What is the net work done on an object in free fall whose gravitational
potential energy decreases from 400J to 250J?
a. Wnet = 150J
b. Wnet = 250J
c. Wnet = -150J
d. Wnet = 400J

The distance d in front of the landing site should the supplies be dropped is v√(2h/g) meter. If the horizontal velocity of the airplane is v m/s and height of the plane from the ground is h.

Horizontal velocity of the airplane = v

height of the airplane = h

Initial velocity of the food, u = 0 m/s

From the second equation of motion,

S = ut +0.5gt²

h = 0.5gt²

t = √(2h/g)

It is time taken by the food to reach the ground. in this time the horizontal distance travelled by the food is, d = v × t

d = v × √(2h/g)

d = v√(2h/g)

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At 346306 km from the center of the earth would the net gravitational force of the earth and the moon on an object be zero.

Let the mass of the earth and the mass of the moon be m1 and m2 respectively. The distance between the earth and the moon be D.

The formula for the gravitational force between two objects having masses m1 and m2 saperated by a distance D is given by the formula:

F = Gm1m2/r^2

The distance between the earth and the moon is also known:

D=384400km

Let at distance x from the earth the gravitational force between the earth and the sun is zero.

∴ Gm1/x^2=Gm2/(D-x)^2

⇒ (D-x)^2 /x^2 = m2/m1

Substituting the values we get of m1,m2 and D we get:

x=346306 km

Therefore, at 346306 km from the center of the earth would the net gravitational force of the earth and the moon on an object be zero.

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As compared to Earth, humans have relatively low masses, which results in a very small and negligible gravitational force.

What does gravity mean?

The force of gravity, often known as gravitation, affects every material object in the universe. The force of gravity tends to draw any two objects or particles with nonzero mass toward one another. From subatomic particles to galaxy clusters, gravity affects things of all sizes.

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.

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Answer:

Answer is in attached photo.

Explanation:

Solution is in attached photo, do take note there are 2 separate formulas to be used in this questions:

1) Work Done = Force x Distance

2) Power = [tex]\frac{Work \ Done}{Time}[/tex]

In a closed system, two gases—neon and air—are compressed via a polytropic process with n = 1.5 from P1 to P2. Neon gas requires lesser work to be compressed.

In a polytropic process with n = 1.5, the equation that relates the initial pressure, P1, the final pressure, P2, and the specific heat ratio, n, is:

P1 x V1^n = P2 x V2^n

where V1 and V2 are the initial and final specific volumes of the gas, respectively.

Since the work done to compress a gas is given by the equation:

work = n x R x T x (V2^(1-n) - V1^(1-n))

We can find the work done to compress the two gases neon and air by substituting the values of the gas constant and the specific heat ratio into the equation:

Work to compress neon = 1.5 * 0.4119 kJ/kg·K * (V2^(1-1.5) - V1^(1-1.5))

Work to compress air = 1.5 * 0.287 kJ/kg·K * (V2^(1-1.5) - V1^(1-1.5))

Since the gas constant for neon is greater than the gas constant for air, it requires less work to compress neon than air. Therefore neon requires lesser work to be compressed.

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Recent significant breakthrough in the space exploration field is that webb telescope reveals the invisible universe.

With the help of various international space agencies, NASA notched steps forward in scientific endeavors. After decades of working, the James Webb Space Telescope finally began observing the universe in July. The world’s most powerful space telescope has turned its eyes on stars, planets, and galaxies by infrared light, which is invisible to the human eye.

The telescope has explored the unseen aspects of the universe and previously hidden figures, including the most distant galaxies ever observed. Webb has also shared new way of looking on some of astronomy’s favorite cosmic phenomenon and captured them in a new light, such as the Pillars of Creation.

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As n is not an integer, so there will be no constructive interference between the speakers, if speaker A is moved by minimum distance.

Interference is a phenomenon in which two waves combine by adding  displacement together at every single point in space and time and to form a resultant wave of greater, lower, or same amplitude.

Wavelength of a 500 Hz sound wave is the speed of sound (about 343 m/s) divided by the frequency of the sound, which is 343/500 m = 0.686 m. Therefore, minimum distance you can move speaker A to achieve constructive interference along x-axis is 0.686/2 m = 0.343 m.

