At t= 0, a particle moving in the xy plane with constant acceleration has a velocity of Vi= (3.00i -2.00j) m/s and is at the origin. At t= 3.00 s, the particle's velocity is V = (9.00i + 7.00j) m/s . Find (a) the acceleration of the particle and (b) its coordinates at any time t.

Answers

Answer 1

Answer:

(a) a = (2i + 4.5j) m/s^2

(b) r = ro + vot + (1/2)at^2

Explanation:

(a) The acceleration of the particle is given by:

[tex]\vec{a}=\frac{\vec{v}-\vec{v_o}}{t}\\\\[/tex]

vo: initial velocity = (3.00i -2.00j) m/s

v: final velocity = (9.00i + 7.00j) m/s

t = 3s

by replacing the values of the vectors and time you obtain:

[tex]\vec{a}=\frac{1}{3s}[(9.00-3.00)\hat{i}+(7.00-(-2.00))\hat{j}]\\\\\vec{a}=(2\hat{i}+4.5\hat{j})m/s^2[/tex]

(b) The position vector is given by:

[tex]\vec{r}=\vec{r_o}+\vec{v_o}t+\frac{1}{2}\vec{a}t^2[/tex]

where vo = (3.00i -2.00j) m/s and a = (2.00i + 4.50j)m/s^2


Related Questions

In a parallel circuit that has the same number and type of resistors as a series circuit the total resistance will be __________ and the total current will be ________. A.greater;greater B.lower;greater C.greater;the same D.the same;lower

Answers

Answer:

B. lower, greater

...............

The answer is B:) hope that helps

ASSIGNMENT

1. A resistance of 6ohms is connected in series with another of 3ohms. If a potential difference of 9V is applied across the combination, what is the p.d. across the 6ohms resistance.

Answers

Answer:

Equivalent resistance in series = 6 + 3 = 9 ohms

Current = V/R (ohm's law)

Current = 9/9 = 1 A

P.D. across 6 ohms = IR (ohm's law)

= 1A × 6Ω = 6V

Two similar metal spheres, A and B, have charges of +2.0 x10 –6 coulomb and +1.0 x10 –6 coulomb, respectively, as shown in the diagram below. What is the charge on each sphere after the spheres make contact and are then separated?

Answers

Answer:

+1.5×10^-6C

................

When the energy stored in the object is released it will turn into —————— energy.

Please fill in the blank.

Please someone answer this!! It’s my second time posting it!!!

Answers

Answer:

kinetic energy

Explanation:

Potential energy is stored energy.Kinetic energy is energy that a body possess as a result of its motion.

Gravitational potential energy is the energy stored in an object as the result of its height. The energy is stored as the result of the gravitational attraction of the Earth for the object

Why is friction a problem in space travellers​

Answers

The answer is gravitational:)

A way of showing how energy moves through an ecosystem _________

Answers

Explanation:

Plants, as a autotrophs have chlorophyll to capture light energy from sun to make starch and sugar. Then, consumers eat plants, and the sugar is transferred to higher trophic level in a form of organic food. Nevertheless, energy is lost by uneaten food, indigestible food, unabsorbed food, excretory waste (eg co2) and heat loss by respiration.

Answer:

The Food Chain

Explanation:

The food chain is conducted of a web connected to three classifications. Each transfering energy to one a other when nutrients and living matter is passed from producers (one class) to consumers (another class), and is broken down by the decomposers (third class) lastly.

What does an electromagnet do?
Name five (5) things.

Answers

Answer:

it is used on hard disk drives, speakers, motors, mri machines, and generators

Explanation:

there ya go

Muitos remédios são tomados em doses menores que o mg. Um comprimido de certo remédio tem 0,025 mg de uma certa substância. Com 1 kg desta substância, quantos comprimidos podem ser feitos?

Answers

Answer:

Explanation:

The question is asked in portuguese

Hence, it will be answered in portuguese

1kg = 1000g

e

1 g = 1000mg

então

1 kg = 1 x (1000 x 1000)

1 kg = 1x 1.000.000

1 kg = 1.000.000mg

assim

 1 comprimido -------------> 0,025 mg

 x  comprimido ------------> 1.000.000 mg   ( só cruzar)

0,025(x) = 1(1.000.000)

0,025x = 1.000.000

x = 1.000.000/0,025

x = 40.000.000

1kg são feitos 40.000.000( Quarenta milhões de comprimidos)

The distance that sound waves travel in a given amount of time
is the
of sound.

Answers

Answer:

Speed of Sound

Explanation:

what is the definition of the speed of sound?

The speed of sound can be defined as the distance that sound waves travel in a given amount of time

Sound travels at different speeds depending on what it is traveling through. Of the three mediums (gas, liquid, and solid) sound waves travel the slowest through gases, faster through liquids, and fastest through solids.

The speed of sound in dry air  is 343 meters per second.

how mny hours does it takes you to travel by foot from australia to fiji

Answers

Answer:

About 22 hours in flight time.

Explanation:

It wouldn't give me the walking time.

Hope I helped ya.

< Sarah >

Answer:

Hmm idk u was tryna take the trip or sum

Explanation:

A spring is 14cm long. Three masses are hung from it and then it is measured again. Now it is 19.5cm long. What force did the three masses provide? The spring constant for the spring is 30N/m.

Answers

Answer:

Gravity

Explanation:

The answer is gravity because when the 3 masses were hung from the spring, gravity pulled the spring towards the ground.

A ray of light strikes a plane mirror at an angle of incidence 35°. If the mirror is rotated through 10°.
i. what is the angle of reflection before rotating the mirror?
ii. through what angle is the reflected ray rotated?
iii. what is the angle between the incidence ray and the new reflected ray?

Answers

Answer:

1 35°

2 20°

3 50°

..............

De acordo com a sequência de substâncias listada na tabela ao lado, se atritarmos vidro com lã, o vidro ficará carregado positivamente. Qual será a carga da madeira quando atritada com: a) lã b) seda c) marfim

Answers

Answer:

a) Wood is positively charged when rubbed with wool.

b) Wood is positively charged when rubbed with silk.

c) Wood is negatively charged when rubbed against ivory.

a) A madeira é carregada positivamente quando esfregada com lã.

b) A madeira é carregada positivamente quando esfregada com seda.

c) A madeira é carregada negativamente quando esfregada contra o marfim.

Explanation:

English Translation

According to the sequence of substances listed in the table opposite, if we rub glass with wool it will be positively charged. what will be the charge of the wood when rubbed with a) wool? b) silk? c) ivory?

Solution

What will happen when two materials are rubbed on each other is due to the sequence on the static electricity table, with the materials arranged based on their tendencies to rub off electrons from one another.

Materials lower on the table can rub off electrons from materials higher on the table, thereby making the higher material positively charged.

a) Wood and Wool

Wood is higher than wool on this table, hence, wool easily rubs off electrons from the surface of the wood and leaves the wood with an overall more positive charges. Wood is positively charged after this.

b) Wood and Silk

Wood is higher than silk on this table, hence, silk easily rubs off electrons from the surface of the wood and leaves the wood with an overall more positive charges. Wood is positively charged after this.

c) Wood and Ivory

Wood is lower than ivory on this table, Hence, wood rubs off electrons from the surface of the ivory material and the overall charges on the wood is more negative. Wood is negatively charged after this.

In Portugese/Em português

O que acontecerá quando dois materiais forem esfregados um no outro é devido à sequência na tabela de eletricidade estática, com os materiais organizados com base em suas tendências de esfregar elétrons um do outro.

Os materiais mais baixos da mesa podem remover elétrons dos materiais mais altos da mesa, tornando o material mais alto carregado positivamente.

a) Madeira e lã

A madeira é mais alta que a lã nesta tabela; portanto, a lã retira facilmente elétrons da superfície da madeira e deixa a madeira com uma carga geral mais positiva. A madeira é carregada positivamente depois disso.

b) Madeira e seda

A madeira é mais alta que a seda nesta tabela; portanto, a seda retira facilmente elétrons da superfície da madeira e deixa a madeira com uma carga geral mais positiva. A madeira é carregada positivamente depois disso.

c) Madeira e Marfim A madeira é mais baixa que o marfim nesta tabela. Portanto, a madeira elimina elétrons da superfície do material de marfim e as cargas gerais na madeira são mais negativas. A madeira é carregada negativamente depois disso.

Hope this Helps!!!

Espero que isto ajude!!!

At what angle should two mirrors inclined to produced 10
images during reflection of a body?

Answers

Answer:

36°

Explanation:

let n=10 images

n=360/theta

10=360/theta

theta=360/10

theta=36°

hope you help this

mark me as BRAINLIEST

In 1825, French scientist François-Vincent Raspail became the first scientist to observe that every cell is produced through cell division. How is cell division different in single-celled organisms than in multi-celled organisms? A. Single-celled organisms duplicate their genetic material twice during cell division. B. Cytokinesis divides single-celled organisms into three daughter cells. C. There is no metaphase for single-celled organisms. D. Cell division results in reproduction in single-celled organisms.

Answers

Answer:  A.

Single-celled organisms duplicate their genetic material twice during cell division

Explanation:

All multicellular organisms use cell division for growth and the maintenance and repair of cells and tissues. Single-celled organisms use cell division as their method of reproduction. Somatic cells contain two copies of each of their chromosomes (one copy from each parent).

Answer:

Cell division results in reproduction in single-celled organisms. The correct option is D.

Explanation:

Single celled organism which are equally known as unicellular organisms are organisms which are made up of one cell. Due to the simplicity of the structure of these organisms, reproduction can be achieved through cell division.

Multicellular organisms as the name implies is made up of multiple cells,unlike unicellular organisms, which are to varying degrees integrated and independent.

Every cell is produced through cell division.

Cell division results to reproduction in single-celled organisms while cell division aids in the formation of gametes, which are cells that combine with others to form sexually produced offspring. It is also responsible for the development of a multi-celled organism from a single fertilised egg cell.

If a 12 V battery is connected to a light bulb with a resistance of 2 ohms, how much current will flow through the light bulb?
Group of answer choices

A. 24 Watts

B. 0.5 amps

C. 6 amps

D. 6 ohms

Answers

Answer:

6amp

Explanation:

From Ohm's Law

V = IR

Where V = 12volts, R = 2ohms

12volts = I × 2ohms

I = 12/2

I = 6amp

The current flowing through the light bulb is 6amp

How does increasing the prong angle affect the launch angle and initial speed of the projectile?

Answers

Answer:

48.41 m/s

Explanation:


Determining the pH of substances such as purple grape juice and catsup using test strips can be difficult. Why?

Answers

Answer:

Because they would naturally dye the test strips in the colors violet and red, regardless of their pH values

(would really appreciate the brainliest)

Answer:

they are naturally dark/dying the strips.

Explanation:

of the ball is
As the object falls off the roof of a tall building_______
turning into______

A) chemical potential energy; gravitational potential energy .
B) gravitational energy; kinetic energy .
C) chemical potential energy; kinetic energy.
D) kinetic energy ;gravitational potential energy.

Answers

Answer:b

Explanation:

velocity of a falling object increases.

so Kinetic energy of a falling object increases

height of a falling object from the ground decreases.

so the potential energy of a falling object decreases

Define 1 kg of mass as international standard​

Answers

The kilogram is the Standard International System of Units unit of mass. It is defined as the mass of a particular international prototype made of platinum-iridium and kept at the International Bureau of Weights and Measures.

Answer:

1 kg is defined as the mass of a cylindrical Platinum iridium alloy whose height is equal to its diameter

2. An 85.0 kg cart is rolling along a level road at 9.00 m/s. The cart encounters a hill and coasts up the hill. a) Assuming the movement is frictionless, at what vertical height will the cart come to rest? b) Do you need to know the mass of the cart to solve this problem?

Answers

The height attained is 4.13 m and we do not need to know the mass of the cart to solve the question.

Mechanical energy

The term mechanical energy refers to energy possessed by a body by virtue of its position or its state of motion. There are two kinds of mechanical energy which are;

Potential energyKinetic energy

For the question, kinetic energy is equal to potential energy hence;

mgh = 1/2 mv^2

We can cancel out m on both sides such that

gh =1/2v^2

h = 0.5v^2/g

h = 0.5(9)^2/9.8

h =4.13 m

We do not need to know the mass of the cart to solve the problem.

Learn more about mechanical energy: https://brainly.com/question/1932868

You decide to work at a heart rate of 150 instead of 120. What area of F.I.T.T. did you change?

Answers

Key concepts

Heart rate

Exercising

The heart

Cardiovascular system

Health

Introduction

As Valentine's Day approaches, we're increasingly confronted with "artistic" images of the heart. Real hearts hardly resemble to two-lobed shapes adorning cards and candy boxes this time of year. And the actual shape of the human heart is important for its function of supplying blood to the entire body. You have likely noticed that your heart beats more quickly when you exercise. But have you ever taken the time to observe how long it takes to return to its normal rate after you're done exercising? In this science activity you'll get to do some exercises to explore your own heart-rate recovery time.

Background

Your heart is continuously beating to keep blood circulating throughout your body. Its rate changes depending on your activity level; it is lower while you are asleep and at rest and higher while you exercise—to supply your muscles with enough freshly oxygenated blood to keep the functioning at a high level. Because your heart is also a muscle, exercise, in turn, helps keep it healthy. The American Heart Association recommends that a person does exercise that is vigorous enough to raise their heart rate to their target heart-rate zone—50 percent to 85 percent of their maximum heart rate, which is 220 beats per minute (bpm) minus their age for adults—for at least 30 minutes on most days, or about 150 minutes a week in total. So for a 20-year-old, the maximum heart rate would be 200 bpm, with a target heart-rate zone of 100 to 170 bpm. (For those 19 or younger, target zones can vary more than they do for adults.)

i think it will help you...if it help you ...please mark brainless

2.09)
What would happen to two objects of different masses that are dropped in a
free fall where there is no air friction or any other forces besides gravity?
A. They would fall with an acceleration of 8.9 m/s2.
B. They would hit the ground at the same time.
C. The heavier object would hit the ground first.
D. Both objects would float away.​

Answers

I think the anser is B ::::::::::::;:;;;;;;;;;;;;;;;;;;;;;;;;;

Answer:

b

Explanation:

If someone showed you two spheres of the same size but with different masses, say 1g and 10kg, and asked which would hit the ground first after being dropped from the Leaning Tower of Pisa, what would you say? If you’re like most people, you would say the 10kg sphere would hit the ground first. Aristotle said so too, and for 1,000 years everyone believed him. But doing the experiment would show you, besides a great view of Pisa, that in fact, both spheres hit the ground at the same time.This is exactly what Galileo did, showing the world that objects of different masses fall at the same rate. (This is also a good example of why it is important to do experiments yourself and not to just take someone else’s word for it.) To start understanding why Galileo was right, we need to understand the difference between several physics words that are often jumbled together and confused: mass, weight, speed, velocity, acceleration, and force.

8. A sprinter on a school track team is running north at a velocity of 6.0 m/s. After 5.0 s, she
is running south at 4.0 m/s. Calculate the average acceleration for this interval.

Answers

Answer:

acc. = 4-(-6) /5= 10/5=2 m/s^2

Two trains on parallel tracks are traveling in the same direction. One train starts 10 km behind the other. It overtakes the first train in 2 hours . What is the relative speed of the second train with respect to the first train?

Answers

Answer:

[tex]v'=v_2-v_1=5\frac{km}{h}[/tex]

Explanation:

The relative speed between the trains is given by:

[tex]v'=v_2-v_1[/tex]

v1: speed of the first train

v2: speed of the second train

To find the relative velocity you write the equation of motion of both train by taking into account the information of the statement. The trains have constant velocity. Furthermore, the second train stars 10 km behind the other one. hence you have:

[tex]x=10+v_1t\\\\x=v_2t[/tex]

for t = 2 hours, the positions of both trains are equal, thus you have:

[tex]10+v_1t=v_2t[/tex]

you factor v2 - v1 from the last equation and replace t = 2h:

[tex]10=v_2t-v_1t\\\\10=(v_2-v_1)t\\\\v_2-v_1=\frac{10}{t}=\frac{10}{2}=5 \frac{km}{h}[/tex]

Hence, you have that the relative velocity is:

[tex]v'=v_2-v_1=5\frac{km}{h}[/tex]

What happens to the induced electric current if the number of loops is increased from one to three?


A. It stays the same.

B. It doubles in magnitude.

C. It triples in magnitude.

D. It decreases by a factor of three.

E. It decreases by a factor of two.

Answers

Answer:

C. It triples in magnitude (PLATO)

When the induced electric current, if the number of loops is increased from one to three, it triples in magnitude. The correct option is C.

What is induced electric current?

A shifting magnetic field causes an induced current. An induced emf accompanies the induced current. Without a battery in the circuit, a current can be generated.

The induced emf can be described using Faraday's law of induction. Induction is the method of creating current in a conductor by exposing the conductor to a shifting magnetic field.

Since there is no actual physical link between the conductor and the magnet, this phenomenon is known as induction. The magnetic field is said to induce the current in the conductor.

Therefore, the correct option is C. It triples in magnitude.

To learn more about electric current, refer to the link:

https://brainly.com/question/30033576

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Why are car radiators painted black?

Answers

Answer:

To absorb heat

Explanation:

A black color is said to absorb much heat . This helps in cooling the engine as the radiator has absorbed the heat efficiently .

Additional Information:

A black object absorbs all wavelengths of light and reflects non , that is why it appears black .The more light an object absorbs , the more heat it absorbs .

How do we determine the age of rocks and other geologic features?

Answers

Answer:To establish the age of a rock or a fossil, researchers use some type of clock to determine the date it was formed. Geologists commonly use radiometric dating methods, based on the natural radioactive decay of certain elements such as potassium and carbon, as reliable clocks to date ancient events.

Explanation:

Which statement about energy conservation BEST explains why a bouncing basketball will not remain in motion forever?

a The energy is used up and destroyed.
b The energy is transferred to light and potential energy.
c The energy is transformed to heat and chemical energy.
d The energy is transformed to sound and heat energy.

Answers

Answer:

  d  The energy is transformed to sound and heat energy.

Explanation:

Each time the basketball bounces, it makes sound waves, and dissipates energy in the form of heat in the material of the ball and the surrounding air. There is no light or chemical change involved.

7. A scientific theory can change if (2 points) nobody wants to believe it it becomes too old the scientist who discovered it dies we discover some new facts

Answers

Answer: this is true

Explanation: another one is if it is disproved

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