A rubber band (in the form of a loop) is to be launched horizontally from a height of 1.0m. During the first launch, the rubber band is stretched 2.0 cm and the rubber band lands at a horizontal distance of 3.5 m from the point of launch. For the second launch the rubber band is stretched 4.0 cm. How far does it travel horizontally this time? If the same rubber band were to be stretched 4.0 cm, but aimed vertically, how high does it go?

Answer:

Below

Explanation:

Remember:

F = m a    

F/m = a    =  120 / 360 =  1/3   m/s^2

The quantity of useful energy which this machine would generate in 10 minutes is equal to: B. 24 kJ.

Mathematically, energy efficiency can be calculated by using this formula:

Energy efficiency = WO/WI × 100

Where:

For the output energy, we have:

20 = WO/200 × 100

4000 = 100WO

Output energy, WO = 4000/100

Output energy, WO = 40 joules/second.

Note: A minute is equal to 60 seconds.

In 10 minutes, the time is given by:

10 minutes = 10 × 60

10 minutes = 600 seconds.

Now, we can determine the useful energy generated by this machine:

Useful energy = 40 joules/second × 60 seconds

Useful energy = 24,000 Joules or 24 Kilojoules (24 kJ).

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Answer:

The answer is C inertia

Explanation:

This action is a result of the disks.

If the hamster does this work in 2 seconds, its power is equal to 0.25 Watt or Joule per second.

The work done (W) by an object can be calculated by multiplying the force acting on it by the perpendicular distance covered by the physical object. This ultimately implies that, work done (W) and energy (E) have the same unit i.e Joules (J).

Mathematically, the work done (W) by an object can be calculated by using the following formulas:

Work done (W) = force × distance   ..................equation 1.

Work done = power × time            ..................equation 2.

Making power the subject of formula in equation 2, we have:

Power = (Work done)/time

Note: The time is measure in seconds.

Substituting the given parameters into the formula, we have;

Power = (0.50 Joules)/2

Power = 0.25 Watt or Joule per second.

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According to the law of conservation of energy, statement which is true about conservation of energy is that the total energy is always conserved.

According to law of conservation of energy, it is evident that energy is neither created nor destroyed rather it is restored at the end of a chemical reaction .

Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.

Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Mayer in the year 1842.

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Answer: Dispersion of visible light produces the colors red (R), orange (O), yellow (Y), green (G), blue (B), and violet (V). It is because of this that visible light is sometimes referred to as ROY G. BIV.

Explanation:

The astronomy of the star and the parameters of the star in terms of solar units are;

Radius of the star ≈ 5.03 [tex]R_{Sun}[/tex]

Temperature of the star ≈ 0.92 [tex]T_{Sun}[/tex]

Luminosity of the star ≈ 18 [tex]L_{sun}[/tex]

The astronomical system of units are a special class of units designed for astronomy.

First part;

One solar radius is specified as [tex]R_{Sun}[/tex] = 6.9551 × 10⁵ km

The radius of the star = 3.50 × 10⁶ km

The radius of the star in units of the solar radius is therefore;

Second part;

One unit of the solar temperature, [tex]T_{Sun}[/tex] = 5777 K

The temperature of the star = 5305 K

The stars temperature in units of the solar temperature, is therefore;

Temperature = 5305 K/(5777 K) ≈ 0.92

Third part;

The function for the luminosity of a star, L, is; L = 4·π·R²·σ·T⁴

The luminosity of the star = 4 × π × (3.50 × 10⁶)² × σ × 5305⁴

The luminosity of the Sun = 4 × π × (6.9551 × 10⁵)² × σ × 5777⁴

The solar luminosity of the star = (4 × π × (3.50 × 10⁶)² × σ × 5305⁴) ÷ (4 × π × (6.9551 × 10⁵)² × σ × 5777⁴) ≈ 18

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Answer: 37.8 N

Explanation:

F = ma (Newton's 2nd Law)

Force = mass x acceleration

F = (12.6 kg)(3 m/s2) = 37.8 N

Answer:

3 m/s

Explanation:

The slope of a velocity-time graph will give the acceleration for the object over the given interval.

Finding the slope:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1} = \frac{60 - 15}{20 - 5} = \frac{45}{15} = 3\\[/tex]

The acceleration A would be 3 m/s

Answer:1568 meters

Explanation:

we will make a speed time graph and we will calculate the speed by multiplying acceleration with time and we will have the speed then we will draw it on the speed time graph this will make a triangle and we will calculate its area and we will have the distance.

Answer:

Explanation:

9a)  Velocity North

30 m/s  * Sine(60) = 25.98076..  m/s

9b) Distance North

25.98076 m/s * (3 hour)  but we need hours in seconds b/c that's our velocity units

25.98076 m/s * 10800 s = 280,592.23 m

9c) Velocity East

30 m/s * Cosine(60) = 15 m/s

9d) Distance East

15 m/s * (3 hours)

15 m/s * 10800 s = 162,000 m

9e) Total displacement ( total distance  also known as  magnitude)

Total Distance = [tex]\sqrt{(Distant North)^{2} + (Distant East)^{2} }[/tex]

TD = [tex]\sqrt{280592.23^{2} + 162000^{2} }[/tex]

TD = 323999.99 m

let's round it to  324,000 m

324 Km

(a) The work done by the force on the block is 9.99 J.

(b) The work done by gravity on the block is 29.4 J.

(c) The magnitude of the normal force between the block and the wall is 9.8 N.

The work done by the applied force on the block is calculated as follows;

W = Fd cosθ

where;

F - μmg = ma

since the block is moving as constant velocity, acceleration = 0

Fcosθ - μmg = 0

F = μmg/cosθ

W = μmgd/cosθ

W = 0.3 x 1 x 9.8 x 3 / cos(28)

W = 9.99 (J)

The work done by gravity on the block is calculated as follows;

W = mg d cosθ

where;

W = 1 x 9.8 x 3 x cos(0)

W = 29.4 J

The magnitude of the normal force between the block and the wall is calculated as;

Fn = mg

Fn = 1 x 9.8

Fn = 9.8 N

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Answer:

b

Explanation:

Because the 20kg block has a higher mass it takes more force to move it. Following Newton's first law. An object at rest wants to stay at rest and one moving wants to keep moving. Considering there's more atoms in the higher kilogram block than the smaller one more atoms would want to stay at rest therefore experience more inertia and accelerate slower.

Answer:

Explanation:

A motionless object can have energy. The energy that the object has is called potential energy.

Energies it does not have may consist of kinetic energy, gravitational potential energy, elastic potential energy, and chemical potential energy

The plane has a 210km displacement value.

The ideal answer is B.

A plane flies straight after takeoff and ends up 190 km to the east and 800.0 km to the north of where it started.

We should use Pythagoras' Theorem to solve this problem.

Distance 2 is calculated as 190^2 + 80^ = 210 km.

which, when rounded, is equivalent to 210 kilometers.

190^2 + 80.0^2 = 45000

√45000

210KM

The displacement of the plane is 210 kilometers.

An object's positional change is referred to as "displacement." It possesses a magnitude and direction as a vector quantity. It is represented by an arrow that leads from the starting point to the destination. An object's position changes, for example, if it moves from position A to position B.

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When a head collides with an airbag in a collision, the head's initial velocity and its final velocity are measured.

In economics, a power is defined as the pull or draw that modifies an object's velocity. Ingredients that might affect a person's sense of personal work or sleepiness are invisible to the human eye. Its dimensions and form are distinctive.

In daily life, there are many instances of forces, including: weight and force (i.e. the weight of something) the pressure a bat puts on a ball. the amount of force used to brush hair using a brush. the force used by your foot to press the pedal.

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8. The frequency of the weight suspended from a spring.is 2Hz.

9. The period is 0.5 seconds.

10. The amplitude is 14cm

Frequency simply means the number of oscillation in a unit time. It is the rate at which something repeats itself in a second.

In this case, the spring bob up and down 2 times per second. Therefore, Frequency = 2 Hz

The period is the time taken to complete one oscillation. 2 oscillations takes 1 second

1 oscillation = 1/2 seconds.

Period = 0.5 seconds

Amplitude is the the maximum displacement of the spring. In this case the spring bob up 14 cm. This is it's displacement.

Amplitude = 14 cm

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Answer: A

Explanation:

Answer:

Let

T

be the tension of the cable and m

g

be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v

0

=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v

2

=v

0

2

+2ay leads to

a=−

2y

v

0

2

=−

2(−42m)

−12m/s

=1.71m/s

2

We now return to calculate the tension:

T=m(g+a)

=(1600kg)(9.8m/s

2

+171m/s

2

)

=1.8×10

4

N

Answer:

Explanation:

Given:

P = 1205.4 N

g = 9.8 m/s²

___________

m - ?

m = P / g

m = 1205.4 / 9.8 ≈ 123 kg

Answer:

D: Cambium

Explanation:

The Answer is cambium

Answer:

E10 Miniature Edison Screw (MES) Also called “Miniature Screw

The smaller light bulbs are the E5 Lilliput Edison Screw (LES).

What are the common light bulb base sizes ?

Today, there are many applications that make substantial use of light bulbs. Lighting bulb bases come in a wide variety.

Based on the letter-number references, you can tell what size light bulb base it is. In contrast to the number, which designates the base's breadth, the first letter indicates the base's shape or form.

Following are the most typical diameters for light bulb bases:

Standard-Medium, normal sized screw in base: E26 or E27

Candelabra, a smaller screw in base: E12

Intermediate: E17

Bi-pin, having pin-in base including two points of contact: G4 or GU24

Twist-And-Lock base: GU10

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The motorcycle of mass 250 kg traveling at 30 m/s will have the greater kinetic energy.

This is the kind of energy possessed by any body that is in motion. It is also known as the moving energy.

From the question,

the mass of the car = 500kg

velocity = 15m/s

Kinetic energy for the car is;

[tex]K = \frac{1}{2} mv^{2}[/tex]

K = 1/2 x 500 x 15 x 15

K = 56, 250J

the mass of the motorcycle = 250kg

velocity = 30m/s

Kinetic energy for the motorcycle is;

[tex]K = \frac{1}{2} mv^{2}[/tex]

K = 1/2 x 250 x 30 x 30

K = 112, 500J

In conclusion, from calculating for both, the kinetic energy possessed by the motorcycle is higher, that means it has more kinetic energy.

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166.6 kg  is the mass of the man

initial momentum=final momentum

m1v1=m2v2

1.5×100=0.9×m2

m2=166.6 kg

Mass is used in physics to express inertia, a fundamental characteristic of all matter. Essentially, it is a mass of matter's resistance to changing its direction or speed in response to the application of a force. The change that an applied force produces is smaller the more mass a body has. The kilogram, the unit of mass in the International System of Units, corresponds to 6.62607015 1034 joule seconds using Planck's constant (SI). One joule is produced by multiplying one kilogram by one square meter per second. The kilogram is determined by exact measurements of Planck's constant since the second and the meter have previously been defined in terms of other physical constants.

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The cost of running the window air conditioning for 14 days, given that the cost of electricity is 23.75 cents per kilowatt-hour, is $ 87.78

We'll begin by obtaing the energy consumed by the window air conditioning for 14 days. This can be obtained as follow:

E = Pt

E = 1.1 × 336

E = 369.6 KWh

Finally, we shall determine the cost of running the window air conditioning. This is shown below:

Cost = energy × Cost per KWh

Cost of running for 14 days = 369.6 × 0.2375

Cost of running for 14 days = $ 87.78

Thus, we can conclude that the cost of running for 14 days is $ 87.78

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We disagree with Eve's hypothesis that the cart full of groceries applies more force to the empty cart than the empty cart applies on the cart with groceries.

Mass of empty shopping cart = 20 Kg

Mass of cart full of groceries = 40 Kg

Newton's third law of motion states that each action has equal and opposite reaction. Thus, if empty cart exerts a force on the cart full of groceries, then the cart full of groceries should exert same amount of force on the empty cart when two customers accidently bump their carts. Hence, Eve's hypothesis is opposite to Newton's third law of motion.

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Answer:

706 m

Explanation:

Since distance is measured in meters (Standard Issued Units) the answer would be 706 m and not any other value.

Answer: Objects in space can have momentum space because momentum depends on mass and velocity. Unlike other quantities, like weight, mass does not change if an object is on space or on Earth.

Explanation: Because momentum depends on mass and velocity and unlike other quantities, like weight, mass does not change if an object is on space or on Earth.

The magnetic field protect life on Earth by directing the charged particles toward the poles and then past Earth.

The giant shield around Earth that protects all living things from dangerous charged particles from the sun is called as Earth's magnetosphere. It is generated by the motion of molten iron in Earth's core. It also provides the basis for navigation using a compass.

The magnetosphere shields the life on Earth from the constant bombardment by charged particles emitted from the sun which is called as solar wind.

Therefore, the magnetic field protects life on Earth by directing the charged particles toward the poles and then past Earth.

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The statement that best describes what astronomy and cosmology is the option B. That says that astronomy study objects of the universe and cosmology study the entire universe.

Astronomy is that science that will study the celestial bodies found in the universe such as stars, planets, asteroids, among others. He will study more specifically the components of the universe. While cosmology studies the universe as a whole and its origin, it will study theories such as the big bang theory.

Therefore, we can confirm that the statement that best describes the difference between astronomy and cosmology is that astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end. So the correct option is B.

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Answer:

option B.

Explanation: