The maximum displacement of a mass attached to a spring is 0.122 m, while its highest acceleration is 0.953 m/s2. What is its maximum speed

Answer:

The acceleration of a point on the wheel is 11.43 m/s² acting radially inward.

Explanation:

The centripetal acceleration acts on a body when it is performing a circular motion.

Here, a point on the bicycle is performing circular motion as the rotation of the wheel produces a circular motion.

The centripetal acceleration of a point moving with a velocity  and at a distance of  from the axis of rotation is given as:

a = v2/r

Here, V = 8m/ s,r = 0.70 m

∴ a = 8/0.70 = 11.43m/ s2

Therefore, the acceleration of a point on the wheel is 11.43 m/s² acting radially inward.
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Answer:

because the a and the b both have ones next to them so a is 1 and b is 1 so the sum is 2 and the minus changes because it is within the two lines

Explanation:

The analogous formula for magnetic fields is the Ampere's law.

To find the answer, we need to know about the Ampere's law of magnetism.

Ampere's law states that the close line integral of magnetic field around a current carrying loop is directly proportional to the current enclosed within it.

Mathematically, Ampere's law is

B•dl= μ₀I

Thus, we can conclude that the analogous formula for gauss law is the Ampere's law in magnetism.

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Diagram A will result in the movement of the block to the left as a result of the forces.

This is referred to an influence which is capable of changing the motion of an object.

Diagram A has equal upward and downward force and left side which is 60N is higher than the right side which has 20N. The block will therefore move to the left.

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If the body is in motion, the force operating on it simply produces the motion; however, if the force acting on it is balanced, the body is in a static position and its shape is flexible.

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Force is explained as the multiplication of mass and acceleration. Its unit is N.

It is the external agent which helps to change the shape and size of an object. Force is used to pushing and pull the object and sometimes changes the direction of motion.

The net force acting on an object is equal to the sum of all forces acting upon it.

F = F1 + F2 + F3

The force is found as;

F=ma

Where,

Force, F

Mass,m

Acceleration,a

Unbalanced forces operating on a body might not modify its dimension, but balanced forces might.

The unbalanced forces act on the body is helps to give the motion to the body and only one application of force can act on the object.

If there is motion in the body the force acting on the body causes only the motion but if the force acting on the body is balanced the body is in static condition and the shape of the body can change.

Hence the given statement is justified unbalanced force acting on a body may not change the dimension and balanced forces may change the dimension.

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The arrows around the positive point charge illustrates the direction of the electric force/field.

This is described as an area in which force is exerted om other charged particles or objects.

Arrows could be around the positive or negative point charge and helps to depict the direction of the electric force.

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Answer:

0.0469 gal

Explanation:

177.49 ml is 0.17749 L.

So, 0.17749/3.78 gives the answer

The answer is 0.0469 gallons of chocolate milk a cup can hold which contains 177.44 ml of chocolate milk.

A liquid volume measurement that is equivalent to 231 cubic inches or four quarts is known as Gallon.

To calculate gallons of chocolate milk a cup can hold:

Given,

1 ml = 0.001 L

1 gal = 3.78 L

Convert 177.44 ml to liters:

1 Liter = 1000 ml

177.44 ml * 0.001 L/ml = 0.17744 L

Convert liters (L) to gallons (gal):

= 0.17744 L / 3.78 L/gal

= 0.0469 gal

Thus, a cup that contains 177.44 ml. of chocolate milk holds 0.0469 gal.

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The equation that represents the principle of the lever balance is:

The principle of moments states when a body is in equilibrium, the sum of the clockwise moment about a point equals the sum of anticlockwise moment about that point.

A see-saw represents a balanced system of moments.

The sum of clockwise moment = The sum of anticlockwise moments.

Assuming W1 and W2 are clockwise moments and W3 and W4 are anticlockwise moments.

The equation will b:  W₁ + W₂ = W3 + W4

In conclusion, a balanced see-saw illustrates the principle of the lever balance.

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For this experiment on a solar collector, the variables include the following:

In Science, a variable can be defined as a measurable attribute or physical quantity that changes or varies across an experiment and as such can take on different numerical values.

