Which of the following describes an object in static equilibrium?
A.A platypus lies motionless on the sand.
B.A tuna speeds up from 2 m/s to 3 m/s
C.A dolphin jumps out of the water
D.A zebra shark swims at a constant speed of 8 m/s

Answers

Answer 1

A is the answer. If an object is at rest and is in a state of equilibrium, then we would say that the object is at static equilibrium. Static means stationary or at rest. A common physics lab is to hang an object by two or more strings and to measure the forces that are exerted at angles upon the object to support its weight.

Answer 2

Answer:

A).  A platypus lies motionless on the sand.

Explanation:

As we know that equilibrium is defined as the system in the state of ZERO net force or zero acceleration condition.

So equilibrium is of two types

1) Static equilibrium : Here object will remain at rest and do not have any type of motion.

2) Dynamic equilibrium : Here object may move with constant speed in same direction so it will not have any acceleration.

So here

B.A tuna speeds up from 2 m/s to 3 m/s

C.A dolphin jumps out of the water

Not in equilibrium as speed is changing so acceleration is not zero

D.A zebra shark swims at a constant speed of 8 m/s

It is in dynamic equilibrium case where speed is constant

so correct answer will be

A.A platypus lies motionless on the sand.


Related Questions

A 50- kilogram student stands on the surface of the earth. what is the magnitude of the gravitational force of the eart

Answers

Answer:

490 N

Explanation:

The magnitude of the gravitational force acting on an object on the surface of the Earth is given by:

[tex]F=mg[/tex]

where

m is the mass of the object

g = 9.8 m/s^2 is the acceleration due to gravity

In this problem, we have a student with mass m=50 kg, so the force of gravity in this case is

[tex]F=(50 kg)(9.8 m/s^2)=490 N[/tex]

do you think companies should be required to disclose ingredients in their chemicals if there are environmental concerns? Explain why or why not ? Use at least 3 pieces of evidence

Answers

Answer:

Yes, chemical companies should be required to disclose ingredients in their chemicals, if there are environmental concerns.

A chemical engineer must understand the field of environmental laws for theses reasons.

1. The chemical engineers must perform affirmative duties, otherwise the chemical engineers and their firms may be held civilly or criminally liable.

2. The chemical company must communicate with environmental law professionals to know about environmental laws and regulations.

3. The chemical company must understand environmental laws and regulations  to allow the chemical engineers to lobby for more effective laws and regulations in the future.  

Gina has brown eyes. Her mother also has brown eyes, but her father has blue eyes. Most of the people in Gina's town have brown eyes. Gina most likely inherited brown eyes from _______.

Answers

Her mom's dominant brown eye genes.

Answer:

her mother

Explanation:

The force on an object is given by the equation F = ma. In this equation, F is the force, m is the mass, and a is the acceleration. Which answer shows this equation solved for mass?

A. m = Fa

B. m = m/F

C. m = a/F

D. m = F/a

Answers

I cannot eliminate B by any method but to say that you cannot manufacture an extra m in an equation. So B is wrong.

The original equation is F = m * aif you want m by itself, you must divide both sides of the equation by aF/a = m*a/a        Do the divisionF/a = m               the "a"s cancel.So D turns out to be the answer.

C divides only once side by F. It is an unbalanced operation

A does some sort of mathematical slight of hand. Good for magicians, bad for physics students. I don't know how A is justified. It's just wrong.

D <<< Answer

In order to determine mass, you would need to isolate m, in other words keep it alone (m =). However, it can be quite tricky at first glance to do this. Simply divide A by both sides to isolate the m.

F = Ma

M needs to be isolated.

Divide A by both sides to isolate M.

F/a = m

M = F/a

Answer:

D. m= F/a

What is evidence that the earth rotates on its axis?
How long does it take earth to rotate on its axis?

Answers

The South Pole is the other point where Earth's axis of rotation intersects its surface, in Antarctica. Earth rotates once in about 24 hours with respect to the Sun, but once every 23 hours, 56 minutes, and 4 seconds with respect to the stars (see below).

Answer:

is 365 days. Because that will equal a year and when the sun goes around the earth one whole time it will be in a year.

