what physical quantities do you need to measure to determine the electric power produced by a battery/power supply? what equation will you use?

Answers

Answer 1

Electrical power (P) can be defined as the sum of these two numbers if voltage (V) equals Joules per Coulombs (J/C) and amperes (I) = charge (coulombs) per second (A = Q/t). This is due to the fact that electrical power can also be expressed as P = V*I, or voltage times amperes.

Electric Power can be explained as:

Electric power is the rate at which electrical energy moves across an electric circuit. The SI unit of power is the watt, or one joule per second. The suffixes used to represent thousands, millions, and billions of watts are kilowatts, megawatts, and gigawatts, respectively. Watts are subject to the same standard suffixes as other SI units.

A power law is an equation in which, regardless of the initial sizes of the two values, a relative change in one quantity results in a corresponding relative change in the other.

The Equation:

Here, it is explained that Power equals Current times Voltage (P=VxI), Current equals Power divided by Voltage (I=P/V), and Voltage equals Power divided by Current (V=P/I).

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Related Questions

How will this surfboard’s streamlined shape affect its speed?

Answers

Answer: Speed increases

Explanation:

A streamlined shape reduces the surface area making contact with the fluid (in this case, water).  Less surface area making contact with the fluid means friction is reduced.  The lower the force of friction, the lower the "drag" on the object in motion, hence the faster it can go.  The force of friction is always in the opposite direction of the motion of the object.

a car is moving at a constant tangential speed of 50.0 m/s and takes one lap around a circular track in a time of 73.5 s. what is the magnitude of the acceleration of the car?

Answers

The acceleration of the car moving at the speed of 50 m/s and

completing one lap in the time of 73.5 seconds is 0.68 m/s²

The speed of the car = 50 m/s

The time taken to complete one lap = 73.5 s

The acceleration of the car can be found using the formula,

                      a = s / t

where a is the acceleration of the car

           s is the speed of the car

           t is the time taken to complete

Let us substitute the known values in the above equation, we get

                      a = 50 / 73.5

                         = 0.68 m/s²

Therefore, the acceleration of the car is 0.68 m/s²

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(a) the control in the experiment was 0 khz, or no sound. what information is gained by using the control with no sound that could not be obtained if no control were used?

Answers

In order to prevent deer from crossing the highway, the experiment involved placing sound-emitting equipment at the perimeter.

A procedure used to confirm or deny a hypothesis, as well as assess the effectiveness or likelihood of something that has never been tried before, is called an experiment. By showing what happens when a particular factor is manipulated, experiments shed light on cause-and-effect relationships. Experiments have a wide range of objectives and sizes but always rely on a repeatable process and a logical analysis of the outcomes. Additionally, there are experiment conducted in nature.

While teams of scientists may spend years conducting methodical research to advance their understanding of a phenomenon, a child may conduct simple experiment to understanding how things fall to the ground. In the science classroom, students benefit greatly from experiments and other hands-on activities. Experiments can improve test results and increase student engagement.

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after the switch is closed for a little while, the current through r1 is 1.4 a. what is the voltage across the capacitor?

Answers

To calculate the voltage across the capacitor is (1.44)R.

What is speed?

The speed at which electrons move past a particular location in an electrical circuit is known as the "current." In the most basic terms, current = flow. The international unit for measuring current is the ampere, pronounced "amp" (AM-pir).

What is voltage?

Voltage is the "pressure" under which electricity is pushed. Higher voltages result in more electricity flowing to an electronic device. The amount of voltage is measured in units known as volts (V).

I=1.4A

V=?

V=(1.44)R

R⇒ resistance

Therefore, the voltage across the capacitor is (1.44)R.

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a volleyball player hits a ball of mass m horizontally against a vertical wall. the ball rebounds with the same speed v with which it struck the wall. has the momentum changed, and if so, by how much (what magnitude)?

Answers

The magnitude of the change in momentum is twice the initial momentum 2mV.

Momentum is the same as the mass of an item elevated by using its pace and is equal to the pressure required to bring the item to a stop in a unit length of time.

Calculation:-

mass of the ball = m

Let the initial velocity coming the vertical wall is = +v

  Final velocity bouncing back from the wall = - V

momentum = mv

Change in momentum = m ( final velocity - initial velicity)

                                      =  m ( -V - V)

                                       = - 2mV

Only magnitude = 2mV.

