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 mass of 3.6 kg oscillates on a horizontal spring with a spring constant of 160 N/m. When the mass passes the equilibrium point its speed is 5.2 m/s. d. What is the maximum displacement of the mass?

Answers

Answer:

x = 0.78 m = 78 cm

Explanation:

Applying the law of conservation of energy to the spring-mass system, we can write the following equation:

[tex]Kinetic\ Energy\ at\ Mean\ Position= Potential\ Energy\ at\ extreme\ position\\\frac{1}{2}mv^2 = \frac{1}{2}kx^2\\\\x^2 = \frac{mv^2}{k}\\\\x = \sqrt{\frac{mv^2}{k} }[/tex]

where,

x = maximum displacement = ?

m = mass = 3.6 kg

v = speed at mean position = 5.2 m/s

k = spring constant = 160 N/m

Therefore,

[tex]x = \sqrt{\frac{(3.6\ kg)(5.2\ m/s)^2}{160\ N/m} }\\\\[/tex]

x = 0.78 m = 78 cm

What do oxygen and bromine have in common ?

Answers

Answer:

oxygen and bromine are both highly reactive. they are also both nonmetals

A metal sphere of radius 10 cm carries a charge of 2.0 MicroCoulomb.What is the magnitude of the electric field 5.0 cm from the sphere's surface?

Answers

Answer:

E = 7200 J = 7.2 KJ

Explanation:

The electric field due to a sphere is similar to the electric field due to a point charge. It is calculated by the use of the following formula:

[tex]E = \frac{kq}{r^2}\\[/tex]

where,

E = Electric Field = ?

k = Coulomb Constant = 9 x 10⁹ Nm²/C²

q = charge on sphere = 2 μC = 2 x 10⁻⁶ C

r = distance from the center of the sphere to the location = 5 cm = 0.05 m

Therefore,

[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(2\ x\ 10^{-6}\ C)}{(0.05\ m)^2}[/tex]

E = 7200 J = 7.2 KJ

Explain why sounds are fainter at high mountains than sea level​

Answers


explanation: Again the statement being: The static air pressure and the density of air are proportional at the same temperature, meaning the ratio p/ρ is always constant, on a high mountain or even on sea level altitude. Where v is the speed of air molecules

Why are fats and waxes solid at room temperature?

Answers

Answer:

Fats and waxes are solid at room temperature because they are made of saturated fatty acids. In contrast, oils are mostly unsaturated fatty acids. ... In contrast, unsaturated fatty acids have several kinks in their structure and therefore, are liquid at room temperature.

PLEASE HELP ME :( I've tried solving it many times but my teacher keeps saying its wrong i really need help

Answers

Answer:

The charge on each end of the wire produces what we call an electric field. The electric field makes negative electrons want to travel towards the positive end of the wire (the end with not enough electrons).

the answer is d because it's going to positive.

is am alright? let me know.

A wave with a frequency of 20 Hz has a wavelength of 4 meters. At what speed will this wave travel?

Answers

Answer: v= 80 m/s

Explanation: speed = wavelength×Frequency

name three elements that have similar chemical properties to oxygen. (dont send me a link please)

Answers

Sulfur, Selenium, Tellurium

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.

after a meal.
6. Exercise for the diabetic should occur
a. Immediately
b. 1-3 hours
c. 5 hours
d. a day

Answers

Answer:

B.

1-3hours

Explanation:

This is because a diabetic patients have increased blood sugar or glucose concentration. After eating a meal, the blood glucose concentration will be increased as it is been accumulated . Therefore it is best diabetic patient exercise at that hour to reduce it's blood glucose concentration.

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:

what is the order of magnitude for 3.9×10¹²​

Answers

i think 12 , twelve is the answer

Select the correct answer. What step can an organization take to improve its culture? A. conduct regular development programs for employees B. employ people belonging to a certain age group only C. keep its number of employees to a minimum D. employ people with similar financial backgrounds

Answers

Answer:

A

Explanation:

you can keep all current employees and improve culture


Imagine that you drop a shot put from a tower on the moon. How much
will the drop time change if the shot put is dropped from a tower on the
earth that is four times as high as the tower used on the moon? The
acceleration of gravity on earth is about 6 times the acceleration due to
gravity on the moon. An equation that may be of interest is found in the
image below.
y = yo + Vyot + ayt?

Answers

Answer: y = yo + Vyot + ayt = =2ay y− yo . 5. vy. 2. −voy. 2. =−2 g y− yo

Explanation: since both the displacement and acceleration are negative, they cancel each other when divided, so the result is positive. ... As you can see, as the height displacement (height) increases, the longer it takes for the robocopter to fall.  

Delphina and Oribus are the same distance from the equator, and they are both near the ocean. Using the information in the map, what is likely to be true about the air temperature of the two places? Why?

Answers

The image of the map is missing, so i have attached it.

Answer:

The air temperature at oribus is warmer than the air temperature at Delphina.

Explanation:

Looking at the map, we can say that he wind will push ocean water that is turning and passing the coasts. Now, as a result, Energy will be transferred from the ocean to the air at Oribus and whereas energy is transferred from the air to the ocean at Delphina. Thus, the air temperature at Oribus will be warmer than that at Delphina.

During the mature stage of a thunderstorm, air moves

upwards
downwards
towards sea
towards land

Answers

Down wards because it’s right and right I need 20 letters

Answer: Downwards

Explanation: Upwards is only at the start of a thunderstorm when air moves towards the poles. During the mature stage, air moves down towards the equator.

What is the amount of electrical potential is measured by?
A. ampere
B. watt
C. volts

Answers

Answer:

voltmeter  (C. Volts)

Explanation:

The amount of electrical potential is measured by voltmeter. Electrical potential is the amount of work needed to move a unit electric charge from a reference point to the specific point in an electric field. The SI unit of electrical potential is Volt.

brainliest?

Answer:

Volts

Explanation:

13.2.2 7+6 - 9(-2)+(-3)​

Answers

Answer:

34.27 is the answer

Work out the area of a rectangle with base, b=20mm and perimeter, p=50mm

Answers

Answer:

100mm²

Explanation:

the other side: (50 - 20 × 2) ÷ 2 = 5

5 × 20 = 100

Answer:

Subtract given lengths: 50 - 20 = 30

Divide by 2 since there are 2 missing sides that need a length: 30 divided by 2 = 15

With the given side lengths multiply all of them to get your area.

15 x 20 = 300 is your area I am pretty sure.

What two types of tactical communication vary based on whether or not you speak?

Answers

Answer:

If you don't have autism/deaf/anything like that you should be able to speak

Explanation:

Answer:

Verbal and nonverbal

Explanation:

Took the test

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

can an object emit different portions of the electromagnetic spectrum at the same time?

Answers

Answer:

i don't really know but i think yes sorry if it is wrong

what is a magnetic field? how could you visualize one?

Answers

Answer:

A magnetic field is what causes gravity basically

Explanation:

To visualize a magnetic field think of 2 ovals on the opposite side of each-other, like one oval on the top of a circle and one on the bottom, that's how id visualize it

Sound and light are both found as _____, with a variety of ____. The sun, a source of light waves specifically, releases a type of _____. It can be found as UVA or UVB types. These lights give off different levels of _____, some of wich can be harmful. The word bank is Electromagnetic energy Waves Wavelength Radiation Ultraviolet light

Answers

Answer:

Waves; wavelength; electromagnetic energy; ultraviolet light.

Explanation:

Sound are mechanical waves that are highly dependent on matter for their propagation and transmission.

Sound travels faster through solids than it does through either liquids or gases.

Light wave can be defined as an electromagnetic wave that do not require a medium of propagation for it to travel through a vacuum of space where no particles exist.

Hence, sound and light are both found as waves, with a variety of wavelength. The sun, a source of light waves specifically, releases a type of electromagnetic energy. It can be found as UVA or UVB types. These lights give off different levels of ultraviolet light, some of wich can be harmful.

Additionally, the ultraviolet spectrum is divided into three categories and these are; UVA, UVB and UVC.

Following are the response to the fill in the blanks:

Sound is a mechanical wave that is strongly dependent on material for development and conveyance. It moves faster through solids instead of through liquids or gases. The light wave is electromagnetic radiation that does not require a medium of propagation to pass through a void of space in which no particles exist. Both 'sound and light' can be found as waves having varying wavelengths. Light waves, in particular, emit a form of radiant waves, which is available in UVA and UVB varieties. The lights emit varying degrees of UV light, many of which are dangerous. In addition, the UV spectrum is classified into three categories: UVA, UVB, and UVC.

Therefore, the answer is "Waves, wavelength, electromagnetic energy, ultraviolet light".

Learn more:

brainly.com/question/13695751

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 20pts-

Answers

Answer:

c and d

because of the guy who is moving object in it say the worker

Explanation:

how can we improve natural resources​

Answers

Answer:

reduce, reuse, and recycle paper,plastic, electricity, glass, fiber

A closed system consists of a pendulum that is swinging back and forth. If the kinetic energy of the pendulum INCREASES, what else must happen to the energy of the system?
A. Its gravitational potential energy must decrease.
B. Its total mechanical energy must decrease.
C. Its gravitational potential energy must increase.
D. Its total mechanical energy must increase..

Answers

Answer:

Both C and D are true.

Energy goes from total kinetic to total gravitational

If Kinetic energy increases then the gravitational energy at its maximum displacement will also increase.

E (total) = PE + KE    at any point of the motion

Answer: it’s A

Explanation: I just took the test

A ball starts from rest and accelerates at a constant rate of 1.0m/s to a final velocity of
5.5m/s. How long did it take for this ball to reach its final velocity?

Answers

Answer:

Time taken to reach final velocity = 5.5 second

Explanation:

Given:

Initial velocity (Starting from rest)(u) = 0 m/s

Acceleration of ball (a) = 1 m/s²

Final velocity (v) = 5.5 m/s

Find:

Time taken to reach final velocity

Computation:

Using first equation of motion;

v = u + at

where,

v = final velocity

u = initial velocity

a = acceleration

t = time taken

5.5 = 0 + (1)(t)

5.5 = t

Time taken to reach final velocity = 5.5 second

If an object is sitting motionless on table, the normal force is...

A. Not present

B. the same forest as the force of the table pushing up on the object of interest

C. an extra force in addition to the force that the table applies to the object​

Answers

Answer:

B. the same forest as the force of the table pushing up on the object of interest

Yeah it’s just the opposite of gravity

What is the main function (job) of the immune system?


A. to produce hormones for growth and development


B. to protect you from illness and disease


C. to get rid of waste in the body

Answers

Answer = B

To protect you from illness and disease.

Answer:

B. to protect you from illness and disease

Explanation:

The immune system protects your  body from outside invaders, such as bacteria, viruses, fungi, and toxins . It is made up of different organs, cells, and proteins that work together.

Hope this helped!!

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