The toy car in Figure 20 runs off the edge of a table that is 1.225m high. The car lands 0.4000m from the base of the table. Show all work.
How long did it take the car to fall?

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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The free body diagram of the ball as shown shows al the forces that acts on the ball as it rolls on the floor.

We know that a free body diagram is the diagram that shows the forces that act on an object. Force is a vector quantity thus we must consider the magnitude and the direction of the force. An object can be acted upon by a system of forces. The system of forces would only cause the object to move when the forces are unbalanced. If the system of forces is balanced, the object would not move at all.

In this case, we have a ball that is rolling on a floor. There are four main forces that are acting on the ball as we can see from the free body diagram. These are;

1) The weight of the ball that acts downwards

2) The normal reaction that acts upwards

3) The force that moves the ball forward

4) The force of friction that resists the forward motion of the ball.

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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 distance of this star in kilometers is equal to 5.64 × 10¹⁸ kilometers. Also, the distance of this star in light-years is equal to 626.67 light-years.

Mathematically, the inverse square law for light can be used for calculating its luminosity at a distance by using this mathematical expression:

d = √(L/4πF)

Where:

Substituting the given parameters into the formula, we have;

Distance in kilometers, d = √(6.0 × 10²⁶/4 × 3.142 × 1.5 × 10⁻¹²)

Distance in kilometers, d = √(6.0 × 10²⁶/1.885 × 10⁻¹¹)

Distance in kilometers, d = √3.183 × 10³⁷

Distance in kilometers, d = 5.64 × 10¹⁸ kilometers.

For the distance in light-years, we would divide the distance in kilometers by 9.0 × 10⁻¹⁵:

Distance in light-years = 5.64 × 10¹⁸/9.0 × 10¹⁵

Distance in light-years = 626.67 light-years.

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Answer:

b) Convection

Explanation:

An air conditioner cools a room using convection method. Therefore, the option (b) is the correct answer.

The exact centripetal acceleration experienced by passenger  ∝ₙ and  driver ∝ⁿ is 80m/s²  & 66.67m/s² respectively.

Mathematically , Centripetal acceleration ∝= v²/r

In the given question velocity will be same for passengers and driver because of common frame.

But the radius is different since distance from each points of frame to the Centre of road will vary. so their centripetal acceleration will differ.

∝= v²/r using this we can find out the exact centripetal acceleration experienced by passenger  ∝ₙ and  driver ∝ⁿ

∝ₙ= 20²/5= 80m/s²

∝ⁿ=20²/6= 66.67m/s²

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Answer:

D

Explanation:

bike and road show equal and oppisite reaction

A 3 kilogram object traveling at 7 m/s and possessing a 42 J potential energy has a mechanical energy of 115.5 J.

Performing a specific task results in the accumulation of mechanical energy. It is the total of an object's potential energy and kinetic energy. It is stated as;

Potential and kinetic energy are the components of mechanical energy.

Given the information in the query;

The object's mass is 3 kg.

The object's speed is 7 m/s.

Object's potential energy is 42 J.

Calculate the object's kinetic energy.

Kinetic energy = 1/2 × mass × ( velocity )²

Insert the specified values.

Kinetic energy is = 1/2 x 3 kg x 7 m/s2.

Kinetic energy = 0.5 x 3 kg x 49 m2/s2.

Kinetic energy = 73.5 kg/m2/s2.

Kinetic energy = 73.5 J.

Now, the object's mechanical energy will be;

Potential energy plus kinetic energy equals mechanical energy.

Put the values in.

Mechanical energy = 42J + 73.5J

Mechanical energy = 115.5 J.

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a) Tractor trailer will have more kinetic energy

b) kinetic energy of pickup truck will be more than a SUV

c) school bus will have the maximum kinetic energy

a) Tractor trailer will have more kinetic energy because its mass is way to heavy than that of compact car as kinetic energy is not only just dependent on velocity but also depend upon mass of that body .

b) since , speed of SUV and truck is same , but mass of the truck is more than SUV , hence kinetic energy of pickup truck will be more than a SUV .

C) Since , school bus carries number of passengers than SUV or compact car , hence school bus will have the maximum kinetic energy .

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Explanation:

There two types of transformers which are mainly stepup and step down transformers

the former is used for increasing voltage while the latter is used for reducing voltage

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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The Force exerted by the physicist as she steps on a piece of gum is 18 Newtons and the right option is B) 18 Newtons.

Force can be defined as the product of mass and acceleration. The S.I unit of force is Newton (N) or kilogram- meter-per-seconds (kgm/s).

To calculate the amount of force she would exert, we use the formula below.

Formula:

Where:

From the question

Given:

Substitute these values into equation 1

Hence, the force exerted by the physicist is 18 N.

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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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Motion is caused due to external Force.

The universe contains multiple fundamental forces, including gravity, electromagnetic force, and weak and strong nuclear forces. However, when it comes to the motion of common objects, the forces of importance are primarily gravity, friction, and applied force.

The vector sum of all the forces acting on an object is the net force. That is, the net force is the sum of all forces, taking into mind that a force is a vector, and two forces of identical size and opposing direction cancel each other out.

When you apply force to an object, it moves. However, there is a little more to the story. Newton's second rule of motion asserts that you must total up all of the forces acting on a system to determine what will happen to it.

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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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26.83 Newton Force is the resultant of the two forces. ​

F1= 12 N

F2=24 N

resultant force= [tex]F_r= \sqrt{F_1^2+F_2^2+2F_1F_2cos \alpha}[/tex]

angle=90°

[tex]F_r= \sqrt{(12)^2+(24)^2+2(12)(24)(cos 90)}[/tex]

[tex]{:[=\sqrt(144+576+0)],[=\sqrt720],[=26.83N][/tex]

The resultant force is the total force acting on the object or body along with the direction of the body. The resultant force is 0 when the object is at rest or traveling at the same speed as the object. Given that each force is acting in the same direction, their aggregate force ought to be equal.

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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 Honda Civic is the car that would have greater impulse, momentum change and acceleration due to Collison.

The term impulse has to do with the product of force and time. The impact is literally the force that acts on an object for a short time. We know that the mass of the object is very important when we are discussing the impulse on the object.

When there is a  head-on collision that occurs between the  Mack truck and a Honda Civic, the Honda Civic would have the greater impulse and the greater change in momentum and thus the greater acceleration.

If we do not understand the concept of the effect of momentum and the acceleration of an object, we would not be able to understand the basic interaction that occur between objects using the principles of physics.

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Answer:

Electrons.

Explanation:

Neutrons are neutral particles found in the nucleus. The atomic mass is calculated using the protons and neutrons but not the electrons, as their mass is negligible. In an example, the element oxygen has an atomic number of 8 and an atomic mass of 16.

Potential energy is lost as the skier starts to descend the hill, while kinetic energy, or the energy of motion, is gained. The skier increases her speed as she decreases height (and thereby potential energy) (and thus gains kinetic energy).

Mass and speed are the two main determinants of kinetic energy. Because an object's motion is influenced by its velocity as well as its mass, though mass is the more crucial factor.

You are working against inertia when you accelerate an object. The change in the object's kinetic energy is equal to that work. Starting with the common equation for work against inertia, it is possible to prove that the relationship exists.

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The work done will be zero, since the object does not move. Also, the power will be zero since the work done is zero because the force must be applied in the direction of motion.

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The normal force on the box is 210 N.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Normal force on the box = total Weight of box and person = 210 N.

The normal force on the box is 210 N.

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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:

Yes.

Friction is the force which resists the motion of an Object. Measured in Newtons.

formula = F=ma, where f is the force, m is the mass and a is the acceleration

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.

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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The frequency of the rotational motion for the wheel to produce this effect 1.62 rev/min.

The angular speed of the wheel is calculated by applying the formula for centripetal acceleration of the wheel.

a = v²/r = ω²r

where;

The radius of the wheel = 356 m / 2 = 178 m

ω = √a/r

ω = √(5.1/178)

ω = 0.17 rad/s

The angular speed in revolution per minute is calculated as follows;

ω = 0.17 rad/s x 1 rev/2π rad x 60 s/1min

ω = 1.62 rev/min

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(a) To generate a 1 T magnetic field inside the solenoid, we need 7.96 x 10⁶ turns.

(b) If we had an iron core inside the solenoid with relative permeability of 64,000, the number of  turns would be 124 turns.

The number of turns of the solenoid is determined by applying the following equation for magnetic field strength at the center of the solenoid.

B = μnI

where;

n = B/ μI

N/L = B/μI

N = (BL)/μI

where;

n = (1 x 0.01) / (4π x 10⁻⁷  x 0.001)

n = 7.96 x 10⁶ turns

If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be calculated as;

N = (BL)/(μI x μr)

where;

N = (1 x 0.01) / (4π x 10⁻⁷  x 0.001 x 64,000)

N = 124 turns

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