Linear momentum, translational momentum, or true momentum is manufactured from the mass and speed of an item. it's far a vector quantity, possessing a magnitude and a course. If m is an object's mass and v is its velocity. Momentum is a dimension of mass in movement. How tons mass is in how much movement. additionally, it is given the symbol p.

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A pumpkin is dropped from the top of a Cilk Fm broadcasting tower. What is the pumpkin's velocity 3.00 s later?

Answers

The velocity of the pumpkin 3.0 seconds after it was dropped is 29.4m/s.

What is the pumpkins velocity after 3.0 seconds?

The formula for the first equation of motion is expressed as;

v = u + gt

Where v is final velocity, u is initial velocity, g is acceleration due to gravity ( g = 9.8m/s² ) and t is time elapsed.

Given the data in the question;

Since the pumpkin was initially at rest before it was dropped.

Initial velocity u = 0Elapsed time t = 3.0s Velocity after 3 second v = ?

To determine the velocity of the pumpkin after 3 seconds, plug the given values into the above equation of motion.

v = u + gt

v = 0 + ( 9.8m/s² × 3.0s )

v = 9.8m/s² × 3.0s

v = 29.4 m/s

Therefore, the final velocity is 29.4 meter per seconds.

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At rest, a car's horn has a frequency of
395 Hz. Car A passes car B on the street
in the same direction. If car A is traveling
at 22.0 m/s and car B is traveling
at 19.5 m/s, what frequency does
car B hear when car A honks?

(Speed of sound = 343 m/s)
(Unit = Hz)

Answers

The frequency heard by car A is determined as 398.4 Hz.

What is the frequency heard by car A?

The frequency heard by car A is determined by applying the following equation.

f = fs(v - v₀) / (v - vs)

where;

v is the speed of sound = 343 m/sv₀ is the speed car B = 19.2 m/svs is the speed of car A = 22 m/sfs is the frequency of car A = 395 Hzf is the frequency of car B = ?

f = 395(343 - 19.2) / (343 - 22)

f = 395(1.0087)

f = 398.4 Hz

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A 90.0 gram mass is 75 centimeters from the pivot point on a balance scale. What mass must be placed 45
centimeters from the pivot to create rotational equilibrium?

Answers

Answer:

Explanation:

Given:

m₁ = 90.0 gram = 0.090 kg

L₁ = 75 cm = 0.75 m

L₂ = 45 cm = 0.45 m

__________________

m₂ - ?

Lever balance (rule of moments):

M₁ = M₂

F₁·L₁  = F₂·L₂

m₁·g·L₁  = m₂·g·L₂

m₁·L₁  = m₂·L₂

Mass:

m₂ = m₁·L₁ / L₂

m₂ = 0.090·0.75 / 0.45 = 0.150 kg    or   150 gram

AP physics 1: Extra points!!

Answers

Tension force, Friction and gravity are acting on acrobat player while hanging in middle.

Tension is a contact force that is transmitted via a rope, thread, wire, or other similar material when pressures on the opposing ends are pulling on it. For example, the rope holding a tire swing to a tree limb is strained. The rope is pulled upward by a branch that is fighting the rope's tug tension, which is merely a pulling force, while the rope is pulled downward by gravity. Pushing on a loose rope creates no strain. As a result, the force of tension must always be represented in the direction that the string is pulling the object in a free-body diagram.

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224/88 ra —> 4/2he + a/z x
What is the atomic mass of the new atom
What is the atomic number of the new atom
What is the symbol of the new atom
What type of decay is demonstrated here

Answers

Atomic mass = 220

Atomic number = 86

symbol = 220/86 x

Alpha decay is demonstrated here

The atomic mass of the new atom = a = 224 - 4 = 220

The Atomic number  of the new atom  = z = 88 - 2 = 86

Symbol of new atom will be = 220/86 x

A radium nucleus undergoes alpha decay to form a different element and an alpha particle .

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why do massive stars collapse after they have fused silicon to make nickel, which then decays to make iron in their cores?

Answers

The sudden cessation of energy generation causes the core to collapse and the star's outer layers to collapse onto the core.

What is core collapse?