For this experiment on a solar collector, there are different variables and these include the following:

Furthermore, you should determine both the greatest and smallest rate of temperature change for each of the trials by subtracting the initial temperature from the final temperature based on the numerical values obtained from this experiment.

In conclusion, the trial with the greatest numerical value has the greatest rate of temperature change while the trial with the smallest numerical value has the smallest rate of temperature change

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Complete Question:

1. What are the variables in this investigation?

2. Which trial had the greatest rate of temperature change?

3. Which trial had the smallest rate of temperature change?

Answer:

Explanation:

Basically, the point on the axis of a lens or mirror to which parallel rays of light converge or from which they appear to diverge after refraction or reflection.

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The initial amount of electrical energy involved is 120 J

What is Electrical energy:

Here,

we have an initial amount of electrical energy, E.

E is converted into two forms of energy

given light energy, L = 20 J

and the Heat energy, H = 100 J

The law of conservation of energy states that energy cannot be created nor destroyed, but only converted into other forms.

According to The law of conservation of energy:

E = L + H

substituting the values, we get

E = 20 + 100

E = 120 J

So, option D is correct.

The initial amount of electrical energy involved is 120 J

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Your question is incomplete as the figure is missing, but most probably the question was:

How much electrical energy is involved in this transformation?

60 J

80 J

100 J

120 J

Answer:

Weight

Explanation:

The second law of motion by Newton can be used to determine weight.

The explanation of astronomers believe that fusion is going in sun after knowing that fusion takes average 14 billion year to undergo and sun is just 5 billion year old is that there are few protons in the sun who undergo fusion by few collisions only and not have to wait 14 billion years.

Thus we can say as their exist few protons inside sun who can undergo the fusion after few collisions only, the astronomers believe that fusion is going on there now also.

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Answer:

The bicycle average speed in kilometers per hour is 18.9km/hr.

Explanation:

The reading above states that a car travel a distance of 200m in a time of 38.31s and is asking for the speed in kilometers per hour (km/hr). In this case change 200m to km and 38.31s to hr

Using the conversion factor

1km = 1000m

1hr = 3600s

200m = 1km/1000m = 0.2km

38.31s = 1hr/3600s = 0.0106hr

Average speed = distance traveled/time taken

Average speed = 0.2km/0.0106hr

Average speed = 18.9km/hr

Therefore the bicycle average speed in kilometers per hour is 18.9km/hr.

The energy a 12V battery can deliver if it can move 3000°C of charge will be 36000 J and the energy that an identical battery (12V) can deliver while moving a charge of 40,000°C will be 480000 J

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical characteristic of electric charge. You might have a positive or negative electric charge. Contrary charges attract one another while similar charges repel one another.

Given a 12V battery can deliver if it can move 3000 C of charge, and the energy that an identical battery (12V) can deliver while moving a charge of 40,000 C

We have to find total energy that this battery can deliver

Let,

q = 3000 C

V = 12 V

The total energy delivered by battery will be as follow:

U = qv

U = 3000 x 12

U = 36000 J

Similarly for another battery

q = 40000 C

V = 12 V

So total energy delivered will be

U = 40000 x 12

U = 480000 J

Hence the energy a 12V battery can deliver if it can move 3000°C of charge will be 36000 J and the energy that an identical battery (12V) can deliver while moving a charge of 40,000°C will be 480000 J

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Power is needed for (1) acceleration and (2) lifting the loaded chairs. These two parts can be calculated separately and then added together.

(1) Power for acceleration:

The final speed of the lift is

V=(10 km/h)(1 h×1000 m60 sec×1 km)=2.887 m/s.

Then the power needed is

Pa=12m(V2−V20)/Δt=12(50×250 kg)(2.778 m/s)2=9.6 kW.

(2) Power for lift

Assume that the acceleration is constant (i.e. power supply is constant), its value will be

a=ΔVΔt=2.778 m/s5 s=0.556 m/s2.

Then the vertical lift during acceleration will be

(12at2)×(2001000)=1.36 m.

Hence, the power needed to increase the potential energy of the lift is

Pg=mgΔhΔt=(50×250 kg) (9.89 m/s2)(1.36 m)/(5 s)=3.41 kW.

Then the total Power required is

Ptotal=Pa+Pg=9.6+34.1=43.7 kW.

