a softball of mass 0.220 kg that is moving with a speed of 4.0 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. afterward the incoming softball bounces backward with a speed of 2.0 m/s. calculate the velocity of the target ball after the collision.

If the intensity level by 10 identical engines in a garage is 100 dB,  the intensity level generated by each one of these engines is 90 dB. The correct answer is (b).

Here is a step-by-step explanation:
1. The intensity level (in decibels) of a combined sound is determined using the formula:Combined dB = 10 * log10(sum of the intensities of individual sounds).2. In this case, we have 10 identical engines producing the same intensity level, and their combined intensity level is 100 dB. Let x represent the intensity level of each engine. We can write the equation as:100 dB = 10 * log10(10 * intensity of one engine)

3. To find the intensity of one engine, we need to isolate x in the equation. First, divide both sides by 10:
10 = log10(10 * intensity of one engine)
4. Now, we can apply the inverse of the logarithm function, which is the power of 10 (10^x), to both sides:
10^10 = 10 * intensity of one engine
5. Divide both sides by 10:
10^9 = intensity of one engine

6. Finally, we need to convert this intensity back to decibels using the formula: x dB = 10 * log10(10^9)7. Apply the logarithm rule: x dB = 10 * 98. Calculate the value of x: x = 90 dB.So, the intensity level generated by each one of these engines is 90 dB.

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The work done by the spring as it is compressed from x = 0 to x = L is [tex]-1/2kL^2[/tex].

To find the work done by the spring as it is compressed, we need to integrate the force applied by the spring with respect to the displacement. The force applied by the spring is given by Hooke's law as F = -kx, where x is the displacement from the equilibrium position.

Integrating this expression with respect to x from x = 0 to x = L, we get:

W = ∫F dx from x = 0 to x = L

W = ∫-kx dx from x = 0 to x = L

W = [tex]-1/2kx^2[/tex] from x = 0 to x = L

W = [tex]-1/2kL^2[/tex] + [tex]1/2k(0)^2[/tex]

W = [tex]-1/2kL^2[/tex]

Therefore, the work done by the spring as it is compressed from x = 0 to x = L is [tex]-1/2kL^2[/tex].

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The magnetic field (B) and the area of the loop (A) are not provided in the student question, we cannot provide a specific value for the magnetic flux.

To find the magnetic flux through a loop when its plane is perpendicular to the magnetic field lines, we can use the following formula:
Magnetic Flux (Φ) = Magnetic Field (B) × Area of the loop (A) × cos(θ)
where θ is the angle between the magnetic field lines and the normal to the plane of the loop. In this case, since the plane of the loop is perpendicular to the field lines,

θ = 0 degrees.
Step 1: Calculate the cosine of the angle.
cos(0) = 1
Step 2: Find the area of the loop (A). This would depend on the shape and dimensions of the loop which are not provided in the student question.

Let's assume the area is already known.
Step 3: Determine the magnetic field (B). This value is also not provided in the student question but would be necessary to calculate the magnetic flux.
Step 4: Calculate the magnetic flux (Φ) using the formula:
Φ = B × A × cos(θ)
Step 5: Express the result to two significant figures and include the appropriate units (webers, Wb).

However, you can follow these steps to calculate the magnetic flux once you have the necessary information.

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According to time dilation, the elapsed time between two events is different for observers in relative motion to each other. The formula for time dilation is given by:

Δt' = Δt / sqrt(1 - v^2/c^2)

where Δt is the time interval measured by the observer in the rest frame, Δt' is the time interval measured by the observer in the moving frame, v is the relative velocity between the two frames, and c is the speed of light.

In this problem, the neutron is at rest relative to the first observer and its lifetime is measured to be 900 s. The neutron is moving relative to the second observer, and its lifetime is measured to be 2065 s. We want to find the velocity v of the neutron relative to the second observer.

We can use the time dilation formula twice, once for each observer:

Δt' = Δt / sqrt(1 - v^2/c^2)

For the first observer (rest frame of the neutron), Δt = 900 s and Δt' = 2065 s (measured by the second observer):

2065 = 900 / sqrt(1 - v^2/c^2)

Simplifying and rearranging:

(1 - v^2/c^2) = (900/2065)^2

1 - v^2/c^2 = 0.155

v^2/c^2 = 0.845

v/c = sqrt(0.845)

v = 0.919c

Therefore, the neutron is moving at a speed of 0.919 times the speed of light relative to the second observer.

