65% Wed 11:13 PM MyMassasoit Login a In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This small hills.) To demonstrate this, find the final speed in m/s and the time taken in seconds for a skier who skies 67.0 m along a 25° slope neglecting friction for the following two cases. (En speeds to at least one decimal place Your s is because the initial kinetic energy is small compared with the gain in gravitational potential energy even on (a) starting from rest final speed the final m/s time takern (b) starting with an initial speed of 3,40 m/s final speed m/s time taken (c) Does the answer surprise you? Discuss why it is still advantageous to get a running start in very competitive events. Reading

Answer:

1250 J

Explanation:

W = Fs

W = 500 * 2.5 = 1250 J

All living organisms are mainly composed of the elements: Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus.

The correct answer choice is option c.

Living organisms are those things that has life. They include plants and animals. Living organisms be it plants or animals are composed of important elements such as carbon, oxygen and others.

However, there are certain characteristic features which living organisms possess. Some of these characteristics of living things are as follows:

Other characteristics of living organisms are:

In conclusion, we can now confirm from above the explanation given above that living things are made up of certain elements.

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The correct option is option E) three times slower than on Earth.

The acceleration due to gravity near the surface of Mars is about one-third of the value near the Earth's surface, which is approximately 3.71 m/s^2. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.

Gravity is a fundamental force of nature that acts between any two masses. It is what holds the planets in orbit around the Sun, and what keeps the Moon in orbit around the Earth.

The strength of the gravitational force between two objects depends on their masses and the distance between them.

The final velocity of an object falling under the influence of gravity can be calculated using the equation:

vf = vi + g * t

where:

vf = final velocity

vi = initial velocity (assumed to be zero for an object dropped from rest)

g = acceleration due to gravity

t = time of fall

If a rock fell for the same amount of time on Mars and Earth, the final velocity of the rock on Mars would be:

vf = vi + 3.71 m/s^2 * t

and the final velocity of the rock on Earth would be:

vf = vi + 9.8 m/s^2 * t

Since the time of fall is the same in both cases, we can see that the final velocity of the rock on Mars would be one-third of the final velocity of the rock on Earth. So, the speed with which the rock hit the ground on Mars would be lower than the speed with which it hit the ground on Earth.

Therefore, The correct option is option E) three times slower than on Earth.

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If one of the light bulbs and its attached wire segment were removed in the series circuit shown below, the remaining light bulbs in the circuit would go out and stop functioning.

In a series circuit, the components are connected in a single path, one after the other. The current flows through each component in the circuit sequentially. When one component is removed, the circuit becomes incomplete, and the flow of current is interrupted.

In the given circuit, the removal of a light bulb and its attached wire segment breaks the continuity of the circuit. Without a complete path for the current to flow, the remaining light bulbs in the circuit would not receive any current and, therefore, would not light up.

This is because the series circuit relies on the flow of current through each component to power them. Removing one component disrupts the flow of current throughout the entire circuit, resulting in the loss of functionality for all the remaining components.

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The highest kinetic energy occurs at the points A and G. The highest potential energy occurs at point D.

We know that kinetic energy has to do with energy that is in motion. On the other hand the potential energy is the energy that is at a point. Both the kinetic energy and the potential energy are all the kinds of mechanical energy.

We have to look at the points where the object would have the highest velocity and these are the points where the kinetic energy of the body is maximum and this would occur at the points A and G. The points where the body has a maximum potential energy is the highest point and this at point  D.

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Answer:

F = 32.2 m

Explanation:

F = ma

F = m * 32.2

We ignore the trivial case where the angle of projection equals zero degrees: θ

i=tan −1( 34)=53.1 0

As a result, the angle of projection at which the horizontal range and maximum height are identical is tan14.

Throughout the motion, the projectile's acceleration is constant and operates vertically downwards, equal to g. The projectile's angular momentum = mu cos h, where h specifies the height. In the case of angular projection, the angle between velocity and acceleration ranges from 0 to 180 degrees.

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To develop a rocket with a burnout velocity of 1000 m/s, the specific impulse (Isp) required needs to be calculated. The exit velocity (Ve or Vj) required for the rocket can be determined using the rocket motor equation. The burn time of the rocket can be found by considering the rocket's weight and acceleration over time.

Additionally, the speed of the rocket, assuming a flight path angle of 45 degrees and considering gravity, can be plotted.

1. Calculating Required Isp:

To calculate the required Isp, we use the rocket motor equation: Ve + (Pe - Pa)AC = (m0 / mf) * g0 * Isp, where Ve is the exit velocity, Pe is the pressure at the exit, Pa is the ambient pressure, AC is the throat cross-sectional area, m0 is the initial total mass (rocket weight + propellant weight), mf is the final total mass (rocket weight), g0 is the acceleration due to gravity, and Isp is the specific impulse.

Since the contribution of the pressure differential is ignored, the equation simplifies to Ve = (m0 / mf) * g0 * Isp.

Given the burnout velocity of 1000 m/s, we can substitute the values and solve for Isp.

2. Determining Exit Velocity:

Using the rocket motor equation and the burnout velocity, we can solve for the exit velocity (Ve). This value represents the speed at which exhaust gases leave the rocket nozzle.

3. Plotting Rocket Acceleration and Weight:

To plot the rocket acceleration as a function of time, we need to consider the mass of the rocket over time. Initially, the rocket weight is the sum of the rocket weight (300 kg) and propellant weight (800 kg). As the propellant burns, the rocket weight decreases, resulting in a changing acceleration.

4. Calculating Burn Time:

The burn time of the rocket can be determined by dividing the propellant weight (800 kg) by the propellant consumption rate, which is the mass flow rate of the propellant.

5. Plotting Rocket Speed:

Assuming a flight path angle of 45 degrees and neglecting gravity, the rocket's speed can be plotted over time. This plot represents the rocket's horizontal velocity.

6. Considering Gravity:

To plot the rocket's speed while considering gravity, we need to account for the vertical acceleration due to gravity. By considering the rocket's horizontal and vertical velocities, we can determine the overall speed of the rocket.

By following these steps, the required Isp, exit velocity, burn time, and velocity plots can be determined for the given rocket scenario.

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Explanation:

Answer:

Explanation:

When resistors are connected in parallel combination, then equivalent resistance is given by,

\( \to \quad \bf{ \dfrac{1}{R_1} + \dfrac{1}{R_2} =\dfrac{1}{R_p}}\)

Inserting values,

\( \to \quad \bf { \dfrac{1}{R_1} + \dfrac{1}{R_2} =\dfrac{1}{R_p} } \\ \\ \to \quad \bf { \dfrac{1}{35} + \dfrac{1}{R_2} =\dfrac{1}{14.5} } \\ \\ \to \quad \bf { \dfrac{R_2 + 35}{(R_2)(35)} =\dfrac{1}{14.5} } \\ \\ \to \quad \bf { \dfrac{R_2 + 35}{35R_2} =\dfrac{1}{14.5} } \\ \\ \to \quad \bf { 14.5(R_2+35) = 35R_2(1)} \\ \\ \to \quad \bf { 14.5 R_2+ 507.5= 35R_2} \\ \\ \to \quad \bf { 507.5= 35R_2 - 14.5R_2} \\ \\ \to \quad \bf { 507.5= 20.5 R_2} \\ \\ \to \quad \bf { \dfrac{507.5}{20.5} =R_2} \\ \\ \to \quad\underline{\boxed{ \bf { 24.75 \; \Omega= R_2}}} \\ \)

The bullet takes 0.0025 seconds to pass through the wooden plank of 5 cm thickness when it is traveling horizontally with an initial speed of 30 m/s and a final speed of 10 m/s.

The time taken by the bullet to pass through the wooden plank can be determined using the equation of motion for constant acceleration.