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Answer:

Acceleration due to gravity

Explanation:

"g" is the value of acceleration due to gravity usually 10m/s²

In the equation  w = m x g; g represents acceleration due to gravity.

Weight is a measurement of how much gravity is pulling on a body.

The weight formula is as follows: w = mg [ where, m = mass of the body and g = acceleration due to gravity.]

Weight being a force The SI unit of weight is the Newton, which is also the same as the SI unit of force (N).

When we look at how weight is expressed, we can see that it depends on both mass and the acceleration caused by gravity; while the mass may not change from one location to another, the acceleration caused by gravity does. Let's use this illustration to better understand this idea:

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s² is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a vector quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s².

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The boy has the greater linear velocity.

The linear velocity in a rotatory system is defined as:

v = ω×r

where,

v is the linear velocity

ω is the angular velocity

r is the radius.

As mentioned in the question, they are turning out at a constant rate, so the angular velocities of both the boy and the girl are the same.

The linear velocity now only depends on the radius of the disc, according to the aforementioned inference. The distance from the center has a directly proportional relationship with the linear velocity.

As a result, linear velocity increases as the distance from the center increases.

From the question, it is clear that the boy is farther away from the center than the girl is. The boy has a higher linear velocity as a result.

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Answer:

Their atoms are spread farther apart

Answer: because gaseous molecules are farther apart

Answer:

E = 1/2 M V^2 + 1/2 I ω^2 = 1/2 M V^2 + 1/2 I V^2 / R^2

E = 1/2 M V^2 (1 + I / (M R^2))

For a cylinder I = M R^2

For a sphere I = 2/3 M R^2

E(cylinder) = 1 + 1 = 2       omitting the 1/2 M V^2

E(sphere) = 1 + 2/3 = 1.67

E(cylinder) / E(sphere) = 2 / 1.67 = 1.2

The cylinder initially has 1.20 the energy of the sphere

The PE attained is proportional to the initial KE

H(sphere) = 2.87 / 1/2 = 2.40 m    since it has less initial KE

The act of Adjusting your speed to address one hazard at a time when faced with multiple risks is: (c) Separating

Meaning of separating Hazards

A hazard can be defined primarily as an occurrence that can lead to damage of properties and destruction of live.

separating Hazards can be defined as an act of adjusting one's speed in other to attend to one hazard before another.

In conclusion, The act of Adjusting your speed to address one hazard at a time when faced with multiple risks is: (c) Separating

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Answer:

No. They do not undergo any stage of metamorphosis at all. Once they hatch from their eggs, they remain as the same form for the rest of their life. They grow quite a bit, but they do not "morph", or transform, the way caterpillars turn into butterflies.

-38.26dB is the intensity level of the sound for the more distant listener relative to that for the nearer listener

By using the inverse square law,

As one listener is 81.9 times farther away from the source of the sound than the other.

Then Increasing the distance by 81.9 times reduces the intensity by

[tex]81.9^{2}[/tex] = 6707.61 times

The intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is:

= 10log(ratio of intensities)

= 10log(1/6707.61)

= 10log(0.000149)

=10 × -3.826

= -38.26dB (The negative sign represents the sound is less intense for the farther listener)

So, the intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is -38.26dB

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A fold is a stack of planar surfaces that are bent during permanent deformation and this happens when the earth's crust is compressed together.

This refers to the planar fracture that occurs in a volume of rock that causes significant displacement.

Hence, we can see that there are three types of fold and they are:

Please note that your question is incomplete so I gave a general overview of the concept to give you a better understanding.

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The radius of its orbit, measured from Earth's center, will be 1.44 × 10⁷ mm.

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Given data in problem is;

The mass of Earth is, [tex]\rm m_E = 5.98 \times 10^{24} \ kg[/tex]

Gravitational constant, G =6.674 × 10⁻¹¹ N m₂/kg²

The gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

[tex]\rm F_g = \frac{Gm_sm_e}{r^2}[/tex]

The centripetal force due to rotation of the satellite;

[tex]\rm F_c = \frac{m_s v^2}{r}[/tex]

The centripetal and the gravitational force are equal;

[tex]\rm F_g = F_c \\\\ \frac{Gm_sm_e}{r^2} = \frac{m_s v^2}{r} \\\\ r = G \frac{m_E }{v^2 } \\\\ r = G \frac{m_E }{(r \omega )^2 } \\\\ r = \sqrt[3]{\frac{Gm_E}{\omega^2}} \\\\ r = \sqrt[3]{\frac{6.67 \times 10^{-11}(5.98 \times 10^{24})}{(3.63 \times 10^{-4})^2}} \\\\ r = 1.44 \times 10^7 \ mm[/tex]

Hence, the radius of its orbit measured from Earth's center will be 1.44 × 10⁷ mm.

