an athlete swims the length of a 52.0-m pool in 15.8 s and makes the return trip to the starting position in 21.0 s. determine her average velocity

The amount of heat energy the water absorbed, given that the water's temperature increases from 298 K to 355 K is 476976 J

We know from calorimetry, that heat energy is given by:

Q = MCΔT

Where

With the above formula, we can determine the heat energy absorbed as follow:

Q = MCΔT

Q = 2 × 4184 × 57

Q = 476976 J

Thus, from the above calculation, we can conclude that the heat absorbed is 476976 J

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Answer:

6 MPH

Explanation:

If they ride 18 miles in 3 hours, and their speed is constant, you'd divide 18 by 3.

(18 miles) / (3 hours) = 6 miles per hour

The cyclist can ride 6 miles in 1 hour.

Hydrogen gas emerges when sodium metal is placed into water. The reaction is therefore 2Na+2H2OH2+2NaOH. Sodium hydroxide is created during the process, and hydrogen gas is also released.

As soon as sodium metal combines with water, sodium hydroxide (NaOH) and hydrogen gas are produced, creating an odorless basic solution (H2). Even after the solution has become fundamental, the reaction still occurs. Because there contains hydroxide in the dissolved state, the final solution is basic. Exothermic is the response. Reversible hydrogen storage could be achieved by using sodium oxide, Na2O, which reversibly absorbs hydrogen, H2, to create sodium hydride, NaH, and sodium hydroxide, NaOH. In the presence of water, sodium metal interacts to form sodium hydroxide and hydrogen gas. when 100.00 g of water and 0.575 g of sodium are combined.

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Answer:

Explanation:

Comment

The question really means, what kind of energy? It immediately takes on the energy associated with the height.  

Potential Energy = mgh

Now if you are the one holding the stone, and you let go then immediately the stone takes on both Potential Energy (which is going down in value because the height is going down) and Kinetic Energy (because the stone is moving faster as it falls).

Kinetic Energy = 1/2 mv^2

So there cannot be Kinetic energy until the stone is released from a certain height. Until it is released, the stone has energy because when released, it will pick up energy because of increasing velocity.

The molecular geometry of a molecule is the three-dimensional shape that it takes. The shape of a molecule is determined by the number and location of the electron pairs around the central atom. The electron pairs exert a force on each other called electron pair repulsion. This force determines the shape of the molecule.

The electron pairs around the central atom can be arranged in two ways: linear or angular. In a linear molecule, the electron pairs are arranged in a straight line. In an angular molecule, the electron pairs are arranged in a bent or angular shape.

The molecular geometry of a molecule is determined by the number of electron pairs around the central atom. The more electron pairs there are, the more the electron pairs will repel each other, and the more the molecule will bend or angle.

The molecular geometry of a molecule can be described using the terms linear, trigonal, tetrahedral, and so on. These terms describe the number of electron pairs around the central atom. For example, a linear molecule has two electron pairs around the central atom, and a trigonal molecule has three electron pairs around the central atom.

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A box is pulled with a force of 27N to produce a displacement of 17m. If the angle between the force and displacement is 30 degrees, the work done by the force is 397.50Joules.

To find the work done, the given data are,

Force =27 N

Displacement = 30 degrees.

Work done can be defined as the body that moves with some acceleration and did some work with  a force.

The product of the displacement and the applied force can be also defined as the Work done.

The formula for work done with the angle of the distance or displacement is written as,

W = F × d × cosθ

Substituting all the given data,

W= 27 × 17× cos(30)

= 397.50 joules.

The work done by the force can be calculated as 397.50 joules.

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Answer:

below

Explanation:

300 000 km = 300 000 000 m

c = wl * f

3 x 10^8   =  300 000 000 m    *  f

1 hz = f

If we wanted to search for faint rings around a giant planet by sending a spacecraft on a flyby, it would be best to make our observations after the spacecraft passed the planet.

The primary demanding situations involved in sending probes to the giant planets are distance, environment, and low energy levels. All gasoline large planets namely Jupiter, Saturn, Uranus, and Neptune inside the sun gadget have jewelry, at the same time as the terrestrial planets.

Mercury, Venus, Earth, and Mars are no longer.in observations of other planets, Mercury is hard to explore. the rate required to attain it is pretty excessive, and its proximity to the sun makes it difficult to maneuver a spacecraft into a solid orbit around it.

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The speed is v = 0.281 m/s speed does the 60-kg skater acquire.

From law of conservation of momentum.

[tex]p_{i}[/tex] = [tex]p_{f}[/tex]

([tex]m_{1}[/tex]+[tex]m_{2}[/tex])v = [tex]m_{1}v_{1}[/tex] + [tex]m_{2}v_{2}[/tex]

(45+60)kg × 0m/s = 45×0.375 +60[tex]v_{2}[/tex]

0=45×0.375 +60[tex]v_{2}[/tex]

60[tex]v_{2}[/tex] = -45×0.375

[tex]v_{2}[/tex] = -0.28125 m/s

∴ v= 0.281m/s

In Newtonian mechanics, an object's mass and velocity are combined to form momentum, more precisely linear momentum or translational momentum. It has both a magnitude and a direction, making it a vector quantity. If an object has mass (m) and velocity (v), both of which are vector quantities, then its momentum (p) is: p= mv.

The kilogram meter per second (kg m/s), or newton-second in the International System of Units (SI), is the unit used to measure momentum.

The rate of change of a body's momentum is equal to the net force acting on it, according to Newton's second law of motion.

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Mechanical efficiency considers the ratio between the energy expenditure of exercise and option B. Energy output.

Mechanical efficiency is an exercising term that describes the ratio of labor output to work input for the duration of the bodily hobby. The more efficaciously you pass with the least quantity of attempt expended, the greater your mechanical efficiency.

Mechanical gain is the ratio of load to attempt, i.e., Output force to enter force. efficiency is the ratio of labor completed by way of a machine to the work completed on the system, i.e., Output paintings to enter work. The extra efficiently you pass with the least amount of effort expended, the extra your mechanical efficiency. A degree of mechanical performance is specifically important to athletes whose purpose is to improve sports overall performance.

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In physics and engineering, a free frame diagram (FBD; also referred to as a force diagram) is a graphical instance used to visualize the applied forces, moments, and ensuing reactions on a frame in a given situation.

A free-body diagram is a sketch of an item of interest with all the surrounding items stripped away and all of the forces acting on the frame shown. The drawing of an unfastened-body diagram is a critical step in the solving of mechanics issues because it helps to visualize all the forces appearing on an unmarried object.

A free-body diagram is a graphic, dematerialized, symbolic representation of the body (structure, element, or segment of an element) wherein all connecting "pieces" have been removed. An FBD is a convenient method to model the structure, structural detail, or phase that is under scrutiny.

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When a force of 10 newtons pushes a box, then the work done is 18.6 joules.

Work done :

Work done is defined as the amount of energy used by a force to move an object.

Force :

A force pushes a box = 10 Newtons

Distance covered = 1.86m

work done is calculated as :

W = F x d

where

W = work done

F = force applied

d = distance covered by a box

W = 10 x 1.86

W = 18.6 joule.

so, the work done is 18.6 j.

When a force of 10 newtons pushes a box, then the work done is 18.6 joules.

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The definition of moment of interia allows to find the results for the moment of inertia with respect to each axis are:

1-Iₓ = m r²

2-Iy=9m r²

3-Iz=10m r².

What is moment interia?

The moment of interia is a scalar quantity is obtained by the expression.

Sol-

I =∫ r² dm

Where I is the moment of inertia, m the mass of the body and r the distance from the axis of rotation.

In the case of point particles, the expression reduces to

    I = m r²

In this case we calculate with respect to each coordinate axis.

a) With respect to the x axis the distance is x = r, the moment of inertia is

      Iₓ = m r²

with respect to the y-axis, indicate that the distance is y = 3 r.

We calculate

        I_y = m (3r) ²

        I_y = 9 m r²

c) Regarding the z-axis.

We look for the distance.

         z =√x^2+y^2

         z = √ 1^2+3^2

We calculate the moment of interia  Iz = m (10r²)

        Iz = 10 m r²

In conclusion using the definition of moment of inertia we can look for the results of the moment of interia for each axis are:

  a) Iₓ = m r²

  b) I_y = 9 m r²

  c) I_z = 10 m r²

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Using the concepts of work, power and energy, we got that 90hp is  the average power delivered by the engine for a 1500-kg car accelerates from 0 to 25 m/s in 7.0 s with negligible friction and the air resistance.

we know that,

Work = force x distance

= (ma)x(d)

Similarly, power = energy/time

Initial velocity(V[tex]_i[/tex])=0m/sec

and Final velocity(V[tex]_f[/tex]) = 25 m/s

and t = 7 sec.

We know that acceleration is defined change of velocity in per unit time

Therefore, acceleration =(25-0)/7=3.6m/sec²

and distance(d) = 87.5 meters

Now, we have mass and acceleration, so on putting the values we get

=>F = ma

=>F=1500×3.6

=>F=5400Newton,

Therefore, energy will be equal to=Force × distance

=>Energy=5400×87.5

Energy = 5400×87.5 = 4.7×[tex]10^{5}[/tex] Joules

Therefore, power will be equal to Energy/Time

=>Power= 4.7×[tex]10^{5}[/tex]/7sec

=>Power= 67,500 Watts or 90 hp.

Hence, if a 1500-kg car accelerates from 0 to 25 m/s in 7.0 s with negligible friction and air resistance, the average power delivered by the engine is 90hp.

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Answer: ineffective collision. ( is one that does not result in product formation )

Explanation:

The force applied is 21N

According to Newton's second law, acceleration and net external force are directly proportional, while acceleration and mass are inversely proportional. Newton's second law of motion states, "Force is equal to the rate of change of momentum." For a constant mass, force equals mass multiplied by acceleration.

Given

Mass = 2kg

Acceleration = 10 m/s2

Friction force = 1

We have to determine the force

By using newtons second law formula

F - f  = ma

F -1 = 2 x 10

F – 1 = 20

F = 20 + 1

F = 21

Therefore the force applied is 21N

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Answer:

a.true

Explanation:

Inverse Relation means that the two Quantities behaves in opposite manner , so if one increase , the other will decrease

So Since the Resistance is inversely Proportional to its Diameter

Then the smaller the Wire ( smaller the diameter ) , then greater the Resistance.

So the Correct Answer is True

If we combine two carbon-12 atoms in a fusion process, then we get the element Mg (magnesium) atomic no. of Mg = 12.

Fusion would be the joining of two smaller nuclei to form a larger as well as heavier nucleus, whereas fission is the breaking of a heavy nucleoplasm into lighter nuclei. Energy was absorbed or released as a result of fission as well as fusion.

A magnesium-24 nucleus (Z = 12, A = 24) has the same nucleons as two carbon-12 nuclei (Z = 6, A = 12). The reaction is therefore a fusion of two carbon-12 nuclei, and no other particles are produced:

126C+126C→2412Mg

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The tires do 38216560.5 revolutions.

Here, one revolution = circumference of the tire

Circumference of the tire is 2 × π × r

Put values in 2 × π × r

Circumference = 2 × π × r

Circumference = 2 × 3.14 × 0.250 m

Circumference = 1.57 m

Given, tire travelled =  60000 km = 60000000 m

Total revolution =  60000000 m / 1.57 m

Total revolution = 38216560.5

Therefore, The tires do 38216560.5 revolutions.

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The three different types of meteorites originate from various locations on their parent bodies. Because only a small portion of a parent body contains both stone and iron, stony-iron meteorites are uncommon.

Pallasites were most likely formed in a relatively small area within these differentiated asteroids, which may account for their scarcity. Only about 45 known pallsites exist among the many thousands of identified meteorites.

More than 95% of meteorites that are seen to crash to Earth are made of stone. The two types of them are chondrites and achondrites. The majority of both types also contain metallic iron in small, dispersed grains, but silicate minerals make up the majority of both.

