A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 6000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0. 75|v| when the parachute is closed and is of magnitude 12|v| when the parachute is open, where the velocity v is measured in ft/s. (A computer algebra system is recommended. Use g = 32 ft/s^2 for the acceleration due to gravity. Round your answers to two decimal places. ) (a) Find the speed of the skydiver when the parachute opens. Ft/s (b) Find the distance fallen before the parachute opens. Ft (c) What is the limiting velocity v_L after the parachute opens? v_L = ft/s (d) Determine how long the sky diver is in the air after the parachute opens

In the particles of a substance when heat is released and the temperature becomes lower are the particles will move more slowly.

A particle can vibrate due to heating so that the particle can be said to have kinetic energy. Kinetic energy itself is affected by the mass and speed of objects. The smaller the mass of an object, the greater its kinetic energy. The faster the particles vibrate, the greater their kinetic energy.

When a particle is heated, its temperature will rise and the particle will move fast because it gains kinetic energy. Meanwhile, when a particle loses heat, the temperature of the particle will decrease, this causes a decrease in the kinetic energy of the particle due to heat loss so that the particle moves slower.

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When we do, we make sure to measure our mass in kilograms. We determine that F is equal to 124.26 newtons by entering these numbers into our calculator.

That is the average magnitude of the force applied to the tennis ball.

The equation that Newton was referring to is shown by a serve. You can calculate the total force that was applied by the tennis racket to the ball by multiplying the weight of the racket by the speed at which the player swings their racquet.

An average 120-mph serve slows to 82 mph before the bounce, 65 mph after the bounce, and 55 mph at the opponent's racket, according to tennis instructor and analyst John Yandell.

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As a result, the amount of force the truck exerts on the automobile is equal to the amount of force the truck exerts on the car.

As per Newton's third law of motion

If object A applies a force to object B, then object B must apply a force to object A in the opposite direction and of equal strength. This rule illustrates a symmetry in nature whereby forces always occur in pairs and that no body can exert a force without also being subjected to one.

Because the accident is a head-on collision, according to Newton's third law, both the automobile and the truck will exert equal force against one another.

As a result, it will be safe to ride in the truck since the automobile will accelerate more quickly under the same force due to its lighter weight. Bigger acceleration results in a greater change in velocity, which increases the driver's workload.

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Answer: D

Explanation:

The wind will begin to blow the sediments of the arch away, causing the arched structure to become thinner over time. Therefore, the best answer is option D.

A. The nature of the image of 5th Avenue in the mirror sculpture is that it is a virtual, upright, and smaller image. This is because the concave mirror is used to reflect light outwards, creating a virtual image that cannot be projected onto a screen.

B. The property of concave mirrors that is utilized for using them as shaving mirrors is their ability to form a smaller, magnified image. This is because concave mirrors have a negative focal length, which causes light rays to diverge and form a smaller image that is closer to the mirror.

C. To determine the focal length of the mirror, we can use the formula 1/f = 1/u + 1/v, where f is the focal length, u is the object distance (38 meters), and v is the image distance (unknown). We know that the image size is 1/5 the size of the object, so we can set v = -5u (since the image is virtual and inverted). Substituting these values into the formula and solving for f, we get f = -(5u^2)/4 = -(5(38^2))/4 = -4725/4 = -1181.25 meters.

D. To estimate the image size of the 270 meter tall Rockefeller Centre, we can use the formula: h' = -h * (u/f) where h' is the image height, h is the object height (270 meters), u is the object distance (100 meters) and f is the focal length (10 meters). Substituting these values in the formula, h' = -270 * (100/10) = -2700 meters. This means the image of the Rockefeller Centre would be 2700 meters tall, which is not possible because it's taller than the building itself. This is an indication that the image is not real and is a virtual image.

Unlike plane mirrors, spherical mirrors form images that are different in size from the size of the object. While the convex mirror forms images that are always smaller than the object, the concave mirror forms images of different sizes, depending on the position in which the object is placed on its axis.

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The static friction and the normal force are related to each other as ≤.

Static friction is a force that prevents an item from moving. The friction encountered when persons attempt to move a stationary object on a surface without actually causing any relative motion between the body and the surface on which it is located. Static friction occurs between two fixed things, whereas kinetic friction occurs when two items move. Static friction varies while kinetic friction remains constant.

The normal force is the force exerted by surfaces to prevent solid objects from passing through them. A contact force is normal force. According to Newton's third law, this force on the platform must be followed by an equal and opposite force delivered to the man by the platform. This force is identical to the normal force.

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Answer:

To derive the formula for the pressure at a distance r from the rotation axis, you can use the principle of hydrostatic equilibrium. This states that the pressure at a point in a fluid is equal in all directions and the net force on a fluid element is equal to zero.

Consider a small cylindrical element of fluid at a distance r from the rotation axis, as shown in the diagram below. The dimensions of the element are dr in the radial direction, 2πr in the circumferential direction, and h in the vertical direction. The weight of the element is equal to the product of its volume, density, and the acceleration due to gravity: W = (2πr)(dr)(h)(ρ)(g). The pressure at the top and bottom faces of the element is P + dP, where P is the pressure at the point and dP is a small change in pressure. The forces acting on the element are the weight of the element, the pressure force at the top face, and the pressure force at the bottom face.

[asy]

unitsize(2cm);

pair P1, P2, P3, P4;

P1 = (0,0);

P2 = (1,0);

P3 = (1,1);

P4 = (0,1);

draw((-0.5,0)--(1.5,0));

draw((0,-0.5)--(0,1.5));

draw(P1--P2--P3--P4--cycle);

draw((0.5,0)--(0.5,1));

draw((0.25,0)--(0.25,1));

draw((0.75,0)--(0.75,1));

label("$r$", (0.5,1.5), red);

label("$

The motion of the stars around Polaris (NCP) is due to rotation (daily motion) of Earth.

Polaris is a star in Ursa Minor's northern circumpolar constellation. It is known as Ursae Minoris and is also known as the North Star or Pole Star. With an apparent brightness of roughly 1.98, it is the brightest star in the constellation and may be seen with the bare eyes at night. The star's location is less than one degree from the north celestial pole, making it the current northern pole star. The star's constant location in the Northern Sky makes it ideal for navigation.

Its distance is considered as part of the cosmic distance ladder since it is the nearest Cepheid variable. The updated Hipparcos stellar parallax distance to Polaris is approximately 433 light-years (133 parsecs), whereas the successor mission Gaia distance is around 448 light-years  (137 parsecs). Other techniques of calculation produce significantly disparate results.

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Answer: The answer is Cu+ P4 = Cu3P2

Which after balancing would be, 6Cu + P4 = 2Cu3p2

Explanation: Copper (Cu) is a metal and Phosphorous (P) is a non-metal. Metals and Non-metals combine to form ionic compounds where there is a transfer of ions from metal to non-metal.

Phosphorous has 5 valence electrons in its outer shell and Copper has 2 valence electrons. Following the octet rule, which means that the outer shell should have 8 electrons to be complete we see that combining these two metals on combining have electrons insufficient so we combine till we reach the octet structure. In this case, it happens when there are three copper and two phosphorous. We see that there are no more valence electrons. So it forms Copper II Phosphide, where the two indicates the charge of Copper.

Then we move on to balance both the sides of the equation, upon placing one number after the other to make the numerical value of elements equivalent to the other. Which gives us the answer.

The total distance that the truck travels is 11.7 km

Part (a)

The algebraic sum of the various distances results in the total distance covered by the trucks.

DT = d1 + d2 + d3

So, total distance that the truck travels = 1.4 + 7.7 + 2.6 = 11.7 km

Part (b) Question is missing :

(b) What are the magnitude (in km) and direction of the truck's displacement? (Enter a number.)

magnitude   #?   km

direction? east, west or neither.

The quickest route taken by the object to get from one spot to another is called displacement.

As the truck travels in three directions, from east to west to east, it begins out from the east. Think of the east as being good and the west as being negative. As a result, the displacement can be calculated as shown below.

D =d1 - d2 + d3 = 1.4 - 7.7 + 2.6 = 1.4 - 5.1 = -3.7 km

Here, the negative sign shows that the truck has displaced in the west direction.

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The kinetic energy does the work that crushes the car’s crumple zones.

Conversion of collision energy Because the metal plastic deformation after the impact greatly increases the internal energy of the automobile, the majority of the kinetic energy in the collision process is turned into internal energy. Other types of kinetic energy are turned into heat energy, sound energy, and so on.

A serious vehicle accident can result in PTSD, acute anxiety, sadness, and crippling phobias. According to studies, crash-related mental traumas might have symptoms that continue up to a year following a car accident, especially in youngsters. Objects with potential energy, or stored energy, collide, and the energy transfers to kinetic energy, or the energy of an object in motion. This energy transfer from one to anotheanother


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Because of the Doppler effect, a light- or sound-emitting object moving toward you has a lower amplitude compared to a stationary object.

The Doppler effect is generally defined as the shift in wave frequency (whether it be sound or light) caused by relative motion between the wave source and the observer. Every time a source wave moves in reference to the observer, this effect can be seen.

The Doppler effect allows astronomers to determine the frequency of light waves as an object moves in relation to the observer. As it approaches you, the frequency decreases and the item exhibits a blueshift. A redshift indicates that an item is travelling away from us.

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A and B being Hermitian operators means that they are equal to their own conjugate transpose.

What is a Hermitian operator?

A Hermitian operator is an operator that is equal to its own complex conjugate. This means that if an operator A is Hermitian, then A=A*. This property is important in quantum mechanics, since it guarantees that the eigenvalues of the operator are real.

AB ≠ BA

(AB + BA) = (A + B)*(A + B) = A*A + A*B + B*A + B*B

(AB + BA) is Hermitian since the conjugate transpose of a sum is the sum of the conjugate transposes.

i(AB-BA) = i(A - B)*(A - B) = -iA*A + iA*B -iB*A + iB*B

i(AB-BA) is Hermitian since the conjugate transpose of a sum is the sum of the conjugate transposes.

The expectation value of A2 is always real and non-negative since A2 is Hermitian and thus equal to its own conjugate transpose, which implies its eigenvalues are real.

If A2 = 2, then A can have eigenvalues of ±√2.

Hence, eigenvalues of A is ±√2.

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Jupiter affect observations of the Sun, from the viewpoint of an alien astronomer, by causing the Sun to move in a small ellipse with an orbital period of about twelve years. The correct option is option a.

Being the fifth closer planet to our Sun, Jupiter is the biggest planet in our Solar System. Jupiter is one of the gas giants in the Solar System.

From the Sun, Jupiter's average distance is about 480 million miles, and it takes nearly twelve years for Jupiter to make one revolution. Jupiter has a ring, albeit flat and small, like the rest of the gas giants. Jupiter's rotation is the fastest of all planets in the Solar System, rotating once on its axis every ten hours.

From the viewpoint of an alien astronomer outside our Solar System, the Sun will look as if it orbits Jupiter and takes 12 years to complete a revolution. Planets in general have orbits that are elliptical.

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Answer:

Below

Explanation:

To fall 1.8 m the time will be found with :

 d = 1/2 a t^2

 1.5 = 1/2 ( 9.81) t^2      shows t = .55 s

in this .55 s it travels .8 m horizontally    

     Horizontal velocity = .8 m / .55 s = 1.45 m/s

When it hits the ground , horizontal velocity will still be 1.45 m/s

  vertical velocity will be    v = at = 9.81 m/s^2  * .55 = 5.42 m/s

The original speed of the bullet was 300.6 m/s.

A measure of the amount of matter contained in or constituting a physical body. In classical mechanics, the mass of an object is related to the force required to accelerate it and hence is related to its inertia, and is essential to Newton's laws of motion.

Given:

mV bi​ +MV wi​ =mV b​ +M Vwf​

where m= mass of bullet =10 g=10^−2 ∣kg

M= mass of wood block =5 kg

V bI​ = initial mass of bullet

Vwi​ = initial mass of wood block and V bf​ =V wf​  

=0.06 m/s 10 −2 Vbi+0(10 −2 +5)0.6 V

bi​ = 10 −2 5.01×0.6​ V

bi​ =300.6 m/s

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2.78 m/s to the west velocity must a 2. 25 kg croquet mallet have in order to have the same momentum as 1. 25 kg ball that has a momentum 6. 25 kg•m/s to the west.

Given,

Mass = 2.25kg

Momentum = 6.25 kg•m/s

To find,

Velocity

Formula used,

Momentum = Mass x velocity

Calculation,

6.25 kg•m/s = 2.25 kg x velocity

Velocity = 6.25/2.25

Velocity = 2.78 m/s

The conservation of momentum principle asserts that the quantity of momentum inside a problem domain remains constant; momentum is not generated nor destroyed, but only modified by the action of forces as defined by Newton's equations of motion.

Newton's third law says that for every force exerted by object A on object B, object B exerts an equal but opposite force in magnitude and direction. Newton utilised this concept to create the law of conservation of momentum.

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Answer:

Below

Explanation:

Diameter of straw = .5 cm      then the  radius = .25 cm

AREA of the straw = pi r^2 = pi ( .25 cm)^2 = .19635 cm^2

  Now we need to find the LENGTH necessary to have a volume of 1000 cm^3

      1000 cm^3  = L * . 19635 cm^2  

      L = 5.092.958 cm       <=== your blowing covers this distance in 1.3 s

   5092.958 cm / 1.3 s = 3917.7 cm / s = 39.2 m/s

The distance that separates the force's line of action from its rotational axis is known as the lever arm. and the torque's magnitude is = N m.

τ = F x r

Signs:-  Torque = τ

Force = F

Lever Arm Length = r

In many electromechanical driving systems, lever arms are used. Axles and spindles are nonrotating shafts, while transmission shafts are rotating components that move power and torque from one place to another. Shafts can be either hollow or solid. In gate drive applications, particularly for radial gates and vertical gates, hollow shafts are sometimes referred to as torque tubes.

This is so that they can transfer torque to a hoist winch, which is their main function in these gate drives. For gate drives, the shafting may be subjected to axial forces, torsion from transmitted torque, bending from transverse loads from gears, sprockets, and sheaves, and torsion owing to transmitted torque.

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The required longitude of the certain ship when the time of the day is 12 noon at the Prime Meridian is 5 p.m is 75° West.

The sun is highest in London, but will not pass the ship for another 5 hours.

Given that,

The time of day for a certain ship is 12 noon at the Prime Meridian is 5 p.m.

The ship must be five hours west of Greenwich since the sun goes from east to west.

Each hour of sun motion is 15° of longitude. The ship is located at (5 x 15°) = 75° West longitude.

Thus, the ship's longitude is 75° West.

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The new electrostatic force between the charges, given that q₁ is reduced to 1/2q₁ and q₂ is tripped is 3/2Fₑ (Option C)

First, we shall determine the initial electrostatic force between the charges. Details below:

F = Kq₁q₂ / r²

Fₑ = Kq₁q₂ / r²

Finall, we shall determine the new electrostatic force. The is illustrated below:

F = Kq₁q₂ / r²

F = (K × 1/2q₁ × 3q₂) / r²

F = 3/2Kq₁q₂ / r²

But,

Fₑ = Kq₁q₂ / r²

Thus

F = 3/2Fₑ

Thus, we can conclude that the new electrostatic force is 3/2Fₑ (Option C)

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A jets engine is a device that produces a strong pushing force known as thrust out of liquid fuel that is high in energy.

A rotary engine called a gas turbine converts the flow of combustion into energy.Axial or centrifugal compressors (or both) can be used to boost air pressure and temperature before it enters the combustion chamber. Ambient air is pulled into the engine intake.

By raising internal engine pressure, jet or rocket engines generate thrust.This higher pressure inside the jet and rocket engine causes the forward force to be greater than the backward force.

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The three key words that have been replaced in the cross - section of a solar panel are:

This means that Option A is correct.

A solar panel, also known as a photovoltaic (PV) panel, is a device that converts sunlight into electricity. It is made up of several different parts that work together to generate electricity. Solar cells are made of silicon and are responsible for converting sunlight into electricity. They are usually arranged in a grid pattern on the panel.

The backsheet is the layer of material that sits on the back of the solar cells. It is responsible for protecting the back of the solar cells from moisture and other environmental factors. It is an insulator and is shown as R.

There are also the copper wires which heat the water and they are painted black as black absorbs heat better. These are labeled S and T respectively.

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The object would have returned to its initial starting point if it had travelled round a circle.

The distance travelled by the object is determined from the product of speed of the object and the time of motion of the object.

D = vt

where;

The distance travelled by the object is calculated as follows;

D = ( 4 cm / s ) x ( 6.28 s )

D = 25.1 cm

Thus, at the given time and speed the object would have travelled round the circle. That is the object would have made one complete revolution.

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If the lever is frictionless, to raise the rock a distance of 0.13 m, then the boy has to move the lever to 0.72 m.

An external force that acts upon an object results in a motion of the object, then it is called a work done upon the object by that force.

Given that the external force on a lever is 225 N and on a rock is 1250 N. The distance of motion by the rock is 0.13 m.

Hence the work done by the lever will be equivalent to the work done by the rock to move a particular distance.

Work (Lever) = Work (Rock)

F(lever) x D (lever) = F (rock) x D (rock)

225x D(lever)= 1250 x0.13

D(lever) is 0.72 m

Hence we can conclude that the distance of the motion by the lever is 0.72 m.

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Approximately 5.878 x 1012 miles or 9.461 x 1015 meters, a light-year is the maximum distance light can travel in a single year..

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When temperature of water rises, it stats moving from higher to lower temperature area - this  evidence supports that water can be thought of as a mass of moving particles .

The volume retention and conformity to the shape of a liquid's container are two of its most noticeable physical characteristics. When a liquid substance is poured into a container, it conforms to the shape of the container and will stay inside the container so long as the liquid state persists.

Water is a liquid. Hence, water can be thought of as a mass of moving particles.

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The rotational Kinetic energy of the system about X axis is 24624 J.

Let the distance of the mass 4kg, from O is r1,

r = √(4² + 4²)

r = √32m

The distances of masses to the rotation axis is same -

say,

r1 = r2 = r3 =r4 = √32

Hence,

I = ∑ mi r1²

I = r² ∑(m1 + m + m3 + m4)

= 32(19)

I = 608 Kg m²

We know that rotational energy of system is given as,

K = 1/2 Iw²

Given,

W = 9 rad/sec

∴ K = 1/2 × 608 × 9²

  K = 24624 J

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According to the given information the velocity is .0148 m/s2 and the kinetic energy is 3.78 J.

The movement that an item or particle experiences with regard to time is expressed vectorially as velocity. One metre per second (m/s) is the accepted unit of flow speed (also known as speed).

The metric speed unit is the meter per minute (m/s). A different way to express velocity magnitude is in centimeters per second (cm/s).

vilocity = 5/(5.8×5.8)

            = 0.148

kinetic energy = 1/2mv^2

                        = 1/2 × (0343 × 0.148×0.148)

                        = 3.78 J

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90.23 % percentage of the total energy was used to melt the ice.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

Total energy used from -[tex]14^{o}[/tex]C  to [tex]11^{o}[/tex]C

= [tex]m_{i}c_{i} T_{i}[/tex] + [tex]m_{i} L_{f}[/tex] +[tex]m_{w} c_{w}[/tex]Δ[tex]T_{2}[/tex]

= (0.013×2200×8) + (0.031×334000) + (0.013×486×11)

= 400.4 + 4342 + 69.498

= 4811.898 J

% energy used to melt = 4342/4811.898 × 100

= 90.23 %

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