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The magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.

To find the answer, we need to know about the magnetic field inside the solenoid.

I= 0.3 A

Thus, we can conclude that the magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.

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Planetesimals beyond the orbit of Mars failed to accumulate into a protoplanet because the gravitational field of Jupiter continuously disturbed their motion

A planet can be defined as a celestial body which is moving in an elliptical orbit round the star.

The nine main planets are:

So therefore, the planetesimals beyond the orbit of Mars failed to accumulate into a protoplanet because the gravitational field of Jupiter continuously disturbed their motion

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Planetesimals beyond the orbit of Mars failed to accumulate into a protoplanet because the gravitational field of jupiter continuously disturbed their motion. This is further explained below.

Generally, a little planet; a body that, because to gravity, might potentially clump with many others to become a planet.

In conclusion, The planet Jupiter's gravitational field constantly disrupted the motion of planetesimals beyond the orbit of Mars, preventing them from ever settling down to form a protoplanet.

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50% of light will be transmitted by two ideal Polaroids oriented with their axes parallel to each other.

To find the answer, we need to know about the malus law.

Thus, we can conclude that 50% of light will be transmitted by two ideal Polaroids oriented with their axes parallel to each other.

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Answer:

Glass expands less than steel when heated.  This is because of the coefficient of expansion.  The statement is true.

Explanation:

Thermal expansion refers to:

Coefficient of thermal expansion:

given that lid on the jar is made up of steel.

so when we very hot water run over the lid for short time, The metal lid expands but the glass jar. which forms a gap between the metal lid and the glass jar.

Coefficient of thermal expansion of ordinary glass is 8.6×10^-6/°

Coefficient of thermal expansion of steel is 13×10^-6/°

we can say that  

Steel having higher coefficient of expansion will expand more as compared to the glass.

Hence the statement is True.

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Block the red and green lights and you get a blue shadow. Block all three lights, you get a black shadow.Block one of the three lights, you get a shadow whose colour is a mixture of the two other colours.

The distribution of colors produced when light is dispersed by a prism.

In this demonstration,

Students experiment with red, green, and blue light to get different shadow colours.

Primary colors are not a fundamental property of light but are related to the physiological response of the eye to light. Light is a continuous spectrum of all of the wavelengths that can be detected by the human eye.

The human eye normally contains only three types of colour ranges of the colour spectrum.

Humans and other species with three such types of color receptors are known as trichromats.

The R, G, B cones are most sensitive to the red, green, and blue wavelengths.

The colours each receptor is the most sensitive to. The blue cone will also pick up purple, blue, and green hues.

Green cones will pick up purple, blue, green, yellow, and orange hues. Red cones will pick up purple, blue, green, yellow, orange, and red hues. The sensitivities of the three cones overlap to let us perceive all visible colours.

Hence,

When red light, blue light, and green light stimulate the three colour receptors on our retinas equally, the signal gets blended in our brain and we see "white" light.

This is why we see sunlight as white light, not as its individual colours.

Slight changes in the relative signals of the cones enable us to see a myriad of different colour combinations, which is why we "see" more than just three colours.

In this demonstration, coloured filters are affixed to flashlights.

The coloured filters block some wavelengths and let others through. The red-filtered flashlight puts out wavelengths from red through to orange and yellow. The green-filtered flashlight puts out yellow, green and blue wavelengths. The blue-filtered flashlight puts out green, blue, and purple wavelengths.

When the three coloured light bulbs all shine on the same surface, we see all the wavelengths from red through to purple, which we perceive as white.

With these three coloured lights you can make shadows of seven different colours:

Blue, red, green, black, cyan (blue-green), magenta (pink), and yellow.

If you block two of the three lights, you get a shadow of the third color.

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