Core-collapse supernovae are spectacular explosions that occur at the end of a big star's thermonuclear evolution, giving rise to neutron stars and black holes. They are among the most intense occurrences in the universe, play an important role in the synthesis and distribution of chemical elements, drive the development of new stars, and are closely tied to an enigmatic subclass of gamma-ray bursts. As a result, astro-physicists are keen to learn which stars burst as supernovae, what physical mechanisms produce the explosion, and what observable effects result from these cataclysmic events.

When the explosion wave generated in the optically obscured stellar centre eventually reaches the surface layers of the star, the visual supernova outburst begins.

The fire ceases because iron does not work as a fuel. The sudden cessation of energy output leads the core to collapse and the star's outer layers to collapse onto the core. The infalling layers compress so quickly that they 'bounce' off the iron core at near-lightspeed.

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suppose you exert a force of 165 n tangential to a 0.23- m-radius 73 kg grindstone (a solid disk). what is the angular acceleration (in si unit) if there is an opposing frictional force of 30 n exerted 0.16 m from the axis? enter only the number of your answer with 3 or more significant figures.

Answers

The angular acceleration (in si unit) if there is an opposing frictional force of 30 n exerted 0.16 m from the axis is 29.5 rad/s²

Torque , t = force × perpendicular radius= 165 × 0.23=37.95 Nm

moment of inertia of disk = 0.5MR²

T=I*∝

37.95=0.5×73×0.23∝

∝=29.56 rad/s²

Net torque Tn=37.95-30*0.016=37.4

Tn=0.3MR²∝

37.95=0.5×73×0.23∝

∝=29.5 rad/s²

The term "angular acceleration" also applies to the angular acceleration. It is a quantitative way of expressing how quickly angular velocity changes over time. The change in angular velocity that a spinning object experiences per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It is a vector quantity that has two distinct directions or senses as well as a component of magnitude. The angular acceleration, commonly denoted by the symbol and expressed in radians per second per second, is the time rate of change of the angular velocity.

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In 1924, edwin hubble proved that the andromeda galaxy lay far beyond the bounds of the milky way, thereby putting to rest the idea that it might have been a cloud within our own galaxy. What key observation enabled him to prove this?.

Answers

The key observation was observing individual Cepheid variable stars in Andromeda and applying the period-luminosity relation.

Edwin Powell Hubble was an American astronomer. He played a crucial role in establishing the fields of extragalactic astronomy and observational cosmology.

In 1924, Edwin Hubble proved that the Andromeda Galaxy lay far beyond the bounds of the Milky Way, thus putting to rest the idea that it might have been a cloud within our own galaxy. This all he has done by observing individual Cepheid variable stars in Andromeda and applying the period-luminosity relation.

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into how many possible components can a single force be resolved? a) three components b) an unlimited number c) four components at right angles to each other d) two components\

Answers

A single force is resolved by An unlimited number. Option B.

This single force can be decomposed into two components, upward and to the right. Each component represents the influence of this chain in the specified direction. Any force can be decomposed into individual partial forces, just as individual partial forces can be put together.

The force can be decomposed graphically or by trigonometry into two force components. Each set of forces on an object can be replaced by a single force and a single acting pair that is statically equivalent to the original set of forces and moments. This set of equivalent forces and pairs is called an equivalent force pair system.

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a hydrogen balloon rises up when released. within a short period of time, the balloon expands and does a work of 6000 j to the outside environment. during the same period of time, it also loses 12000 j of heat. how much does the internal energy of the balloon changes?

Answers

It's internal energy decreases of 18000J.

ΔQ = ΔU + ΔW

-12000J = ΔU + 6000

ΔU = - 18000J

Internal energy is the energy attributed to the disorderly, haphazard motion of molecules. It refers to the intangible microscopic energy on the atomic and molecular levels, which is distinct in scale from the macroscopic organised energy connected to moving objects. A glass of water that is at normal temperature and is resting on a table, for instance, has no discernible potential or kinetic energy. Although it is a seething mass of molecules moving at hundreds of metres per second at the microscopic level. When we superimpose an ordered big scale motion on the water as a whole, this tiny energy would not necessarily alter if the water were thrown across the room.

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A student decides to conduct a comparative investigation to study properties of elements.What is a benefit of conducting a comparative investigation rather than a descriptive investigation?
a It will be less time-consuming to collect data about elements.
b It will show a cause-and-effect relationship between two properties of elements.
c It will be less expensive to collect data and make observations about elements.
d It will provide much more information about properties of elements.
please answer right I'm on an exam and show picture to show right if u can

Answers

Answer:its b

Explanation: i took the test

in a high wind situation, the flames of a wildfire will bend away from the direction of the wind and the flame height will be different from the flame length. which is used to describe the fireline intensity?