Given, distance between the speakers is 6m. Constructive interference will occur when path difference between two waves is equal to integer multiple of the wavelength. To achieve constructive interference, distance between the speakers + the distance moved by speaker A should be equal to n*wavelength where n is integer.

So, 6 + 0.343 = n* 0.686

n = (6+0.343)/0.686 = 8.8

As n is not an integer, so there will be no constructive interference between the speakers, if speaker A is moved by minimum distance.

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approximately when does the full moon rise d. near midnight

At Full Moon, the Moon is 180 degrees distant from the Sun and 12 hours behind it. As a result, the Moon rises as the Sun sets; it is high in the south around midnight and sets in the morning, at daybreak.

As a result, the moon advances eastward by around 12 degrees every day with regard to the sun (13 minus 1). This implies that the moon rises later and later each day, occasionally in the morning, occasionally in the afternoon, and occasionally at night.

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The object was accelerating for 12 seconds and final velocity was 85m/s in south direction.

We can relate quantities like velocity, time, acceleration and displacement provided the acceleration remains constant. These relations are collectively known as the equation of motion. There are three equations of motion.

We know that from equations of motions : S = ut + 0.5 at^2

Where,

S = Distance or Displacement = 444 m (south)

u = initial speed = 11 m/s (north)

a = acceleration = 8 m/s^2 (south)

t =time

Now, Considering north to be positive direction, S = -444m and a = -8 m/s^2.

Putting these values in above equation we get:

8t^2 - 22t - 888 = 0

Solving this quadratic equation we get t = 12 seconds.

i.e. The object was accelerating for 12 seconds

Now, We also know that: v =u+ at

Where,

v = final velocity

u = initial velocity = 11m/s

a = acceleration = -8 m/s^2

t = time = 12 sec

Putting these values in above equation we get v = -85 m/s

Here, negative sign means that it is in s0uth direction.

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The parachute  would be made to be heavier and more efficient. Option A

We know that the way that the parachute functions would be related to the way that it is designed. We have to know that if the parachute is heavy, it is going to take a shorter time for the parachute to reach the ground because the air resistance would be overcome by the weight of the parachute.

For the redesign of the parachute. The best option is to ensure that the parachute us made in such a way that it is much heavy and able to travel through air easily.

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Answer: The company can design a parachute with more surface area.

Explanation: I just did the quick check and it was right!

a) [tex]x(t)=x_0\cos(\omega t)x(t)=x 0\ cos(\omega t),[/tex] for example

b) Simple harmonic oscillation occurs for objects which experience a position (xx) dependent force (FF) of the form F=-CxF=−Cx, where C is some positive constant.

Simple harmonic oscillation is a type of oscillatory motion in which an object oscillates back and forth around an equilibrium position. It is a special type of periodic motion in which the restoring force is always proportional to the displacement of the object from its equilibrium position, and acts in the direction opposite to that of the displacement. This type of motion is usually modeled by a mass-spring system.

a) Simple harmonic oscillation occurs for objects whose motion can be defined by a sine or cosine curve. x(t)=x_0\cos(\omega t)x(t)=x 0 ​ cos(ωt), for example

b) Simple harmonic oscillation occurs for objects which experience a position (xx) dependent force (FF) of the form F=-CxF=−Cx, where C is some positive constant.

c) Simple harmonic oscillation occurs when an object regularly returns to an equilibrium position.

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The velocity after 1.5seconds is 0.3 m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Initial upward velocity: u = 15 m/s.

Time interval: t = 1.5 second.

Acceleration due to gravity acting downward is = 9.78 m/s².

Let the final velocity is v.

Therefore,

v = u -gt

= (15 - 9.8 × 1.5) m/s

= 0.3 m/s.

So, the velocity after 1.5seconds is 0.3 m/s.

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The magnitude of the charge required if equal but opposite charges resided on both earth and moon is 1.037 × 10²⁰ Coulombs.

The magnitude of the charge required would be very large. Coulomb's law states that the force between two charges is given by

F = (k × q1 × q2) / r²

where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between the charges.

To balance the gravitational force between the Earth and the Moon, we would need to set the Coulomb force equal to the gravitational force:

F_gravity = (G × m1 × m2) / r²

where G is the gravitational constant, m1 is the mass of the first object, m2 is the mass of the second object, and r is the distance between the objects.

By equating the two forces and solving for q1 and q2, we can find the magnitude of the charges required:

q1 × q2 = (m1 × m2 * G) / (k × r²)

q1 = q2 = √( (m1 × m2 × G) / (k × r²))

where mass of earth is 5.98 × 10²⁴ kg, mass of moon is 7.35 × 10²² kg, distance between earth and moon = 3.84 × 10⁸ m, and the Coulombs constant is 8.9875517873681764 × 10⁹ N×m²/C²

q1 = q2 = √( (5.98 × 10²⁴ kg × 7.35 × 10²² kg × 6.67430 × 10⁻¹¹ m³ kg⁻¹ s⁻²) / (8.9875517873681764 × 10⁹ N×m²/C² × (3.84 × 10⁸ m)²)) = 1.037 × 10²⁰ Coulombs

Both the charges on Earth and Moon would be of 1.037 × 10²⁰ Coulombs

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Your question seems incomplete, but I assume the full question is:

"Suppose that the attraction between the moon and the earth was due to Coulomb forces rather than the gravitational force. What would be the magnitude of the charge required if equal but opposite charges resided on both earth and moon? Mass of earth = 5.98 × 10²⁴ kg; mass of moon = 7.35 × 10²² kg; earth-moon distance = 3.84 × 10⁸ m."

Answer:

When you pull with a force upward so that the box is just about to rise, the sum of the two tensions (one from the ceiling and one from your hands pulling) equal the weight of the box. Thus C + H = W; where C is the ceiling rope tension and H is the hand rope tension. W = mg, the weight of the box.

Because there is no mechanical advantage in the single pulley, C = H, the two tensions are equal. So, we can write 2H = W = mg; and thus, H = W/2 = mg/2 when the box is just about to rise. To raise the box, you must have 2H>W; so that H > W/2 which means you need to yank upward on the rope in your hand with a force H (your F) just a bit over half the weight of the box.

Now here’s the tricky part. Once you’ve gotten the box to accelerate (start moving), you can relax the force H a bit so that it exactly equals H = W/2. Why? Because by keeping the net force f = ma = W – 2H = 0, acceleration settles in at a = 0 and the box is neither speeding up nor slowing down. It is then at constant velocity, which is what you specified.

Lesson here is that it takes a bit more force to get something to start moving, but once it starts to move we need to slack off a bit to maintain a constant velocity (too much force and it continues to speed up, too little and it slows down).

PS: Your question starts off with “Energy” then you talk and ask about force. They are not the same thing. I recommend you read up on the differences between energy and force. That will avoid a lot of confusion in future physics studies.

Explanation:

.

Science reevaluates the validity of the theory when new evidence is found that contradicts part of a theory.

When new evidence is found that contradicts part of a theory, scientists reevaluate the theory to see if it needs to be modified or if a new theory should be proposed. Scientists will look at the new evidence and try to reconcile it with the existing theory by adjusting or refining their understanding of the theory. If the new evidence cannot be reconciled with the existing theory, scientists may propose a new theory or modify the existing theory to better explain the new evidence. This process is an essential part of the scientific method and allows for theories to be continually refined and improved over time.

when new evidence is found that contradicts part of a theory, scientists engage in a process of critical evaluation and testing of the theory. This process can involve a variety of different steps and can lead to different outcomes depending on the nature of the new evidence and the existing theory.

One outcome could be that the new evidence is found to be inaccurate or unreliable, in which case the theory remains unchanged. Another outcome could be that the new evidence is found to be credible and significant, and so the theory is modified to account for the new information. This process of modifying a theory in light of new evidence is known as "theory modification" or "theoretical revision" and it is an important aspect of scientific inquiry.

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The experiment’s design is not fair because the three objects do not have equal length to ensure they fall the same height.

A fair experiment or testis an investigation where one variable (the independent variable) is changed and all other conditions (controlled variables) are kept the same.

To fairly determine the time taken for different object to fall to the ground, the length of the objects should be the same, this ensures that the dependent variable is kept constant.

2-foot-long board is not the same length as a toy car, and a paper bag, so the experiment is not fair.

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Option -C : Pressure stays the same because  it is only a function of depth .

When the diver moves horizontally, the pressure is unaffected as pressure is function of depth only.

since,

p = denisty × gravity × depth

so only depends on depth.

The molecules and atoms that make up the many layers of the atmosphere are continually moving in arbitrary directions. Despite their small size, when they hit a surface, they apply pressure that humans perceive as a force. Since molecules can flow in any direction, they can even apply air pressure to an object as they collide from below. Air pressure can be applied in all directions in the atmosphere. An object or person suspended in a fluid and moving with it experiences static pressure. The pressure that develops when a flow is isentropically slowed to zero velocity is known as the stagnation pressure. The air pressure in various environments will vary, which will have an impact on how the vehicle operates. Air is thinner at higher altitudes,

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Question :

a diver moves horizontally from the underside of a bridge structure (position 1) to open water (position 2). ignoring effects like currents in the water, what pressure change will the diver sense between positions?

A . pressure increases from 1 to 2 because the bridge keeps the atmosphere from pushing down on the water at position 1.

B .  pressure decreases  from 1 to 2 because the weight of the bridge pushes down on the water at position 1.

C. Pressure stays the same because  it is only a function of depth .

D. pressure  may increase or decrease  depending upon water properties like density.

The amount of energy required to remove thermal energy is always greater or equal to the thermal energy removed, as per Second Law of Thermodynamics.

The Second Law of Thermodynamics is a fundamental principle of thermodynamics that states that the amount of energy required to remove a given amount of thermal energy from a system is greater than or equal to the amount of thermal energy removed.

This is also known as the Carnot's theorem and it is expressed mathematically as ΔQ < TΔS, where ΔQ is the heat absorbed or rejected, T is the temperature, and ΔS is the change in entropy. This means that it is impossible to completely convert heat into work, and some energy will always be lost as waste heat. This is why it is not possible to have a perpetual motion machine of the second kind.

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2.250656 feet which are around 68.6 cm is the depth of the ocean at the place where the diver measured an absolute pressure is 0.686 atm.

As we know the pressure on the depth is directly proportional to that of depth in the meter as 1 atm has a meter of the column of water below which results in 1 atm of pressure.

And as given the pressure was 0.686 atm which shows the column below is just 0.686 mt or 68.6 cm. And to convert cm to feet we need to divide it by 30.48. So in this case

68.6/ 30.48 => 2.250656

So length in feet will be 2.250656 feet. We can say 2.25 feet after the round-off.

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The acceleration of the car is 24.07 m/s², if the velocity of the car is 76 m/s on a curve section of radius 240 m.

The speed of the car, v = 76 m/s

The radius of the curve, R = 240 m

On a curve there is a chance of overturning of the vehicle due to the lateral sloping of the curve(called super-elevation). This overturning force is balanced by the centrifugal force. Which is equal to, F = Mv²/R.

Where M is the mass of the vehicle and v, and R velocity and radius of the curve respectively.

So the acceleration would be, a = v²/R

a = 76²/240

a = 24.07 m/s²

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The ball will take 5.2 seconds to return back to its original position on the ground, if its initial speed is 25.5 m/sec.

The initial sped of the ball, u = 25.5 m/sec

Acceleration due to gravity of the earth, g = 9.81 m/s²

Let the time taken by the ball to reach highest point, = t

We know the final velocity of the ball after reaching the highest point is zero(0).

By the first equation of motion,

v = u + at

0 = 25.5 + (-9.81) × t

t = 25.5/9.81

t = 2.6 seconds

So the total time taken would be 2t = 2 × 2.6 = 5.2 seconds.

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Answer:

A car moves 65 km due east and then 45 km due west. The car has traveled 65 km east and 45 km west, so it has covered a total distance of 65 + 45 = 110 km.

However, the displacement is the final point minus the initial point and not the total distance traveled. In this case, the car has traveled 65 km east and 45 km west, so it is back to its initial point. Therefore, its total displacement is 0 km.

Answer: The total displacement of the car is 20 km West.

Explanation:

This is because it moved 65 km East and then 45 km West, which effectively cancels out 65-45 = 20 km of the Eastward movement.

It does not matter how much distance the car covered in total, it only matters the net distance it moved in a certain direction.

When the object of mass m2 has descended a distance h, the potential energy of the system has decreased by mg x h

The potential energy of the system has decreased by m2 x g x h.

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.

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The student explains that conduction is the process of charging an object by touch. When two oppositely charged conductors make contact, this charge is divided between two conductors and is transferred to the uncharged conductor, which charges the conductor.

Conduction is one of the three main ways that heat energy is transferred.

Consequently, When two oppositely charged conductors make contact, this charge is divided between two conductors and is transferred to the uncharged conductor, which charges the conductor.

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The selection of the correct word is as follows:

The role of forensic technicians is to visit crime scenes and gather, identify, classify, and analyze physical evidence related to criminal investigations. As a Forensic Science Technician, you will have required to perform tests on weapons or substances in order to determine their significance to the investigation.

They generally analyze crime scenes to determine what evidence should be collected and how. Along with this, they also take photographs of the crime scene and evidence and make sketches of the crime scene.

While the role of the crime scene investigator is to gather forensic evidence from crime scenes that will ultimately lead to the detection and prosecution of criminals. You'll process crime scenes using specialist techniques to visualize, capture and recover evidence.

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No. of electrons  are delivered to the phone during 23 min of charging

6.46875  x 10^21

Charge is q = ne

                where , e = - 1.6 x 10^-19

                              n = no.of electrons

The rate of accumulation of the electrons is ,q/t = Q

   Q x t = -0.75 / 23 min = q

For time t = 23 min

1min = 60 sec

so time in sec, t = 23 x 60 = 1380 sec

           therefore , Q x t = -0.75 x 1380

                                      = -1035 c

No. of electrons = n = q/e

                                 =  -1035 / -1.6 x 10^-19

                                 = 6.46875  x 10^21 electrons

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The average force exerted by the bat on the ball is 3200N and the impulse delivered by the bat on the ball is 6.30kgm/s

(a) The impulse delivered by the bat to the ball can be calculated using the equation Impulse = Change in Momentum.

Therefore, the impulse is equal to the difference between the final momentum and the initial momentum of the ball.

mΔv=0.15×42=6.3kgm/s

(b) The average force exerted by the bat on the ball can be calculated using the equation Force = Impulse/Time. Therefore, the average force is equal to the impulse divided by the time that the two are in contact. The time is 2 × [tex]10^{-3}[/tex]s. Therefore, the average force is equal to 150 N.

6.30/2×[tex]10^{-3}[/tex]= 3200N

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The maximum efficiency attainable for a heat engine operating between two temperatures (QH > Qc) is determined by the Carnot efficiency.

The Carnot efficiency represents the maximum theoretical efficiency that can be achieved by any heat engine operating between two temperatures. The formula for the Carnot efficiency is:

Efficiency = (Qc / QH) / 1.

where Qc is the engine's heat absorbed from the cold reservoir and QH is the engine's heat rejected by the hot reservoir.

It is important to note that for a heat engine to reach Carnot efficiency, it must operate in a reversible manner; in other words, it must be able to run in a cycle that can be reversed without any loss of energy. In practice, it is difficult to achieve Carnot efficiency in real-world heat engines due to the presence of friction and other inefficiencies.

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Acceleration refers to an object's change in direction or speed or Velocity.

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If air resistance is negligible and our toy dart cannon generates a maximum initial velocity of 2.78 metres per second, we can shoot a dart up to a maximum distance of 0.74 metres from the ground.

Velocity is a time-dependent measure of how quickly an object's position changes in relation to a frame of reference. The velocity of an object indicates both its direction and speed of motion. Final velocity is a vector quantity that describes the speed and direction of a moving body after it has reached its maximum acceleration. The relationship between two points in physical space is given by the formula R = v2 sin2 theta/g.

R(max) equals v2/g if theta is 45 degrees.

R = 2.7^2 / 9.8 = .74 m

R = v^2 sin 2 theta / g

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