A car drives a total of 10 miles along Waukegan Road. Along the road the speed limit is 35 mph but there are many stop lights along the drive. The average speed of driving the 10 miles would be:

a: Lower than 35 mph
b: Exactly 35 mph
c: Some speed that cannot be calculated
d: Greater than 35 mph

There was no oxygen and layer of ozone in the atmosphere of earth billions of year ago.

The geologic time scale is a “calendar” that show events that occur in Earth history. It is used by geologists and other Earth scientists in order to describe the timing and relationships of events in geologic history.

Geologists commonly use radiometric dating methods, based on the natural radioactive decay of certain elements such as potassium and carbon as reliable clocks in order to date ancient events.

The early Earth had no ozone layer and no free oxygen. Without an oxygen atmosphere very few things could live on the early Earth which did not need oxygen for their survival.

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Answer:

A

Explanation:

Current effiency

= 75/147

= 0.5102

New Efficiency

= 120/100 × 0.5102

= 0.6122

Only option A satisfies this efficiency.

Answer:

it's C a pull friction

Explanation:

because it's all said in the explained

Answer:

When sunlight shines through an orange solution, the violet, blue and green wavelengths are absorbed. The other colors pass through.

The two breakers below contain pure water. Boiling point is the same for both of these samples.

Extrinsic and intrinsic characteristics are two divisions of matter or things in science and engineering. An extrinsic property is one that is not indigenous to the sample, whereas an intrinsic property is.

No matter the circumstances of measurement, an intrinsic property is constant. The structure and chemical makeup of it determine its value. Depending on the circumstances, an extrinsic property's value may fluctuate. It depends on how the sample is impacted by outside variables.

Boiling point is the same for both of these samples as it doesn't depends on mass of the water.

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The vertical and horizontal centers of mass of the disk with the hole are both located at a distance of zero from the center of the disk.

Part (a) The vertical center of mass of the disk with the hole will be located at the same height as the center of the original disk, which is the same as the height of the center of the hole.

Therefore, the vertical center of mass of the disk with the hole is located at a distance of zero from the center of the disk.

Part (b) The horizontal center of mass of the disk with the hole will be located at the same horizontal position as the center of the original disk, since the hole is symmetrically placed with respect to the center.

Therefore, the horizontal center of mass of the disk with the hole is located at a distance of zero from the center of the disk.

Part (c) The total mass of the disk with the hole can be calculated by subtracting the mass of the removed portion (the hole) from the mass of the original disk.

The mass of the original disk is equal to its area multiplied by the area density, σ. The area of a circle is given by πR^2, so the mass of the original disk is πR^2σ.

The mass of the removed portion is equal to the area of the hole (πr^2) multiplied by the area density, σ. Therefore, the total mass of the disk with the hole is:

M = πR²σ - πr²σ

 = σπ(R² - r²)

Part (d) The horizontal center of mass of the disk with the hole can be calculated using the concept of moments.

The moment of an infinitesimally small element of mass, dm, about a reference point is given by dm * r, where r is the perpendicular distance from the reference point to the element of mass.

To find the horizontal center of mass, we need to calculate the sum of these moments for all the infinitesimally small elements of mass in the disk and divide it by the total mass.

In this case, the reference point is the center of the disk. Since the hole is centered at the same point, the perpendicular distance, r, for all the elements of mass is zero.

Therefore, the moment for each element of mass is zero. As a result, the horizontal center of mass of the disk with the hole is also located at a distance of zero from the center of the disk.

Part (e) The center of mass of the disk with the hole coincides with the center of the disk in both the vertical and horizontal directions. Therefore, the position of the center of mass from the center of the disk is (0, 0) cm.

In conclusion, the vertical and horizontal centers of mass of the disk with the hole are both located at a distance of zero from the center of the disk.

The total mass of the disk with the hole can be expressed as M = σπ(R² - r²). The position of the center of mass from the center of the disk is (0, 0) cm.

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The new capacitance can be calculated by multiplying the original capacitance by the dielectric constant of the material.

The capacitance of a parallel plate capacitor is given by the formula C = ε₀A/d, where C is the capacitance, ε₀ is the permittivity of free space, A is the area of the plates, and d is the distance between the plates.

When a dielectric material is inserted between the plates, the capacitance increases due to the material's ability to store electric charge. The dielectric constant, also known as the relative permittivity, represents the ratio of the capacitance with the dielectric material to the capacitance without the dielectric material.

To find the new capacitance, we can multiply the original capacitance by the dielectric constant. So, the new capacitance (C') can be calculated as C' = ε₀εrA/d, where εr is the dielectric constant of the material.

In this case, since the dielectric constant is given as 5.6, we can simply multiply the original capacitance by 5.6 to obtain the new capacitance. The units for capacitance are typically measured in farads (F), but since the given options are in picofarads (pF), we need to convert the capacitance to picofarads.

Therefore, the new capacitance (in pF) is equal to the original capacitance multiplied by 5.6.

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A particle with constant speed be accelerating the factor by which g changes at the surface of the planet is 2/9.

A particle with constant speed can be accelerating if its velocity is changing in direction. Acceleration is defined as the rate of change of velocity, so even if the speed remains constant, if the direction of the velocity changes, the particle is considered to be accelerating. This is because acceleration is a vector quantity that takes into account both magnitude and direction.

If a particle has constant velocity, it means that both its speed and direction remain constant over time. In this case, the particle is not accelerating because there is no change in velocity. Acceleration is defined as a change in velocity, so if the velocity remains constant, there is no acceleration.

If you double the mass and triple the radius of a planet, the factor by which the acceleration due to gravity (g) changes at its surface can be determined using Newton's law of universal gravitation. The law states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Let's denote the initial mass and radius of the planet as M and R, respectively. After doubling the mass and tripling the radius, the new mass and radius are 2M and 3R, respectively.

The acceleration due to gravity at the surface of the planet can be calculated using the formula:

g = (G * M) / R^2

where G is the gravitational constant.

The new acceleration due to gravity, g', can be calculated using the new mass and radius:

g' = (G * 2M) / (3R)^2

To find the factor by which g changes, we can divide g' by g:

(g' / g) = [(G * 2M) / (3R)^2] / [(G * M) / R^2]

(g' / g) = [(2M) / (3R)^2] * [(R^2) / M]

(g' / g) = (2M / 9R^2) * R^2 / M

(g' / g) = 2 / 9

Therefore, the factor by which g changes at the surface of the planet is 2/9.

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The golf ball spends approximately 1.46 seconds in the air before hitting the water. Just before striking the water, its speed is approximately 18.84 m/s.

We can solve this problem by analyzing the motion of the golf ball in the vertical and horizontal directions separately. In the vertical direction, the ball falls a distance of 12.3 m due to gravity. We can use the equation of motion for vertical motion, which is given by:

\(h = (1/2)gt^2\)

where h is the vertical distance, g is the acceleration due to gravity (approximately 9.8 \(m/s^2\)), and t is the time. Rearranging the equation, we can solve for t:

\(t = \sqrt(2h / g) = \sqrt(2 * 12.3 / 9.8)\) ≈ 1.46 s

Therefore, the ball spends approximately 1.46 seconds in the air.

In the horizontal direction, the ball rolls off the cliff with an initial speed of 10.2 m/s. Since there are no horizontal forces acting on the ball, its horizontal speed remains constant throughout the motion. Therefore, the horizontal speed just before the ball strikes the water is also 10.2 m/s.

Combining the vertical and horizontal components of motion, we can find the resultant velocity just before the ball hits the water using the Pythagorean theorem:

\(v = \sqrt(v_{horizontal}^2 + v_{vertical}^2) = \sqrt(10.2^2 + 0)\) ≈ 10.2 m/s

Therefore, the speed of the ball just before it strikes the water is approximately 18.84 m/s.

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EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate. Option D

To calculate the Equivalent Annual Costs (EAC), we need to consider the initial cost, maintenance costs, and the present value of future costs, taking into account the discount rate.

The EAC (Equivalent Annual Cost) is calculated by summing up the annual costs of the lightbulb over its lifetime, discounted at the real discount rate of 4%.

For the low-energy lightbulb:

EAC = Cost of bulb + Present value of annual electricity cost

= $3.60 + ($2.00 / (1 + 0.04)^1) + ($2.00 / (1 + 0.04)^2) + ... + ($2.00 / (1 + 0.04)^9)

≈ $18.47

For the conventional lightbulb:

EAC = Cost of bulb + Present value of annual electricity cost

= $0.60 + ($7.00 / (1 + 0.04)^1) + ($7.00 / (1 + 0.04)^2) + ... + ($7.00 / (1 + 0.04)^1)

≈ $7.33

Since the EAC for the low-energy lightbulb is $18.47 per year and the EAC for the conventional lightbulb is $7.33 per year, the conventional lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb.

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When a gas is heated, its molecules start moving at a much faster speed and this consequently causes an increase in pressure within the container holding the gas. If the container is not strong enough, the activity of the gas molecules is likely to cause it to burst.

What is pressure of a gas?

The force which the substance exerts on another substance per unit area is known as pressure. The pressure of the gas is the force that the gas exerts on the container boundaries. The gas molecules move randomly along the given volume. During this movement, they collide with the surface and also with each other. The impact of every individual gas molecule is too small and difficult to visualize. But the impact of all the gas molecules considered together constitutes the gas pressure. Greater the number of collisions, greater would be the pressure.

The Gas pressure formula is given as,

Gas pressure formula = F/A

Where,

F = impact force due to gas collisions in Newtons (N),

A = area in meter square

When a gas is heated, its molecules start moving at a much faster speed and this consequently causes an increase in pressure within the container holding the gas. If the container is not strong enough, the activity of the gas molecules is likely to cause it to burst.

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The gravitational acceleration on the surface of the exoplanet is 0.188 m/s².

Gravitational acceleration has an important role in uniform motion. Uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration (gravitational acceleration), t is time and s is displacement.

From the question above, we know that

h = 18 m

vo = 2.6 m/s

In this case, the final velocity should be zero. Hence,

vt² = vo² + 2a . s

vt² = vo² - 2g . h

0² = 2.6² - 2.g . 18

36g = 6.76

g = 0.188 m/s²

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Answer:

200 μC

Explanation:

The charge collected by the sphere each second is equal to the current multiplied by the time. In this case, the current is 10 μA and the time is 20 s, so the charge collected by the sphere each second is 10 μA * 20 s = 200 μC.

I hope this helps! Let me know if you have any other questions or need further assistance.

The Supernova will be observed on Earth 60,000 years from now.

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Answer:

is the first one right

Explanation:

Answer:

yes

Explanation:

Answer:

1323

Explanation:

we know ,

weight = m*g

= 135 * 9.8 ( acceleration due to gravity in earth is 9.8 m/S2)

= 1323 N

2.18X103 N force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure.

diameter, d = 0.95 mm = 0.95x10-3m

P = 3.1X10^9 Pa

r = d/2 = 0.95/2 x 10^-3 m

= 0.475 x 10^-3 m

Area = \(\pi\) r2

= 3.14 x ( 0.475 x 10^-3 m)2

=  = 3.14 x 0.225 x 10^-6

= 0.706 × 10-6 m2

Force = PXA

= 3.1 x 10^9 x 0.70 6 × 10^-6

F = 2.18X103 N

Pressure , within the physical sciences, the perpendicular force in step with unit per area , or the stress at a factor inside a restricted fluid.

A easy instance of pressure can be seen by retaining a knife to a bit of fruit. In case you keep the flat part of the knife towards the fruit, it might not reduce the area. The force is spread out of a massive vicinity (low strain).

The SI unit of pressure is pascal (represented as Pa) which is identical to one newton in line with rectangular metre (N/m2 or kg m-1s-2).

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The frequency of the violet light is\(7.5 x 10^14 Hz (Hertz).\)

The frequency of the wave is determined by dividing the velocity of light by its wavelength.

\(v=f/λWhere:v = velocity of light f = frequency λ = wavelength of the light\)

The speed of light is\(3.00 x 10^8\) meters per second (m/s).

To convert 400 cm into meters, divide 400 by 100. 400 cm = 4 m

Therefore,λ = 4 meters

Plugging these values into the formula, \(v = (3.00 x 10^8 m/s) / (4 m) = 7.5 x 10^14 Hz\)

So, the frequency of the violet light with a wavelength of \(400 cm is 7.5 x 10^14 Hz.\)

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Answer:

The best-known power of the Supreme Court is judicial review, or the ability of the Court to declare a Legislative or Executive act in violation of the Constitution, is not found within the text of the Constitution itself. The Court established this doctrine in the case of Marbury v. Madison (1803).

Answer:

µ = \(\frac{1}{sinC}\)

Explanation:

µ = 1/ sinC

µ -----> refractive index of medium

C ----> critical angle

Hope this helps!

Answer: 5N

Explanation:

Horizontal component is the force that is applied as a result of the diagonal application of force.

here in this case,

given diagonal force =10N.

angle= 30°

horizontal component is found using trigonometry..

so,

A vector of magnitude 10 N is provided.

It is at an angle of 30° to the + x axis.

To find:

The components along the x and y axis.

Calculation:

Along x axis:

F(x) = F cos(θ)

=> F(x) = 10 × cos(30)

=> F(x) = 10 (√3/2) = 5√3N

Along y axis:

F(y) = F sin(θ)

=> F(y) = 10 sin(30°)

=> F(y) = 10 × ½

=> F(y) = 5 N.

Additional information:

1. A vector is a quantity that can be defined with both magnitude and direction.

2. Since force is a vector, we are able to break it down into components along chosen axis.

Answer:

distance is 5+2 = 7

displacement is 5-2 =  3

This question involves the concepts of centripetal force and angular velocity.

The angular velocity of the Ferris wheel is found to be "1.15 rad/s".

The centripetal force in terms of angular velocity is given by the following formula:

\(F=mr\omega^2\)

where,

F = centripetal force = 1500 N

m = mass of person = 75 kg

r = radius = 15 m

ω = angular velocity = ?