Answers

Flame length is used to describe the fireline intensity.

What is fireline intensity?

The sum of the heat released during a given period of time for each unit length of the fire's edge and the rate at which the fire spreads per unit of ground area is called the heat availability of combustion per unit of ground. Btu/sec/ft of fire front is the fundamental unit of measurement.

The rate of energy or heat emission per unit time per unit length of the fire front is called the fireline intensity (kW/m). From a mathematical perspective, it is equal to the product of the fuel's low heat of combustion (kJ/kg), the amount of fuel used in the flame front (kg/m2), and the linear rate of fire

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what would happen to the force exerted by the sun on earth if the sun shrank and became half its present size while retaining the same mass?

Answers

The force would be the same. Since gravitational force only varies with object mass and separation

What is called gravitational?The force of gravity, often known as gravitation, affects every material object in the universe.The force of gravity tends to draw any two objects or particles with nonzero mass toward one another.From subatomic particles to galaxy clusters, gravity affects things of all sizes.A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.

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what is the theoretical effect on the period when you change the revolving mass while keeping the radial force and radius the same?

Answers

Changing the revolving mass and keeping the radial force same the Period will alter. According to variations in revolving mass.

What is radial force?

A force applied in a radial direction toward or away from the centre is referred to as a radial force. When a massed body or fluid element moves in a circular motion, an equilibrium between the centripetal force acting from the inside and the centrifugal force acting from the outside is created in the radial direction.

F = mv²/r

F = Force required to keep the mass in a circle

m = mass

v = velocity of the mass

r = radius of the circle.

Since, v = 2πr/t

Where t = period

π = pie

Substitute the value of v

We have, F = m(2πr/t)²/r

F = 4π²r²m/t²r

F = 4π²rm/t²

If the path radius and radial force are kept constant then mass is directly proportional to period

m ∝ t

Which means if mass increases period will increase as well.

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5. In an emergency, the driver of a 1.3 x 10³-kg car slams on the brakes, causing the car to skid forward on the road. The coefficient of kinetic friction between the tires and the road is 0.97, and the car comes to a stop after travelling 27 m horizontally. Determine the work done by the force of friction during the skidding.​

Answers

The work done by the force of friction during the skidding, given that the car comes to a stop after travelling 27 m horizontally is 333660.6 J

How do I determine the work done?

We'll begin by obtaining the frictional force. This can be obtained as follow:

Mass (m) = 1.3 x 10³ KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = mg = 1.3 x 10³ × 9.8 = 12740 NCoefficient of kinetic friction (μK) = 0.97Frictional force (F) = ?

F = μKN

F = 0.97 × 12740

Frictional force = 12357.8 N

Finally, we shall determine the work done by the force of friction. This is illustrated below:

Frictional force = 12357.8 NDistance (d) = 27 mWorkdone (Wd) =?

Work done (Wd) = force (F) × distance (d)

Wd = 12357.8 × 27

Wd = 333660.6 J

Thus, we can conclude that the work done by the force of friction is 333660.6 J

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the purpose of an airbag is to increase the time it takes your body to come to a stop during an automobile accident. this increased time causes the force of the impact to decrease. question 8 options: 1) true 2) false

Answers

The purpose of an airbag is to increase the time it takes your body to come to a stop during an automobile accident. this increased time causes the force of the impact to decrease - True.

Air bags add protection and should be used in connection with seat belts.

These are balloon cushions that protect passengers in the event of a collision.They provide a soft restraint between the occupants and the vehicle interior during a crash, which can reduce or even prevent injuries.used in automobiles because they can reduce the force felt by a person in the event of an accident.

Air bags increase the amount of time it takes to stop the driver and passenger's momentum. During a collision, the motion of the driver and passenger propels them towards the windshield.

The purpose of an airbag is to increase the time it takes your body to come to a stop during an automobile accident. this increased time causes the force of the impact to decrease - True.

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how many high voltage cables supply electrical power to the hv components at the front of the vehicle?

Answers

Option B. Can be charged to full capacity by using a special dealer-only high-voltage charger.