Answer:

As newton's 1st Law states that " A body tends to be at rest or in motion until an external force is  applied "

Explanation:

so football will remains at rest until you kick it or stop it with your hands

Answer:

The proper answer is (Large water bodies change temperature more slowly than land masses. Land masses close to large bodies of water, particularly oceans, experience temperature changes that are slower and less pronounced than those experienced by land masses farther away. Furthermore, warm water accelerates evaporation, which leads to precipitation.)

Explanation:

Brainliest pls!

Explanation:

The reason behind using this mirror:

Concave mirrors reflect light falling on it to a single focal point. So the concave mirror used in solar cookers absorbs all the incident sunlight and reflects it to a single focal point.

Hopefully this helps! :)

The work done to slide the book across the table is 2.75 joules.

The work done is equal to the force applied multiplied by the distance moved in the direction of the force. In this case, the force applied to slide the book across the table is 5.5 N, and the distance moved is 0.50 meters.

Using the formula for work, we can calculate the work done as:

Work = Force x Distance

Work = 5.5 N x 0.50 m

Work = 2.75 J

Therefore, this means that the energy required to move the book across the table was 2.75 joules, and this energy was transferred from the person sliding the book to the book itself.

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The possible wavelengths of the second type of visible light are λ = 700/(2n + 1). We do not need to know the slit spacing to answer this question.

Given that red light with a wavelength of 700 nm is passed through a two-slit apparatus. At the same time, monochromatic visible light with another wavelength passes through the same apparatus. As a result, most of the pattern that appears on the screen is a mixture of two colors.

However, the center of the third bright fringe of the red light appears pure red, with none of the other colors. We need to find the possible wavelengths of the second type of visible light. Therefore, for the third bright fringe of the red light, we have the path difference of, Δ = d sin θ = λ

Here, λ is the wavelength of light, d is the separation between the two slits, and θ is the angle between the central maximum and the third bright fringe. For the center of the third bright fringe of the red light, sin θ = λ/d = 700/2dFor the second type of visible light, the path difference of the bright fringe is Δ = (2n + 1)λ/2d

We know that most of the pattern that appears on the screen is a mixture of two colors, then the path difference must be the same for both types of light to have an overlap of fringes. Therefore, for both types of visible light,

Δ = (2n + 1)λ/2d700/2d = (2n + 1)λ/2d.

Here, we can cancel the 2d from both the numerator and the denominator.700 = (2n + 1)λλ = 700/(2n + 1). So, the possible wavelengths of the second type of visible light are λ = 700/(2n + 1). Therefore, we do not need to know the slit spacing to answer this question.

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The Sun appears brighter than all the other stars because it is the closest star to Earth and also because of its relatively large size and brightness.

While the Sun is an average-sized star, it is much closer to Earth than any other star, with an average distance of 93 million miles. This proximity means that the Sun's light reaches Earth with much greater intensity than the light from more distant stars, making it appear much brighter. Additionally, the Sun's surface temperature of around 5,500 degrees Celsius makes it much brighter than most other stars, which have much cooler surface temperatures.

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The number of electoral votes a state gets is determined by the number of senators and representatives it has in Congress.

Each state has two senators in the United States Senate, regardless of its population size. The number of representatives a state has in the United States House of Representatives is determined by its population size, as reported in the census.

The total number of electors in the electoral college is equal to the number of senators (which is 100, since there are 2 senators per state) plus the number of representatives (which is based on each state's population size and can range from 1 to 53).

For example, California, which has 2 senators and 53 representatives, has a total of 55 electoral votes, while Wyoming, which has 2 senators and 1 representative, has a total of 3 electoral votes.

This system ensures that each state has a minimum of 3 electoral votes, while larger states have more proportional representation based on their population.

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The separation between the center and the maximum or trough is known as the amplitude. The formula is x = A sin (t + ) or x += A cos (t + ), and the result is 1.02 mm.

These are a few illustrations of amplitude: The distance between a wave's peak and the still water's surface is how large of a wave it is. The density of air molecules at the core of a contraction or pulse of sounds would determine the height of a sound wave.

A periodic variable's amplitude indicates its change over a particular quarter (such as time or spatial period An non-periodic signal's magnitude was determined by its amplitude.

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A setup of pith balls that have negative charges and are hanging from the same point would consist of two or more small lightweight balls made of a porous plant material.

A pith ball is a small, lightweight ball made of a porous plant material called pith, typically from a plant stem, that is used in electrostatics experiments to demonstrate the principles of electrostatic force and charge.

