a spring with a spring constant of 125 n/m is stretched 2.0 cm from its equilibrium position. what is the change in the spring potential energy?

The velocity of the motorcycle with respect to the passenger in the car is determined as 20 mi/hr.

The velocity of the motorcycle is determined by applying the principle of relative velocity.

The relative velocity is defined as the velocity of an object with respect to another observer.

A frame of reference is defined as the reference point or chosen base point in which a measurement is taken.

The relative velocity of the motorcycle is calculated by choosing an observer in the car as the frame of reference.

Mathematically, this formula is given as;

Vr = Vm - Vc

where;

Vr = 80 mi/hr  -  60 mi/hr

Vr = 20 mi/hr

Thus, the relative speed of the motorcycle is a function of the speed of the car and the speed of the motorcycle.

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Poor circulation is not a benefit of stretching.

How many minutes of stretching should a person perform before participating in physical activities?

Stretching for 5 to 10 minutes is probably enough for most activities. It's important, however, to adequately stretch all the muscles you'll be using. Three benefits of stretching before a workout include increased blood flow.

What are the 5 benefits of stretching?

Which benefit comes with flexibility?

Activities that lengthen and stretch muscles can help you prevent injuries, back pain, and balance problems. A well-stretched muscle more easily achieves its full range of motion.

Thus, poor circulation is the correct option.

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The width of the slit would be approximately 690 nm. The width of a slit refers to the size of the opening in the barrier that is used to produce the slit.

The width of a single slit that produces its first minimum at 60 degrees for 600-nm light can be calculated using the formula for the width of a single slit, which is:

w = λ / (sin θ)

where w is the width of the slit, λ is the wavelength of the light, and θ is the angle at which the first minimum occurs. Plugging in the values for λ and θ, we get:

w = 600 nm / (sin 60°)

= 600 nm / (0.866)

= 690 nm

So the width of the slit would be approximately 690 nm.

It's important to note that this is just an approximate value, as the exact width of the slit will depend on the precise conditions of the experiment, such as the distance between the slit and the screen, the size and shape of the slit, and other factors.

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Answer:

Heat Loss = Heat Gain

(60 - T) K1 M1 = (T - 10) K2 M2

M1 = metal        M2 = liquid

K1 = metal         K2 = liquid

(60 - T) K1 * 1 = (T - 60) K2 * 5

60 K1 - T K1 = 5 T K2 - 300 K2

T (5 K2 + K1) = 300 K2 + 60 K1

T = (300 K2 + 60 K1) / (5 K2 + K1)

Need to find largest T

(probably ethanol and iron - you will need to check)

The given statement that 'The total magnification achieved using a 10x objective lens with a 10x eyepiece lens is 20x' is false.

A stereomicroscope is a good option for viewing large and opaque specimens.

The magnification of eyepiece is either 10x or 15x.

The magnification of objective lens can be 10x, 40x or 100x.

The total magnification is nothing but the multiplication of the magnification of eyepiece and the magnification of objective lens.

Given that, magnification of objective lens is 10x

Magnification of eyepiece lens is 10x

So, the total magnification is,

⇒ 10x × 10x = 100x

But the total magnification is given as 20x.

Thus, the given statement is false.

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The ball should be tossed with speed 10 m/s in order for it to take 2 second to return to the level from which it was tossed.

The Time of flight of projectile motion is defined as the total time taken during ascent and fall to the ground.

Here, time of flight is given 2 seconds. So, Time of ascent is 1 second. Time of ascent is time taken to reach the highest height.

We have to apply the formula

v= u +at

At the maximum height, v =0 m/s.

0 = u - 10×1

So, u = 10 m/s

So, our answer depends on the value of g. If we take the value of g as 9.8, then speed required will be 9.8 m/s

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Train must move with equal speed as of platform in opposite direction i order to maintain zero relative velocity.

Velocity is the speed in which something move in a paticular Direction.

From the question it is given that

relative velocity between platform and train = 0

since relative velocity of train with respect to platform is given by

where,  is the velocity of train and  is the velocity of platform

⇒ vt = vp

since platform is always at stationary i.e.,

thus train velocity  = 0

Therefore, train does not move

If, Platform is moving then train must move with equal speed as of platform in opposite direction.

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The temperature rise of the iron is 13.33°C

Calorimetry is the science of measuring the heat absorbed or evolved during the course of a chemical reaction or change of state.

The heat gained or released during a calorimetry procedure can be calculated as follows:

Q = mc∆T

Where;

According to this question, a 5kg block of iron with a specific heat capacity of 450 J/kg °C recieves 0.03 MJ of energy. The change in temperature can be calculated as follows:

30,000J = 5 × 450 × ∆T

30000 = 2250∆T

∆T = 30000 ÷ 2250

∆T = 13.33°C

Therefore, 13.33°C is the temperature rise.

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This water wave passes past while a floating leaf cycles down and up three times in a second. The wave's velocity will be 2 hertz.

Use this illustration The amount of waves that travel through a fixed location in a specific amount of time is known as frequency. The duration of a wave passing is therefore half a second. If so, the rate is 2 Hertz per second. Four Hertz is the frequency if 240 waves per hour are sent.

One cycle per second, or hertz, is the SI unit for frequency (Hz). Cycles per second are represented as a hertz.

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acceleration during the constant speed is the  friction acceleration which is 3 ms^-2.

Accelaration is the eate of the change of the velocity of an object with respect by time.

Accelaration (a) id the reason that change in velocity over to the change in time.

Represented by the equation to a= ∆v/∆t. This is allowa you to measure how fast velocity by the changes in meters per second squars (m/s^2).

Here mass is 14 KG box

Here friction force applied by the  because of rough place so that it stopped in 2 seconds

So acceleration by friction is negative sense and 6/2 or 3 ms^-2

So static frictional force is = 14×3 or 54 which is greater  than the  applied force

So the acceleration during the constant speed is the  friction acceleration which is 3 ms^-2.

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0.08 gram mass of magnesium oxide will be formed.

Mass is an intrinsic property in the mass of a body. It was the  traditionally believed to the  be related to the quantity of matters in the  physical body, until it is  discovery of the atom and  particle in physics.

Mass is quantitative measure of inertia a fundamental quantity of all matters.

2Mg + O 2→2MgO

Molar mass of Mg =24 g

Molar mass of MgO =40 g

No. of moles of O2=6.022×10^20/6.022×10^23

=0.001 mole of O2

No. of moles of Mg=0.486/24

=0.02 moles  of Mg

As moles of O 2

​ are less than 0.01, O 2

 is limiting reagent and it is  0.002 moles of MgO is formed.

⇒0.002×40=0.08 g of MgO

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Area T represents the distance travelled by the object whilst moving at a constant speed. Option (C) is correct.

The distance an object travels in a unit of time is its speed. Speed is a scalar quantity since it has simply magnitude and no direction. SI unit of speed is meter per second.

Hence, mathematically:

Speed = distance travelled/time interval.

Distance travelled = speed × time interval.

In the given graph, area T represents  constant speed × time interval. Hence, area T is equal to the distance travelled by the object moving at a constant speed.

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Answer:

Thermal Expansion and Contraction. THERMAL EXPANSION AND CONTRACTION. Materials expand or contract when subjected to changes in temperature

Explanation:

Answer:

Centripetal acceleration: [tex]1250\; {\rm m\cdot s^{-2}}[/tex].

Resultant force on the object should be [tex]12500\; {\rm N}[/tex].

(Assuming that the speed of the object is [tex]50\; {\rm m\cdot s^{-1}}[/tex].)

Explanation:

For an object that travels along a circle path of radius [tex]r[/tex] at a speed of [tex]v[/tex], (centripetal) acceleration will be [tex]a = (v^{2} / r)[/tex].

In this example, speed is [tex]v = 50\; {\rm m\cdot s^{-1}}[/tex] while the radius of the circular path is [tex]r = 2\; {\rm m}[/tex]. The (centripetal) acceleration of this object will be:

[tex]\begin{aligned}a &= \frac{v^{2}}{r} \\ &= \frac{(50\; {\rm m\cdot s^{-1}})^{2}}{(2\; {\rm m})} \\ &= 1250\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].

For an object of mass [tex]m[/tex], the resultant force to achieve acceleration [tex]a[/tex] is [tex]F(\text{net}) = m\, a[/tex]. In this example, [tex]m = 10\; {\rm kg}[/tex] while [tex]a = 1250\; {\rm m\cdot s^{-2}}[/tex]. The required resultant force will be:

[tex]\begin{aligned}F(\text{net}) &= m\, a \\ &= (10\; {\rm kg})\, (1250\; {\rm m\cdot s^{-2}}) \\ &= 12500\; {\rm kg \cdot m\cdot s^{-2}} \\ &= 12500\; {\rm N} \end{aligned}[/tex].

There are several reasons why the actual force of friction for an object at rest may be less than the calculated force of friction. One possible reason is that the object may be on a surface that is not completely smooth, and the roughness of the surface may reduce the amount of friction between the object and the surface. Another reason is that the object may be moving slightly even when it is at rest due to factors such as air currents or vibrations, which can also reduce the amount of friction. Finally, the force of friction is also affected by the materials that the object and the surface are made of and the temperature and humidity of the environment. All of these factors can affect the actual amount of friction that is present and may cause it to be less than the calculated force of friction.

The reflected pulse will be equal to or less than incident pulse when wave pulse on a string reflects from a boundary.

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The angular speed increase by a factor of 2 i.e. option (a). 2 is correct

The rate of change of angular displacement is referred to as angular speed. Radian per second is used to measure angular speed. Both angular velocity and angular speed are represented using the same formula.

Utilizing the angular momentum conservation law,

Li = Lf

Thus ,Li is the initial angular momentum and Lf the final angular momentum are, respectively.

L = IW, where I is the inertia momentum and W is the angular velocity, can also be used to determine angular momentum.

so, [tex]IiWi = IfWf[/tex]

[tex]L_{f} =\frac{1}{2} L_{i}[/tex]

According to the given condition, then from above two equation,

[tex]L_{i}W_{f} = \frac{1}{2}L_{i}W_{f}[/tex]

[tex]2W_{i} = W_{f}[/tex]

Thus the angular speed of the skater is factor of 2.

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Answer:

As little as 10 percent of the energy at any trophic level is transferred to the next level; the rest is lost largely through metabolic processes as heat.

Explanation:

The gravitational force of attraction between two objects is 2.964 x 10⁻9 N. So, the correct option is D.

Gravitational force is defined as the force of attraction experienced by a body due to the gravity of earth.

Here,

Mass of each body,

m₁ = m₂ = 5 kg

Distance between the masses, r = 0.75 m

The equation for gravitational force is given by,

F = Gm₁m₂/r²

where G is the gravitational constant.

Therefore,

F = (6.67 x 10⁻¹¹x 5 x 5)/(0.75)²

F = 166.75 x 10⁻¹¹/0.5625

F = 2.964 x 10⁻9 N

Hence,

The gravitational force of attraction between two objects is 2.964 x 10⁻9 N.

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The propagation speed of the waves is v = 1.1009 m/s

Waves' progression and transformation through space and time. The article will examine several definitions in addition to the usual one for wave propagation.

There are numerous crests and troughs that sound waves travel over. II Sound waves need a physical medium to travel through. III The movement of particles is thought to be responsible for the propagation of sound waves.

Transverse waves include electromagnetic waves like X-rays, radio waves, and visible light. Electric and magnetic fields moving in a perpendicular direction make up these waves. The best examples of longitudinal waves, which vibrate parallel to the direction of the wave, are sound waves.

The formula is

v = fλ

given distance is 5.45 m

and the number of times the bridge is shaken is 3 times

this implies

v = 3 / 5.45 × 2

v = 1.1009 m/s

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Answer:

[tex] \huge{\boxed{68,738.99 \: J}} [/tex]

Explanation:

The kinetic energy of the car can be found by using the formula

[tex] \bold{k = \frac{1}{2} \times m \times {v}^{2} \\ }[/tex]

m is the mass in kg

v is the velocity in m/s

From the question

m = 1854.5 kg

v = 8.61 m/s

[tex]k = \frac{1}{2} \times 1854.5 \times {8.61}^{2} \\ k = 927.25 \times 74.1321 \\ \\ k = 68738.989[/tex]

We have the final answer as

The velocity of the object would be 100m/s.

