3. An electron moves along the trajectory from i to f as shown.
a) Does the electric potential energy increase, decrease or stay the same? Explain.
b) Is the electron's speed at f greater than, less than or equal to its speed at i? Explain.

The value of x is 0.04m and restoring force is 9 N

(a) From the figure, the spring force balances force due to gravity.

    So, [tex]\frac{1}{2} kX^{2} = mg[/tex]

    Where, k = spring constant = 50N/m

                 X = compressed distance = L+x = 0.1+x

                 m = mass = 50 g = 0.05Kg

                 g = acceleration due to gravity = 10

Putting these values in above equation, we get: x= 0.04m

(b) Using Hooke's law, F = kx

     Where, k = spring constant =50N/m

                  x = distance = 180mm = 0.18 m

    Putting these values in above equation, we get restoring force F = 9N

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(a) The magnitude of the car's normal force is 7,792.2 N.

(b) The mass of the car is 795.1 kg.

The weight of the car is calculated by applying Newton's second law of motion as shown below.

Mathematically, the formula for Newton's second law of motion is given as;

Ff = μW

where;

The weight of the car is calculated as follows;

W = Ff / μ

W = ( 6,000 N ) / ( 0.77 )

W = 7,792.2 N

Based on Newton's third law of motion, the weight of the car acting downwards is equal to normal force on the car, acting upward.

The mass of the car is calculated as follows;

W = mg

where;

m = W / g

m = ( 7792.2 ) / (9.8)

m = 795.1 kg

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If force is doubled, acceleration will also be doubled.

In this given question, force is doubled. We know that force is directly proportional to acceleration. As we increase the force on an object the acceleration increases proportionally. Therefore, if you double the force you double the acceleration.

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Answer:

The opposition offered by the conductor to the current flowing through it is known as resistance.

we know,

Resistance is directly proportional to the length of the conductor.Hence,the resistance offered by the long wire will be more than that of the short wire.

Also, Resistance is inversely proportional to the area of cross section of conductor.So,The Resistance in the thick wire will be less than that of the thin wire.

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The acceleration of the snowboarder is 0.466 m/s².

Acceleration is the rate of change of velocity.

To calculate the acceleration of the snowboarder, we use the formula below.

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1

Hence, the acceleration is 0.466 m/s².

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When a cold piece of metal is placed in hot water, heat will flow from the water to the metal.

The correct option is D.

The molecules in a cup of hot water differ from the molecules in a cup of cold water in that, in the hot water, the molecules are moving faster than in the cold water.

The correct option is B.

Heat energy is a type of energy that is transmitted between systems or objects with various temperatures. Heat energy is also known as thermal energy.

The direction of the flow of heat energy is from the high-temperature system to the low-temperature system.

For example, heat energy will flow from hot water to a cold piece of metal; placed inside it.

The molecules of a hotter body have more kinetic energy than the molecules of a colder body.

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Answer:

24.4

Explanation:

you would add all the numbers , 25.5+24.4+24.2= 73.1/3=24.36 and you round up you get 24.4

To solve this we must be knowing each and every concept related to interval. Therefore, values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s can be listed as below.

An interval is any set of numbers that fall between two distinct integers. This range includes all real values that fall between those two. All real numbers that lie in any 2 of a set's numbers are collectively referred to as an interval within mathematics.

For instance, the set of integers x fulfilling 0 x 1 is the interval consisting of 0, 1, and all numbers in between. a snapshot graph of wave on a string moving toward one another at 1 m/s at time t = 0 s.

At time t = 0,Y₀= 0 cm

At At time t =1, Y₁= 0 cm

At time t = 2, Y₂= 0 cm

At time t =3, Y₃= 0 cm

At time t =4, Y₄= 0 cm

At time t = 5 ,Y₅=0 cm

At time t = 6, Y₆= 0 cm

Therefore, values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s can be listed as above.

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The minimum force needed to move the whale along a horizontal ramp, given that the whale has a mass of 1.90×10⁵ Kg is 856520 N

We'll begin by listing out the given parameters from the question. This is shown below:

To obtain the force needed to move the whale, we shall first obtain the normal reaction. This is shown below:

N = mg

N = 1.90×10⁵ × 9.8

N = 1862000 N

Finally, we shall determine the force needed. Details below:

F = μN

F = μN

F = 0.460 × 1862000

F = 856520 N

Thus, we can conclude that the force needed is 856520 N

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Altitude and Air

but mainly altitude, Air is just depending on the situation.