Given:
Initial speed (u) = 30 m/s

Final speed (v) = 10 m/s

Distance (s) = 5 cm = 0.05 m

To find the time taken (t), we need to calculate the acceleration (a) first. We can use the equation:

v² = u² + 2as

Rearranging the equation, we have:

a = (v² - u²) / (2s)

Substituting the given values:

a = (10² - 30²) / (2 * 0.05)

Simplifying the expression:

a = (-800) / (0.1)

a = -8000 m/s²

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Next, we can use the equation of motion:

v = u + at

Substituting the values:

10 = 30 + (-8000) * t

Simplifying the equation:

-8000t = -20

Dividing by -8000:

t = 20 / 8000
t = 0.0025 s

Therefore, the time taken by the bullet to pass through the wooden plank of 5 cm thickness is 0.0025 seconds.


To find the time taken by the bullet to pass through the wooden plank, we need to calculate the acceleration first using the equation of motion.

By rearranging the equation and substituting the given values, we can find the acceleration.

Then, using the equation of motion again, we can solve for time.

The negative sign in the acceleration indicates that it is in the opposite direction of the initial velocity.

The resulting time is 0.0025 seconds.

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The efficiency of the engine is 0.2 or 20%.

The efficiency of a heat engine is a measure of how much of the heat energy input is converted into useful work output. In this case, the heat engine produces 300 watts of mechanical power while discarding 1200 watts into the environment, which is the cold reservoir.

To calculate the efficiency of this engine, we need to use the formula: Efficiency = Useful work output / Total heat input.

In this scenario, the useful work output is 300 watts, which is the mechanical power produced by the engine. The total heat input is the sum of the useful work output and the heat discarded into the environment, which is 1200 watts. Therefore, the total heat input is 1500 watts.

Using the formula, we can calculate the efficiency of the engine as: Efficiency = 300 / 1500 = 0.2 or 20%.

This means that only 20% of the heat energy input is being converted into useful work output, while the remaining 80% is being lost as heat to the environment. The low efficiency is likely due to the inefficiency of the engine's internal processes and the loss of heat to the environment.

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Scientific experiments follow principles called the scientific method that ensure that accurate tests are performed, reliable results are collected, and reasonable conclusions are drawn. Scientific experiments must follow the basic principles of good research so that the final presented results can be believed to be reliable.

Observations of new physical processes or phenomena occur infrequently, but there are areas of science that are not fully understood. Scientists must verbalize their observations in order to formulate meaningful hypotheses.

It's not enough to just guess why something happens. Scientists must prove their theories to be correct. Predictions are made to test observations under different circumstances. The aim is to learn more about this phenomenon and prove its existence. One of his ways of improving the scientific method is by creating 'models'. Models can be used to infer difficult and unobservable concepts.

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The value of the point charge is 2 × 10 ⁻⁹ C.

Gauss's Law is one of the four equations of strength and magnetism. The 4 packages of Gauss's law are to discover the sector due to a uniformly charged instantly twine, a uniformly charged endless plate sheet, a uniformly charged thin round shell, and a low uniformly charged sphere.

Mathematically it's far defined as. ϕ=qε0.

The electric field is zero inside the conductor. Using the definition of electric flux and Gauss’s law to find the required point charge at the center of the cavity.

q' = -2C at surface cavity

A gaussian sphere, which encloses, q (at center) and q'

Now, since this surface lies within the conductor, E = 0 at each point on this surface.

So, flux Ф = ∫E.Ds =0

and from gauss's law

⇒ Ф = q enclosed/ε₀

⇒ 0 = q +q'/ε₀

⇒ q + q' = 0

⇒ q = -q' = - (-2C)

                = 2 NC

    or           2 × 10 ⁻⁹ C

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Answer:

Object stop moving when the force which is friction that acts to resist sliding between two touch-ing surfaces is not present

Answer:

See below ~

Explanation:

Newton's 1st Law of Motion : "An object in motion (or rest) will stay in motion (or rest) unless acted upon by an unbalanced force.

According to the claim made, the electron moved across a potential difference of 2.84 * 10⁻² V.

