In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table shows the relationship between the acceleration and the acting force.
Which phrase best describes a graph that would represent the relationship shown in the table?
O a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
B) a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
C) an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
D) an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis​

The speed ball when it reaches the bottom of the homemade ramp is 1.68 m/s.

The speed of the ball at the bottom of the ramp is determined by applying the principle of conservation of energy as follows;

total kinetic energy = total potential energy

rotational kinetic energy + translational kinetic energy = total potential energy

¹/₂Iω²  +  ¹/₂mv²   =  mgh

where;

¹/₂I(v/r)²  +  ¹/₂mv²   =  mgh

¹/₂Iv²/r²  +  ¹/₂mv²   =  mgh

I = ¹/₂mr²

¹/₂(¹/₂mr²)v²/r²  +  ¹/₂mv²   =  mgh

¹/₄mv² + ¹/₂mv² = mgh

¹/₄v² + ¹/₂v² = gh

v² + 2v² = 4gh

3v² = 4gh

v² = 4gh/3

v = √(4gh/3)

where;

v = √(4 x 9.8 x 0.215/3)

v = 1.68 m/s

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Answer: 14.41*10^2 m/s

Explanation:

let, V be the escape velocity of the moon.

M be the mass of the earth.

r be the distance between the moon and the earth.

G be the universal gravitational constant.

And G = 6.67428*10^-11 m^3kg^-1 s^-2

here, given in the question that

The earth has a mass of 5.98*10^24 kg.

so, M = 5.98*10^24 kg.

And the distance from the earth to the moon is 3.84*10^8 m.

so, r = 3.84*10^8 m.

now, we know,

V = √2GM/r

V = √(2 * 6.67428*10^-11* 5.98 * 10^24 )/ 3.84*10^8

V = √79.82*10^13/3.84*10^8

V = √20.78*10^5

V = 14.41*10^2 m/s

The net force on the electron is F = 1X10-13 N.

The mass of the electron is m = 1X10-30 kg.

The distance covered by an electron is S = 10 cm.

The acceleration of an electron can be calculated as:

F = ma

a = F/m

Substitute the values in the above expression.

[tex]a = (\frac{1 * 10^{-13}N }{1* 10^{-30kg} } ) \\[/tex]

a = [tex]1*[/tex][tex]10^{-17} m/s^{2}[/tex]

Thus. the acceleration of the electron is. [tex]a = 1*10^{-17} m/s^{2}[/tex]

The expression of time taken by the electron is given by,

S = ut + [tex]\frac{1}{2} at^{2}[/tex]

Here, u is the electron's initial velocity, whose value is zero because the electron is initially at rest.

Substitute the values in the above expression.

(10cm x 1m/100cm) = 0 x t + 1/2 x (1 x [tex]10^{17}[/tex] m/s²) x t²

(0.1m) x 2 = (1 x [tex]10^{17}[/tex] m/s²)x t²

[tex]t = \sqrt{\frac{0.2m}{(1*10^{17} m/s^{2} )} }[/tex]

t = 1.414 x [tex]10^{-9}[/tex]s

Thus, the time taken by the electrons to be accelerated from rest is t = 1.414 x [tex]10^{-9}[/tex]s

Electrons are accelerated from rest by a potential difference of V volts. The speed of individual electrons in metal wires is typically millions of kilometers per hour. In contrast, drift velocities are typically only a few meters per hour, while signal velocities are 100 million to 1 billion kilometers per hour.

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Answer:

the gravitational attraction of each ball, so technically the others too lol

The force exerted on the body is 12.66 N.

Linear momentum, translational momentum, or clearly momentum is the made of the mass and velocity of an item. it's miles a vector amount, possessing significance and a path. If m is an object's mass and v is its speed.

Given;

mass = 2 kg

height = 8m

bounce height = 2 m

let velocity just before striking the floor is initial velocity 12.65 m/s

the potential energy at 8 m = mgh

                                        = 2 ×10× 8

                                        = 160 J

same converted into kinetic energy 160 J = 1/2 mv²

                                                               V² = 320/2

                                                                v = 12.65 m/s

Final velocity

mgh = 1/2 mv²

2×10×2 = 1/2×2 × v²

v² = 6.32 m/s

Acceleration = change in velocity per unit of time

                      = - 6.32 - (-12.65)  = 6.33 m/s² / 0.1

Force = mass × acceleration

          = 2 ×  6.33 m/s²

           = 12.66 N

Momentum may be described as a mass in motion. All objects have mass; so if an object is transferring, then it has momentum - it has its mass in movement. the quantity of momentum that an item has depends upon variables: how an awful lot of stuff is moving and the way speedy the stuff is moving.

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When a car is at rest, it begins to accelerate at a pace of 8 Sec at 5 m/s It then continues moving at same speed for another lap after coming to rest in 4 seconds.

The maximum velocity attained by the car, the velocity would be 8m/s.

Initial velocity, u= 0m/s

Distance travelled in 8 sec would be

s= u ×t+ 1/2at²

= 1/2 ×5 ×(8)²

= 160m

Velocity after t= 4sec

= 2×4= 8m/s

Average velocity is defined as the change in position or displacement (x) divided by the time intervals (t) during which the change occurs. Based on the direction of the displacement, the average velocity might either be positive or negative. The unit of measure for average velocity in the SI is meters per second (m/s or ms-1).

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The simple conclusion I can make from the task given above is that all the objects in the universe possess constant acceleration under the influence of a free fall is actually due to gravity.

It has been practically proven that all objects or bodies; regardless of their masses have the same acceleration as long as they are under a free fall as a result of the Earth's gravitational force.

So therefore, it can now be deduced with understanding that all free falling objects have the same acceleration due to gravity.

Complete question:

What conclusion can you make on acceleration and free falling objects grade?

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Option D) 200 kg object at 2 m/s has the highest momentum.

What is momentum?

Momentum formula,                P = mv

p = momentum

m = mass \ velocity

The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilogram metre per second (kg m/s) is its SI counterpart.

A) 50 kg object at 5 m/s

m = 50 kg

v = 5 m/s

Momentum, p = m x v

                       = 50 x 5

                       = 250 kg m/s

B) 100 kg object at 10 m/s

m = 100 kg

v = 10 m/s

Momentum, p = m x v

                       = 100 x 10

                       = 1000 kg m/s

C) 150 g object at 5 m/s

m = 150 g

    = 0.15 kg

v = 5 m/s

Momentum, p = m x v

                       = 0.15 x 5

                       = 0.75 kg m/s

D) 200 kg object at 2 m/s

m = 200 kg

v = 2 m/s

Momentum, p = m x v

                       = 200 x 2

                       = 400 kg m/s

Hence, Option B has the highest momentum.

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The energy, E of the given waves are as follows:

a. Energy, E  = 6.63 * 10⁻²⁸ J

b. Energy, E  = 6.63 * 10⁻²⁴ J

c. Energy, E  = 1.99 * 10⁻¹⁶ J

d. Energy, E  = 4.97 * 10⁻¹⁹ J

e. Energy, E  = 2.84 * 10⁻¹⁹J

f. Energy, E = 1.99 * 10⁻¹⁶ J

The formula to calculate the energy of a wave s given below as follows:

where;

h is Planck's constant = 6.63 * 10⁻³⁴ Js

c is the velocity of light = 3.0 * 10⁸ m/s

λ is the wavelength of the light

The energies of the waves are calculated as follows:

a. λ = 3.0 x 10¹¹ nm or 3.0 * 10² m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10²

E = 6.63 * 10⁻²⁸ J

b. λ = 3.0 x 10⁷ nm or 3.0 x 10⁻² m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10⁻²

E = 6.63 * 10⁻²⁴ J

c. λ = 1 nm or 1.0 x 10⁻⁹ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m

E = 1.99 * 10⁻¹⁶ J

d. λ = 400 nm or 4.0 x 10⁻⁷ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 4.0 x 10⁻⁷ m

E = 4.97 * 10⁻¹⁹ J

e. λ = 700 nm or 7.0 x 10⁻⁷ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 7.0 x 10⁻⁷ m

E = 2.84 * 10⁻¹⁹J

f. λ = 1 nm or 1.0 x 10⁻⁹ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m

E = 1.99 * 10⁻¹⁶ J

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The motional EMF produced by the rod is 5.474 × 10⁻⁶ V.

When no current is flowing, electromotive force (EMF) equals the terminal potential difference.

Despite the fact that both EMF and terminal potential difference (V) are expressed in volts, they are not the same thing. EMF is the quantity of energy (E) that the battery supplies to each coulomb of charge (Q) that passes through.

Given parameters:

The earth’s magnetic field; B= 3.5 × 10⁻⁵ T

The length of the rod; l = 0.23 m.

Speed of the rod; v = 0.68 m/s.

So, the motional EMF produced by the rod = Blv

= 3.5 × 10⁻⁵ × 0.23 × 0.68

= 5.474 × 10⁻⁶ V.

Hence, motional EMF produced by the rod is 5.474 × 10⁻⁶ V.

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The acceleration of the SUV during crash as the crumple zone is collapsing is 0.0063 m/s².

Acceleration is the ratio of the force on a body to the mass of the body.

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

Formula:

Where:

Make a the susbject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the acceleration of the SUV is 0.0063 m/s².

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Jovian planets are less dense than terrestrial planets.

The Jovian planets lack solid surfaces, in contrast to the terrestrial planets that make up our inner solar system—Mercury, Venus, Earth, and Mars. They are made mostly of hydrogen and helium instead, with minute amounts of other gases like methane, ammonia, water, and others in their atmospheres.

Terrestrial planets formed from metal and rock-based planetesimals, but they were ultimately too small to hold much of the solar nebula's rich hydrogen and helium gas. The Jovian planets, on the other hand, originated distant from the Sun where there were abundant ices and rocks.

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The Maximum tangential speed the ball can have would be = 5.3m/s.

A tangential speed is defined as the speed of an object that has an angular velocity with respect to an instantaneous velocity.

The formula used to calculate the maximum tension;

T = mv²/r

Where T = Maximum tension = 132.3N

M = mass= 4kg

r = radius = 0.86m

V= tangential speed = x

Make v the subject of formula;

V = √Tr/m

V = √ 132.3 × 0.86/4

V = √113.778/4

V= √28.4445

V = 5.3 m/s.

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Complete question:

An athlete swings a 4.00 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.860 m at an angular speed of 0.660 rev/s. If the maximum tension the rope can withstand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?

It is important for the measurements that the track is level for rolling motion in physics because the rolling objects only move on the tract that is leveled correctly.

The rolling motion is a fusion of translational motion and rotational motion. For a body, the motion of the center of mass is the adaptation motion of the body. During the rolling motion of a body, the exterior contact gets disfigured a little temporarily. A combination of translational and rotational motions happens during the rolling motion of an object. To define rolling motion, we must recognize the forces like angular momentum and torque. It is a merger of two types of motion i.e. translational and rotational motion. The translational motion of a body is the movement of the whole body from one place to another.

So we can conclude that Rolling motion is that usual combination of encircling and translational motion that we see everywhere and every day.

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The work done by a 20-newton force applied at an angle of 45.0° is 565.69 J.

Calculation:-

Force = 20 N

distance = 40 meters

angle = cos 45°

Work done = F.d cosθ

                 = 20×40 × 1/√2

                 = 800 / √2

                =  565.69 J

Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.

The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.

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Answer:

Burn symptoms vary depending on the severity or degree of the burn. Symptoms are often worse during the first few hours or days after the burn. Burn symptoms include:

Blisters.

Pain.

Swelling.

White or charred (black) skin.

Peeling skin.

Explanation:

How are burns managed or treated?

Burn treatment varies depending on the cause and severity. You need to keep all burns clean and apply proper bandages/dressing depending on the severity of the wounds. Treating the person’s pain is key: inadequate control can interfere with wound care.

Continue to check wounds for signs of infection and other long term issues, such as scarring and tightening of the skin over joints and muscles, which makes them difficult to move.

Treatments by burn type include:

First-degree burns: Run cool water over the burn. Don’t apply ice. For sunburns, apply aloe vera gel. For thermal burns, apply antibiotic cream and cover lightly with gauze. You can also take over-the-counter pain medication.

Second-degree burns: Treatment for second and first-degree burns is similar. Your healthcare provider may prescribe a stronger antibiotic cream that contains silver, such as silver sulfadiazine, to kill bacteria. Elevating the burned area can reduce pain and swelling.

Third-degree burns: Third-degree burns can be life-threatening and often require skin grafts. Skin grafts replace damaged tissue with healthy skin from another of uninjured part of the person’s body. The area where the skin graft is taken from generally heals on its own. If the person does not have enough skin available for graft at the time of injury, a temporary source of graft can come from a deceased donor or a human-made (artificial) source but these will eventually need to be replaced by the person’s own skin. Treatment also includes extra fluids (usually given intravenously, with an IV) to keep blood pressure steady and prevent shock and dehydration.

Third-degree burns that are deep and affect a large portion of the skin are very serious and can be life-threatening. Even first- and second-degree burns can become infected and cause discolouration and scarring. First-degree burns don’t cause scarring.

Potential complications of third-degree burns include:

Arrhythmia, or heart rhythm disturbances, is caused by an electrical burn.

Dehydration.

Disfiguring scars and contractures.

Oedema (excess fluid and swelling in tissues).

Organ failure.

Pneumonia.

Seriously low blood pressure (hypotension) may lead to shock.

Severe infection that may lead to amputation or sepsis.

Answer:

It remains Stationary

Explanation:

stationary.

6923 N is the force on the string, Where g=9.8m/s, density of water=1g/cm³.​

volume=2πrh

volume= 942 cm³

density= mass/volume

mass=density× volume

mass=0.75g/cm³× 942 cm³

mass=706 kg

F= mg

F=706×9.8

F= 6923 N

Every action that attempts to maintain, modify, or change the motion of a body is referred to as a force in mechanics. In his Principia Mathematica, Isaac Newton frequently used his three laws of motion to demonstrate the concept of force (1687).

According to Newton's first law, a body will remain in either its resting or equally moving condition along a straight route in the absence of an external force. The second law states that when an external force acts on a body, the body accelerates (changing velocity) in the direction of the force.

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The approximate centripetal force on an astronaut of mass 80Kg if the centrifuge rotates once every 2s is 3.94 KN

ac = v² / r

v = 2 π r / T

ac = Centripetal acceleration

v = Linear / Tangential velocity

T = Time period

r = Radius

r = 5 m

T = 2 s

v = 2 * 3.14 * 5 / 2

v = 15.7 m / s

ac = 15.7 * 15.7 / 5

ac = 49.298 m / s²

Fc = m ac

m = Mass

m = 80 kg

Fc = 80 * 49.298

Fc = 3943.8 N

Fc = 3.94 KN

Therefore, the approximate centripetal force on the astronaut is 3.94 KN

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Answer:

b. 49.8

Explanation:

θc = sin^-1(1/1.309) = 49.81

Explanation:

Gravity is the only force acting on an object in free-fall. According to Newton's second law, the force is equal to mg, so the mass is taken into account there.

A 10-kg bag of goods on a shelf one meter above the ground has a gravitational potential of GPE= (10 kg)(9.8 m/s2) (1 m) GPE= 98 J

The formula for gravitational force is P.E. = mgh, where m represents the mass in kilograms, ga is the acceleration caused by gravity (9.8 m/s2 at the earth's surface), and h is the height in meters. Keep in mind that the gravitational potential energy is measured in the same units as kinetic energy, namely kg m2/s2.

The amount of labor required to dispense a body of unit mass form infinity to a certain point in a body's gravitational field is known as the gravitational potential. It is designated with the letter V.

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In the article the study author recommends going on a photo hunt and the purpose of this activity is Becoming more assertive.

The reason why the author gave the recommedation about going for the photo hunt is that the activity can bring about assertiveness which has not been seen in the participants before.

It should be noted that with the assertion, there will be display of  confident as well as  forceful personality as they are taking part in the photo hunt, because it involves the activity whereby the participants will be competing with themselves in the collection of the greatest number of objects which is been goteen from the predetermined list.

In conclsion, the recomedation about going to the photo hunts by te author was made so that they can become more assertive.

Therefore , the last option is correct.

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The correction options indicating a decomposition reaction are:

This a reaction in which a compound breaks down into smaller elements or compound by the application of heat. Example is given below:

AB₂ -> A + B₂

We can see that AB₂ decomposed to produce A and B₂

With the above information in mind, we can easily determine which reaction is decomposition reaction from the given options.

The options from the question are:

Observing the given options with the knowledge of decomposition reaction, we can conclude that the correct options are:

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Fgrav = 4.90 N; Fnorm = 4.90 N; Fnet = 1.73 N, then the acceleration of the cart is (a) = 3.46 m/s/s,

Acceleration is defined as a vector quantity, the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity. It can be either positive, negative, or zero depending upon the velocity and its direction. Three types of acceleration are Uniform acceleration, non-uniform acceleration, and average acceleration.

Formula

{a} = v - v0/t =Δv/Δ t

{a} = average acceleration

v = final velocity

v_0 = starting velocity

t = elapsed time

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Metals are great conductors because the electrons are able to move freely between the different energy levels within the atom.

What are conductors?

A substance or material that has the capability of conducting electricity or allows the passage of electricity to flow through it is known as conductor or electric conductor. The electrical charge carriers i.e., electrons or ions move easily from one atom to another when a voltage is applied on it.

The outer bound electrons of the metals are loosely bound  as the nucleus gets very less attracted on the electrons present on the outermost shell and because of this the charge carriers in them can move the current applied easily when there is a potential difference. Therefore, metals are considered to be the best conductors.

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The maximum height reached by the cylinder at the given initial velocity is 0.2 m.

The maximum height travelled by the cylinder is calculated by applying the following kinematic equation as shown below.

v² = u² - 2gh

where;

At maximum height, the final velocity of the cylinder = 0

v² = u² - 2gh

0 = u² - 2gh

2gh = u²

h = u²/2g

h = (2²) / (2 x 9.8)

h = 0.2 m

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The energy needed by a stove to transfer heat completely to 1 g of liquid water fro 1 °C to 25 °C is 100.37 J.

Energy is the ability or the capacity to do work.

To calculate the  amount of energy, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The energy required is 100.37 J.

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Taking into account the definition of calorimetry, the energy that a stove must transfer to completely heat 1 g of liquid water from 1 °C to 25 °C is 100.416 J.

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

When heat added or removed from a substance causes a temperature change in it without affecting its molecular structure, it is called sensible heat.

So, the expression that allows to calculate heat exchanges is:

Q = c× m× ΔT

where:

In this case, you know:

Replacing in the definition of calorimetry:

Q = 4.184 J/gC× 1 g× 24 C

Solving:

Q= 100.416 J

Finally, the energy needed is 100.416 J.

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