Luna and Angela are competitors in a running competition. Both are leading the race and enter at the same time the last 30 meters. Angela enters the final segment runnning at 4 m/s and "applies" an acceleration of 2 m/s2 while Luna enters the final segment at 3m/s but "applies " an acceleration of 3 m/s2. (a) Who finishes the race first? (Do the calculations) (b) Who is running faster at the end of the race?

Answers

Answer 1

Answer:

(a) Luna

(b) Luna

Explanation:

(b)

The final speed can be found by using the third equation of motion:

[tex]2as = v_f^2 - v_i^2\\[/tex]

where,

a = acceleration

s = distance covered

vf = final speed

vi = initial speed

For Angela:

a = 2 m/s²

s = 30 m

vi = 4 m/s

vf = v_fa

therefore,

[tex]2(2\ m/s^2)(30\ m) = (v_{fa})^2 - (4\ m/s)^2\\v_{fa}^2 = 120 m^2/s^2 + 16\ m^2/s^2\\v_{fa} = 11.66\ m/s\\[/tex]

For Luna:

a = 3 m/s²

s = 30 m

vi = 3 m/s

vf = v_fl

therefore,

[tex]2(3\ m/s^2)(30\ m) = (v_{fa})^2 - (3\ m/s)^2\\v_{fa}^2 = 180 m^2/s^2 + 9\ m^2/s^2\\v_{fa} = 13.74\ m/s\\[/tex]

Therefore, Luna will be running faster at the end of the race.

(b)

To calculate the time of completion we will use the first equation of motion:

[tex]v_f = v_i + at[/tex]

FOR ANGELA:

[tex]11.66\ m/s = 4\ m/s + (2\ m/s^2)t_a\\t_a = \frac{7.66\ m/s}{2\ m/s^2}\\\\t_a = 3.83\ s[/tex]

FOR LUNA:

[tex]13.74\ m/s = 3\ m/s + (3\ m/s^2)t_l\\t_l = \frac{10.74\ m/s}{3\ m/s^2}\\\\t_l = 3.58\ s[/tex]

Hence, LUNA finishes the race first.


Related Questions

A motorbike accellerates from 15m/s to 25m/s in 15 seconds. How far does thew motrobike trsavel in this time?

Answers

Answer:

300 m.

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 15 m/s

Final velocity (v) = 25 m/s

Time (t) = 15 secs

Distance (s) =?

The distance travelled by the motorbike can be obtained as follow:

s = (u + v)t / 2

s = (15 + 25) × 15 / 2

s = 40 × 15 / 2

s = 600 / 2

s = 300 m

Thus, the distance travelled by the motorbike is 300 m.

True or False: There are many different types of leukocytes.


True


False

Answers



the answer is a.) true


Choose the correct answer?

Answers

Answer:

B

Explanation:

Which of the following regions of the EM epxtrum has the highest
frequency?

1) x rays
2) microwaves
3) infrared light
4) ultraviolet light

Answers

Answer:

1) x rays

Explanation:

Honestly Gamma rays has the Highest frequency, but in your options, gamma rays is not among, so x rays has the highest frequency among your options.

by Manshow

Answer:

The answer is (X-rays)

number 1

When ___ attacks the surface of a metal, it becomes tarnished.​

Answers

Answer:corrosion (i believe)

Explanation:

Answer

Mix baking soda and salt with hot water and cover everything with it. The proportions are not crucial, but about 1 tablespoon of salt and 1 tablespoon of baking soda to 3 dl water should do the trick. Lightly tarnished objects should clean up in a few minutes, and you just rinse them of and dry them.

Explanation:

A 10cm3 sample of copper has a density of 897g/cm3. What is the mass of the sample?

Answers

Question:-

A 10cm³ sample of copper has a density of 897g/cm³. What is the mass of the sample ?

Answer:-

Given:-

Density of sample of copper is 897g/cm³.

Volume of sample of copper is 10cm³.

To Find:-

The mass of the sample.

Solution:-

We know,

[tex] { \boxed{\bf{\rm \red {Mass \: = \: Density \: × \: Volume}}}} [/tex]

So, Mass = 897g/cm³ × 10cm³

Mass = 8970 g

The mass of the sample is 8970 g. [Answer]

Consider again the civilization described in the previous question. (They live on a planet orbiting 10 AU from a close binary star system that consists of a 15 MSun red giant star and a 10 MSun black hole surrounded by an accretion disk.) Through a bizarre (and scientifically unexplainable) fluctuation in the space-time continuum, a copy of a book from that civilization arrives on your desk; it is entitled Iguoonos: How We Evolved. In the first chapter, you learn that these beings evolved from organisms that lived 5 billion years ago. Which of the following statements should you expect to find as you continue to read this book?
A. Their immediate ancestors were chimpanzees.
B. As a result of traumatic experiences to their evolutionary ancestors, they dislike television.
C. They evolved on a different planet in a different star system, and moved to their current location.
D. They evolved from primitive wormlike creatures that had 13 legs, 4 eyes, and bald heads, thus explaining why such critters are now considered a spectacular delicacy.
E. They believe that the presence of two stars in their system was critical to their evolution.

Answers

Fysbsts dydbdysj dudgts offhand fidydh jdgdhd

HELP
Which type of wave interaction is shown in the photo?
A. Interference
B. Refraction
C. Reflection
D. Diffraction

Answers

Answer: the answer is c (think bc im on that too)

Explanation:

The interference is a  type of wave interaction shown in the photo. Option A is correct.

What is the interference of waves?

The result of two or more wave trains flowing in opposite directions on a crossing or coinciding pathways. This phenomenon is known as the interference of waves.

The effect is the sum of the individual wave amplitudes at each site where more than one wave is present.

When two wave pulses are traveling along a string toward each other. They meet and the phenomenon is occur known as interference.

The interference is a  type of wave interaction shown in the photo

Hence option A is correct.

To learn more about the interference of waves refer to the link;

brainly.com/question/16098226

A car is traveling south at 70 miles per hour.
A.
acceleration
B.
velocity
C.
speed
D.
centripetal force

Answers

Answer:

velocity

Explanation:

velocity includes the direction taken by a person or object

How many degrees equal π in radians? How many revolutions (turns) equal π radians? ​

Answers

Answer:

It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π ≈ 57.295779513082320876 degrees.

Explanation:

When setting your schedule, it is sometimes necessary to tell people "No." Please select the best answer from the choices provided. t or f​

Answers

Answer:

True Edg2020

Explanation:

Answer: true

Explanation:

because I say so :P

Q1) Calculate the gravitational force between two large trucks, each with a mass of 6500 kg, if
they are parked next to each other separated by a distance of 0.5 m Ignore all other
gravitational forces.

Answers

Answer:

F = 0.0112 N

Explanation:

Given that,

Masses, [tex]m_1=m_2=6500\ kg[/tex]

The distance between masses, d = 0.5 m

We need to find the gravitational force between two large trucks. The formula for the gravitational forces is given by :

[tex]F=G\dfrac{m^2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{6500^2}{(0.5)^2}\\\\F=0.0112\ N[/tex]

So, the required force between masses is equal to 0.0112 N.

The small piston of a hydraulic lift has an area of 0.20 m2. A car weighing 1200 N sits on a rack mounted on the large piston. The large piston has an area of 0.90 m2. What is the mechanical advantage of the hydraulic lift?

Answers

Answer:

4.5

Explanation:

Given the following

Weight of the car = 1200N (Load)

Let us get the effort by using the formula;

F1/A1 = F2/A2

Substitute the given values

1200/0.9 = F2/0.2

Cross multiply

0.9F2 = 1200 * 0.2

0.9F2 = 240

F2 = 240/0.9

F2 = 266.67N

Hence the effort is 266.67N

Mechanical Advntage = Load/Effort

MA = 1200/266.67

MA = 4.5

Hence he mechanical advantage of the hydraulic lift is 4.5

If the current in a wire which is placed perpendicular to a magnetic field increases the force on the wire

Answers

Answer:

The force on the wire increases

Explanation:

Since the force on the wire F = BILsinФ where B = magnetic field strength, I = current in wire, L= length of wire and Ф = angle between the magnetic field and the wire.

Given that the magnetic field and the wire are perpendicular, Ф = 90°

So, F = BILsin90° = BIL

Since B and L are constant, F ∝ I

So, if the current in the wire increases, the force on the wire also increases.

How many cups of water should you drink in a day?

Answers

Answer:

about 2.7liters for women and 3.7liters for men

Explanation:

What force is caused by tiny collisions, called microwelds, on surfaces that
are stuck together?
A. heat
B. energy
C. air resistance
D. friction

Answers

Answer:

D. Friction

Explanation:

"Friction is caused by microwelds that form between two surfaces. Microwelds are stronger when the two surfaces are pushed together with a greater force." - ( Module 3 • Forces and Newton’s Laws) quoted

hope this helps and is right. p.s. i really need brainliest :)

Answer:

Friction

Explanation:

Took The Test

Amy pulls a spring with a spring constant k = 100 stretching it from its rest length of 0.10 m to 0.2

Answers

Answer:

Elastic potential energy  E = 0.5 J

Explanation:

Let us assume we have to find the elastic potential energy stored in the spring.

Given: k = 100

change in the length of the spring x = 0.2-0.1 = 0.1 m

Elastic potential energy

E = [tex]\frac{1}{2} kx^2[/tex]

plugging the values we get

[tex]E = 0.5\times100\times0.1^2\\=0.5 J[/tex]

Hence, Elastic potential energy  E = 0.5 J

Amy pulls a spring with a spring constant k = 100 N/m, stretching it from its rest length of 0.10 m to 0.20 m.

What is the elastic potential energy stored in the spring?

Answer: 0.5 J

The magnetic field of a bar magnet Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Always points from north to south, whether we look outside the magnet or inside the magnet. b Always points from south to north, whether we look outside the magnet or inside the magnet. c Points from north to south outside the magnet, but south to north inside the magnet. d Points from south to north outside the magnet, but north to south inside the magnet.

Answers

Answer:

A: Always points from north to south, whether we look outside the magnet or inside the magnet

Explanation:

When we freely suspend a bar magnet, it's magnetic field will always rest in the north to south direction due to the fact that the Earth's magnetic south pole usually lies in the direction of the geographic north while the Earth's magnetic north pole usually lies in the direction of the geographic south.

Now, we all know that in magnets, like poles will repel and unlike poles will attract. What this now means is that the magnet will always point from the north to the south direction.

How is a plant able to cycle matter through the processes of cellular respiration and photosynthesis?

Answers

The carbon cycle refers to the processes by which carbon in the biosphere is recycled. Photosynthesis sucks carbon dioxide out of the atmosphere, while cellular respiration releases it into the environment. Photosynthesis is the process by which solar energy reaches a plant and is converted into glucose.

How photosynthesis and cellular respiration are similar:

Photosynthesis is a method by which plants and other organisms transform light energy into chemical energy, which is then released to fuel the organism's metabolic activities through cellular respiration.

calculate the magnitude of distance and displacement of a body moving in a complete circle

Answers

Answer:

Total distance = 2πr

Total displacement = 0

Explanation:

To Calculate the magnitude of distance and displacement of a body moving in a complete circle, we must come to these facts that:

The distance = circumference of the circle which is equal to the product of 2 ,pi and radius r

That is

Circumference = 2πr

Since velocity is changing and not constant, it is a vector quantity. Likewise displacement is a vector quantity.

The total displacement will be equal to zero.

Therefore, total distance is equal to the circumference of a circle while total displacement is equal to zero.

a measuring cylinder contains water when put rock level rises what is volume of rock

Answers

Answer:

The volume displacement resulting from the action, minus the original volume.

You are adding sugar to a cup of tea. What could you do to make the sugar dissolve
faster? (Select all that apply)
Stir/agitate
Heat the tea
Break the sugar into smaller parts
Keep adding more sugar

Answers

Answer:

Stir/agitate and heat the tea

Answer:

Stir the tea, Heat the tea, and Grind the sugar

Explanation:

Heating and stirring both increase the energy of the tea molecules, which increases interactions with the sugar. Grinding sugar allows more sugar molecules to be exposed to the solvent particles that dissolve them.

A 905 kg test car travels around a 3.25 km circular track. if the magnitude of the force that maintains the car's circular motion is 2140 N, what is the car's tangential speed?

Answers

Link provided in other answer is a SCAM, don’t click on the link !!!!

A 100 N force is applied to move an object a horizontal distance of 5 meters at constant speed in 10 seconds. How much power is done?

Answers

Answer:

50 W

Explanation:

Given :

Force applied = 100 NDistance covered = 5 metresTime = 10 seconds

To find :

Power

Solution :

For calculating power, we first need to know about the work done.

[tex] \bf \boxed{Work = Force \times displacement} [/tex]

Now, substituting values in the above formula;

Work = 100 × 5

= 500 Nm or 500 J

We know that,

[tex]\bf \boxed{Power=\dfrac{Work\:done}{Time\: taken}}[/tex]

Substituting values in above formula;

Power = 500/ 10

= 50 Nm/s or 50 W

Hence, power = 50 W .

Boxers wear gloves that are padded to lessen the force of a punch. Calculate the force exerted by a boxing glove on an opponent's face, if the glove and face compress 8.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. Give your answer in Newtons, do not include the unit in your answer.

Answers

Answer:

F = 4117.64

Explanation:

First, we will calculate the acceleration of the hand, by using the third equation of motion:

[tex]2as = v_f^2 - v_i^2\\[/tex]

where,

a = acceleration = ?

s = distance covered = compression = 8.5 cm = 0.085 m

vf = final speed = 0 m/s

vi = iniial speed = 10 m/s

Therefore,

[tex]2a(0.085\ m) = (0\ m/s)^2-(10\ m/s)^2\\a = - 588.23\ m/s^2[/tex]

negative sign hows deceleration.

Now, we will calculate the force exerted by the hand:

[tex]F = ma = (7\ kg)(588.23\ m/s^2)\\[/tex]

F = 4117.64 N

The smaller the mass of an object, the _____ its inertia

Answers

Answer:

larger

Explanation:

just trust me

The smaller the mass of an object, the smaller its inertia, because the inertia of any object is directly proportional to the mass of the object

What is inertia?

The ability of an object to resist changes in motion is known as inertia. The amount of inertia is directly related to an object's mass; in fact, as we frequently observe, the heavier an object is, the harder it is to change its direction of motion.

A straightforward illustration: While it is relatively simple to stop a tennis ball that has been thrown in our direction, we are aware that it is more difficult to stop a large truck that is moving in the same direction at the same speed. This is because the truck has a much higher mass than the tennis ball and a higher moment of inertia. As a result, inertia rises as mass does.

Since the inertia of any object is directly proportional to its mass, the smaller its mass, the less inertia it will have.

Learn more about Inertia from here

https://brainly.com/question/1358512

#SPJ5

10. A jogger runs along a road for a distance of 2700 m. If it takes her 900 seconds
to run that distance, what is her speed?

Answers

Answer:

Speed = 3 m/s

Explanation:

Given the following data;

Distance = 2700m

Time = 900 s

To find the speed;

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Substituting into the equation, we have;

[tex]Speed = \frac{2700}{900}[/tex]

Speed = 3 m/s

eating disorder Symptoms

Answers

Answer:

some symptoms can be lack of energy, and dizziness.

Explanation:

Why do we need satellites?
(There is no science colum)

Answers

Answer:

Because they provide information about clouds, oceans, land and ice.

How are radio waves modified to send information?

Answers

Answer:

Radio waves can be modified by their amplitude or frequency in order to transmit sound or data.

Explanation:

Hope this helped!!!

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