Therefore,

\(1500\ N=(75\ kg)(15\ m)\omega^2\\\\\omega=\sqrt{\frac{1500\ N}{(75\ kg)(15\ m)}}\)

ω = 1.15 rad/s

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The attached picture shows the centripetal force.

The Hamiltonian (H) and the z-component of angular momentum (Lz) commute, [H, Lz] = 0.

To show that the Hamiltonian (H) and the z-component of angular momentum (Lz) commute, we need to demonstrate that their commutator [H, Lz] is equal to zero.

First, let's write down the expressions for the Hamiltonian and the z-component of angular momentum:

Hamiltonian (H) = 2I₁L²₁ + 2I₂L²₂ + 2I₃L²₃

z-component of angular momentum (Lz) = I₁L₁z + I₂L₂z + I₃L₃z

Now, let's calculate the commutator [H, Lz]:

[H, Lz] = H * Lz - Lz * H

Substituting the expressions for H and Lz into the commutator, we get:

[H, Lz] = (2I₁L²₁ + 2I₂L²₂ + 2I₃L²₃) * (I₁L₁z + I₂L₂z + I₃L₃z) - (I₁L₁z + I₂L₂z + I₃L₃z) * (2I₁L²₁ + 2I₂L²₂ + 2I₃L²₃)

Expanding and rearranging the terms, we have:

[H, Lz] = 2(I₁L²₁ * I₁L₁z + I₂L²₂ * I₂L₂z + I₃L²₃ * I₃L₃z) + 2(I₁L²₁ * I₂L₂z + I₁L²₁ * I₃L₃z + I₂L²₂ * I₁L₁z + I₂L²₂ * I₃L₃z + I₃L²₃ * I₁L₁z + I₃L²₃ * I₂L₂z) - 2(I₁L₁z * I₁L²₁ + I₂L₂z * I₂L²₂ + I₃L₃z * I₃L²₃) - 2(I₂L₂z * I₁L²₁ + I₃L₃z * I₁L²₁ + I₁L₁z * I₂L²₂ + I₃L₃z * I₂L²₂ + I₁L₁z * I₃L²₃ + I₂L₂z * I₃L²₃)

Simplifying further, we can see that all terms cancel out:

[H, Lz] = 0

Thus, we have shown that the Hamiltonian (H) and the z-component of angular momentum (Lz) commute, as their commutator is zero.

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The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

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  D = 15 cm , b)  λ = 30.0 cm , c) 0.0850 cm, d) v = 400 cm / s , e)    v = 80.43 cm / s , v = -80.43 cm / s, f)   D₂= 7.5 cm

Standing waves form when two waves of the same frequency traveling in opposite directions,

A) in the waves the distance of the nodes and antinode is the same since the wavelength is constant

         D = 15 cm

B) the wavelength is the distance for which the wave repeats itself, in the case of a standing wave, the distance between two nodes is the lamina of the wavelength.

       D = λ / 2

        λ=  15 2

        λ = 30.0 cm

C) the amplitude of each wave is 0.0850 cm, and the amplitude of the standing wave is double A = 0.17 cm

D) Let's use the speed ratio

       v =  λ f

       f = 1 / T

       v =  λ / T

      v = 30.0 /0.0750

      v = 400 cm / s

E) the transverse speeds are the speed of the oscillatory movement

      y = A cos (wt)

     w = 2π f = 2π / T

     w = 2π / 0.0750

     w = 83.78 rad / s

     y = 0.850 cos (83.78 t)

Speed ​​is

     v = dy / dt

     v = -A w cost wt

     v = - 0.850 83.78 cos (83.78 t)

     v = -80.43 cos (83.78 t)

The maximum speed when the cosine values ±1

      v = 80.43 cm / s

      v = -80.43 cm / s

F) if we draw a drawing, the distance between two nodes is half the wavelength, at the distance between an antinode synod is half this, it occupies a quarter of the wavelength

     D₂ = ¼  λ

     D₂ = 30.0/4

     D₂= 7.5 cm

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Answer:

See below

Explanation:

At the rope end where Cliff is :

W = f x d  

    100 N * 18 = 1800 J   of work input

13.)    At the weight end

          work done = f x d

                             = 500 N * 3 m = 1500 J    of work output

Cliff  only got 1500 J of work OUTPUT with 1800 J of work INPUT

    1500 / 1800 = 83.33 efficiency

Answer:

The frequency, 'f', of a wave is given by the speed, 'v' of the wave and the wavelength, λ, of the wave

f = v/λ

The frequency, 'f', of a wave is also given by the inverse of the period, 'T', of the wave which is the time it takes the wave to complete an oscillation or a cycle

f 1/T

Therefore, the variables to be known to determine the frequency of a wave includes either, the velocity and the wavelength of the wave or the period of oscillation (the wave cycle) of the wave

Explanation: