if two cars are both travelling at 50 km/h and they collide head on, the effect is similar to a car colliding with a wall at what velocity ?

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Answer 1

The effect is similar to a car colliding with a wall at a velocity  of 50 km/h.

What is the principle of conservation of linear momentum?

The principle of conservation of linear momentum states that the sum of the initial momentum is equal to sum of the final momentum, provided that the system is Isolated.

Mathematically, the law of conservation of linear momentum is given as;

Pi = Pf

where;

Pi is the sum of the initial momentumPf is the sum of the final momentum

m₁u₁ = m₂u₂

where;

m₁ is the initial massu₁ is the initial velocitym₂ is the final massu₂ is the initial velocity

Based on Newton's third law of motion, action and reaction are equal and opposite.

If the car collides with a stationary wall, the wall will exert equal and opposite reaction to the car. If a car hits a wall with a velocity of 50 km/h, the wall will move at a velocity of 50 km/h provided it has equal mass with the car.

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if you drop a rubber ball it doesn't bounce back to the height you dropped it from. this is consistent with:

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If you drop a rubber ball it doesn't bounce back to the height you dropped it from. this is consistent with: the second law of thermodynamics.

A solute moving from a high-concentration area to a low-concentration area. Molecules travel passively, following the gradient of concentration from high to low concentration, using NO energy.

The second rule of thermodynamics is a physical principle founded on the knowledge of how heat and energy are transformed throughout the world. A straightforward explanation of the rule is that heat always transfers from hotter to cooler things (or "downhill") unless energy of some kind is used to change the flow of heat.

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how might a differejce in the mass of the pod change the amount of force needed to be exerted by the thrusters to stop it

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A difference in the mass of the pod would greatly affect the force required by the thrusters to stop it. The larger the mass of the pod, the more force will be required to stop it. This is because the larger the mass, the more momentum it has and the harder it will be to stop.

The formula for momentum is p = mv, where p is the momentum, m is the mass, and v is the velocity. This means that the larger the mass and velocity of the pod, the more momentum it will have, and the more force will be required to stop it.

To stop the pod, the thrusters will need to exert an equal and opposite force to the momentum of the pod. This will cancel out the momentum and bring the pod to a stop. The larger the mass of the pod, the more force the thrusters will need to exert to cancel out the momentum and bring the pod to a stop.

Several factors can affect the mass of the pod, including the materials used in its construction, the payload it carries, and any additional equipment or systems it may have. For example, if the pod is made of lighter materials, it will have a lower mass and require less force to stop it. On the other hand, if the pod carries a heavy payload or has additional equipment installed, it will have a higher mass and require more force to stop it.

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A difference in the mass of the pod would have an effect on the amount of force needed to be exerted by the thrusters to stop it. This is because a pod with a large mass would require a lot of force to stop it. An object with a large mass will gain more momentum requiring more force to stop it.

The momentum formula is p = mv;

p represents momentum,

m is the mass,

v is the velocity.

This explains why a pod with a large mass will have more momentum and requiring more force to exerted to stop it.

So as to stop the pod, the thrusters will be required to exert an opposite and force which will eventually bring the pod to a stop.

The pod mass is determined by some factors such as the materials its made of and any load that its carrying. So, a pod made of heavy materials will need a lot of to be exert to stop it but one made of lighter materials will require less force to bring to a stop

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a young girl wishes to select one of the frictionless playground slides shown below to give her the greatest possible speed when she reaches the bottom of the slide. which slide should she choose?

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The girl may choose any of the slides. It is irrelevant. She would move at the same pace down each slide.

At the top of the slide, the youngster initially has gravitational potential energy. The youngster possesses thermal energy as well as kinetic energy when they reach the bottom of the slide since some of the energy was heated up due to friction. The curved slide is the fastest despite being longer than the other circuits. This is due to the fact that it is steeper at first, leading the ball to be more affected by gravity and accelerate more quickly before reaching its top speed.

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maximum muscle loading at a fixed speed with accommodating resistance throughout the entire range of motion is characterized by what method of exercise?

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Maximum muscle loading at fixed speed with accommodating resistance throughout entire range of motion is characterized by : Isokinetic exercise.

What is isokinetic exercise?

Isokinetic training is a sort of exercise that makes use of a unique machine. There are many levels of resistance produced by the exercise equipment. No matter how much force is used, motions are always made at the same speed. No matter how strong you are, a machine can always exert as much force as you do.

Isokinetic exercise includes cycling on a stationary bike. Your muscles will contract at the same rate across the entire range of motion if you walk at a consistent speed.

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Find the time it will take a 200 Watt motor to lift a 80kg load to a height of 2m. Use 3 sig figs and do not include units​

Answers

Answer:

1.25

Explanation:

To find the time it will take a motor to lift a load to a given height, we need to use the formula for power.

The formula for power is given by:

P = W/t

where P is the power of the motor, W is the work done by the motor, and t is the time it takes for the motor to do the work.

In this case, we are given that the power of the motor is 200 Watts, the weight of the load is 80 kg, and the height to which the load is lifted is 2 meters. We can use these values to solve for the time it takes for the motor to lift the load.

First, we need to calculate the work done by the motor. The work done by the motor is equal to the weight of the load multiplied by the height to which the load is lifted:

W = F * d

W = 80 * 2

W = 160

Next, we can use the formula for power to solve for the time it takes for the motor to lift the load:

P = W/t

200 = 160/t

t = 1.25

Therefore, it will take the motor 1.25 seconds to lift the 80 kg load to a height of 2 meters.

how do scientists estimate the age of the universe? they take the distance to a nearby galaxy and divide it by its speed of recession (time

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Two methods are used by astronomers to determine the age of the universe: 1) searching for the oldest stars, and 2) calculating the universe's rate of expansion and extrapolating back to the Big Bang.

Just as homicide investigators can determine a bullet's source from the holes it leaves in a wall. to calculate the ages of old, nearby stars and the distance between Earth and numerous galaxies. According to the best calculations of scientists, the universe is 13.8 billion years old. However, we are not totally certain of its age, as we are with so many of the largest-scale characteristics of the cosmos.

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what are theadvantages of high specific heat capicity of water?.

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Answer:

There are several advantages to the high specific heat capacity of water. Some of the key advantages are:

1.Water can store a large amount of heat energy without undergoing significant temperature changes. This means that water can help to regulate the temperature of the Earth and other bodies of water, providing a stable environment for life to thrive.

2.The high specific heat capacity of water allows it to act as a buffer against temperature changes. For example, when the temperature outside is very hot, water bodies such as oceans and lakes can absorb some of the heat energy, preventing the temperature from getting too high. Similarly, when the temperature outside is very cold, water bodies can release some of their stored heat energy, helping to keep the temperature from dropping too low.

3.The high specific heat capacity of water also makes it a useful heat transfer medium. Water can be heated and then used to transfer heat to other objects, such as in a radiator or a steam engine. This allows water to be used in a variety of industrial and domestic applications.

Why are we using raisins to observe
osmosis?

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We are using raisins to observe osmosis.

What is osmosis?

Osmosis is the spontaneous net movement or diffusion of solvent molecules through a selectively-permeablity of the membrane from a region to the  high water potential energy to a region of lower water potential energy, in  the direction that tends to the  equalize the solutes the  concentrations on the 2 sides.

Each one of them gaining H2O and swells when placed in pure water due to the  endosmosis. When such as swollen raisins/apricots are the  placed in to the concentrated Solution, each  of them are  loses, water and the  consequently shrinks is  again (due to exosmosis).

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a 12 kilogram cart is moving at a speed of .25 meter per second after the speed of the cart is tripled the inertia of that cart will be

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A 12 kilogram cart is moving at a speed of 0.25 meter per second after the speed of the cart is tripled the inertia of that cart will be will be 12 kilograms.

The inertia of an object is a measure of its resistance to changes in its state of motion. Inertia is directly proportional to the mass of the object. This means that if the mass of an object is increased, its inertia will also increase. In this case, the mass of the cart is 12 kilograms, and its speed is 0.25 meters per second. If the speed of the cart is tripled, the inertia of the cart will not change because the mass of the cart remains the same. The inertia of the cart will still be 12 kilograms. It is important to note that the speed of an object does not affect its inertia. Inertia is determined solely by the mass of the object. Every item maintains its condition of uniform motion in a straight direction or of rest unless it is compelled to do otherwise by forces applied to it. The Latin word iners, which means idle or sluggish, is where the word "inertia" originates. The resistance of any physical object to a change in velocity can also be referred to as inertia.

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choose the statement which is not correct when describing atrial flutter. a. a reentry circuit is created. b. ectopic impulses occur within the right atrium. c. heart rate increases to as high as 150 bpm. d. pr interval is impossible to compute.

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An incorrect statement when describing atrial flutter is that the heart rate increases to as high as 150 bpm.

Atrial flutter is a cardiac arrhythmia characterized by an atrial frequency of 240-400 bpm accompanied by signs of atrioventricular node conduction blockade. Atrial flutter is formed due to macro reentrant atrial tachycardia (MAT) which runs around the tricuspid annulus, then superiorly along the atrial septum, to the atrial wall inferiorly, across the cavotricuspid isthmus.

Atrial flutter, also known as atrial tachycardia asthmacroreentrant, is a reentry arrhythmia that spreads around the tricuspid valve annulus.

Re-entry ventricular arrhythmia is a type of paroxysmal tachycardia that occurs in the ventricles where the cause of the arrhythmia is that the electrical signal does not complete the normal circuit, but rather an alternative circuit that loops back on itself. There thrives an abnormally rapid and self-perpetuating activation.

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a solid aluminum cube rests on a wooden table in a region where a uniform externalelectric field is directed straight upward. what can we say concerning the charge on thetop surface of the cube?

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The charge concerning is positive. Electrons can freely migrate since aluminum is a conductor. Due to the electric field's upward direction, all of the aluminum cube's electrons will fall to the cube's bottom.

As a result, the cube's top will be positively charged. The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges. Charged particle flow is what makes up an electric current. Free electrons are the charged particles in metal conductors. Since the electrons are free to go from one ion to another, an electric current is created when there is net flow in one direction.

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what are the salient features of a hydrodynamic entry region? a thermal entry region? are hydrodynamic and thermal entry lengths equivalent? if not, on what do the relative lengths depend?

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Inviscid flow region and boundary regions are the salient features of a hydrodynamic entry region, a thermal entry region are hydrodynamic and thermal entry lengths equivalent.

A material's capacity to conduct heat is determined by its thermal conductivity. In contrast to materials with high thermal conductivity, low thermal conductivity materials transmit heat more slowly. For instance, insulating materials like Rockwool or Styrofoam are effective at retaining heat while metals often have high thermal conductivity and are very effective at transferring heat. In line with this, materials with high thermal conductivity are frequently used as heat sinks, whereas those with low thermal conductivity are employed as thermal insulation. Thermal resistance is the inverse of thermal conductivity. Working with numbers that are derivatives of thermal conductivity and that implicitly account for design-specific details like component dimensions is a typical practice in engineering. For instance, the amount of heat that travels through a plate of a certain area and thickness in a unit of time when the temperatures on its opposing faces differ by one kelvin is known as thermal conductance. Similar to how electrical conductivity and electrical conductance relate to one another, thermal conductivity and conductance do the same. The opposite of thermal conductivity is thermal resistance.

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a particle of mass and charge has an initial speed at point a and moves to a point b where the electric potential is greater than at point a. what is the particle's kinetic energy at point b?

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A particle of mass and charge has a starting speed at point a and goes to a point b where the electric potential is greater than at point a. At location b, the particle has a kinetic energy of 1/2mua2-q (V)

Given mass of particle is m and charge is q

At point a let the electric potential be Va and speed is ua

At point b let the electric potential be Vb and its speed be ub

The electric potential at b is greater than at point a So, let the electric potential at a be Va = 0 such that Vb>Va and Vb = V

At point b the particle comes to rest so the speed at point be zero. ub=0

by conservation of energy 1/2mua^2+q Va = 1/2mub^2+qVb

According to kinetic energy formula we say KE = 1/2MV^2

So Kinetic energy at point b is KE(b) = 1/2mua^2+q Va = 1/2mub^2+qVb = 1/2mua^2 +q(0-V)

KE(b) = 1/2mua^2-q(V)

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Of the three websites you read that weren't trying to sell a product (Wikipedia, American
Pregnancy, and Health Prep), which site did you feel presented the most objective, unbiased
information about cord blood banking? Of all the sites you looked at, which did you feel was least
objective and most biased? Why?

Answers

The site  that i think feel presented the most objective, unbiased information about cord blood banking is Wikipedia because it tends to give you different opinions or views from different expert in those field.

What is cord blood banking used for?

Anyone who needs stem cells, including a member of your close family, can benefit from cord blood banking. Your baby's cord blood contains stem cells. Numerous life-threatening diseases, including cancer, have been found to benefit from the use of stem cells from cord blood.

The following are some drawbacks of cord blood banking: Since there aren't enough stem cells in cord blood, adults who need transplants will need cord blood stem cells from several donors. In a private bank, people must pay a fee to store their cord blood, which could be pricey.

Therefore, the American Medical Association and the American Academy of Pediatrics advise against saving cord blood as a sort of "biological insurance," as the rewards are insufficient to outweigh the disadvantages. Hence i believe Wikipedia  gave me varieties of text about the issue.

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when light reflects from a surface, there is a change in its a. frequency. b. wavelength. c. speed. d. all of these e. none of these

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When light reflects from a surface, there has no change in its frequency, wavelength and speed.  So, option (e) is correct.

What is reflection of light?

It is known as light reflection when a light ray strikes a perfectly smooth, polished surface and reflects back. The surface reflects the incident light rays that come in contact with it. Reflected ray refers to the ray that returns. A perpendicular would be referred to as normal if it were drawn on a reflective surface.

In reflection,  frequency, wavelength and speed of the light wave remains same and only the direction of light changes.

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a boat parked on a riverbank needs to reach a point 30 directly across the river on the opposite bank. in still water, the boat moves at 4 . if the river has a current of 2 flowing parallel to the riverbank, how long does it take the boat to cross the river?

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It will take the boat 5 seconds to cross the river.

To determine how long it takes the boat to cross the river, we need to take into account the speed of the current as well as the speed of the boat.

The speed of the boat relative to the water (the speed of the boat plus the speed of the current) is given by the equation:

v_rel = v_boat + v_current

where v_rel is the speed of the boat relative to the water, v_boat is the speed of the boat in still water, and v_current is the speed of the current.

In this case, the speed of the boat in still water is 4 m/s and the speed of the current is 2 m/s. Plugging these values into the equation gives us the speed of the boat relative to the water of:

v_rel = 4 m/s + 2 m/s = 6 m/s

To determine the time it takes the boat to cross the river, we can use the equation:

t = d / v

where t is the time, d is the distance to be traveled, and v is the speed.

In this case, the distance to be traveled is 30 m and the speed is the speed of the boat relative to the water (6 m/s). Plugging these values into the equation gives us a time of:

t = 30 m / 6 m/s = 5 s

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what is the volume of 6.00 m nitric acid that contains 6.302 g of hno3 solute (63.02 g/mol)?

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16.7 mL is the volume of 6.00 m nitric acid that contains 6.302 g of [tex]HNO_{3}[/tex]solute (63.02 g/mol) .

[tex]HNO_{3}[/tex] is the formula of Nitric acid. This mineral acid is extremely corrosive.  The substance is colourless, but older samples may have a yellow hue from breakdown into nitrogen oxides. The majority of nitric acid that is sold commercially has a 68% concentration in water. Nitric acid that is flaring when the solution contains more than 86% [tex]HNO_{3}[/tex] Fumigating nitric acid can also be classified as red fuming nitric acid at concentrations over 86% or white fuming nitric acid at concentrations above 95%, depending on the amount of nitrogen dioxide present. By adjusting the final volume and concentration to be equal to the initial volume and concentration, we can determine the volume of concentrated acid that is required.

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during most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. but after all the hydrogen fuel is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. in a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. these pulsing stars were discovered in the 1960s and are called pulsars.
- A star with the mass (M=2.0×1030kg) and size (R=3.5×108m) of our sun rotates once every 35.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s . By treating the neutron star as a solid sphere, deduce its radius.Express your answer with the appropriate units.
- What is the speed of a point on the equator of the neutron star? Your answer will be somewhat too large because a star cannot be accurately modeled as a solid sphere.Express your answer with the appropriate units.

Answers

The speed of a point on the equator of the neutron star is 2.82 * 10^6 m/s , The radius is 900.1 km From conservation of angular momentum.

From the conservation of angular momentum

Li = Lf I i w i = i f w f

(2/5 m Ri 2) w i = (2/5 m R f2) wf R f = R i sqrt w i /  w f = 3.5 * 108 sqrt 0.2/ 35 (24 * 3600 S) = 900.1 km

(b)v =2.82 * 10^6 m/s

The rotating equivalent of linear momentum in physics is called angular momentum, also known as moment of momentum or rotational momentum.

It is a conserved quantity, meaning that in a closed system, the total angular momentum stays constant, making it a significant physical quantity.

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FILL IN THE BLANK. ____ are neutron stars that have magnetic fields 100 times stronger than the average neutron star.

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Magnetars are neutron stars that have magnetic fields 100 times stronger than the average neutron star.

a spring with a constant 585 n/m is placed vertical on the ground a 2.3 kg mass is placed on the spring and the spring is compressed 21.5 cm. the spring is released and the mass is launched directly up in the air what is the maximum height the mass reaches above its initial position

Answers

The maximum height up to which the mass reaches above its initial position is 71cm.

According to the law of conservation of energy, energy can never be created nor be destroyed so all the energy of the spring will be converted into the potential energy of the mass.

Now, we can calculate the height till which the mass will reach in the air from its initial position,

1/2Kx² = Mgh

Where,

K is the spring constant,

x is the compression in the spring,

M is the mass of the object,

g is the gravitational acceleration and,

h is the height till reach the mass will be launched in the air.

It is given to us that the spring constant is 585N/m, the mass of the object is 2.3 kg and 8 is producing a compression of 21.5cm in the spring.

Now, putting all the values to find the vertical height of the object,

1/2(585)(0.215)² = 2.3(9.8)h

h = 0.49m

h = 49cm.

So, the vertical height of the object will be 49 centimetre.

The distance from initial position is 71cm.

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what is the wavelength in nanometers of light when the energy is 1.91 × 106 j for a mole of photons?

Answers

E=hc/λ = 1.91 × 10^6

J = (6.626*10^-34) (3.00*10^8) / λ

λ= (6.626*10^-34) (3.00*10^8) / 1.91 × 10^6 J

λ= 1.0410^-31 10^-9 *6.022*10^23 = 62. 8 nm

the most accurate type of timer is the timer. a. mechanical b. electronic c. synchronous d. mas

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The most accurate type of timer is the Electronic timer. Option B.

A timer is a special type of clock used to measure a specific time interval. Timers can be divided into two main types. The word "timer" is usually reserved for devices that count down from a specified time interval, whereas devices that measure elapsed time by counting up from zero are called stopwatches.

A simple example of the first type is an hourglass. There are two main groups of working method timers: hardware timers and software timers. Most timers indicate that a set time interval has expired.

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the difference between the emitted frequency and the echo frequency returning from a moving scatterer is called

Answers

The Doppler effect, described in 1842 by Christian Andreas Doppler, is the change or shift in the frequency or wavelength of a wave due to relative movement between a sound source or scatterer and the receiver.

Formula

[tex]$$f_o=\frac{v+v_o}{v+v_s} f_s$$$f_0=$ observer frequency of sound$v=$ speed of sound waves$v_o=$ observer velocity$v_s=$ source velocity[/tex][tex]$f_s=$ actual frequency of sound waves[/tex]

The Doppler effect is a phenomenon that occurs when two objects move closer or farther apart, increasing (or decreasing) the frequency of sound, light, or other waves. A source's waves are compressed as they move in the direction of the observer.

The Doppler effect operates as follows: When a loud object approaches you, its sound waves congregate and increase in frequency or pitch. On the other hand, the sound waves spread apart and the pitch drops as the object moves away from you. The pitch change increases with object speed.

The Doppler effect causes the frequency of light waves coming from moving sources to either shift to the blue or red. This behaves in a way that is similar to other types of waves, such sound waves, but not exactly the same.

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1. if a mass of 0.55 kg attached to a vertical spring stretches the spring 2.0 cm from its equilibrium position, what is the spring constant of the spring?

Answers

The spring constant of the spring is 270N.

The force needed to extend or compress a spring is divided by the lengthening or shortening is used to determine the spring constant. It refers to the proportional constant k. It measures the spring's rigidity.

Given mass (m) = 0.55 kg, x = -2 cm = -0.2 m, and g = 9.81 m/s.

The net force is given by, NetF = Elastic Force + Gravity

Elastic force = -kx (k is spring constant and x is stretch length) and Gravity = -mg (m is mass and g is gravitational constant)

Net F = 0 = -kx-mg

Then, the spring constant is calculated as follows,

k=-mg/x

k=-(0.55 kg×9.81 m/s)/-0.2 m

k=270N

The answer is 270N.

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imagine you are running around a circular track at a constant speed. explain how you can determine how fast you are moving around the track. what must you measure, and how do you calculate your speed

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A thing that is rotating in a circle at a uniform or constant speed is said to be in uniform circular motion. The magnitude of the velocity vector is constant, but the direction changes.

Any item moving in a circle with a constant radius always completes the circle in the same period of time. Its period refers to that period. Many people believe that there is no acceleration because the speed is constant for such a move. Any item that is modifying its velocity is said to be accelerating. Additionally, because velocity is a vector with both magnitude and direction, a change in either one of them results in a change in velocity. It is acceptable to assume that an object travelling in a circle at a constant speed is accelerating as a result of this. Because the velocity vector's direction is shifting, it is accelerating.

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A uniform lead sphere and a uniform aluminum sphere have the same mass. What is the ratio of the radius of the aluminum sphere to the radius of the lead sphere?

Answers

The ratio of the radius of the aluminum sphere to the radius of the lead sphere can be represented as:

[tex]\displaystyle \frac{r_{Al}}{r_{Pb}} =\sqrt[3]{\frac{\rho_{Pb}}{\rho_{Al}} }[/tex]

What is the density?

The density of a material can be measured as the mass per unit volume of the material. The average density equals the mass divided by its total volume.

The mathematical formula for the density can be expressed as follows:

Density = Mass/Volume

The S.I. unit of the density that is used to measure is Kg/m³. If the size increases, the mass increases as well but the density remains constant.

Given the mass of the Al = mass pf the Pb

The ratio density of the Al and Pb can be represented as:

[tex]\displaystyle \frac{\rho_{Al}}{\rho_{Pb}} } = \frac{m/4\pi r_{Al}^3}{m/4\pi r_{Pb}^3}[/tex]

[tex]\displaystyle \frac{\rho_{Al}}{\rho_{Pb}} } = \frac{ r_{Pb}^3}{r_{Al}^3}[/tex]

[tex]\displaystyle \frac{r_{Al}}{r_{Pb}} =\sqrt[3]{\frac{\rho_{Pb}}{\rho_{Al}} }[/tex]

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approximately how much work do you do when you lift your 10.0 kg sister to a height of 1.5 m?

Answers

Answer:

approx. 147 units of work

Explanation:

To find the amount of work you do when you lift your sister to a given height, we need to use the formula for work.

The formula for work is given by:

W = F * d

where W is the work done, F is the force applied, and d is the distance moved.

In this case, we are given that the weight of your sister is 10.0 kg, the height to which you lift her is 1.5 meters, and the acceleration due to gravity is 9.8 m/s^2. We can use these values to solve for the amount of work you do when you lift your sister.

First, we need to calculate the force applied by you. The force applied by you is equal to the weight of your sister divided by the acceleration due to gravity:

F = m * a

F = 10.0 * 9.8

F = 98

Next, we can use the formula for work to solve for the work done when you lift your sister:

W = F * d

W = 98 * 1.5

W = 147

Therefore, you do approximately 147 units of work when you lift your 10.0 kg sister to a height of 1.5 meters. This result is not exact because the value of the acceleration due to gravity is an approximation

car x collides with car y. how does the momentum of each car change after the collision (assume similar mass)?

Answers

We use the law of conservation of momentum (p1 = p2 in both the x- and y-direction.

Let Car A, with a mass of 2000 kg, is going from west to east, while car B, with a mass of 1500 kg, is going from north to south at 15 m/s.

First, I try to find the momentum in the x-direction with the equation p1x = p2x. I insert the values from the problem statement:

x-dir. 2000 kg * Va1x + 1500 kg * 0 m/s = (2000 kg + 1500 kg) * Vabx * cos 65° y-dir. = 2000 kg * 0 m/s + 1500 kg * 15 m/s = 3500 kg * very * sin 65° very = (1500 kg * 15 m/s) / (3500 kg * sin 65°) = 7.1 m/s with the value for very, I try to find the value for the second side and the hypotenuse with trigonometry:

Vabx = Vaby / sin ∅ = 7.1 m/s / sin 65° = 7.83 m/s. With the Pythagorean theorem, I can now find the hypotenuse and the velocity that the two enmeshed cars have: Vab = √(7.12 + 7.832) = 10.6 m/s.

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a monochromatic light beam is incident on a barium target that has a work function of 2.50 ev. if a potential difference of 1.00 v is required to turn back all the ejected electrons, what is the wavelength of the light beam?

Answers

The wavelength of the light beam is 497 nm.

Given,

        Stopping Potential, V₀ = 1.00 eV

        Work function, ϕ = 2.50 eV

        Speed of light, c = 3 x 10⁸ m/s

        Charge of electron, e = 1.6 x 10⁻¹⁹ C

        Planck's constant, h = 6.63 × 10⁻³⁴ Js = 4.14 × 10⁻¹⁵ eVs

The expression for Einstein's photoelectric equation is:

                                   KEₘₐₓ    = E - ϕ                 ----- (1)    

Where,             

         KEₘₐₓ is the maximum kinetic energy

         E is the energy of the absorbed photons:  E = hf

         ϕ is the work function of the surface:  ϕ = hf₀

The potential difference required to back all ejected electrons is called the Stopping Potential (V₀).

               Stopping Potential (V₀) = KEₘₐₓ/e     -----(2)

Substituting (2) into (1)

                                       eV₀ = E - ϕ

                                     1.6 x 10⁻¹⁹ x 1 = E - 2.50

                                     E = 1.6 x 10⁻¹⁹ + 2.50

                                     E = 2.50 eV

We know that,

                                    E = hf

                                    E = hc/λ           [∵ f = c/λ]

                                    λ = hc/E

                                    λ = (4.14 × 10⁻¹⁵ × 3 x 10⁸) / 2.50

                                    λ = 1240 × 10⁻⁹ / 2.50

                                    λ = 496.8 × 10⁻⁹ m

                                    λ = 497 × 10⁻⁹ m  (approximately)

                                    λ = 497 nm

Hence,

         The wavelength of the light beam is 497 nm.

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Suppose the temperature of an ideal gas (in degrees Kelvin) is increased by a factor of 4?1)What happens to the average translational speed of the molecules in the gas?It increases by a factor of 2.It increases by a factor of 4.It increases by a factor of 16.

Answers

Suppose the temperature of an ideal gas (in degrees Kelvin) is increased by a factor of 4 so the average translational speed of the molecules in the gas gets doubled

We are aware that an ideal, monoatomic gas consists of:

Kinetic Energy is directly related to temperature.

Kinetic Energy = 1/2 x mv²

m = the gas's mass

v - the gas's speed

As a result, the square of the gas's velocity is directly proportional to its temperature.

As a result, if velocity (or speed) doubles, the Kelvin temperature will increase by a factor of four from its initial value.

The root mean square velocity will double if the velocity of every atom doubles.

As well as this, we are aware of root mean square velocity Vrms = v(3RT/molar mass).

Therefore, Vrms is inversely proportional to T's square root (temperature )

Vrms = √T

if temperature increase by a factor of 2,

Vrms = √2

if temperature increase by a factor of 4,

Vrms = √4

Vrms = 2, it gets doubled

if temperature increase by a factor of 16,

Vrms = √16

Vrms = 4, it gets doubled than temperature increase by a factor of 4

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