The force on a particle of mass 2.0 kg varies with position according to F(x) =−3.0x^2 (x in meters, F(x) in newtons). The particle’s velocity at =2.0m is 5.0 m/s. Calculate the mechanical energy of the particle using (a) the origin as the reference point and (b) =4.0m as the reference point. (c) Find the particle’s velocity at =1.0m. Do this part of the problem for each reference point.

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: 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:

Answer:

Below

Explanation:

Remember:

F = m a    

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

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 statement indicating that the specific heat of a gas can be measured at constant pressure is accurate when discussing specific heat (Option B).

The specific heat of a gas is a measurement that makes reference to the relative molecular position of the molecules in a substance in the gas state, which is a state of matter where particles are more separated in space when compared with liquid and solid states.

Moreover, specific heat can be defined as the amount of heat energy that may be able to increase the temperature of 1 gr (gram) of a given material to 1 Celssius degree.

Therefore, with this data, we can see that the specific heat of a gas depends on the temperature and it expresses a given amount of heat energy in a substance or material.

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Answer:

The answer is C inertia

Explanation:

This action is a result of the disks.

Answer:

D: Cambium

Explanation:

The Answer is cambium

Answer:

706 m

Explanation:

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

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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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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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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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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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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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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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:

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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1. a. Frequency of the wave is equal to 2 cycles per second.

Wavelength of the wave is equal to 1.5 m.

2.a. The frequency of the wave is 3 cycles per second.

b, It is a longitudinal wave of wavelength is equal to 40 cm.

An energy disturbance in a medium without net particle mobility is referred to as a wave. Among the probable manifestations are elastic deformation, pressure changes, variations in electric or magnetic intensity, electric potential, and temperature changes.

From picture 1.

1. a. frequency  of the wave is = 2 cycles per second.

Wavelength of the wave is = 3 m/2 =1.5 m.

From picture 2.

2.a. As it moves forward and backward 3 times in very second, frequency of it is given by  3 cycles per second.

b, It is a longitudinal wave of wavelength is 40 cm.

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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

Radio waves and microwaves have A.)low frequency and long wavelength.

Microwaves are classified as radio waves, but they have higher frequencies than other radio waves. And so with higher frequencies, they also have more energy. That's is the reason, microwaves are useful for heating food in microwave ovens.

Microwaves have a long wavelength, but not as long as radio waves. The  atmosphere of earth is transparent to some wavelengths of microwave radiation. The longer wavelengths pass through the atmosphere of earth more easily than the shorter wavelength microwaves.

Radio waves have photons with the low energies and microwaves have more energy as compared to radio waves.

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[tex]{ \red{ \underline{ \green{ \sf{solenoid}}}}}[/tex]

Solenoid is a coil of circular turns made up of insulated copper wire wrapped closely in the cylindrical form

solenoid is formed by circular turns of copper wire in cylinder form

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:

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

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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13.23 joule is gravitational potential energy of the mass when the clock is wound.​

potential energy, p = mgh

m= 0.750 kg

h= 1.80 m

g=9.8 m/s²

p = mgh

p=0.750×1.80 m×9.8 m/s²

p=13.23 joule

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has greater potential energy as they get further apart.

Potential energy develops in systems having components whose configurations, or relative positions, determine the amount of the forces they apply to one another.

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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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(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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Range and Maximum height are proportional to the square of the initial velocity.

In projectile motion, Range of the particle is the horizontal distance travelled by the projectile between launch and the landing points and is denoted as R,

R = u^2sin2θ/g

Here u is initial velocity.

Maximum height is the maximum height from the point of projection, a projectile can reach.

And at maximum height (h) attained, velocity of the object is zero (v=0)

we can use , v^2 - (u sinθ)^2= 2ah     (acceleration due to gravity is a= -g)

Or 0 -  (u sinθ)^2 = 2(-g)h

⇒ h = u^2 sin^2 θ / 2g

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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