Voltage is the strain from an electrical circuit's energy source that pushes charged electrons (modern-day) through and engages in the loop, allowing them to do paintings inclusive of illuminating light. In quick, voltage = strain, and it's far measured in volts (V).

Voltage, also called an electric-powered strain, electric-powered anxiety, or ability distinction is the difference in electric-powered capacity between two factors. In a static electric field, it corresponds to the work needed in step with a unit of charge to move a take a look at the rate among the 2 points.

Voltage, also called electromotive force, is absolutely electricity consistent with unit fee. In different phrases, voltage is the difference in electric-powered capacity among factors. contemporary is just the rate of drift of electrical fee.

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Disclaimer:- your question is incomplete, please see below for the complete question.

how many high-voltage cables supply electrical power to the hv components at the front of the vehicle?

A. Using the ICE to turn the motor/generator to fully charge the HV battery

B. Can be charged to full capacity by using a special dealer-only high-voltage charger

C. Operating the ICE at idle after returning from a trip

two tugboats pull a disabled ship. each boat exerts a constant force of 1.80x106n, on 20 degrees west of north and the other 20 degrees each of north. they pull the ship 0.75km toward the north. what is the total work done on the ship? do not include units.

Answers

The force exerted continuously on a specific object in a direction parallel to the direction of the acceleration caused in the body is referred to as a constant force.

Explain about the constant force?

A massive body will accelerate or alter its velocity at a constant rate when a constant force is applied to it, according to Newton's second law. In the simplest case, when a force is applied to an object at rest, the object accelerates in the direction of the applied force.

In order to verify that the physical equations are valid, we employ a set of fundamental invariant values called physical constants. These constants are mostly seen in nature and in broad physical study.

The force of gravity is an excellent illustration of a constant force. An object's mass times its gravitational acceleration on Earth always equals the force of gravity acting on that object (9.81ms2 9.81 m s 2 ).

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When a person walks on a tile, a potential difference of 40 V is induced across the tile.
The power output of the tile is 4.4 W.
Calculate the current in the tile.
[3 marks]

Answers

The current in the tile is 0.11 ampere.

What is electric current?

The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Due to not following vector law of addition, current is  a scalar quantity.

Given parameters:

Potential difference: V = 40 V.

The power output: P = 4.4 W.

We have to find, the current in the tile; I =?

We know that, power output = current × Potential difference

So, the current in the tile = power output /Potential difference

= 4.4/40 ampere.

= 0.11 ampere.

Hence the current in the tile is 0.11 ampere.

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you are moving toward a stationary observer in your spaceship at 0.5c while shining a light toward the stationary observer. at what speed does the stationary observer measure the light from your spaceship?

Answers

The stationary bystander measures the light coming from your spaceship at the speed of light.

What it refers to is speed. the rate at which the position of an object shifts in any direction. Speed is defined as the rate of the distance traveled to the time needed to cover that distance. Speed is a scalar volume since it just has a direction and no magnitude.

Light is a type of electromagnetic radiation that helps the mortal eye see or makes effects visible. The term" radiation that's visible to the mortal eye" can also be used to describe it. Photons, which are bitsy energy packets, are present in light.

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what is the final velocity (in m/s) of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest?

Answers

The final velocity (in m/s) of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest will be 31.30 m/s

given

initial velocity = 0

displacement = s = 50 m

using kinematics equation

2as = [tex]v^{2} - u^{2}[/tex]

2* (g) * s = [tex]v^{2}[/tex] - 0

[tex]v^{2}[/tex]  = 2 * (9.8) * 50

v = 31.30 m/s

The final velocity will be v = 31.30 m/s

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a very well insulated air-filled capacitor is charged and stores 30 j of electric energy. after the capacitor is disconnected from the power source, a dielectric sheet is inserted between the plates which fills the entire space between the plates. after this, the energy stored by the capacitor is:

Answers

The energy stored by the capacitor decreases by 1/K J.

A capacitor is a device that shops electrical electricity in an electric-powered discipline by virtue of gathering electric prices on close surfaces insulated from each other. it's miles a passive electronic thing with terminals. The impact of a capacitor is known as capacitance.

Calculation:-

Energy stored in an air-filled Capacitor = 30 J

  = Q²/2C = U = 30 J

Now, the power source is disconnected and the dielectric is inserted.

Since there is no source to provide a charge, So charge remains constant.

Noe, capacitance is increased to K times of initial capacitance

C' = KC

U' = Q²/2C'

    = Q²/2KC

    = 1/k (Q²/2C)

   = 1/K × 30

  = 30/K J

Hence, the energy decreases with the inserting dielectric.

The capacitor is a device for storing electrical power, along with two conductors in near proximity and insulated from every other. A simple instance of this type of storage tool is the parallel-plate capacitor. the main function of capacitors is to save electrostatic electricity in an electric area, and deliver this power to the circuit, when vital. They allow the AC to skip but block the drift of DC to avoid a risky breakdown of the circuit.

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a 0.145- kg baseball with an initial speed of 28 m/s rebounds with a speed of 33 m/s after being struck with a bat. if the duration of contact between ball and bat was 1.7 ms, what was the magnitude of the average force between ball and bat?

Answers

Linear momentum is a vector quantity defined as  p=mv

where m is the body mass and v

its vector velocity. A body may undergo changes in linear momentum. Suppose a particle changes its initial momentum from pi to a final momentum pf, during a time Δt. We have

ΔpΔt=mvf−mviΔt=mΔvΔt

=m⟨a⟩

where ⟨a⟩=ΔvΔt

is an average acceleration, and we can identify the result above as the average force acting on the particle during the change in momentum:

⟨F⟩=ΔpΔt

Answer and Explanation:

A baseball has mass

m=0.145kg. Consider the x-axis defined in the figure below. We can write the ball's initial...

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Linear momentum is a vector quantity defined as  p=mv.

What is magnitude of the average force?

Units of mass times length over time squared are used to express the strength of a force. The most used unit in metric measurements is the newton (N), which is equal to one kilogram times one meter over one second squared.

its vector speed. Linear momentum can alter for a body. Let's say a particle undergoes a time-dependent shift in momentum from pi to pf. To date,

ΔpΔt=mvf−mviΔt=mΔvΔt

=m⟨a⟩

where where a=vt

is a typical acceleration, and the outcome shown above can be interpreted as the typical force exerted on the particle during the change in momentum:

⟨F⟩=ΔpΔt

A baseball has mass m=0.145kg. Consider the x-axis defined in the figure below. We can write the ball's initial.

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. a car going around a curve of radius r at a speed v experiences a centripetal acceleration ac. what is its acceleration if it goes around a curve of radius 3r at a speed of 2v?

Answers

The acceleration of the car that goes around a curve of radius 3r at a speed of 2v is 4 / 3 ( ac )

ac = v² / r

ac = Centripetal acceleration

v = Linear / tangential velocity

r = Radius of curve

This the acceleration of the car that goes around a curve of radius r and velocity v.

For a car that goes around a curve of radius 3r at a speed of 2v,

ac' = ( 2v )² / 3r

ac' = 4v² / 3r

ac' = 4 / 3 ( ac )

Therefore, the acceleration of the car that goes around a curve of radius 3r at a speed of 2v is 4 / 3 ( ac )

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Find the magnitude and direction of (a) the resultant (b) the equilibriant of two forces, 10 N acting in the direction N 30 East and 15 N acting in the easterly direction, if both forces act at a point.​

Answers

(a) The magnitude of the resultant of the forces is 24.2 N.

(b) The direction of the forces is  12⁰.

(c) The equilibrant of two forces is -24.2 N.

What is the resultant of the forces?

The resultant of the forces is calculated by resolving the forces into x and y components as follows;

The x-component of the forces is calculated as follows;

x-component of the first force = 10 N x cos(30) = 8.66 N x-component of the the second force = 15 N x cos(0) = 15 N

sum of x - component of the forces, X = 8.66 N + 15 N = 23.66 N

The y-component of the forces is calculated as follows;

y-component of the first force = 10 N x sin(30) = 5 N y-component of the the second force = 15 N x sin (0) = 0 N

sum of y - component of the forces, Y = 5N + 0 N = 5 N

The resultant of the forces is calculated as;

F = √(X² + Y²)

F = √(23.66² + 5²)

F = 24.2 N

The direction of the forces is calculated as;

θ = arc tan (Y/X)

θ = arc tan (5 / 23.66)

θ = 11.9⁰ ≈ 12⁰

An equilibrant force is equal in magnitude both opposite in direction to the resultant force.

Thus, the equilibrant of two forces is -24.2 N.

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