For the setup of pith balls that have negative charges and are hanging from the same point would consist of two or more small lightweight balls made of a porous plant material, each carrying a negative charge, suspended from a common point using thin strings or threads. The balls would repel each other due to their like charges and hang at an angle away from each other.

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When two equal forces act on an object in opposite directions, they are known as balanced forces.

The balanced force is a system of forces that acts on an object without causing any change in motion. Balanced forces are those that do not change an object's speed or direction. If the forces acting on an object are balanced, the net force will be zero. When the net force is zero, the object is stationary or moving with a constant velocity.

Unbalanced forces are those that produce a change in an object's motion. Unbalanced forces are those that cause an object to speed up, slow down, or change direction. An object will only move if the net force acting on it is non-zero.

Two or more forces that are equal in size but opposite in direction are known as equivalent forces. When two or more equivalent forces are acting on an object, they cancel each other out, and the net force is zero.

Parallel forces are forces acting on an object in the same direction. When two or more parallel forces are acting on an object, they combine to form a resultant force that is equal to the sum of the individual forces. The direction of the resultant force is the same as that of the individual forces.

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The power output of the marine during the vertical climb of 11.5 m at a constant speed in 7.50 s is 1024.4 W. 

Power is the rate of doing work or the rate of transfer of energy in a unit time. Power is given by the expression:

P = W/t

where, P is power measured in watts (W), W is work done measured in joules (J), t is time taken measured in seconds (s).

The formula for work done is given by the expression:

W = F × d

where, F is the force applied measured in newtons (N), d is the distance traveled measured in meters (m)

The power of the marine in basic training during the climb is given by the expression:

P = W/t

P = F × d/t

From the question, the force (F) acting on the marine is equal to his weight (W). The weight (W) of the marine is given by the expression:

W = mg

where, m is the mass of the marine measured in kilograms (kg), g is the acceleration due to gravity which is 9.8 m/s²

On substituting the values given:

W = mg

W = 675 N (given)g = 9.8 m/s²

Hence, W = 675 × 9.8 = 6615 J

The distance (d) traveled by the marine is given as 11.5 m. The time (t) taken to travel the distance is given as 7.50 s.

Substituting the values given:

P = F × d/t

P = W/t

P = (mg × d)/t

P = (6615 × 11.5)/7.50P = 1024.4 W

Therefore, the power output of the marine during the vertical climb of 11.5 m at a constant speed in 7.50 s is 1024.4 W.

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Answer: D.

Miami-Dade

or Monroe (<-- If you have this option)

Explanation: ed mentum or plato
basically the most reddest county

The second-order maximum for light of wavelength 650 nm will be located approximately 15.6 mm from the central bright spot on the same screen.

Wavelength of light for the third-order maximum = 500 nm

Distance of third-order maximum from the central bright spot = 12 mm

Distance of screen from the slits = 1.3 m

Wavelength of light for the second-order maximum = 650 nm

Using the equation d sin θ = mλ, where d is the distance between the slits, θ is the angle between the line connecting the slits and the screen and the line connecting the bright spot and the central bright spot, m is the order of the bright spot, and λ is the wavelength of the light.

For the third-order maximum with 500 nm light:

d sin θ = mλ

d sin θ = 3 * 500 nm

d sin θ = 1500 nm

sin θ = 1500 nm / d

Given, distance from the central bright spot to the third-order maximum = 12 mm

Given, distance of screen from the slits = 1.3 m

Thus, tan θ = (12 mm) / (1.3 m)

θ = 0.013 radians

sin θ = 0.013

sin θ = 1500 nm / d

d = 1500 nm / sin θ

d = 1500 nm / 0.013

d = 115,384.6 nm

d = 115.4 µm

For the second-order maximum with 650 nm light:

d sin θ = mλ

d sin θ = 2 * 650 nm

d sin θ = 1300 nm

sin θ = 1300 nm / d

Using the value of θ calculated for the third-order maximum:

sin θ = 0.013

sin θ = 1300 nm / d

d = 1300 nm / sin θ

d = 1300 nm / 0.013

d = 100,000 nm

d = 100 µm

Thus, the distance from the central bright spot to the second-order maximum for light with wavelength 650 nm is approximately 100 µm, or 15.6 mm from the central bright spot on the screen.

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It will take approximately 3.01 seconds for the pendulum bob to swing back to the person.

To answer this question, we need to find the period of the pendulum and then calculate the time it takes for the pendulum to swing back to the person.
Step 1: Calculate the period of the pendulum
The formula for the period of a simple pendulum is given by:
T = 2π√(L/g)
where T is the period.

L is the length of the cable (9.01 m), and g is the acceleration due to gravity (approximately 9.81 m/s²).
Step 2: Plug in the values and solve for T
T = 2π√(9.01 m/9.81 m/s²)
T ≈ 2π√(0.918 s²)
T ≈ 2π(0.958 s)
T ≈ 6.02 s
The period of the pendulum is approximately 6.02 seconds.
Step 3: Calculate the time it takes for the bob to swing back to the person
Since the period represents the time it takes for the pendulum to complete one full oscillation, and the person releases the bob at its highest point, the time it takes for the bob to swing back to the person is half of the period.

Therefore, we can calculate this time as follows:
Time to swing back = T/2
Time to swing back ≈ 6.02 s/2
Time to swing back ≈ 3.01 s.

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It is more difficult to stop a sled carrying 2 people on than to stop a sled carrying 1 person if both have the same velocity because the sled carrying 2 people has more mass.

The greater the mass of an object, the greater the force required to change its velocity or stop it entirely.

What is the difference between mass and velocity? The difference between mass and velocity is as follows:

Mass is the amount of matter that an object possesses, whereas velocity is the rate at which an object changes position over time. Mass is a scalar quantity that represents an object's resistance to changes in motion, whereas velocity is a vector quantity that represents the rate and direction of motion.

Difficulty in stopping a sled with two persons. The sled with two people has more mass than the sled with one person. It is therefore more difficult to stop. When a sled is sliding on the snow, the force of friction between the sled's runners and the snow is what keeps it from slipping uncontrollably.

As the force of friction opposes the sled's motion, it generates a force that opposes the sled's forward movement. When there are two people on the sled, there is more mass and therefore more resistance to the opposing force created by the friction. Therefore, it is more difficult to stop a sled carrying two people than to stop a sled carrying one person.

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When the charges are brought closer together until they are 2 cm apart, the force between them becomes approximately 2.5 ×  [tex]10^{-4}[/tex] N.

To determine the force between two charges when they are brought closer together from 10 cm to 2 cm apart, we can use the formula for Coulomb's Law:
F = k × |[tex]q_1 \times q_2[/tex]| / r²
where F is the force between the charges,

k is Coulomb's constant (8.99 × [tex]10^9[/tex] N·m²/C²),

[tex]q_1[/tex] and [tex]q_2[/tex] are the magnitudes of the charges, and r is the distance between the charges.
Since we know the initial force (F₁) and initial distance (r₁), we can find the product of the charges ([tex]q_1 \times q_2[/tex]) using the formula:
F₁ = k × |[tex]q_1 \times q_2[/tex]| / r₁²
Given F₁ = [tex]10^{-6}[/tex] N and r₁ = 0.1 m,

we can solve for |[tex]q_1 \times q_2[/tex]|:
[tex]10^{-6}[/tex] = 8.99 × [tex]10^9[/tex]  * |[tex]q_1 \times q_2[/tex]| / 0.1²
|[tex]q_1 \times q_2[/tex]| = ([tex]10^{-6}[/tex]  * 0.1²) / 8.99 ×[tex]10^9[/tex]
|[tex]q_1 \times q_2[/tex]| ≈ 1.11 × [tex]10^{-11}[/tex] C²
Now that we have the product of the charges, we can find the new force (F₂) when the charges are 2 cm (0.02 m) apart (r₂):
F₂ = k × |[tex]q_1 \times q_2[/tex]| / r₂²
F₂ = 8.99 × [tex]10^9[/tex] × 1.11 ×  [tex]10^{-11}[/tex]/ 0.02²
F₂ ≈ 2.5 × [tex]10^{-4}[/tex]  N
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The brightness of the three bulbs compared to each other is bulb A is brighter than B and C which have the same brightness.

According to Ohm's law, the current passing through a conductor is directly proportional to the potential difference applied across its ends and inversely proportional to the resistance of the conductor. So, the bulb with the least resistance will draw more current and shine brighter as compared to the other two bulbs. Thus, the bulb with the least resistance will be the brightest.

Besides, it is mentioned that the battery maintains a constant potential difference between its terminals. It means that the internal resistance of the battery is negligible. Therefore, the voltage across the three bulbs will be the same, and the current passing through each bulb will depend on the resistance of the individual bulbs.

In the given circuit, the brightness of the three bulbs will be different from one another. Bulb А is brighter thаn B аnd C which hаve the sаme brightness. This is because the correct thru А is lаrger becаuse its pаrаllel pаth hаs less resistаnce thаn the B аnd C pаth.

Your question is incomplete, but most probably your figure can be seen in the Attachment.

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This route would indeed be pointed toward straight west at such an angle of 25.92 degrees. It applies the Pythagorean theorem, which says that within a right triangle, the hypotenuse's square root, which is the largest of the three, equals the product of the squares of the other sides.

Given:

[tex]D1=32km[/tex]  for Displacement 1 South

[tex]D2=72km[/tex] West for displacement two.

Inferred from the distance formula seems to be the shortest length.

D=80.06 m

that would be in that direction This route would've been pointed toward straight west at a 25.92 degree angle.

The Following Formula, or a [tex]2 + b 2 = c 2,[/tex] is really the source of the Distance Equation, where c seems to be the hypotenuse, or longest side, of a triangular shape, and a and b represent its other shorter ends of the spectrum (known as the legs of a right triangle).

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When an object rolls without slipping down an inclined plane, the true statement(s) about static friction force are: It provides the torque to cause the angular acceleration and it goes against gravity to reduce the acceleration caused by gravity. The correct answer is B and E.

Friction is the force that opposes relative motion between surfaces in contact. It is also called a contact force because it operates between the surfaces in contact when they're in motion or when a force tries to move them relative to one another.

An inclined plane is a simple machine that consists of a sloping surface that connects a lower point to a higher point. It is one of the six classical simple machines that is used to reduce the effort needed to raise a weight to a certain height.

Rolling without slipping is a combination of translational motion (movement in a straight line) and rotational motion (movement around an axis) without any slipping occurring between the surfaces in contact. A wheel or any other circular object rolls without slipping when its forward motion is the same as its rotational motion.

Static friction is the force that keeps an object at rest or in a state of uniform motion on a surface when a force is applied on it. When two surfaces are in contact, static friction is the force required to overcome the sticking between them that resists motion.

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If the moment of interia is 6.0 kg-m2 . 1.50 N-m the torque applied for the first two seconds.

As per the question statement, the moment of inertia is 6.0 kg-m².

Hence, to determine the torque applied for the first two seconds, we must know the angular acceleration.

Therefore, the angular acceleration is given by:

α=τ/I

Where α is the angular acceleration, τ is the torque, and I is the moment of inertia.

Substituting the given values, we get:

α=τ/I

⇒αI=τ

⇒τ=αI

The moment of inertia I is given to be 6.0 kg-m².

Further, the torque can be determined by calculating the angular acceleration α.

However, the angular acceleration is not provided in the question statement. Hence, we need to make some assumptions to determine α.

Let us assume that the angular acceleration is uniform i.e., constant.

Also, we assume that the initial angular velocity is zero.

Using these assumptions, we can calculate the angular acceleration as:

α=2θ/[tex]t^2[/tex]

Where θ is the angular displacement and t is the time interval.

Since the question statement does not provide the value of θ,

let us assume that the object has rotated by 90 degrees in the first 2 seconds.

Therefore, θ = 90° = π/2 radian.

Substituting the given values, we get:

α=2θ/[tex]t^2[/tex]

α=2π/[tex]2^2[/tex] =π/4\,rad/[tex]s^2[/tex]

Therefore, the angular acceleration α is π/4 rad/s².

Substituting this value along with the given moment of inertia I, we get:

τ=αI

τ=(π/4) x 6.0

τ=1.50\,N-m

Therefore, the torque applied for the first two seconds is 1.50 N-m, rounded off to two decimal places.

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Answer:

It takes exactly the same time to rise as it does to fall,

This is proven by the equation of conservation of energy.

Kinetic Energy + Potential Energ = a constant

At the top the bullet has only potential energy (in the vertical direction)

At the bottom the bullet has only kinetic energy in the vertical direction.

If the given relationship did not hold, a perpetual motion machine could be constructed that extracted excess energy from the round trip.

To determine the sign of charges in a current, an experiment can be conducted using a known reference conductor and a voltmeter.

First, connect the reference conductor to a voltage source and measure the voltage with the voltmeter. Then, connect the conductor in question to the same voltage source and measure the voltage again. If the voltage reading is higher for the conductor in question, then the charges are of opposite signs, with the reference conductor being positively charged and the other conductor being negatively charged. Conversely, if the voltage reading is lower for the conductor in question, then the charges are of the same sign, with both conductors being either positively or negatively charged.

