A metal wire, initially 1.000m long, extends by 4mm when a loaded of 2N is added to it. What will the length of the wire be if a further 3N is added, assuming it does not extend beyond its limit of proportionally?

The value of the [tex]\rm \triangle x[/tex] will be 29.14 m. Delta represent the change.

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The velocity in the part 1;

V₁ = 8.81

The velocity in the part 2;

V₂ = 9.66 m/sec

The resultant of the two vectors of velocity gives the velocity for the connecting path.

[tex]\rm V = \sqrt{8.81 ^2 + 9.66^2 } \\\\ V= 13.07 \ m/sec[/tex]

The  time period for the train accelerates;

[tex]\rm \triangle x = v \times t \\\\ \triangle x = 13.07 \ m/sec \times 2.23 \ sec \\\\ \triangle x = 29.14 \ m[/tex]

Hence the value of the [tex]\rm \triangle x[/tex] will be 29.14 m.

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Answer:

the answer is 14.77 for ∆x

the answer for ∆y is 1.16

The upthrust experienced by the cube of metal is determined as 7.84 N.

The upthrust experienced by the body is calculated as follows;

Fu = ρVg

where;

S.G = density of the body / density of water

density of the body = S.G x density of water

ρ = 0.8 x 1000 kg/m³

ρ = 800 kg/m³

V = L³

V = (0.1)³

V = 0.001 m³

Upthrust = ρVg

Upthrust = 800 x 0.001 x 9.8

Upthrust = 7.84 N

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More stopping force is required when the car has to stop in a shorter distance.

Force is directly proportional to acceleration according to Newton's second law of motion.

This means that acceleration increases when force increases.

Stopping of a moving car is negative acceleration.

Therefore, more stopping force is required when the car has to stop in a shorter distance.

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If you double the current through a resistor, the power dissipated by the resistor change by factor of 4.

The stream of positive charges which flow from the positive terminal to the negative terminal of the battery attached in a circuit.

Power dissipated through a resistor is related to current as

P  =I²R

When the current is doubled, the new power will be

P' = (2I)²R

P' = 4 I²R

P' = 4P

Thus, the power change by the factor of 4.

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Answer:

35

Explanation:

total magnification = eyepiece lens x objective lens

TM = 10X x 25X

TM = 250X

The electric force on the charges will be equal and opposite in nature and the magnitude will be 8.5536 × 10⁻¹³ Newton.

Formula for electrostatic force is F = ( K q1 q2 )/ r²

where q1 and q2 represent the charges and r represents the distance between them and the value of K is 9 × 10⁹.

In question we have given

value of q1 = 5.4 x 10⁻⁷ C

value of q2 = 1.1 x 10⁻¹⁷ C

distance between the (r) = 0.25 m

Applying the formula

F = ( K x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 10⁹ ) x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 5.4 × 1.1) × ( 10⁹ × 10⁻⁷ x 10⁻¹⁷) )/ ( 6.25 × 10⁻² )

F = ( 53.46 × 10⁻¹⁵) / ( 6.25 × 10⁻² )

F = 8.5536 × 10⁻¹³ Newton

Electrostatic force = 8.5536 × 10⁻¹³ Newton

So, The point charges are possessing equal and opposite electrostatic force of magnitude 8.5536 × 10⁻¹³ Newton.

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The bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.

A bronchus is a tubular structure that links the trachea with the lungs in the respiratory airways.

The main function of the bronchus is to transport oxygen during gas exchange, which is required in cellular respiration.

In conclusion, the bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.

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From the calculations, the mass of the pole is 82 Kg.

The term potential energy has to do with the energy that is possessed  by a body by virtue of its position.

Given that;

height = 6.15 m

PE = 4942 J

mass = ??

g = 9.8 m/s^2

Now

PE = mgh

m = PE/gh

m =  4942 J/9.8 m/s^2 * 6.15 m

m = 82 Kg

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The disadvantage of using geothermal energy is  "It can cause air and groundwater pollution." The correct option is D.

Geothermal energy is a type of renewable energy that comes from the heat within the Earth's core.

The Earth's core is extremely hot, and this heat energy can be harnessed and used to generate electricity. Geothermal energy is often found in areas where the Earth's crust is thin or where there are active volcanoes and geysers.

There are two main types of geothermal energy: direct use and electricity generation.

Direct use involves using geothermal heat directly for heating buildings, greenhouses, or industrial processes such as drying crops or pasteurizing milk. Electricity generation involves using geothermal heat to generate electricity, typically by pumping water into underground reservoirs to create steam that drives turbines connected to generators.

Geothermal energy is considered a renewable energy source because the heat within the Earth's core is continually replenished by radioactive decay. Additionally, geothermal energy is a relatively clean energy source, producing fewer greenhouse gas emissions than fossil fuels.

Here in the question,

Although geothermal energy has many advantages, such as being renewable and reducing greenhouse gas emissions, one of the main disadvantages is that it can cause air and groundwater pollution.

This is because geothermal power plants often release gases and fluids from underground reservoirs that can contain pollutants such as hydrogen sulfide, ammonia, and boron. Additionally, the drilling process used to extract geothermal energy can also release pollutants into the air and water. However, with proper management and regulation, these negative impacts can be minimized.

Therefore, Option D  is correct i.e It can cause air and groundwater pollution is a disadvantage of using geothermal energy.

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The moon's orbital plane is different from that of the earth's orbit around the sun due to which lunar and solar eclipses do not occur every month.

When the moon passes in front of Earth and the sun, it creates a solar eclipse and casts a shadow across the globe.

Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.

Due to the moon's orbit being five degrees off-center from Earth's orbit around the Sun, lunar eclipses do not happen every month and the Moon often passes above or below the shadow.

Lunar eclipses would happen every month if there were no tilt. Eclipses of the sun and the moon happen equally often.

Hence lunar and solar eclipses aren't coming every month.

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The reason why lunar and solar eclipses do not occur every month is because; the plane of orbit of the moon around the earth is not same as that of earth around the sun.

When the Moon passes between Earth and the Sun, there's solar eclipse while when the earth passes between the Sun and the Moon, casting a shadow on the Moon, there's lunar eclipse.

Hence, because the plane of orbit of the moon around the earth is not same as that of earth around the sun, we do not have lunar and solar eclipses every month.

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The energy input would it take to climb a ladder will be 20000 J.

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.

Mechanical advantage is a measure of how much a machine multiplies the input force.

The complete question is;

"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"

The formula for the efficiency is;

[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]

Hence, the energy input would it take to climb a ladder will be 20000 J.

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Answer:

1.76 seconds/cycle

Explanation:

Frequency is   10 cycles / 17.6 seconds

PERIOD is  1/frequency = 17.6 seconds/10 cycles = 1.76 s/c    

          cycle is a vibration , so the unit may be  1.76 second / vibration

Since the slowest instruction in the SCA executes in 12.5 ns, the maximum system clock frequency is 80 MHz

To answer the question, we need to know what frequency is.

Frequency is the number of oscillations per second of a wave.

It is given by f = 1/T where T = period of wave

Now, given that the slowest instruction in the SCA executes in t = 12.5 ns, we need to calculate maximum system clock frequency, f.

So, f = 1/t

= 1/12.5 ns

= 1/(12.5 × 10⁻⁹ s)

= 1/12.5 × 10⁹ Hz

= 0.08 × 10⁹ Hz

= 80 × 10⁻³ × 10⁹ Hz

= 80 × 10⁶ Hz

= 80 MHz

So, the maximum system clock frequency is 80 MHz

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Answer: See below

Explanation:

a) Using Newton's 2nd Law, rearranging and solving for acceleration

[tex]a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}[/tex]

b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:

[tex]v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}[/tex]

c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:

[tex]s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}[/tex]

Answer:

The efficiency of a simple machine is defined as the ratio of useful work done by a machine (output work) to the total work put into the machine (input work). For ideal or perfect machine, work output is equal to the work input.

Explanation:

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Gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.

The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.

Length of hanging part, L/4

The gravitational potential energy is;

Work = Gravitational potential energy

Work done =force×displacement

[tex]\rm W = \frac{Mg}{3} \times \frac{L}{8} \\\\ W = \frac{MgL}{24}[/tex]

Hence, gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.

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The relative ages of the moon's maria and highlands can be determined through the following:

This is referred to as the early geologic units of the moon which arose from asteroid impact and subsequent volcanic activity.

The ages can be measured using techniques such as radioactive dating and crater density.

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Answer:

- elastic energy of rubber straps → KE of capsule 

- KE → GPE as capsule

Explanation:

Answer:

18 groups are in the modern periodic table

Answer:

There's 18 groups I'm pretty sure

If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.

Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.

All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.

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If both objects reach the same height, the ratio of their velocities Va and Vb is 3:1. The correct option is A.

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects reach the same height.

The maximum height of the objects A and B are same, so

H = Va² sin²30 / 2g =  Vb² sin²60 / 2g

Va²/Vb² = sin²60/ sin²30

Va/Vb = 3:1

Thus, the correct option is A.

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Answer:

V initial = 29.4 m.s²

Explanation:

( Using the laws of motion)

V final = V initial + Acceleration × time

0 = V initial + ( -9.8)(3)

29.4 = V initial

* I took upward as positive that's why I substituted -9.8 *

* for V final we know that at maximum height the ball is not moving thats why is = 0 *

Answer:

Star Formation

Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.

hy XD ~

Answer: I believe his brother, Mike, who is 6'2, will have the longer shadow.

The force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.

Force is defined as the product of mass and acceleration of an object.

Friction is defined as the force that resists the movement of an object over another.

Therefore, the force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.

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It is a true statement that cancer and diabetes are two common hereditary diseases.

The term hereditary diseases are those diseases that occur in parents and could also be found in their offspring. For many of these hereditary diseases, the mechanism of inheritance is unclear.

However, it is a true statement that cancer and diabetes are two common hereditary diseases.

Missing parts:

Cancer and diabetes are two common hereditary diseases. A. True B. False.

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Explanation:

The correct is (c). cuz, the tail of A and the tip of B will join

Answer:

The absorption lines will shift to the red (become longer).

This is because of the extra distance that a wavelength λ must travel between the vibrations of the source producing the spectrum.

Note that the Doppler effect of the source is slightly different for light waves than it is for sound waves because sound waves require a medium in which to travel while light waves do not require such a medium (example air).

Answer:

Joy has a greater acceleration.

Explanation:

Mike

v = v₀ + at

10 = 0 + 4a

a = 2.5 m/s²

Joy

v = v₀ + at

15 = 0 + 5a

a = 3 m/s²

--

Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².