Explanation:

i just did a teat, and im smart

The collision of the deep impact probe with the nucleus of comet tempel 1 in 2005 revealed the nucleus as a rubble pile held together by

Answers

Answer

correct Answer is gravitation

Explanation

In 2005, collision of deep impact probe with the nucleus of comet tempel 1 was carried out. In this probe the length of Tempel 1's nucleus was about 5km long. In this probe it was revealed that the nucleus behave as a rubble pile which is held together by gravitation.

In this probe speed of Tempel 1  which is moving towards the nucleus was 10km/s.  In this probe series of images was recorded and cloud of debris was analyzed,It was discovered that comet is made up of a primordial chunk of solar system material. It was observed that Tempel 1's has tiny grains of silicates, iron compounds, complex hydrocarbons, and clay and carbonates thought to require liquid water to form it was more appropriate for a cosmic souffle, as the nucleus is apparently porous and fluffy.

Answer:

Self Gravity

Explanation:

Tempel 1 is a periodic Jupiter-family comet discovered in 1867 by Wilhelm Tempel which is where it got its name from.It takes 5.5 years for it to complete an orbit of the Sun.

After the probe of the collision which took place in 2005, it was discovered that the comet was held together only by self-gravity rather than by structural bonds between the cometary particles themselves.

During the first 5 seconds of a rocket launch, the momentum of the rocket increased by 10,000 kg m/s. What was the impulse applied to the rocket during this time?

Answers

Answer:

10,000 kg m/s

Explanation:

The impulse exerted on an object is equal to the change in momentum of the object itself:

[tex]I=F \Delta t = \Delta p[/tex]

where

I is the impulse

F is the force applied

[tex]\Delta t[/tex] is the time during which the force has been applied

[tex]\Delta p[/tex] is the change in momentum

In this problem, we are already given the change in momentum of the rocket: since the rocket starts from rest, its change in momentum is equal to its momentum after 5 seconds,

[tex]\Delta p = 10,000 kg m/s[/tex]

and so, the impulse is equal to this value.


Final answer:

The impulse applied to the rocket during the first 5 seconds of its launch, which resulted in a momentum increase of 10,000 kg m/s, is equal to 10,000 kg m/s, as impulse is directly equivalent to the change in momentum.

Explanation:

The question involves the concept of impulse in physics, which relates to the change in momentum of an object when a force is applied over a period of time. In the scenario provided, the rocket's momentum increased by 10,000 kg m/s over the first 5 seconds of the launch. By definition, the impulse applied to the rocket is equal to the change in momentum, which in this case is also 10,000 kg m/s. Since impulse (J) is equal to the product of the force (F) and the time interval (δ) during which the force is applied, we can express the formula as J = Fδt. Because the momentum change is given for a specified time interval (the first 5 seconds), the impulse can be directly calculated without needing to determine the specific force values at each moment during that period.

Linus builds an electrical circuit with a battery and with wires that carry the current. As the battery weakens, the current also weakens. How does this affect the magnetic field around the wires?

A. The field gets stronger.

B. The field gets weaker.

C. The field changes direction.

D. The field disappears completely.

Answers

Answer: The correct answer is option (B).

Explanation:

The current carrying wire produces the magnetic field around it. More the current in the wire, stronger will be the magnetic strength around the wire. The magnetic field is stronger near this wire.

The direction of the magnetic field depends on the direction of the current.

In the given problem, Linus builds an electrical circuit with a battery and with wires that carry the current.The strength of the magnetic field depends on the amount of current flowing in the wire.  As the battery weakens, the current also weakens.

Therefore, the magnetic field around the wires is weaker.

The magnetic field getting weaker is the correct answer when Linus builds an electrical circuit with a battery and with wires that carry the current. The correct answer is (B).

The strength of the magnetic field around the wires is directly proportional to the current flowing through the wires. As the battery weakens and the current decreases, the magnetic field strength around the wires also decreases.

Conversely, if the current increases, the magnetic field strength increases. This relationship is described by Ampere's law and the right-hand rule, which state that the magnetic field is directly proportional to the current.

Therefore, The correct answer is (B). The magnetic field getting weaker is the correct answer.

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please help on this one?

Answers

I suppose the answer would be C. Kepler's three laws talk about planetary orbit.

Number c is right answer because it doesn't talk about forces rather it talks about planetary motions and orbits

Arsine, ash3 is a highly toxic compound used in the electronics industry for the production of semiconductors. its vapor pressure is 35 torr at – 111.95°c and 253 torr at – 83.6°c. using these data calculate

Answers

Answer:  a. 17.7 KJ/Mol

b. T=210K

Explanation:

Arsine, ash3 is a highly toxic compound used in the electronics industry for the production of semiconductors. its vapor pressure is 35 torr at – 111.95°c and 253 torr at – 83.6°c. using these data calculate.

the question isnt completely originally, but we could look at the likely derivation from the questions

(a) the standard enthalpy of vaporization

using the clausius clapeyron equation

In (PT1vap / PT2vap) = delta H (vap) / R ( (1/T1) - (1/T2) )

In (35Torr/253Torr) = delta H (vap) / 8.3145 ( (1/189.55) - (1/161.2) )

Therefore, Delta H (vap) = 17.7 KJ/Mol

b. Also the boiling point

What is the normal boiling point of arsine?

At the boiling point Pvap = atmospheric pressure = 1 atm=760 torr

substitution into the equation as stated in question 1

ln(760/253)=17700/8.314(1/189.55-1/T)

T=210K

Final answer:

The Clausius-Clapeyron equation is used to calculate unknown factors of the vapor pressure of arsenic. The equation is resolved using the provided pressure and temperature measurements. The result yields the enthalpy of vaporization for Arsine, a compound commonly used in the electronics industry for its ability to donate extra electrons to semiconductor conduction bands.

Explanation:

To calculate unknowns using the provided data about the vapor pressure of arsenic, you can use the Clausius-Clapeyron equation, which is a logarithmic form of ideal gas law. The equation is ln(P2/P1) = -ΔHvap/R (1/T2 - 1/T1), where P1 and P2 are the known pressures, T1 and T2 are the absolute temperatures associated with these pressures, and ΔHvap is the enthalpy of vaporization we are trying to find. We just convert the given temperatures from Celsius to Kelvin by adding 273.15 and subtract them in the equation above. After solving it, the result gives you the enthalpy of vaporization. Note that Arsenides, like Arsine (AsH3), often exhibit oxidation states of either 3+ or 3- and are used in the electronics industry as they can donate any extra electrons to the semiconductor's conduction band, thus assisting in charge conduction.

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Increase in a body of water's temperature caused by adding warmer water is called ______. A. Thermal pollution c. Convection b. Specific heat d. Thermal warming Please select the best answer from the choices provided A B C D

Answers

Increasing the water temperature by adding hot water is called thermal heating, so the correct answer is d)

Answer: Thermal pollution

Explanation:

Thermal pollution is defined as rise in the temperature of the water body in which hot water is added. It degrades the quality of water due to any process which changes the ambient temperature of water.

This is mainly caused due to water used as coolant in the power plants which is released into the nearby water bodies.

Thus, increase in the temperature of water body due to addition of warmer water is known as thermal pollution.

pitbulllover101
Rutherford's famous gold foil experiments shot heavy particles at a thin sheet of gold foil. What did he observe, and why did these observations eventually result in the addition of a nucleus to the atomic model?

Some of the heavy particles bounced off the foil, because there are positive particles spread throughout the atom.
Some of the heavy particles bounced off the foil, because there is a dense, positive area in the atom.
The heavy particles all passed straight through the foil, because the atoms are mostly empty space.
The heavy particles all bounced off the foil, because the subatomic particles have mass and volume.

Answers

Answer:

Some of the heavy particles bounced off the foil, because there is a dense, positive area in the atom.

Explanation:

As per the observation of experiment he observed that very few heavy particles in this experiment bounced off in opposite direction.

Due to this reverse direction motion we can conclude that there must be a small dense region in which there is same charge concentrated which will repel the heavy particle

This region is concluded in very small space because major proportion move out the foil without any deviation only few of the particles will return back.

So here we can say that correct option must be

Some of the heavy particles bounced off the foil, because there is a dense, positive area in the atom.

A 500n person stands in an elevator that is moving downward at a constant speed. The force that the floor exerts on the person must be

Answers

The force that the downward moving elevator floor would exert on the person would have to be 500n or greater to withhold the force of the person on the elevator. Please let me know if this helped in any way.

Answer:

Explanation:

Acceleration of the person is same as the acceleration of the elevator

So here when elevator is moving at uniform velocity so we can say that acceleration of the elevator will be zero

so net force on the person must be zero as per Newton's 2nd law

[tex]F_{net} = ma[/tex]

so here force on the person is given as

[tex]F_n - mg = ma[/tex]

here we have

[tex]a = 0[/tex]

[tex]F_n = mg [/tex]

as we know that

[tex]mg = 500 N[/tex]

[tex]F_n = 500 N[/tex]

so the floor will exert 500 N force on man

Electrical energy is used to turn the blades of a fan. The amount of energy transformed is seen here : 750 J electrical energy is transformed into 400 J kinectic energy . What happened to the remaining 350j of energy?

Answers

Final answer:

In the conversion of electrical energy into kinetic energy in a fan, 350 J out of 750 J is lost as thermal energy due to resistance and inefficiencies.

Explanation:

The 750 J of electrical energy is not entirely transformed into kinetic energy in this case. The fan only converts 400 J into kinetic energy, which is the energy that results in the fan's blades spinning. The remaining 350 J of energy is typically lost as thermal energy - this is seen in many electrical appliances where the device may start to heat up after continuous use.

This is because when electrical energy is converted into another form of energy, there is usually a certain amount of energy lost as thermal energy due to resistance and inefficiencies in the electric circuit.

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The remaining 350 J of energy is primarily converted into heat due to friction and air resistance, as well as sound energy produced by the fan.

When 750 J of electrical energy is transformed into 400 J of kinetic energy to turn the blades of a fan, the remaining 350 J of energy is not lost. According to the principle of energy conservation, energy can neither be created nor destroyed, only transformed from one form to another.

In this case, the remaining 350 J of energy is primarily converted into heat due to friction and air resistance, as well as possibly into sound energy produced by the fan.

This conversion happens because the fan's motor and mechanical components generate heat due to internal resistance and friction between moving parts. Additionally, some energy is used to produce the sound of the fan’s operation, contributing to the transformation of the original electrical energy.

Why is it important to break down a long-term physical fitness goals into short-term physical fitness goals?

Answers

In order to maintain motivation, so that you don’t quit later on

Kepler and Newton studied the movement of planets. Kepler studied the speed of the planets while Newton studied the forces that kept the planets in place. Which of these statements best explains why the two scientists proposed different theories about the planets?

They had different goals.

They studied different models.

They used different sets of data.

They misinterpreted their findings.

Answers

Answer:

They studied different models.

Explanation:

Newton's laws pertained to the study of objects based on the concepts of gravity. Forces between the planetary bodies were give by the universal law of gravitation of Newton.

Kepler's 3 laws defined the orbits  of the planets, and also a way to relate their orbital radius to their time periods and the velocity law. According to the law of speed, if a planet is close to the Sun it will move faster and if it is farther away from the sun, it slows down and will have lesser speed.

According to Newton's gravitational law , a planet that is closer to the sun experiences a greater force or gravitational pull and vice versa.

find the solution to the system of equations down below
x+y+z=-1
x-y+z=-1
x+y-z=3

A) (-2,4,-3)
B) (1/2,0,1/2)
C) (1,0,-2)
D)3/2,3/2,0)

Answers

C.

1,0,-2

you solve by substitution

x=1

y=0

z= -2

Since prehistoric times what has been the correlation between atmospheric carbon dioxide level and global temperature

Answers

Carbon dioxide is a green house gas. It absorbs the radiated temperature from earth and keep that hot condition in the atmosphere. Thus, an increase in carbon dioxide increases the global temperature.

What is global warming?

Global warming is the phenomenon of warming up of earth's surface caused by the industrial gases evolution and some human activities. Global warming is serious issue facing all over the world because its consequences are risks to the ecosystems.

The major cause of global warming is the increased level of green house gases in the atmosphere. Gases such as carbon dioxide, methane, oxides of nitrogen and sulphur etc. are called green house gases capable of intensely absorbing the temperature.

Burning of fossil fuels release carbon dioxide and hazardous hydrocarbons radiates heat energy into the earth's surface and make it warmer. Increased level of these gases results in global warming.

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The correlation between atmospheric CO2 levels and global temperature is a key aspect of Earth's climate system, and understanding this relationship is crucial for predicting and mitigating the effects of future climate change.

The correlation between atmospheric carbon dioxide (CO2) levels and global temperature has been well-documented since prehistoric times through the study of ice cores, sediment layers, and other geological records.

These studies have shown that there is a strong positive correlation between the two: as CO2 levels increase, global temperatures tend to rise, and vice versa.

The mechanism behind this correlation is the greenhouse effect. Carbon dioxide is a greenhouse gas, which means it has the ability to trap heat in the Earth's atmosphere.

Ice core samples from Antarctica, for example, have provided a detailed record of atmospheric CO2 concentrations and temperature changes over the past 800,000 years.

These samples show that during glacial periods, when the Earth was much colder, CO2 levels were lower, typically around 180-200 parts per million (ppm). In contrast, during interglacial periods, when the Earth was warmer, CO2 levels were higher, around 280-300 ppm.

How does the law of conservation of energy apply to the transformation of various forms of energy? Explain with examples.

Answers

Its meaning that energy cant be created or destroyed  it can be transformed or transferred to one form to the other.

water is stored to height with potential energy the water flows and is  its potential energy becomes kinetic energy

Answer:

Explanation:

Law of conservation of energy states that energy can neither be created nor destroyed but it can be transformed from one form to another. This law suggests that energy is transformed from one form to another but not created neither is it destroyed. Examples of the forms of energy include mechanical energy, sound energy, nuclear energy, thermal energy, chemical energy and radiant energy

For example, chemical energy is transformed into electrical energy in an electrochemical cell. Here, chemicals are used to generate electricity through a spontaneous redox reaction.

Also, mechanical energy is transformed into sound energy in a guitar. Here, the fingers slides through the strings (mechanical energy) to produce sound (sound energy).

Energy is also transformed from chemical energy into thermal energy. Exothermic reactions for instance causes chemical energy to be transformed into thermal energy. Examples of such reactions include combustion reaction and neutralization reaction.

From the above, it can be deduced that energy is indeed transformed from one form into another form.

NOTE: There are other examples involving the transformation of energy from one form to another

What is the velocity in meters per second of a runner who runs exactly 110 m towards the beach in 72 seconds

Answers

v=d/t=110/72=1.5277 m/s

Sandra moves 14 m in 2 minutes. What is Sandra’s average velocity (in m/s)?

Answers

There are 120 seconds in 2 minutes.

14m/120s = 0.12m/s

Oddly, that is not a choice available...

Yes but I'm not getting any answer that is listed. What section are you in? Is the motion something I'm unaware of?

Givens

d = 14 m

t = 2 * 60 = 120 seconds

Solution

d = r*t

14 m = r * 120 seconds

r = 14 / 120

r = 0.117 m/s

That m must mean something I'm not seeing.

Give the electron geometry, molecular geometry, and hybridization for cbr−3. give the electron geometry, molecular geometry, and hybridization for . eg = trigonal pyramidal; mg = trigonal pyramidal; sp3 eg = octahedral; mg = octahedral, sp3 eg = trigonal planar; mg = trigonal planar; sp2 eg = tetrahedral; mg = linear; sp3 eg = tetrahedral; mg = trigonal pyramidal; sp3

Answers

Answer: Electronic geometry is tetrahedral, molecular geometry is trigonal pyramidal and hybridization is [tex]sp_3[/tex]

Explanation: Formula used for calculating the no of electrons:

[tex]:{\text{Number of electrons}} =\frac{1}{2}[V+N-C+A][/tex]

where, V = number of valence electrons present in central atom i.e. carbon = 4

N = number of monovalent atoms bonded to central atom=3

C = charge of cation = 0

A = charge of anion = -1

[tex]CBr_3^{-}:[/tex]

[tex]{\text{Number of electrons}} =\frac{1}{2}[4+3-0+1]=4[/tex]

The number of electrons is 4 that means the hybridization will be [tex]sp^3[/tex] and the electronic geometry of the molecule will be tetrahedral.

But as there are three atoms around the central carbon, the fourth position will be occupied by lone pair of electrons. The repulsion between lone and bond pair of electrons is more and hence the molecular geometry will be trigonal pyramidal.

Final answer:

The CBr₃ compound has a tetrahedral electron geometry and molecular geometry because it has four regions of electron density. As a result, the carbon atom undergoes sp3 hybridization. The structure and chemical bonding of a molecule, which are indicated by its electron pair geometry, molecular geometry, and hybridization, are key in predicting its properties and reactivity.

Explanation:

The compound CBr₃ has an electron geometry and molecular geometry that are both tetrahedral due to the presence of four regions of electron density (three for the bonded Bromine atoms and one for the lone pair). This also results in the carbon atom undergoing sp3 hybridization. As a result, the electron pair geometries and molecular structures for CBr₃ are tetrahedral.

An easy way to figure this out is by using the valence shell electron pair repulsion (VSEPR) theory, where the molecular structure is largely determined by the repulsion between the electron pairs in the valence shell of the atoms in the molecule. Overall, the electron pair geometry, molecular geometry, and hybridization of a molecule provide key information about its structure and chemical bonding which are crucial to predicting its properties and reactivity.

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the research of a social physiologist Vincent Hsu determined that americans tend to fulfill their ideal of self-reliance through

A. developing personal ideals
B.rebellion against social norms
C. confirming to role models
D. strong individualism

Answers

Vincent Hsu’s research shows that Americans tend to full their ideal of self-reliance by (B) rebellion against the social norms. These are quite commonly found throughout each American generations, where counter-culture is a way for them to establish self-reliance.

Though individualism is a value that is an embodiment of American culture back then and now, it is not how Americans establish self-reliance. Nor do they develop personal ideals or confirm to a role model.

a rocket blasts off and moves away (distance is increasing) form earth. how is the rocket affected by the earths gravitational pulls as it moves further away?

Answers

the right answer is C

Which tool to study space is the LEAST expensive? A) satellite B) space probe C) ground-based telescope D) human space exploration

Answers

C ground based telescope. Think of the cost of fuel in all the other options to launch them into space. A telescope is effective here on Earth.

Answer:

C ground -based telescope

Explanation:

20 points, just need a basic understanding. You are on a mystery planet, what you know is that from a height of 10.0 meters, a dropped ball takes 0.88 seconds to hit the ground.


a. List givens

b. Calculate g

c. Determine the final velocity of the ball before striking the ground.

Answers

(since you asked for basic understanding only, I am not including actual calculations. Please let me know in the comments section if you wish to verify your solution(s))

For (b): Use the formula for distance (s) made during an accelerated motion:

[tex]s = \frac{1}{2}at^2+ v_0t+s_0= \frac{1}{2}at^2= \frac{1}{2}gt^2[/tex]

with v_0 and s_0 being the initial velocity and distance, both 0 in this case, and with "a" denoting the acceleration, in this case  solely due to gravitational acceleration so: "g."

You are given the distance made, namely 10 m, and the duration t (0.88s) and so using the formula above you can solve for g.

For (c), to determine the final velocity at time 0.88s use the formula for the instantaneous velocity of an accelerated motion

(velocity at time t) = (acceleration) x (time)  

again, with acceleration due to gravity, i.e., a = g and with g as determined under (b).  

If my calculation is correct, this mystery planet could be the Jupiter.


What is the centripetal acceleration of a small Laboratory Centrifuge in which the tip of the test tube is moving at 19.0 meters per second in a circle with a radius of 10.0 cm

Answers

Answer:

3610 m/s^2

Explanation:

The centripetal acceleration of the tip of the test tube is given by:

[tex]a=\frac{v^2}{r}[/tex]

where

v = 19.0 m/s is the velocity of the tip

r = 10.0 cm = 0.1 m is the radius of the circular trajectory of the tip

Substituting the numbers into the formula, we find

[tex]a=\frac{(19.0 m/s)^2}{0.1 m}=3610 m/s^2[/tex]

The density of an object has the equation d = m/v. If an object has a mass of 2.5 g and a volume of 1.3 cm^3, what is its density?

A. 0.59 g/cm^3

B. 3.8 g/cm^3

C. 1.93 g/cm^3

D. 1.2 g/cm^3

Answers

Equation

d = m/v

Givens

m = 2.5 gramsV = 1.3 cm^3d = ??

Solution

d = m/vd = 2.5 / 1.3d = 1.92 g/cm^3

Answer C

Beth exerts 14 N of force to propel a 4.5 kg bowling ball down the lane. Describe how the ball will travel

Answers

It will have a certain kinetic energy at the beginning, but it will be lost by resistant work done by friction. Thus, itsmotion wil be uniformly decelerating.

The ball will accelerate at a rate of 3.11 m/s² and the ball will travel an accelerated motion.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

Given parameters:

Mass of the ball: m = 4.5 kg.

Force exerted on it: F = 14 N.

From Newton's second law of motion: it can be written that:

Applied force = mass of the object × acceleration of the object

acceleration = force/mass

= 14 N/4.5 kg

= 3.11 m/s².

Hence, the ball will accelerate at a rate of 3.11 m/s² and the ball will travel an accelerated motion.

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The position equation for a particle is s of t equals the square root of the quantity 2 times t plus 1 where s is measured in feet and t is measured in seconds. find the acceleration of the particle at 4 seconds. 3 ft/sec2 one third ft/sec2 negative 1 over 27 ft/sec2 none of these

Answers

Final answer:

The acceleration of the particle at 4 seconds is -1/15 ft/sec².

Explanation:

The position equation for the particle is s(t) = √(2t+1). In order to find the acceleration at t = 4 seconds, we need to differentiate the position equation twice with respect to time, t. First, differentiate the position equation to find the velocity equation, v(t). Then, differentiate the velocity equation to get the acceleration equation, a(t). Finally, substitute t = 4 into the acceleration equation to find the acceleration of the particle at 4 seconds.

Step 1: Differentiate s(t) with respect to t to find v(t)
v(t) = d/dt(√(2t+1)) = 1/(2√(2t+1)) * d/dt(2t+1) = 1/(2√(2t+1)) * 2 = 1/√(2t+1)

Step 2: Differentiate v(t) with respect to t to find a(t)
a(t) = d/dt(1/√(2t+1)) = (-1/2)(2t+1)^(-3/2) * d/dt(2t+1) = (-1/2)(2t+1)^(-3/2) * 2 = -1/(t+1)√(2t+1)

Step 3: Substitute t = 4 into a(t)
a(4) = -1/(4+1)√(2(4)+1) = -1/5√9 = -1/5 * 1/3 = -1/15 ft/sec²

Therefore, the acceleration of the particle at 4 seconds is -1/15 ft/sec².

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Final answer:

To find the acceleration of a particle, we first and second derivative of the position equation. Substituting time t=4s into this equation yields the acceleration: -1/108 ft/sec², which is not among the given options.

Explanation:

To find the acceleration of a particle whose position equation is given, it's necessary to compute the first and second derivatives of s with respect to t. In this case, the equation is s(t) = sqrt(2t+1). Its derivative, v(t), represents the velocity of the particle, and the derivative of v(t) gives a(t), the acceleration.

First find the derivative of s(t):

v(t) = ds/dt = 1 / 2*sqrt(2t+1)

Then, find the second derivative, which will yield the acceleration:

a(t) = dv/dt = -1 / 4*(2t+1)^(3/2)

By substituting t=4s into the acceleration equation a(t), we get a(4) = -1/108 ft/sec², which reduces to approximately -0.00926 ft/sec². Therefore, the correct answer is none of the given options.

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