How will the potential energies of the object and the spring compare after the distances are doubled? the gravitational potential energy of the object will be two times greater than the elastic potential energy of the spring. The elastic potential energy of the spring will be four times greater than the gravitational potential energy of the object. The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object. The potential energies will remain equal to one another.

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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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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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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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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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

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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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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Answer:

because the friction in the baloons and the magnetism make it like nuclear fision

Explanation:

The magnetic field and friction between the balloons when placing two very strong magnets in the middle of two separate balloons provide a good model for nuclear fusion.

Nuclear fusion is the process through which light elements interact to create heavier elements (up to iron). Significant amounts of energy are released when interacting nuclei are from elements with low atomic numbers, such as hydrogen (atomic number 1) or its isotopes deuterium and tritium.

Thermonuclear weapons, or hydrogen bombs, which were created in the decade immediately following World War II, were the first to utilize the tremendous energy potential of nuclear fusion.

There are two main categories of fusion reactions: those that maintain the ratio of protons to neutrons and those that convert protons to neutrons.

Therefore, the magnetic field and friction in the balloons when placing two very strong magnets in the middle of two separate balloons provide a good model for nuclear fusion.

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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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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

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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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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Answer:

Explanation:

Given:

m₁ = 10 000 kg

V₁ = 4 m/s

m₂ = 1 000 kg

V₂ = 0 m/s

____________

V - ?

The law of conservation of momentum in inelastic collision:

m₁·V₁ + m₂·V₂ = (m₁ + m₂)·V

V₂ = 0

m₁·V₁  = (m₁ + m₂)·V

V =  m₁·V₁ / (m₁ + m₂)

V = 10 000 · 4 / (10 000 + 1 000) ≈ 3,6 m/s

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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Option (a) smaller than P  This is because the pressure (P) at any depth 'd' from the top surface of the water with density (ρ).

P = ρ × g × d

where,

g is the acceleration due to the gravity

thus from the above equation it can be concluded that the pressure at any depth 'd' is directly proportional to the density of the water.

thus,

in the given case the density of the water is lower than that in the first case.

The term "Pressure" refers to the thrust (force) applied to a surface per unit area. It can alternatively be described as the force-to-area ratio (over which the force is acting).

Pressure (P) = Thrust/Area is the formula and the unit of pressure

Pascals (Pa) is the SI unit of pressure. 1 Pa = 1N/m2

An illustration would be that a sharp pin is simpler to hammer than a dull pin. This is due to the fact that a blunt pin's end has a lesser area than a sharp pin's end. As a result, there is an increase in pressure, which makes it simpler to hammer the sharp pin.

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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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The frictional force between the block and the plane is 25 N.

Friction is the force resisting the relative motion of sturdy surfaces, fluid layers, and material factors sliding towards each specific. There are numerous styles of friction. Dry friction is a strain that opposes the relative lateral movement of two stable surfaces in touch.

Calculation:-

mass = 5 kg

angle of inclination = 60°

distance traveled = 500 m

force = mg cos 60°

          = 5 × 10 × 1/2

          = 25 N

Friction is the shape of contact pressure. It exists between the surfaces that are in touch. The frictional force relies upon the character of the floor in contact. The rougher the ground, the extra friction is involved. The frictional force is proportional to the urgent pressure, which is the burden of the body. it's miles impartial of the place of the touch.

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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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We an see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region because we perceive only what lies in the visible region.

The sun and Sirius A emits light in every part of the electromagnetic spectrum. But our eyes cannot perceive every frequency of light. We see only what can be perceived by a human eye. Just because we cannot see other spectrum does not mean that it is not present.

The visible spectrum of light is 400 nm to 780 nm. The colours are:

Therefore, we can see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region because we perceive only what lies in the visible region.

The given question is incomplete. The complete question is:

Consider three objects - Sirius A, Sun and light bulb. We can see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region. why is this so?

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The net force of the runner, given the data from the question is 280 N.

What is net force

The net force is the vector sum of forces acting on a particle or object.the net force is a single force that replace the effective of the original forces on the particles motion.

Sol-As per the given question the following data are obtained-

Exerting force = 325 N

Resistance force = 45 N

Net force =?

The net force of the runner can be obtained as illustrated below:

Net force = Exerting force - resistance force

Net force = 325 - 45

Net force = 280 N

From the calculation we can get the runner's net force is 280 N.

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Mechanism of action enhance the effectiveness of  levothyroxine for the patient with hypothyroidism.

What is levothyroxine?

levothyroxine is  also known as L-thyroxine, is a  manufactured from of the thyroid hormone thyroxine. It is used to the  treat thyroihormone deficiency, including a severe from thrle known as myxedema coma. It may also be used to treat and prevent certain types of the thyroid tumors. It is not indicated for the weight loss.

Levothyroxine absorption is the increased by fasting and it is decreased in the  presence of the food and it is the malabsorption syndromes. Dietary fiber to reduces the bioavailability of T4.

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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 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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Water depth decreases at 128/125π ft ^3/min when the cone leaks water at a rate of 10 ft3/min

The ratio of the radius(r) of the upper surface of the water to the water depth (w) is based on the overall dimensions of the cone r/w = 5/10.

The volume of a cone of water is given by the formula V(w) = (π/12)w^3

After differentiation we get dV/dW = π/4w^2

We are told that dV/dT = -3

dW/dT= (dW/dV)(dV/dT) = 4/πw^2(-3)

When the depth of water is 10 ft we get the rate of fall of water is 128/125π ft ^3/min.

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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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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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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.

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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