Each spot in space has an electric field associated with it when there is charge current in any form. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the direction and intensity of the electromagnetic field.

Given;

Velocity, v = 10 * 10⁴ m/s = 10⁵ m/s

Potential difference, V = ?

Mass of electron = 9.11 * 10⁻³¹ kg

Charge of electron, q = 1.60 * 10⁻¹⁹C

The KE of an electron is the amount of energy in an electric field.

Thus, qV = 1/2mv²

Therefore, V = mv²/2q

Putting Values,

V = 9.11 * 10⁻³¹ * 10⁵ * 10⁵/2 * 1.6 * 10⁻¹⁹

= 9.11 * 10⁻²¹/3.2 * 10⁻¹⁹

V = 2.84 * 10⁻²

Thus, Potential difference is 2.84 * 10⁻² V

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Answer:

DONORS: If the material for which it substitutes has more electrons than the original

ACCEPTORS: If the replacement material has fewer electrons than the original material

Fermi level: the point where the probability of finding the last electron is ½

Explanation:

When in a semiconductor material a small fraction of an element is replaced by another with different valences, an excess charge is created.

If the material for which it substitutes has more electrons than the original, there is an excess of electrons, these excess electrons are weakly bound in the material and their orbits are large, in an energy versus moment diagram their energy places them a little more below the conduction band, these materials are called DONORS.

If the replacement material has fewer electrons than the original material, one electron is missing to complete the bonds, so there is a movement of the other electrons, an easier way to analyze this movement of the (n-1) electrons is to suppose that The missing charge has a positive charge and to study its movement, this positive charge is called a hole, its binding energy is small so the orbit of the hole is large, in an energy diagram it is located a little above the band of valence, these are called ACCEPTORS

The Fermi level is defined as the point where the probability of finding the last electron is ½, when the temperature is changed the density of states of the bands changes, therefore the location point moves, but its [probability remains ½

Answer:

DO rinse your eye with saline solution or clean water. ...

DO blink. ...

DO pull your upper eyelid over your lower eyelid. ...

DO wear sunglasses. ...

DON'T rub your eye. ...

DON'T touch your eye with anything. ...

DON'T wear your contact lenses. ...

DON'T use redness-relieving eye drops.

Answer:

v_squid = - 2,286 m / s

Explanation:

This exercise can be solved using conservation of the moment, the system is made up of the squid plus the water inside, therefore the force to expel the water is an internal force and the moment is conserved.

Initial moment. Before expelling the water

          p₀ = 0

the squid is at rest

Final moment. After expelling the water

         \(p_{f}\) = M V_squid + m v_water

         p₀ = p_{f}

          0 = M V_squid + m v_water

           c_squid = -m v_water / M

The mass of the squid without water is

            M = 9 -2 = 7 kg

let's calculate

           v_squid = 2 8/7

           v_squid = - 2,286 m / s

The negative sign indicates that the squid is moving in the opposite direction of the water

Answer:

option f) all of the above

We will see that all of the given options would increase the momentum, so the correct option is f "all of the above"

Momentum is defined as the amount of motion, and it is given by:

P = m*v

Where m is the mass of the object and v is the velocity.

We can't change the mass of the golf ball, but we can change the velocity, and to do it, we need to increase the acceleration that we apply to the ball.

To increase the acceleration we can:

Then all the options are correct, which means that the correct option is f.

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Answer:

The amount of friction depends on the force pushing the surfaces together. If this force increases, the hills and valleys of the surfaces can come into closer contact. The close contact increases the friction between the surfaces. Objects that weigh less exert less downward force than objects that weigh more.

Explanation:

Friction depends partly on the smoothness of the contacting surfaces, a greater force being needed to move two surfaces past one another if they are rough than if they are smooth.

B 10,000 - 30,000 K Blue-white stars

A 7,500 - 10,000 K White stars

F 6,000 - 7,500 K Yellow-white stars

G 5,000 - 6,000 K Yellow stars (like the Sun)

The lowest temperature stars are red while the hottest stars are blue. Astronomers are able to measure the temperatures of the surfaces of stars by comparing their spectra to the spectrum of a black body.

Answer:

A is true ,b is true

Explanation:

The best analogy for the motion in a sound wave would be: C) A guitar string vibrating

Vibration refers to the rapid back-and-forth or up-and-down movement of an object or material in response to a disturbance. This disturbance can be caused by external factors such as an applied force.

Yes, vibration can cause electromagnetic waves. Electromagnetic waves are created by the vibration of electric and magnetic fields in unison. In certain circumstances, such as the oscillation of charged particles, the vibration of these fields can result in the creation of electromagnetic radiation, including radio waves, microwaves, etc.

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Answer:

60 - 45 = A. 15

Explanation:

Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.

A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.

The image that follows illustrates how an object appears when viewed via a plane mirror.

Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

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Answer:

The answer is 144kg to 3s.f

Explanation:

convert cm to m

48/100=0.48

V=L³

V=0.48³

V=0.110592m³

\(density = \frac{mass}{volume} \)

1300=m/0.110592

m=1300×0.110592

M=144Kg o 3s.f

When an object of mass M is raised to a height above its lowest point and released from rest, it undergoes simple harmonic motion. Three possible positions of the pendulum, X, Y, and Z, are shown in the figure.

What is simple harmonic motion?

Simple harmonic motion (SHM) is a form of periodic motion in which a body moves back and forth on a fixed path. It's the motion of an object in which its acceleration is proportional to its displacement from its equilibrium point and is directed opposite to it.

When the pendulum is released from point X, it gains kinetic energy, and its potential energy is transformed into kinetic energy. As it swings past its lowest point, the pendulum's potential energy is converted back into kinetic energy. As a result, the pendulum's total mechanical energy (potential energy + kinetic energy) is constant throughout its oscillation.

Therefore, the magnitude of the change in gravitational potential energy from point X to point Y is the same as from point Y to point Z. So, the correct claim regarding the mechanical energy of the pendulum is that "The magnitude of the change in gravitational potential energy from point X to point Y is the same as from point Y to point Z."

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A) The x and y components of the jogger's velocity are approximately 2.86 m/s and 1.65 m/s, respectively.

B) When the speed is halved, the new x and y components of the jogger's velocity are approximately 1.43 m/s and 0.825 m/s, respectively.

A) Finding the x and y components of the jogger's velocity:

Given:

Speed (v) = 3.30 m/s

Angle (θ) = 30.0 degrees

To find the x-component (Vx) and y-component (Vy) of the velocity, we can use the following formulas:

Vx = v * cos(θ)

Vy = v * sin(θ)

Plugging in the values:

Vx = 3.30 m/s * cos(30.0°)

Vx = 3.30 m/s * √(3)/2

Vx ≈ 3.30 m/s * 0.866

Vx ≈ 2.86 m/s (rounded to two decimal places)

Vy = 3.30 m/s * sin(30.0°)

Vy = 3.30 m/s * 1/2

Vy = 1.65 m/s

Therefore, the x-component of the jogger's velocity is approximately 2.86 m/s, and the y-component is 1.65 m/s.

If we halve the speed, the new speed (v') would be half of the original speed:

v' = 3.30 m/s / 2

v' = 1.65 m/s

To find the new x-component (Vx') and y-component (Vy') of the velocity, we can use the same formulas as before:

Vx' = v' * cos(θ)

Vy' = v' * sin(θ)

Plugging in the values:

Vx' = 1.65 m/s * cos(30.0°)

Vx' = 1.65 m/s * √(3)/2

Vx' ≈ 1.65 m/s * 0.866

Vx' ≈ 1.43 m/s (rounded to two decimal places)

Vy' = 1.65 m/s * sin(30.0°)

Vy' = 1.65 m/s * 1/2

Vy' = 0.825 m/s

Therefore, when the speed is halved, the new x-component of the jogger's velocity is approximately 1.43 m/s, and the new y-component is 0.825 m/s.

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