mm=0.25\times 10^{-3} m\)

\(1mm=10^{-3} m\)

Potential difference, V=30  V

We have to find the charge on the capacitor when the plates are pulled to a separation of 0.55 mm.

We know that

Charge ,\(Q=\frac{\epsilon_0 A V}{d}\)

Where \(\epsilon_0=8.85\times 10^{-12}\)

Using the formula

\(Q=\frac{8.85\times 10^{-12}\times 2.6\times 10^{-4}\times 30}{0.25\times 10^{-3}}\)

\(Q=2.7612\times 10^{-10} C\)

\(Q=276.12p C\)

\(1 pC=10^{-12} C\)

When the plates are now pulled to a separation of 0.55 mm.Then, the charge on the plates remain same because the  battery has been disconnected.

Therefore, charge on the capacitor=276.12 pC

Answer:

\(Power = 2.5kW\)

Explanation:

Given

\(Mass = 200kg\) -- mass of tub

\(Energy = 200,000J\)

\(Time = 80s\)

Required

Determine the amount of power needed

Power is calculated as thus:

\(Power = \frac{Energy}{Time}\)

Substitute values for Energy and Time

\(Power = \frac{200,000J}{80s}\)

\(Power = 2500W\)

Divide by 1000 to convert to kW (kilowatt)

\(Power = 2.5kW\)

Arranging the acceleration of Xander, Finley and Max from least to most, we have: Finley, Xander, Max

The correct answer to the question is the last option. Finley, Xander, Max

To know which option is correct, we shall determine the acceleration of each person. This can be obtained as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 4.5 m/s

Time (t) = 3.5 s

\(a = \frac{v - u}{t} \\\\a = \frac{4.5 - 0}{3.5} \\\\a = \frac{4.5}{3.5}\\\\\)

Initial velocity (u) = 0 m/s

Final velocity (v) = 3.6 m/s

Time (t) = 4.2 s

\(a = \frac{v - u}{t} \\\\a = \frac{3.6 - 0}{4.2} \\\\a = \frac{3.6}{4.2}\\\\\)

Initial velocity (u) = 0 m/s

Final velocity (v) = 7.3 m/s

Time (t) = 1.2 s

\(a = \frac{v - u}{t} \\\\a = \frac{7.3 - 0}{1.2} \\\\a = \frac{7.3}{1.2}\\\\\)

Xander's acceleration = 1.29 m/s²

Finley's acceleration = 0.86 m/s²

Max's acceleration = 6.08 m/s²

Arranging the acceleration of Xander, Finley and Max from least to most, we have: Finley, Xander, Max

The correct answer to the question is the last option. Finley, Xander, Max

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Answer:

\(F=2.84*10^{-26}N\)  & -y direction

\(F=2.84*10^{-26}N\) & +y direction

Explanation:

From the question we are told that:

Speed of electron \(V_e=3.83 * 10^5 m/s\) +x direction

Earths magnetic field \(B_e=3.04 * 10^-^8\) +z direction

a)

Generally the equation for magnetic force \(F_m\) is mathematically given by

\(F=q(V_e*B_e)\)

where

\(q=1.6*10^{-19}c\\\=i*\=z=-\=j\)

\(F=1.6*10^{-19}(3.83 * 10^5 m/s*3.04 * 10^-^8)\)

\(F=1.6*10^{-19}(3.83 * 10^5 m/s*3.04 * 10^-^8)\)

\(F=-2.84*10^{-26}N \=j\)

Magnitude & Direction

\(F=2.84*10^{-26}N\)  -y direction

b)

Generally the equation for magnitude and direction of the magnetic force on an electron. is mathematically given by

\(\=F'=-1.6*10^{-19}(3.83 * 10^5 m/s*3.04 * 10^-^8)\)

\(\=F'=-2.84*10^{-26}N \=j\)

Magnitude & Direction

\(F=2.84*10^{-26}N\) & +y direction

Answer: Peregrine falcons are famed for their high-speed, high-altitude stoops. Hunting prey at perhaps the highest speed of any animal places a stooping falcon under extraordinary physical, physiological, and cognitive demands, yet it remains unknown how this behavioural strategy promotes catch success. Because the behavioral aspects of stooping are intimately related to its biomechanical constraints, we address this question through an embodied cognition approach. We model the falcon’s cognition using guidance laws inspired by theory and experiment, and embody this in a physics-based simulation of predator and prey flight. Stooping maximizes catch success against agile prey by minimizing roll inertia and maximizing the aerodynamic forces available for maneuvering but requires a tightly tuned guidance law, and exquisitely precise vision and control.

Explanation:

The speed of sound depends on the density of the medium in which the sound travels. We know that solids are denser than liquids, liquids are denser than gases. This means that the speed of sound will be greater in solids than in liquids and similarly, the speed of sound is greater in liquids than in gases.

Now that we know this, we just need to remember that the speed of sound in a solid is given by:

where Y is Young's module and rho is the density. From this equation we notice that the velocity of sound in solids decreases as the density increase.

The density of steel is approximately 7.85 g/cm^3 and the density of lead is 11.35 g/cm^3; from this we conclude that the speed of sound is greater in steel than in lead.

Therefore, the answer is C

The energy is lost in friction between the box and the inclined plane while pushing the box up the plane and into her truck.

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The moment of a couple is significant in various applications, such as analyzing the equilibrium and rotational motion of objects, understanding the behavior of rotating systems, and studying the effects of torques in mechanics and engineering.

In physics, the moment of a couple, also known as torque, refers to the rotational effect produced by two equal and opposite forces acting on an object but not along the same line of action.

A couple consists of two forces that have the same magnitude, act in parallel lines, and are opposite in direction. These forces create a rotational moment or torque around a particular point, known as the pivot or axis of rotation. The moment of a couple is a measure of the tendency of the couple to rotate an object.

The magnitude of the moment of a couple is given by the product of one of the forces and the perpendicular distance between the lines of action of the two forces. Mathematically, it can be expressed as:

Moment of couple = Force × Perpendicular distance

The SI unit of moment of a couple is the newton-meter (Nm). It is also important to note that the moment of a couple is a vector quantity and follows the right-hand rule for determining its direction.

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Answer: 60 m

Explanation:

v = s/t

vt = s

20 x 3 = 60

The kinetic energy of particle B at the instant when the particles are 3.0 m apart is 4.32 J.

The total energy of the system is conserved. The initial energy of the system is the electrostatic potential energy, which is given by:

U = k × (Q₁ × Q₂) / r

where:

U = potential energy in joules

k = Coulomb's constant (8.988 x 10⁹ N m²/C²)

Q₁ and Q₂ = charges in coulombs

r = distance between the charges in meters

In this case:

U = 8.988 x 10⁹ N m²/C² × (12 C × 5 Q) / (1.0 m) = 5.375 x 10⁻⁷ J

The final energy of the system is the kinetic energy of particle B. The kinetic energy is given by:

KE = 1/2 × m × v²

where:

KE = kinetic energy in joules

m = mass in kilograms

v = velocity in meters per second

Solve for the velocity of particle B using the conservation of energy equation:

KE = U

Substituting the expressions for KE and U gives:

1/2 × m × v² = 5.375 x 10⁻⁷ J

Solving for v gives:

v = √(2 × 5.375 x 10⁻⁷ J / m)

= 1.53 m/s

The kinetic energy of particle B is then:

KE = 1/2 × m × v²

= 1/2 × m × (1.53 m/s)²

= 4.32 J

Therefore, the kinetic energy of particle B at the instant when the particles are 3.0 m apart is 4.32 J.

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Answer:

It's true I took the test on Edge.

Explanation:

Answer:

True

Explanation:

Got it right on edg

The wavelength of the electron is 1.724 × 10^-12 m.

The wavelength of the electron is found  using the de Broglie wavelength formula:

λ = h / p

where λ = wavelength,

h= Planck's constant, a

p =  momentum of the electron.

we find  the momentum of the electron,

p = m * v

p = (9.1 × 10^-31 kg) * (4.2 × 10^7 m/s)

p = 3.822 × 10^-22 kg m/s

Therefore, wavelength ;

λ = h / p

λ = (6.6 × 10^-34 J s) / (3.822 × 10^-22 kg m/s)

λ = 1.724 × 10^-12 m

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Answer:kinetic energy

Explanation:

The frictional force that is acting on the object is 91N

The normal force can be obtained from the equation mgcosθ. The magnitude of the normal force is;

F = 60 * 9.8 * cos 15

F = 568 N

To obtain the moving force, we must get the acceleration from;

v^2 = u^2 - 2as

Since v = 0

u^2 = 2as

a = u^2/as

a = (15)^2/2 * 75

a = 1.5 m/s^2

Then F = ma

F = 60 * 1.5 = 90 N

The coefficient of friction is 90 N/568N

= 0.16

Frictional force = μmgcosθ

Frictional force = 0.16 * 568

= 91 N

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Answer:

C. The poster provides an emotional picture of a young, innocent girl with a slightly worried expression to make protective feelings.

Explanation:

The girl looks quite worried in the poster. Attached is the image: