An object of mass m=2 kg has a position given by r = (3+7i + 8t^3) where t is the time in seconds and the units on the numbers are such that the position components are in meters. Assume all numbers are exact (for instance, m=2 kg means m= 2.00000…kg ) At t=1 s, what is the magnitude of the acceleration on this object, in units of m/s^2 ? Enter the numerical answer without units. Your answer must be within 1% of the exact answer to receive credit.

Answers

Answer 1

The magnitude of the acceleration of the object at t = 1 second is \(48 m/s^2\).

To find the magnitude of the acceleration of the object at t = 1 second, we need to differentiate the position function twice with respect to time.

Given that the position vector\(r = (3 + 7i + 8t^3)\), we can differentiate it once to obtain the velocity vector v:

\(v = dr/dt = (0 + 0i + 24t^2)\)

Next, we differentiate the velocity vector v with respect to time to obtain the acceleration vector a:

\(a = dv/dt = (0 + 0i + 48t)\)

Substituting t = 1 second into the expression for acceleration, we have:

\(a = 48 * 1 = 48 m/s^2\)

Therefore, the magnitude of the acceleration of the object at t = 1 second is \(48 m/s^2\).

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Related Questions

An adult inhales about 6.0×10^−4 m^3 of fresh air during a breath. only 20% of fresh air is oxygen. assume the pressure in the lungs is 1.0×10^5 pa and the air is at a temperature of 300 k. How many oxygen molecules are in each breath?

Answers

Number of oxygen molecules in each breath is 2.9X10^21

Given that the volume of air inside a breath (V) = 6.0×10^−4 m^3

oxygen in fresh air = 20%

volume of oxygen in fresh air = 20/100 x 6.0×10^−4 = 1.2x10-4m^3

pressure in the lungs (P)=  1.0×10^5 pa

Temperature of air (T) =300K

Using ideal gas equation find the number of moles of oxygen

PV = nRT

Then n = 1.0×10^5 x  1.2x10-4 / 8.314 x 300 = 4.8x10-3mol

We know the number of molecules in 1 mol is 6.023x10^23

Then the number of molecules in 4.8x10-3mol of oxygen is =

4.8x10-3molx 6.023x10^23 = 2.9x10^21

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Bio is a root word that means
O heart.
O life.
O cell.
O sugar.

Answers

Life darling
☆*:.。. o(≧▽≦)o .。.:*☆
B. It means LIFE. Hope this helps.

Alejandro has collected over 35 studies focusing on the impact of vitamin C on a person's cold duration. He hopes to combine these findings and draw a general conclusion regarding the usefulness of the vitamin. Alejandro is using the statistical tool of:

Answers

Since Alejandro hopes to combine the findings from the collected studies and draw a general conclusion regarding the subject, he is using statistical tool of inference.

There are basically 2 types of statistical tools:

Descriptive statistical toolsInferential statistical tools

Descriptive tools are used to describe data. They include the use of tables, graphs, measures of dispersion, measures of central tendencies, etc.

Inferential tools are used to deduce conclusions from data. They include measures of significant differences, probability, correlation and regression, etc.

In this case, Alejandro would need to subject the data collected from the 35 studies to inferential statistical analysis tools in order to be able to make relevant conclusions.

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this photo shows apparatus used in an experiment in which materials thought to have been present on the early earth were sparked with energy. what have we learned from this type of experiment?

Answers

These experiments have shown that the building blocks of life form easily and naturally under conditions that existed on early Earth.

Who proposed the idea of the nebular hypothesis?

The generally accepted model for the formation of the solar system is called the nebular hypothesis. It takes all the different kinds of information and merges them into one hypothesis that seems to match all the observations. The theory was proposed by French mathematician Pierre Simon Laplace more than 200 years ago.

What is astrobiology and what type of research does it involve?

Astrobiology is the study of life within the universe. Astrobiologists study how life forms and develops, and where life can be found. Astrobiology involves the search for life outside Earth, the study of planets and moons within our Solar System, and the search for habitable planets around other stars.

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As light from a star spreads out and weakens, do gaps form between the photons?

Can momentum be hidden to human eyes like how kinetic energy can be hidden as heat?​

Answers

Answer:

This is one of  the mysteries  of quantum mechanics - a  single photon in classical mechanics is sent out in a circular arc - but when the arc interacts with a distant object the entire wave front collapses and delivers the entire energy of the photon to the object in question.

An analogy has been give as a pop  bottle thrown into the water in New York with its energy spreading out in a circular arc and at some time later  the wave front strikes a pop bottle in the water in Japan with the result of the wave front delivering its entire energy to the bottle with the bottle jumping out of the water.

Which climate favors mechanical weathering?

Answers

Cold climate favors rapid mechanical weathering, since the cold seasons cause the rock to contract.

What is mechanical weathering and what climate they favour?

Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water can seep through fractures and fissures in rock.

Cold climates promote mechanical weathering because they force rocks to contract and compress during the colder months. The rocks degrade and break at higher temperatures. Temperature fluctuations cause the expansion and contraction of rock (with cold). As this continues repeatedly, the structure of the rock deteriorates. It breaks down over time.

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exercice 14 page 49 physique chimie seconde

Answers

Answer:

Explanation:

Exercise 14 page 49 of Physics and Chemistry for Secondary School asks students to calculate the mass of a sample of magnesium if the volume is given.

To calculate the mass of a sample of magnesium from the volume, we need to use the formula:

Mass = Volume x Density

Where Density is the density of the material, in this case magnesium. The density of magnesium is 1.74 g/cm3.

So, the mass of the sample of magnesium can be calculated as:

Mass = Volume x Density

Mass = 6.7 cm3 x 1.74 g/cm3

Mass = 11.658 g

Trina conducted an experiment to determine the average amount of salt in 1 liter of ocean water by allowing the water to evaporate and measuring the remaining salt.

Her results are shown below.
Trial Salt
1 9.9 g
2 14.2 g
3 8.7 g
4 13.4 g
What is the mean weight of the salt precipitate?
A.
46.2 g
B.
11.7 g
C.
11.3 g
D.
11.5 g

Answers

Answer:

The answer is . A 46.2g

Alondra applies 24 N of force to the end of a stick (a type of lever) to open a can of paint.
The lid resists with 6 N of force. What is the mechanical advantage?

Answers

Answer:

1/4

Explanation:

Mechanical Advantage = Load/Effort

Given

Effort applied = 24N

Load = 6N

Substitute

MA = 6/24

MA = 1/4

Hence the mechanical advantage is 1/4

Answer:

4

Explanation:

24n/6n=4

how are the variables speed and velocity different? how are they similar

Answers

Speed, (scalar quantity), is the rate at which an object covers distance. The average speed is the distance (scalar quantity) per time ratio. Velocity is the rate at which the position changes. The average velocity is the displacement or position change (vector quantity) per time ratio.

If the density of freshwater is 1.000g/cm^3 and salt water is
1.025 g/cm^3, what is the ratio of z to h

Answers

The ratio of z to h can be determined by comparing the densities of freshwater and saltwater. The density of a substance is defined as its mass per unit volume.

In this case, the density of freshwater is given as\(1.000 g/cm^3\), while the density of salt water is given as \(1.025 g/cm^3\). To find the ratio of z to h, we need to consider the relationship between density and volume. The density of a substance can be expressed as the ratio of its mass to its volume.

Let's assume z and h represent the volumes of freshwater and saltwater, respectively. Since density is constant for each type of water, we can set up the following equation:

\(1.000 g/cm^3\) (density of freshwater) = \(1.025 g/cm^3\) (density of saltwater)

By canceling out the units, we get:

\(1.000 (g/cm^3) = 1.025 (g/cm^3)\)

Since the densities are equal, we can conclude that the ratio of z to h is 1:1.

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Which lists imaging techniques that use wave behaviors in order of increased risk of cancer from least risk to greatest

Answers

Imaging techniques that use wave behaviors are -

sonographyX-ray radiographyCT scanHow can mechanical waves help in the treatment of cancer?


Ultrasound is used to improve absorption of a radioactive pellet by a tumor. The radioisotope in a radiopharmaceutical releases sound waves into surrounding cells. Beams of X-rays are targeted at a cancerous tumor from outside the body.

How can mechanical waves help the treatment of cancer?

HIFU is a cancer treatment that uses high-frequency sound waves. You have HIFU from a machine. The machine gives off the sound waves which deliver a strong beam to a specific part of a cancer. This heats and destroys the cancer cells.

HIFU can treat a single tumour or part of a large tumour. But it is not suitable for people with cancer that has spread to more than one place in their body.

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PLEASE HELP THIS TEST IS DUE IN TEN MINS

Which phrase describes a scientific law?

A. A statement of how the volume of a gas is related to its
temperature

B. A prediction of the volume of a gas under special circumstances

C. A claim that the volume and temperature of a gas are unrelated

D. An explanation for why the volume of a gas depends on its
temperature

Answers

Answer:

A. A statement of how the volume of a gas is related to its temperature.

The gray whale travels an average of 120 km per day as it migrates

Answers

A gray whale travels an average of 120 km per day as it migrates is an example of Speed.

Speed is the ratio of distance to time taken. It is given by:

Speed = Distance / time

Speed is a scalar quantity, hence it has magnitude and no direction.

Hence, A gray whale travels an average of 120 km per day as it migrates is an example of Speed since the direction of the whale is not given.

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8. A railroad car slams into another railroad car
and couples together. What is the combined
speed of the railroad cars after the collision?
M=4000 kg
v=2 m/s
Before
After
M=6000 kg
v=0m/s

Answers

Answer:

the combined speed of the two railroad cars after the collision is 4/3 m/s.

Explanation:

The combined speed of the two railroad cars after the collision can be calculated using the conservation of momentum principle.

Let's assume the combined speed of the cars after the collision is v'. Then, using the equation for momentum, p = m * v, where m is the mass of each car and v is the velocity of each car, the momentum of each car before and after the collision can be calculated as:

Before the collision:

m1 = 4000 kg, v1 = 2 m/s

p1 = m1 * v1 = 4000 kg * 2 m/s = 8000 kg m/s

After the collision:

m2 = 6000 kg, v2 = 0 m/s

p2 = m2 * v2 = 6000 kg * 0 m/s = 0 kg m/s

Since momentum is conserved, the momentum before the collision must equal the momentum after the collision:

p1 = p2

So,

8000 kg m/s = 6000 kg * v'

Solving for v', we find that:

v' = 8000 kg m/s / 6000 kg = 4/3 m/s

Therefore, the combined speed of the two railroad cars after the collision is 4/3 m/s.

much like a battery these generate electricity from chemical events

Answers

The term you are looking for is "chemical battery". Chemical batteries work by converting chemical energy into electrical energy through a series of chemical reactions. These reactions take place within the battery's cells, which are composed of two electrodes and an electrolyte.

When the battery is connected to a circuit, the chemical reactions produce an electrical current that can be used to power devices. Chemical batteries are widely used in many applications, including consumer electronics, electric vehicles, and renewable energy systems. They are a crucial component of our modern technological society, and ongoing research is focused on developing more efficient and sustainable battery technologies to meet growing energy demands.

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he first right-hand rule relates which two quantities?
A.
current (thumb) to magnetic field (fingers)
B.
magnetic field (thumb) to current (fingers)
C.
current (thumb) to force (fingers)
D.
force (thumb) to current (fingers)
Reset Next

Answers

Answer: A.

current (thumb) to magnetic field (fingers)

Answer:

A. current (thumb) to magnetic field (fingers)

Explanation:

According to the Right-Hand Thumb rule, if we are holding a current- carrying straight conductor in our right hand such that the thumb points toward the direction of current, then the fingers will wrap around the conductor in the direction of the field lines of the magnetic field.

Hope it helps.

If you have any query, feel free to ask.

17.Shenna is observing two mineral samples in science class. He records his observations of the

samples in

the table below,

Minerals

Pyrite

Description

cubic crystals

Mica

breaks into thin sheets

Which property of the samples has Shenna recorded?

A. cleavage

B. hardness4

C. luster

D. streak

Answers

Shenna has recorded the property of cleavage. Cleavage refers to the tendency of a mineral to break along flat, smooth planes due to its internal structure.structure.So,The correct option would be (A) Cleavage.

Cleavage is a property that describes how a mineral breaks along planes of weakness, resulting in smooth, flat surfaces. It is one of the key characteristics used to identify and classify minerals.

In the given observations, Shenna noted that the mineral sample called "Mica" breaks into thin sheets. This characteristic indicates that Mica exhibits cleavage. When Mica is subjected to stress or force, it breaks along flat planes, resulting in thin, sheet-like fragments.

On the other hand, Shenna described the mineral sample called "Pyrite" as having cubic crystals. While this information is valuable for identifying Pyrite, it does not pertain directly to the property of cleavage.

Shenna has recorded the property of cleavage based on his observation that the mineral sample called "Mica" breaks into thin sheets.sheets.Hence the correct answer is Cleavage. Cleavage refers to the tendency of a mineral to break along flat, smooth planes due to its internal structure.

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explain the various aspects of few medical based profession​

Answers

Answer:

doctor,health assistant , dentist, psychotherapist , nurse ,etc

How do you un rewrap something?

Answers

wrap it back up……….

why do compass needles around a current carrying wire point in different directions

why do compass needles around a current carrying wire point in different directions

Answers

Answer: because of the magnetic

Explanation:  If you hold a compass near a wire through which current is flowing, the needle on the compass will be deflected. Since compasses work by pointing along magnetic field lines, this means that there must be a magnetic field near the wire through which the current is flowing.

Sometimes, a crackling sound is heard while taking off a sweater during winters. Explain

Answers

Answer:

it is somewhat frozen

Explanation:

A swimmer accelerates 4 m/s² while applying a force of 20N. What is the swimmer’s mass?
0.2 kg
5 kg
80 kg
80 pounds ​

Answers

The mass is equal to 5 kg.

on planet x, a 5.0 * 10^1 kg barbell can be lifted by exerting a force of only 180 n. what is the acceleration of gravity on planet x? if the same barbell is lifted on earth, what minimal force is needed?

Answers

Using the concepts of motion, we got that  is the acceleration of gravity on planet x in which  a 5.0 * 10^1 kg barbell can be lifted by exerting a force of only 180N.Minimal force needed in earth is   N.

We know very well that rate of change of momentum in per unit time is equal to the Force according to newton second law.

It means

F=dp/dt or in other words,we know that this F=ma

where m is the mass of the body and a is the acceleration.

So, in planet X, we are given that applied force is 180N and mass of the object is 50 kg

So applying the formula

=>F=ma

=>180=50×a

=>a=50/180

=>a=0.277m/s²

Now, the minimum force needed to lift the same object in earth is given by the same formula

=>F=ma but here a is gravity whose value is equal to 9.8

=>F=50×9.8

=>F=490N

Hence, on planet x, a 5.0 * 10^1 kg barbell can be lifted by exerting a force of only 180 n, the acceleration of gravity on planet x is 0.277m/s² and if the same barbell is lifted on earth, minimal force is needed is 490N.

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I WILL GIVE BRAINLIEST
Lila is a track and field athlete. She has to complete four laps around the track, which is 400 meters. The race took her 6 minutes to complete. What is her average speed to the first decimal point in m/s?

Answers

Answer:

4.44m/s

Explanation:

Average speed is the total distance covered within a given period of time.

From the quantities given;

Number of laps  = 4 laps

Length of each lap  = 400m

Time taken to complete race  = 6minutes

Unknown:

Average speed  = ?

Solution:

 Her average speed is given as:

      Average speed  = \(\frac{number of laps x length of lap}{time}\)

We need to convert time to seconds;

         60s  = 1 min;

        6 minute = 60 x 6  = 360s

  Average speed  = \(\frac{4 x 400}{360}\)   = 4.44m/s

What happens to the temperature during an endothermic reaction? ANSWERS; The temperature stays constant. The temperature will decrease (get colder). The temperature will increase (get warmer)

Answers

Answer:

The temperature will decrease (get colder).

Explanation:

Enthalpy changes are heat changes accompanying physical and chemical changes. The enthalpy change is the difference between the sum of the heat contents of products and the sum of heat contents of reactants.

For an endothermic change, heat is absorbed for the reaction. The surrounding becomes colder at the end of the reaction and so is the reaction itself. The right choice is that the temperature will decrease.

How is capacitance related to the distance between the plates of a capacitor?

It is directly proportional, so the capacitance increases as the distance increases.
It is inversely proportional, so the capacitance increases as the distance increases.
It is directly proportional, so the capacitance decreases as the distance increases.
It is inversely proportional, so the capacitance decreases as the distance increases.

Answers

Answer:C

Explanation: I studied, and C is correct

Answer:

D

Explanation:

an asronaut on a planet having no atmosphere throws a stone of mass m vertically upwards with velocity 10 m/s. It reaches maximum height of 10 m. If another stone of mass 2m is thrown upwards with velocity 20 m/s, the maximum height reached will be

Answers

Answer:

2.5m

Explanation:

M1V1H1=M2V2H2

m1=m, m2=2m, v1=10m/s, v2=20m/s, h1=10, h2= ?

h2= 100×m/20×2m= 2.5m

The driver of a car slams on the brakes, causing the car to slow down at a rate of 24.0ft/s2 as the car skids 125ft to a stop.


How long does the car take to stop?

What was the car's initial speed?

Answers

The time it takes the car to stop is 1.34 s.

The initial speed of the car is 77.46 ft/s

The given parameters;

acceleration of the car, a = 24 ft/s²

distance traveled by the car, s = 125 ft

The initial speed of the car is calculated as;

When the car stops, the final velocity will be zero,

\(v^2 = u^2 + 2as\\\\0 = u^2 + 2(-24\times 125)\\\\u^2 = 6000\\\\u = \sqrt{6000} \\\\u = 77.46 \ ft/s\)

The time taken for the car to stop is calculated as;

\(s = ut + \frac{1}{2} at^2\\\\125 = 77.46t + 0.5\times 24\times t^2\\\\125 = 77.46t + 12t^2\\\\12t^2 + 77.46t - 125 = 0\\\\solve \ the \ quadratic \ equation \ using \ formula \ method;\\\\a = 12, \ b = 77.46, \ c = - 125\\\\t = \frac{-b \ \ +/- \ \ \sqrt{b^2 - 4ac} }{2a} \\\\t = \frac{-77.46 \ \ +/- \ \ \sqrt{(77.46)^2 - 4(12\times -125)} }{2(12)}\\\\t = 1.34 \ s\)

Thus, the time it takes the car to stop is 1.34 s.

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6. What is the potential energy of your 3 kg puppy that is sitting in the grass in your backyard?

Answers

Answer:

The answer is 0 J

Explanation:

Mass=3

Acceleration= 9.8

Height=0

The eqation is \(3(9.8)(0)\) or \(3*9.8*0\)

and if you do the math it adds up to 0 J

The potential energy of your 3 kg puppy that is sitting in the grass in your backyard would be 0 Joules .

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy .

ME = PE + KE

As for the given problem, we have to find out what the potential energy of your 3 kg puppy that is sitting in the grass in your backyard,

The potential energy of the puppy = m × g × h

                                                  = 3 × 9.8 × 0

                                                  = 0

Thus , the potential energy of your 3 kg puppy that is sitting in the grass in your backyard would be 0 Joules .

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Lymph traveling from the left arm would enter the venous circulation via the? what answer describes the average parentA)niceB)self ishC)du mbD)doesn't care bout there kid The water level of a river is 40 feet. The water level is receding at a rate of 0.5 foot per day. In how many days will the water level be 35 feet? Glucose is broken down in most of your cells to form carbon dioxide, oxygen, and the energy currency of the cell called atp. what type of chemical reaction is this? Can anyone pls help?? Which particulate representation could be used to describe the species present in the reaction vessel after the process has gone to completion come up with your own relationship recipe. Incorporate all the ingredients (qualities) that you think are important in a healthy relationship. Please follow a format of a real recipe. There are ingredients and then instructions.Please make sure you put quantities and instructions on what to do with the ingredients. here is an example. Please do not copy this example Relationship Recipe A short H-profile column supports a certain load which causes a compressive stress of 140MPa at the base. The square base plate with 800 mm sides is fixed to the top tier. The foundation is square and has side lengths of 3 m each. The top tier consists of three parallel flange I-sections of 45719198,3 kg/m. The allowable bending stress in the beams is 180MPa. The weight of the foundation is 200kN and the allowable ground bearing pressure is 200kPa. Calculate the following: .1. The maximum bending moment allowed 2. Select the H-profile required for the column and then calculate the actual stress at the base 3. The minimum number of 30516540,5 kg/m parallel flange I-sections required in the bottom tier 2.4 The actual bending stress in the I-sections in the bottom tierPrevious question When researching fund managers, which of the following statements is CORRECT?A You would generally expect the qualitative findings to be reflected in the quantitative results.B You would generally expect the qualitative findings to conflict with the quantitative results.C You should look at the qualitative findings separately to the quantitative results.D You should test qualitative and quantitative results with sensitivity analysis. CAN ANYONE HELP MY GRADES ARE KINDA LOW AND I NEED TO SLOVE THIS SO I CAN BOOST UP MY GRADES OutputAInput135OutputBlueInput123BlackOutputInputAQOutputHeartDiamondClubInputNEswESpadew The person with more muscle looks trimmer because muscle is dense than fat, thus taking up less space than fat. True or false? The main ingredients for Kaylas banana bread recipe are 2 1/3 cups of flour, 3/4 cup of sugar? And 1 1/2 cups of mashed bananas. How many more cups of dry ingredients (flour and sugar) then wer ingredients (bananas) go into Kaylas banana bread? Explain Which is bigger -2.5 or -3/1 You and your husband chose is this love by bob marley as your first dance at your wedding. Now, whenever you hear the song you feel happy. What is the conditioned stimulus?. HelpppPleaseI need help Use the graphic organizer to explain different ways to represent data. what is the relationship between unethical politicking and impression management? group of answer choices impression management may be the motive for unethical politicking. unethical politic QUICK I NEED HELP! I WILL MARK BRAINLIEST! What do you see in the garden? An important point about _____________ is that they are short-lived features on the geologic time scale.