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The paradox is this: if a horse pulls on a cart, and the cart pulls back on the horse with an equal magnitude force,  either possibly begin to move because the force balance.

The paradox mentioned here is resolved through the consideration of motion's relation to the interaction between objects. In order to move an object, force is required. When a force is applied to an object, it may either accelerate or decelerate. When a horse pulls a cart, the horse pulls with a force that is greater than the force the cart pulls back with, allowing the cart to move forward. However, the cart also pulls back on the horse with the same magnitude force, this force does not cause the horse to accelerate in the opposite direction. Instead, it is simply used to oppose the motion of the horse.

Therefore, both the cart and the horse can begin to move despite the force balance. The force balance is considered to be resolved in this situation since the force that the horse applies to the cart and the force that the cart applies back to the horse are not equal in nature, even though they are equal in magnitude.

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The required capacitance of the adjustable capacitor so that we can cover the entire range of carrier frequencies on the AM dial to pick up radio signals between about 540 kHz and 1600 kHz is [tex]C=8.68\times 10^{-12} F[/tex]  and  [tex]C = 9.8 \times 10^{-13} F[/tex] respectively.

The resonance frequency of an LC circuit is given by the following equation;

[tex]1/(2\pi \sqrt{LC}) = f[/tex]

Where f is the frequency

L is the inductance of the circuit.

C is the capacitance of the circuit.

Now, we need to find out the capacitance range that can cover the entire range of AM frequencies between 540 kHz to 1600 kHz for a 10mH inductor.

By rearranging the above formula and putting the values, we get the following:

At 540 kHz;

[tex]C} = 1 / (4\pi^2 \times 0.01 H \times (540,000 Hz)^2)[/tex]

[tex]C=8.68\times 10^{-12} F[/tex]

At 1600 kHz;

[tex]C = 1 / (4\pi^2 \times 0.01 H \times (1,600,000 Hz)^2)[/tex]

[tex]C = 9.8 \times 10^{-13} F[/tex]

Therefore, the required capacitance of the adjustable capacitor so that we can cover the entire range of carrier frequencies on the AM dial when an AM radio uses an LC circuit as a resonator to pick up radio signals between about 540 kHz and 1600 kHz is [tex]C=8.68\times 10^{-12} F[/tex] and [tex]C = 9.8 \times 10^{-13} F[/tex] respectively.

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(a) The magnitude of force required to give a helicopter of mass 2M an acceleration of 0.10 g upward is 1.962M N.

(b) The work done by this force as the helicopter moves a distance h/2 upward is 0.981M h Joules.

(a) To find the force required to give the helicopter an upward acceleration of 0.10 g, we can use the following equation:
Force (F) = Mass (m) × Acceleration (a)

The acceleration due to gravity (g) is approximately 9.81 m/s². Therefore, 0.10 g is equal to 0.10 × 9.81 m/s², which is 0.981 m/s².

The helicopter's mass is given as 2M. So, we can plug the values into the equation:

F = 2M × 0.981 m/s²

F = 1.962M N (Newtons)

So, the magnitude of the force required is 1.962M N.

(b) To find the work done by this force as the helicopter moves a distance of h/2 upward, we use the equation:

Work (W) = Force (F) × Distance (d) × cos(θ)

Since the force is acting vertically upward and the helicopter is moving in the same direction, the angle (θ) between the force and the distance is 0°, and the cosine of 0° is 1.

The force (F) is 1.962M N and the distance (d) is h/2. Therefore:

W = 1.962M N × (h/2) × 1

W = 0.981Mh J (Joules)

The work done by this force as the helicopter moves a distance h/2 upward is 0.981Mh Joules.

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A

1. Megan's average speed is  (400/seconds) m/s

The unit for average speed is meters per second (m/s).

2.

When Megan is traveling at a constant speed, the forward force on the bike is equal in magnitude and opposite in direction to the backward force on the bike according to Newton's Third Law of Motion.

B)

1.When Megan crouches down over the bike while traveling at a constant speed, the forward force on the bike remains the same, but the backward force on the bike decreases.

2. The explanation can be seen as the  forward force on Megan and her bike remains the same, as Megan's pedaling action is the same as before.

The backward force on Megan and her bike decreases because of the reduction in surface area facing the direction of motion resulting  in a net forward force on Megan and her bike, which increases their acceleration and speed.

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.

In the  case of Megan, the forward force on the bike is generated by the pedaling action of Megan, while the backward force on the bike is due to air resistance and frictional forces acting against the motion of the bike.

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