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Recurrent should be whole earlier than the end of April of the subsequent yr.

Transition education is a schooling requirement for team contributors who've qualified and achieved the equal capability on any other plane inside the equal organization, but not of the equal type. The airline should contact his FAA office. Liaise with FAA workplaces and work with assigned inspectors.

This schooling is known as SEP and the price of SEP education is covered by way of the airline and the first month's revenue is likewise paid. The FAA lets in U.S. military pilots certified in military lessons and categories of plane to earn business and device pilot scores equivalent to civilian. Pilots who complete navy flight publications are eligible for FAA certification.

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The elastic energy that is stored in the band starts to affect you as it begins to relax.the net external work done on the rubber band positive.

However, some of this energy, like before, is converted into heat and some into molecular vibrations. You don't get as much work done as you put in due to hysteresis, thus the net work is not zero.When the rubber band is stretched, potential energy increases.

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Mathematically speaking, acceleration, net force, and mass of an object are related as  [tex]F = m \times a[/tex], where F stand for net force, m for mass, and a for acceleration.

The formula F = m × a, which asserts that the net force acting on an object is equal to the rate at which its momentum is changing, is derived from Newton's second law of motion.

The rate of change of momentum is proportional to acceleration when mass is assumed to be constant.

As vectors, which also have direction and magnitude, force and acceleration imply that if the net force is moving downhill, the acceleration will also be moving downwards. A scalar quantity is mass.

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Copper is used in wiring and cookware because it can conduct electricity and heat well. The property which allow this  is call high conductance .

Conductivity is defined as a material's ability to conduct electricity or heat.

High Conductance  is the property of copper that allows it to do this . Copper is a metal and have free electrons which help in good conduction of heat and electricity .

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Stoke's law can be defined as a mathematical equation that represents the velocities of the small spherical particles in a fluid.

Stoke's law expresses the drag force preventing the fall of small spherical particles through a fluid.  Stoke's law states that the force that a sphere moving through a viscous liquid is directly proportional to the radius and velocity of the sphere, and the viscosity of the liquid.

The viscous drag force F can be expressed as:

F = 6πηrv

Where η is the fluid viscosity, r is the sphere radius, and v is the sphere’s velocity.

The force of a fluid is directly proportional to the fluid’s viscosity, velocity, and radius of the sphere.

Stoke's law is derived from considering the forces acting on a particle when it drops through the fluid column under gravity.

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The correct answer for fill in blank is line surges and spikes.

What is Transient voltage surge suppressors?

Installed on an AC or DC power line, a transient voltage surge suppressor serves as a cut-off in the event of a brief surge of electrical power, or "transient."

To lessen the harm that line surges and spikes do to connected equipment, transient voltage surge.

Thus ,Transient voltage surge suppressors are used to minimize the damage to connected equipment caused by line surges and spikes.

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The decibel is a unit used to express the loudness of a sound.

Following are the answers:- (a)speed of an airplane is continuous.

(b)age of a college professor chosen at random is continuous.

(c)number of books in the college bookstore is discrete.

(d) weight of a football player chosen at random is continuous.

(e) number of lightning strikes in rocky mountain national park on a given day is discrete.

Discrete variables are ones with a finite number of possible values.

A continuous variable is a variable that can take either an infinite or an uncountable number of values.

Discrete variables are ones with a finite number of possible values. This is not true of an airplane's speed, which varies constantly. As a result, an airplane moves at a constant speed.

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An astronaut is typically assigned to a mission after completing a two-year training.

An astronaut is a person who, after rigorous training of two years or more, will have the ability to operate or man a spacecraft. These will be trained to work in space programs that are coordinated by the government or by different private companies.

The astronauts are going to carry out the space flights fulfilling a certain mission that is commissioned by the government or the private company.

One of the main functions that astronauts have is to meet with the crew to coordinate tasks, pilot the ship, communicate with the personnel on the ground to report on the state of the ship, respond to emergencies, among others.

Therefore, we can confirm that an astronaut is typically assigned to a mission after completing a two-year training.

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Answer:

d. after two year training

Explanation:

took astronomy test