An ideal spring has a spring constant k = 26.2 N/m. What is the amount of work that must be done to stretch the spring 0.520 m from its relaxed length?

Answer:

12.5 rad/s²

Explanation:

Angular Acceleration: This can be defined as the ratio of linear acceleration and radius. The S.I unit is rad/s²

From the question,

a = αr................... Equation 1

Where a = linear acceleration, α = angular acceleration, r = radius.

But,

a = (v-u)/t.............. Equation 2

Where v = final velocity, u = initial velocity, t = time.

Substitute equation 2 into equation 1

(v-u)/t = αr

make α the subject of the equation

α = (v-u)/tr................. Equation 3

Given: v = 30 m/s, u = 0 m/s, t = 6 s, r = 0.4 m

Substitute into equation 3

α = (30-0)/(0.4×6)

α = 30/2.4

α = 12.5 rad/s²

Answer:

What are the options?

Explanation:

Answer:

d = 9 [m]

Explanation:

This is a problem where we must be clear about the concept of distance, which tells us that it is a measure of the space traveled on a trajectory.

Therefore:

d = 2 + 7

d = 9 [m]

The directions are not taken into account, as it is the sum of the displacements traveled, regardless of their directions.

Answer:

Explanation:

Average velocity in the 24 m interval is 24 / 4 = 6 m/s

Average velocity in the 64 m interval is 64 / 4 = 16 m/s

There is a 4 second interval between the two points where average velocity equals actual velocity

a = Δv/t = (vf - vi) / t = (16 - 6) / 4 = 2.5 m/s²

s = v₀t + ½at²

24 = v₀(4) + ½(2.5)4²

4v₀ = 24 - 20

v₀ = 1 m/s

Not asked for but the velocity at the end of the first segment and beginning of the second segment is 11 m/s and final velocity is 21 m/s

Answer:

F = 3062.5  N

Explanation:

Given that,

The mass of a sled, m = 35 kg

The speed increase from 30 m/s to 65 m/s in 0.4 seconds.

We need to find the force needed to accelerate the car.

Net force is given by :

F = ma

where

a is acceleration of the car.

\(F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{35\times (65-30)}{0.4}\\\\F=3062.5\ N\)

So, the net force is 3062.5  N.

Explanation:

the answer is D because of inertia aka the force that pulls obejects downs

The sentence that best describes the motion is "the motion is a circular motion and has completed one revolution".

Question: "If a car moved one full circular track of 15 Km, which sentence describes its motion?​"

An object moves in a circle at a constant speed in a motion known as uniform circular motion. Any point on a propeller, for instance, that is spinning continuously, is moving uniformly in circles.

There are two types of circular motion: uniform and non-uniform.

Circular motion can be seen in the orbit of a satellite, ice skaters moving at a constant speed in a circle, and vehicles traveling in a circle.

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Answer:

I said that setting enriches the characters. What I didn’t tell you is that it helps to form the characters. It does the same for the plot.

Explanation:

An item at rest will remain at rest, and an object in motion will continue to move in a straight path at a constant speed, according to the first law of motion, commonly known as the law of inertia.

Newton's laws of motion govern how a baseball moves as a result of being thrown or struck. According to Newton's first law, a moving ball will continue to move in a straight line until other forces are acting on it.

The ball is severely distorted by the enormous force the bat applies to it ball being struck. The average force acting during the bat-ball collision is therefore about two tons, with a peak force of nearly four tons, during the 0.7 millisecond contact time. There's a lot of force there!

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The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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(a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.

Acceleration owing to gravity is the term used to describe the rate at which a body's velocity changes as a result of the earth's gravitational pull. In general, it is assumed that the acceleration caused by gravity is in the downward direction.

The acceleration caused by gravity has been calculated as, however as it changes from location to location, it may have an impact on the estimation.

You may have thought that the wind has no impact, but it can actually generate drag and even cause the ball to shift course.

Therefore, (a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.

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The number of turns in the secondary coil is 50 turns.

A transformer is a passive aspect that transfers electric energy from one electrical circuit to another circuit or a couple of circuits. A transformer is an electrical tool that uses electromagnetic induction to skip an alternating present-day (AC) sign from one electric-powered circuit to some other, often changing the voltage and electric-powered modern.

Relying on the power score and specification, energy transformers can similarly be categorized into three classes: Small strength transformers, Medium energy transformers, and huge electricity transformers.

The voltage in the primary or secondary coil of a transformer is proportional to the number of turns in the coil.

where V1, and N1 are the voltage and number of turns in the secondary coil respectively.
V2 and N2 are the voltage and number of turns in the primary coil respectively.

Hence, V1/V2 = N1/N2

        =6/240 = N1/2000

        = N1 = 50 turns.

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Answer:

Seventy-Five Metres

Explanation:

You can solve this simply by multiplying 15 m/s by 5 seconds

\(15 \frac{m}{s} * 5s\\=75\frac{ms}{s}\\= 75m\)

Answer:

can u show question 1?

Explanation:

The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.

Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.

Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.

Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.

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Answer:

\(\Rightarrow L=70 .03472 cm\)

Explanation:

For convenience, let's represent the thermal expansion coefficient by \(\alpha\), i.e. \(????=\alpha\).

Given that, for steel \(\alpha =1.24\times 10^{-5}\) °\(C^{-1}\),

initial length, \(L_0=70 cm\), initial temperature, \(T_0=70\) °\(C\), and the final temperature, \(T=110\) °\(C\).

Let the length of the rod at \(T=110\) °\(C\) be \(L\).

Now, change in length, \(\Delta L=\alpha L_0 \Delta T\)

\(\Rightarrow \Delta L=\alpha L_0 (T-T_0)\)

\(\Rightarrow L-L_0=1.24\times 10^{-5}\times 70 (110-70)\)

\(\Rightarrow L-70=1.24\times 10^{-5}\times 70 \times 40\)

\(\Rightarrow L=70 + 0.03472 cm\)

\(\Rightarrow L=70 .03472 cm\)

Hence, the length of the rod at \(T=110\) °\(C\) be \(70.03472 cm\).

The temperature remains constant while the substance is changing state.The correct answer is option C.

When a substance undergoes a change of state, such as melting, boiling, or condensing, the temperature of the substance remains constant during the phase transition. The process of changing state requires the absorption or release of heat energy without a change in temperature.

For example, when a solid is heated, its temperature increases until it reaches the melting point. At this point, the substance starts to change from a solid to a liquid, but the temperature remains constant until all the solid has melted.
The absorbed heat energy is used to break the intermolecular forces holding the particles together, rather than increasing the kinetic energy of the particles.

Similarly, during the process of condensation or freezing, a substance releases heat energy as it changes state. This released energy is used to form intermolecular forces and convert the substance from a gas to a liquid or a liquid to a solid. The temperature remains constant until the phase transition is complete.
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The magnitude of the average force exerted on the ball by the club is 429.27 N.

Force can be defined as the product of mass and acceleration

To calculate the force exerted on the ball by the club, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The magnitude of the average force exerted on the ball by the club is 429.27 N.

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Answer:Thermal is to heat as absorb  is to water.

Explanation:

Water is able to absorb heat - without increasing much in temperature - better than many substances. This is because for water to increase in temperature, water molecules must be made to move faster within the water; this requires breaking hydrogen bonds, and the breaking of hydrogen bonds absorbs heat.

please mark me as brainliest.Thank you so much

Answer:

a)    λ = 4L, b) L_c = ½ Lₐ,  c)  f = 214 Hz

Explanation:

a) in this part, the fundamental frequency (1st harmonic) is requested

In a pipe, the side that is closed has a node and the open side has a belly, so the wavelength inside the pipe is ¼ of the wavelength.

            λ = 4L

to find the frequency let's use the definition of velocity

            v = λ f

            f = v /λ

            f = v / 4L

b) in this part let's start by finding the resonance for a tube open at both ends

           λ = 2 L

           f = v / 2L

since they ask for the same frequency, let's match the two expressions

        v / 4L_c = v / 2Lₐ

        L_c = ½ Lₐ

therefore the length of the closed tube must be half the length of the open tube

c) It is indicated that the length of the open tube is L = 80 cm = 0.80 m

the frequency is

               f = v / 2L

               f = 343/2 0.8

               f = 214 Hz

The option that is not one of the three forces responsible for different rock fragments sticking together is known as static electricity. Thus, the correct option for this question is D.

Rock fragmentation may be characterized as a type of mechanism through which extremely large rocks can be fragmented into smaller pieces with the help of various forces and mechanisms like weathering.

According to the context of this question, nuclear force, gravity, and frictional force are responsible for facilitating the mechanism of weathering through which large rocks can be fragmented into smaller pieces.

Therefore, the option that is not one of the three forces responsible for different rock fragments sticking together is known as static electricity. Thus, the correct option for this question is D.

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Horizontal force will be there but angular force is zero because it is dependent on angle and angular velocity is constant.

\(\tau = rF\sin\theta\)

T= torque

r= radius

In mechanics, every action that tries to preserve, alter, or change a body's motion is referred to as a force. Isaac Newton's Principia Mathematica has three principles of motion that are usually used to explain the concept of force (1687).

Newton's first law states that in the absence of an external force, a body will continue to be in either its resting or evenly moving condition along a straight path. According to the second law, any time an outside force acts on a body, the body accelerates (changing velocity) in the force's direction.

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Answer:

Hope that helps

Explanation:

the increase in the internal energy of the water at the bottom of the falls

= mgh

= 505 * 9.81 * 50

= 247703 J ----answer

Answer:

247702.5 J

Explanation:

the question says that all of the initial potential energy is transferred into internal energy, meaning we have to find PEi

PE=mgh

m=505 kg

g=9.81 m/s^2

h=50 m

=>505(9.81)(50)= 247702.5

the internal energy increased by 247702.5 J

Answer:

0.338125 m/s

Explanation:

Applying,

Law of conservation of momentum

m'v' = mv............ Equation 1

Where m' = mass of the first skater, v' = velocity of the first skater, m = mass of the second skater, v = velocity of the second skater.

make v the subject of the equation

v = m'v'/m........... Equation 2

From the question,

Given: m' = 54.1 kg, v' = 0.375 m/s, m = 60 kg

Substitute these values into equation

v = (54.1×0.375)/60

v = 20.2875/60

v = 0.338125 m/s

Answer:

F = 1.8 KN

Explanation:

Given that the spacecraft is 2.00 Earth radii above the Earth's surface, the force of Earth's gravity on it can be determined by;

F = \(\frac{GMm}{(R + h)^{2} }\)

Where: F is the force, G is the universal gravitation constant, M is the mass of the earth, m is the mass of the spacecraft, and R is the radius of the earth and h is the distance of the spacecraft to the surface of the earth.

G = 6.67 x \(10^{-11}\) N\(m^{2}\)\(kg^{-2}\), M = 5.972 x \(10^{24}\) kg, m = 1650 kg, R = 6371 km, h = (2.0 x 6371 km) = 12742 km.

Thus,

F = \(\frac{6.67*10^{-11}*5.972*10^{24} *1650 }{(6371*10^{3}+12742*10^{3}) ^{2} }\)

  = \(\frac{6.5725*10^{17} }{(19113000)^{2} }\)

  = 1799.17

F = 1.8 KN

The force of the Earth's gravity on the spacecraft is 1.8 KN.

Answer:

well at the rate he goes he would be at 2.5km

Answer:

B

Explanation:

W = f * d

   = mg * d

   = 40(9.81)(10) =~4000 J

To better understand crash dynamics we have to look at "the laws of motion."

The laws of motion

The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.

It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.

Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.

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Answer:

mars

Explanation:

it is the fourth planet of the solar system