Air does not always influence an object's fall, but Altitude always influences it.

The boy weighs at about 80 kg. When, as illustrated, a N 784 guy balances the youngster on a teeter-totter.

A way to determine how much material, in mass, makes up a physical body.

In classical mechanics, an object's mass is essential to Newton's equations of motion because it affects the force required to accelerate it and, subsequently, how much inertia it has.

Language expert Peter Trudgill claims that the name "Tittermatorter" from the Norfolk language is its origin. Trudgill can trace all of his great-great-grandparents to a tiny region of eastern Norfolk.

As per the question:

Weight is come under gravity and become force

80g = mg

m = 80

Force = 80(9.8) = 784N

Thus, the answer is 784N.

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Answer:

Yup

Explanation:

Answer:

The mass is the amount of matter in something. Weight is mass times gravitational field strength and so also includes gravity. Mass is measured in grams (g) and weight is measured in Newtons (N)

A horizontal force of 10.0 N is acting on a 10 kg box that is sliding to the right along the floor with velocity v.

Most people make the common assumptions of rigid body action and ignoring air resistance and friction. In statics, all forces and moments must balance to zero; if they don't, the body is accelerating and the laws of statics do not apply, according to the physical interpretation.

The specific situation and the presumptions used will determine how many forces and moments are displayed. Most people make the common assumptions of rigid body action and ignoring air resistance and friction.

In statics, all forces and moments must balance to zero; if they don't, the body is accelerating and the laws of statics do not apply, according to the physical interpretation. The resultant forces and moments in dynamics can have non-zero values.

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The things would which would be needed to survive the mesosphere include the following below:

This is refereed to as the third layer of the atmosphere which is present above the stratosphere and directly below the thermosphere.

It has a low density of gas and water vapor present in the area which is why it is no place for human life as there is a shortage of oxygen and other gases needed for some biochemical reactions in the ecosystem. This is therefore the reason why things such as food, water and oxygen supply is neeeded tio survive in the mesosphere.

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Based on the data provided about the collision;

The magnitude of the impulse due to the collision of the vehicle with the wall is calculated using the formula of the impulse on an object given below as follows:

Impulse = change in momentum

Change in momentum = m(v - u)

where;

m is mass

v is the final velocity

u is the initial velocity

Impulse = 1759 (12 - 22)

Impulse = 21105.8 kg.m/s

The average force on the automobile will be:

Force = impulse/time

Force = 21105.8 / 0.11

Force = 191870.91 N

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Answer:

58.7g  (answer might differ a little if the answer treats g as 10 instead of 9.81ms-2)

Explanation:

First, apply the formula Energy = Power x Time

Power -> 480W (given)

Time -> 12 seconds  (given)

Hence,

Energy = (480 x 12) J  (SI units of energy is in Joules, J)

            = 5760 J

Since Sarita lifts up the mass, the energy we have calculated above is gravitational potential energy.

That means 5760 J of gravitational potential energy.

Recall that another formula for gravitational potential energy (GPE) is

GPE = mgh (where h is the height lifted, mass is the mass and g is the gravitational constant of 9.81ms-2)

h = 10 metres (given)

Therefore,

5760 = m x 9.81 x 10  

98.1m = 5760

m = 58.71559g

Hence, mass lifted is 58.7g (in 3sf)

Answer:

Object 1

Explanation:

Newton's 2nd Law:  F = ma, therefore m = F/a

This shows that mass is inversely proportional to acceleration.  Because the resultant force (F) is held constant in this problem, the lower the acceleration, the greater the mass.  Therefore, the object that accelerates at 2 m/s² has the greater mass.  In other words, if the net force on both objects is the same, the object with the slower acceleration has the greater mass.  

The force needed to accelerate the mass of 100 kg is 500 N.

Force is the product of mass and acceleration. The S.I unit of force is Newton (N).

To calculate the amount of force needed to accelerate the mass of 100 kg, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force is 500 N.

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Answer:

drops

Explanation:

Ohm's Law states that V=I*R, where V is voltage, I is current and R is resistance. In a series circuit, the voltage drop across each resistor will be directly proportional to the size of the resistor. In a parallel circuit, the voltage drop across each resistor will be the same as the power source

The force of gravity is 103.73N and the parallel component of gravity is 40.45N along with the perpendicular component is 95.43N.

The gravitational force, which pulls mass-containing objects in the same direction, is the force of gravity. The force of gravity from Earth is something we consider frequently. Your body is held firmly in place by this force. However, every mass-bearing object pulls everything else with mass toward it through gravity.

The force of gravity F = ma

F = 4.51×23

F = 103.73N

F parallel component = F sinθ

F parallel = 103.73 sin 23°

F parallel = 103.73 × 0.390

F parallel = 40.45N

F perpendicular component =  F cosθ

F perpendicular = 103.73 × cos 23°

F perpendicular = 103.73 × 0.920

F perpendicular = 95.43N.

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The correct answer is D) convection current.

Convection currents are the cycle of warm air rising and cool air sinking that occurs in Earth's atmosphere (as well as in other fluids) as a result of temperature differences. When a fluid (such as air) is heated, it expands and becomes less dense, causing it to rise. When the warmer fluid cools, it contracts and becomes denser, causing it to sink. This cycle of rising and sinking creates a circular flow known as a convection current.

The full load primary current of a 230/115V, 2kVA transformer can be calculated using the formula:

I_primary = (2kVA * 1000 VA/kVA) / (230V)

I_primary = 8.7V

The full load secondary current of the transformer can be calculated using the formula:

I_secondary = (2kVA * 1000 VA/kVA) / (115V)

I_secondary = 17.4V

Therefore, the full-load primary current of the transformer is approximately 8.7V, and the full-load secondary current is approximately 17.4V. It is important to note that these values are based on the assumption that the transformer is operating at its full load capacity. If the transformer is operating at a lower load, the primary and secondary currents will be correspondingly lower.

Beta decay is seen in the nuclear reaction: ⁹⁰₃₉Y → ⁹⁰₄₀Zr + ⁰₋₁e. Hence, option (A) is correct.

A proton can change into a neutron or vice versa inside the radioactive sample's nucleus through a process known as beta decay.

The radioactive sample's nucleus can approach the ideal neutron/proton ratio as closely as feasible through processes like beta decay and alpha decay. The nucleus releases a beta particle during this process, which can either be an electron or a positron.

As electron releases here, it is a Beta (β) decay.

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Important Formulas:
[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]m=42kg[/tex]

[tex]F=180N[/tex]

[tex]w=2500J[/tex]

[tex]d=?[/tex]

__________________________________________________________

Rearranging work formula to make distance the subject:

[tex]w=Fd[/tex]

[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]

[tex]d=\dfrac{w}{F}[/tex]

__________________________________________________________

Finding distance:

[tex]d=\dfrac{w}{F}[/tex]

[tex]d=\dfrac{2500}{180}[/tex]

__________________________________________________________

[tex]\fbox{d = 13.89 meters}[/tex]

The law of motion that accounts for an apple accelerating as it falls from a tree is the law of gravity, specifically Newton's Second Law of Motion.

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of an apple falling from a tree, the net force acting on it is the gravitational force pulling it toward the Earth. The acceleration of the apple is therefore determined by the strength of this gravitational force and the mass of the apple.

As the apple falls from the tree, it accelerates toward the ground due to the gravitational force acting on it. The faster the apple falls, the greater its acceleration. This acceleration is commonly referred to as acceleration due to gravity, which is a constant value of 9.81 m/s^2 near the surface of the Earth.

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Accelerating linearly is simple.

When the velocity vector length of an object moving in a straight line changes in response to changes in the object's speed (speed being the magnitude of the velocity vector), we have acceleration. Increasing speed is frequently referred to as "positive acceleration" and decreasing speed as "negative acceleration."

A particle's acceleration is the rate at which its velocity changes over time. The term "constant acceleration" refers to the pace at which a particle's velocity changes.

We shall measure acceleration in metres per second per second because our basic units are metres and seconds.

Therefore, Accelerating linearly is simple.

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The number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

Electrons are particles of matter that carry a negative electrical charge. Electrons are the smallest particles in the atom and are responsible for most of the atom's mass. Electrons orbit around the nucleus of the atom and are held together by the electromagnetic force. Electrons have a property called spin, which can have a value of either +1/2 or -1/2. Electrons are found in all elements and are important in chemical reactions as they are able to move around and form bonds with other atoms. Electrons are also important in electricity and magnetism.

The number of excess electrons on the balloon is equal to the charge of the balloon divided by the charge of an electron. Since the charge of an electron is 1.60 x 10-19 Coulombs, the number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

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