The pace is the directional velocity of an object in movement as an indication of its price of the trade-in role as determined from a specific body of reference and as measured through a selected fashionable of the time.

Speed defines the path of the movement of the body or the object. speed is mainly a scalar quantity. speed is basically a vector amount. it is the rate of alternate distance. it's miles the charge of trade of displacement.

The consistent pace is the rate at which an object travels equal displacements in equal instances. Variable pace it's far the velocity at which an object cuts one-of-a-kind displacements at different instances.

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According to sect 110.12 (A) in the NEC, unused knockouts and other openings in electrical boxes and cabinets are required to be closed.

What do you understand by national electrical code?

A United States standard for the secure installation of electrical wiring and equipment is the National Electrical Code (NEC), also known as NFPA 70. It is a component of the National Fire Protection Association's National Fire Codes series (NFPA). While the NEC does not represents a U.S. law, NEC use is typically mandated by state or municipal legislation, as well as in many jurisdictions outside of the United States. The NEC standardizes and codifies the specifications for secure electrical installations. The "authority having jurisdiction" checks to see if these minimum requirements have been met.

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Answer:hope this helps

pleasee i need the brainliest

Explanation: Warm air rises and is replaced by cooler air from the surrounding area. The warm air eventually cools off, falling down and replacing more warm air. This causes a constant upward flow sometimes called a thermal that allows large birds to soar without effort.

The speed of water in the constriction is faster when compared to the rest of the pipe.

The venturi effect consists of a physical phenomenon applied in fluid dynamics in which the pressure of flow decreases when there is a constraint in the conduct, accompanied by an increase in velocity of the fluid due to a decrease in cross-sectional area of the conduct.

The constriction is said to have a lower radius when compared to the rest of the pipe.

Applying the equation of continuity, A₁ v₁ = A₂ v₂

where, A is the area

v is the velocity

It is said from the above equation that, if area decreases velocity increases and if area increases velocity decreases, as velocity and area are inversely proportional to each other.

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The initial vertical velocity of the object is 2.5 m/s .

Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. There are four equations for starting velocity: (1) The starting velocity is expressed as u = v - at if time, acceleration, and final velocity are given.

Keep in mind that the INITIAL VERTICAL VELOCITY of the projectile is equal to ZERO because it is launched horizontally.

Given,

base  =1m

height = 2.5

vertical velocity =2.5/1

The initial vertical velocity of the object is 2.5 m/s .

A projectile's initial velocity has both a horizontal component and a vertical component if it is thrown at an angle to the horizontal. The projectile's displacement horizontally as a result of velocity is shown by the horizontal velocity component (vx).

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Answer:

[tex] \huge{\boxed{3675 \: N}} [/tex]

Explanation:

The force acting on the tow truck can be found by using the formula

[tex] \bold{F = mass × acceleration} [/tex]

From the question

mass = 1225 kg

acceleration= 3 m/s²

F = 1225 × 3 = 3675

We have the final answer as

The center of mass must be found in order to analyze issues involving the flow of matter when subjected to forces, or dynamics.

Motion is the alteration of a skin's position or orientation over time. The movements of people and animals is just one illustration of how everything in the cosmos is always moving. In addition, the fundamental building block of matter, the atom, is likewise constantly in motion.

Motion is the free flow of a body in relation to time. For instance, the fan, the carpet's dust blowing off of it, the water running from the faucet, a ball rolling about, a moving car, etc. Even just the universe is always changing.

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The force required to extend or compress a spring, divided by the lengthening or shortening of the spring, is known as the spring constant.

A vertical spring with mass M that is attached steadily lowers to its equilibrium position. This causes the spring x to lengthen. Suppose the same thing was still tied to the same vertical spring, but it was allowed to fall suddenly instead.

The maximum velocity is equal to the amplitude times the angular frequency, or v max=A v max = A, since the sine function oscillates between -1 and +1. The mass is travelling toward x=+A when the maximum velocity occurs at the equilibrium location (x=0).

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Answer:

Exploding white dwarfs

Explanation:

The galactic distances used to measure the acceleration of the universe are determined by observations of exploding white dwarfs. Some observations has shown the evidence that the universe is accelerating. This accelerating expansion result from observations of the brightness of distant supernovae.

Answer:

trigonometric parallax.

Explanation: