An object is released from rest near a planet’s surface. A graph of the acceleration as a function of time for the object is shown for the 4 s after the object is released. The positive direction is considered to be upward. What is the displacement of the object after 2 s?

Answers

Answer 1

Answer:

the body has descended a height (4a)

Explanation:

This exercise should use the acceleration given in the graph, but unfortunately the graph is not loaded, but we can build it, using the law of universal gravitation and the fact that you indicate that the movement is near the surface of the planet

           F = m a

f

orce is gravitational force

           G M m / r² = m a

           a = G M / r²

where G is the universal constant of gravitation, M the mass planet and r the distance from the center of the planet of radius R to the body, if we measure the height of the body from the surface of the planet (y), we can write

           r = R + y

for which

           a = G M/R²     (1+ y/R)⁻²

if we use y«R we can expand the function in series

           a = (G M /R²)   (1 -2 y/R - 2 (-2-1) /2!   y² / R² +…)

as the height is small we can neglect the quadratic term and in many cases even the linear term, for this exercise we will remain only constant therefore the acceleration is constant

           a = G M / R²

from this moment we can use the relations of motion with constant acceleration for the exercise

a) they ask us for the position for t = 2s

            y = y₀ + v₀ t - a t²

as the body is released v₀ = 0

            y-y₀ = - a t²

            y-y₀ = - a 2²

             y-y₀ = - a 4

therefore  

therefore the body has descended a height (4a) where a is the acceleration of the planet's gravity


Related Questions

Read the excerpt from "Introduction to Poetry" by Billy Collins. or walk inside the poem's room and feel the walls for a light switch. How does this metaphor reveal Collins’s message? The metaphor suggests that poetic themes are serious and dark. The metaphor suggests that readers should explore poems in depth. The metaphor insists that readers should move about while reading. The metaphor insists that one must know the poet to understand the poem.

Answers

Answer:

d

Explanation:

hi

Answer:

the answer is b The metaphor suggests that readers should explore poems in depth.

Explanation:

I got it right

What is the power of 10 when 0.00503 is written in scientific notation


Answers

The answer is 10^-3.

what are the three parts to tell the cell theory

Answers

Answer: 1. Organisms are made of cells

2. Cells are the most fundamental unit of life

3. Cells come from other cells

Explanation:

Hope this helps!!

5. What is the velocity of a Nolan Catholic football player if he runs 200.0 m in 24.0 s?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed {\sf{8.33 \: m \:/s \: }}}}} [/tex]

Explanation:

Distance travelled = 200 metre

Time taken = 24 second

Velocity = ?

Finding the velocity

[tex] \boxed{ \sf{velocity = \frac{distance \: travelled \: }{time \: taken}}} [/tex]

[tex] \dashrightarrow{ \sf{velocity = \frac{200 \: m}{24 \: s} }}[/tex]

[tex] \dashrightarrow{ \sf{velocity = 8.33 \: m/s}}[/tex]

Hope I helped!

Best regards!

Why ultrasound is useful in medical field???

Answers

Answer:

It allows you to see fetuses before they are born.

Explanation:

because it has many helpful measures....

it helps in breaking and crushing the kidney stones...due to its high frequency....

The United States spends over $20 billion a year on space exploration through NASA. Do you think that this has been worth the cost? In three to five sentences, provide two specific examples of things we have learned from space exploration, and explain how these examples influence your opinion.(4 points)

Answers

Sunday, July 20, marked 45 years since the United States put the first two astronauts safely on the moon. The cost for the Mercury, Gemini and Apollo programs was more than $25 billion at the time more like $110 billion in today’s world. The ensuing U.S. space efforts have cost an additional $196 billion for the shuttle and $50 billion for the space station. NASA’s total inflation-adjusted costs have been more than $900 billion since its creation in 1958 through 2014 (more than $16 billion per year). Looking back, have we gotten our money’s worth from the investment?

IamSugarBee

If you have 2 flowers, but then your friend gives you one, how many do you have?

Answers

Answer:

3

Explanation:

Answer:

2+1=3

Explanation:

cause why not

Two teams are playing tug of war. Team A pulls to the right with a force of 450 N. Team B pulls to the left with a force of 415 N.

Answers

Answer:

Two teams are playing tug of war. Team A pulls to the right with a force of 450 N. Team B pulls to the left with a force of 415 N

Answer:

A. 35 N to the right.

EXPLANATION: 450 is going to the right so you subtract what is going against it. Which gives you 35. And because 450 is bigger than 415, it'll be going to the right.  

help pls!!

acceleration:

a) the rate of change of position

b) acceleration caused by the force of gravitation

c) the rate of change in velocity; speeding up, slowing down, or changing direction

d) for every action force, there is an equal and opposite reaction force

Answers

The correct answer would be C

Answer:C.

Explanation:

The rate of change in velocity; speeding up, slowing down, or changing direction

A student leaves his house and walks 4 m east to friend's house, and then turns and walks 7 m west to the library in 120 seconds. Determine the student's average velocity for his entire walk.

Answers

Answer:

v_average = -0.025 m / s

the minus indicates that the velocity is to the west.

Explanation:

For this exercise we use the definition of average velocity

         v_average = (x₂-x₁) / Δt

Let's keep in mind that the velocity is a vector, so the displacement is

          x₂ - x₁ = 4 - 7 = -3

the minus indicates that the shift is to the west.

Let's calculate

           v_average = -3 / 120

           v_average = -0.025 m / s

the minus indicates that the velocity is to the west.

What do you like about science?​

Answers

Answer:

nngh have

bjruh hjrhhj be rnrnnrnrnnnrnjrjnnnnnnnnrnrn n n and I was nrn

Explanation:

jbbbbbhhhjjnnnnnnnnnnjhvcc

Explanation:

A sled is at rest at the top of a slope 2 m high. The sled has a mass of 45 kg. What is the sled’s potential energy?

Answers

Answer:

its 882 J

Explanation:

the answer is D for edge

A cruise took 6 hours to fulfill its trip. It travelled at an average
speed of 160 km/h for the first 2 h 15 min. For the remaining
journey, it travelled at an average speed of 180 km/h. What was
the total distance of the journey?

Answers

Answer: 1035

Explanation:

It's important to match your exercise shoes with the type of exercise in which you will be participating.

Answers

Answer:

True

Explanation:

Answer:

True is the correct answer

Explanation:

i took the test

Sea and land breezes over a large region that change direction with the seasons are called_____________.

Answers

Monsoon. Sea and land breezes over a large region that change direction with the seasons are called. Global winds.

what are fossil fuels?​

Answers

fossil fuels are things such as natural gas, petroleum, and coal and they are made from dead organisms containing organic molecules that release energy deep in the ground they are not renewable

Answer:

Fossil Fuels are natural fuels like coal or gas that were formed millions of years ago and take millions of years to form. They are formed from the remains of past living organisms.

Explanation:

Well you do no really need an explanation for this one...

What is energy????????

Answers

Answer:

Energy is the ability to do work.

Explanation: Work is just the act of displaying something by applying force.

List two examples of the following states of matter: solids, liquids, and gases. Please answer in NO LESS THAN 3 complete sentences.

Answers

Answer:

Matter can exist in one of three main states: solid, liquid, or gas. Solid matter is composed of tightly packed particles. A solid will retain its shape; the particles are not free to move around. Liquid matter is made of more loosely packed particles.

Key Takeaways: Examples of Solids, Liquids, and Gases

A solid has a defined shape and volume. A common example is ice. A liquid has a defined volume, but can change state. An example is liquid water.There are four natural states of matter: Solids, liquids, gases and plasma. The fifth state is the man-made Bose-Einstein condensates. In a solid, particles are packed tightly together so they don't move much.

Explanation:

a cross country runner runs 10 km in 40 minutes. what is his average speed

Answers

Answer :

Average speed is measured as the ratio of total distance travelled to the total time taken.

Given : d = 10km and t = 40min

To Find : Vav

_________________________________

Conversion :-

60 min = 1 h

40 min = 40/60 = 2/3 h

[tex]:\implies\sf\:V_{av}=\dfrac{d}{t}[/tex]

[tex]:\implies\sf\:V_{av}=\dfrac{10\times 3}{2}[/tex]

[tex]:\implies\sf\:V_{av}=\dfrac{30}{2}[/tex]

[tex]:\implies\:\boxed{\bf{\orange{V_{av}\:15\:kmph}}}[/tex]

Place thermometers near the edge of the table for easy retrieval.


True
True

False

Answers

this is a true and false question correct or did you accidentally put two truths ??

What teaching methods help you the most (direct instruction, watching videos, teaching others) and why? ​

Answers

Explanation:

for me its teaching others. I find it really helpful to go over something then recite all the info to my mum or sister after without looking at notes to see how much I could remember

A person driving a car suddenly applies the brakes. The car takes 7.0 s to come to rest while traveling 26 m at constant acceleration. What was the initial speed of the car (in m/s)?

Answers

Answer:

7.43 m/s

Explanation:

Time taken for car to stop = 7.0 s

distance traveled before coming to rest = 26 m

Final speed of the car = 0 m/s (since it stops)

initial speed of the car = ?

To get the final speed, we use the equation

s = [tex]\frac{1}{2}t(u + v)[/tex]

where

s is the distance traveled before stopping

u is the initial speed = ?

v is the final speed = 0 m/s

t is the time = 7 s

substituting values, we have

26 = [tex]\frac{1}{2}*7*(u + 0)[/tex]

26 = 3.5u

u = 26/3.5 = 7.43 m/s

3. A person of mass 100 kg stands on a scale in an elevator. The elevator moves downward at a steady speed. Is the scale reading greater than, less than, or equal to 1000 N? Justify your answer.

Answers

Answer:

less than

Explanation:

Given;

mass of the person, m = 100 kg

acceleration due to gravity, g = 9.8 m/s²

The reading on the scale is determined by applying Newton's second law of motion;

R = mg - ma

R = m(g-a)

at constant velocity, the acceleration is zero

a = 0

R = m(g-0)

R = mg

R = 100 x 9.8

R = 980 N

Thus, the scale reading is equal to the weight of the person but less than 1000 N

A race car starts from rest and speeds up uniformly to the right until it reaches a maximum velocity of 60m/s^2



What is the acceleration of the race car?

Answers

Question:

A race car starts from rest and speed up uniformly to the right until it reaches a maximum velocity of 60m/s in 15 secs

Answer:

4m/s²

Explanation:

The acceleration of a body in uniform motion can be found by using one of the equations of motion as follows;

v = u + at         ------------------(i)

Where;

v = final velocity of the body

u = initial velocity of the body

a = acceleration of the body

t = time taken for the motion

From the question, the body is the race car and has the following:

v = 60m/s²

u = 0 [since the car starts from rest]

t = 15 secs.

Now, substitute these values into equation(i) as follows;

60 = 0 + a(15)

60 = 15a    [Divide through by 15]

[tex]\frac{60}{15}[/tex] = [tex]\frac{15a}{15}[/tex]

a = 4

Therefore, the acceleration of the race car is 4m/s²

Jim rode at an average speed of 12mph in 2 hours the he walked at an average of speed of 3 mph 0.5 hours what was the total distance covered by Jim

Answers

Answer:

12mph in 2hrs and 3mph in 0.5hrs the total distance would be 12*2 and 3*0.5 which would be 24 and 1.5 so we add those 24+1.5= 25.5. The answer would be 25.5

which type of mixture is air explain​

Answers

Answer:Three elements make up over 99.9 percent of the composition of dry air: these are nitrogen, oxygen, and argon.

Explanation:

Answer: Air is an gaseous substance

Explanation:

Air is a homogeneous mixture of the gaseous substances nitrogen, oxygen, and smaller amounts of other substances. Salt, sugar, and many other substances dissolve in water to form homogeneous mixtures.

X-rays are used to take pictures of your bones. UV rays just burn your skin. Why do you think x-rays can go through skin and UV rays cannot?
(Please help, And try to be as detailed as possible.)​

Answers

Answer:

yes x rays are like light rays the difference is that they v

can oass through stuffs

skin and fats doesn't block more of the x rays

Explanation:

why uv cannot go through it us dangerous causing skin disease and cancer,skin itchness and redness and ut is cumulative

Which of the following is an example of a chemical property? Density Solubility Flammability Magnetism

Answers

Answer:

Hey there!

Flammability is a chemical property. It doesn't change based on what state of matter the object is in.

Let me know if this helps :)

Answer:Flamibilliety

Explanation:

Which statement describes an advantage of models? Models can be used to communicate and test designs ideas. Models always show the exact size of a system. Models have the ability to develop into complex systems. Models are useful for developing scientific methods.

Answers

Answer:

Models are useful for developing scientific methods.

Explanation:

Which statement describes an advantage of models? And Developing is an advantage of a model.

Developing scientific methods.

What are scientific methods?

"The scientific method is a process for experimentation that is used to explore observations and answer questions."

The scientific method has five basic steps, plus one feedback step:

Make an observation.Ask a question.Form a hypothesis, or testable explanation.Make a prediction based on the hypothesis.Test the prediction.Iterate: use the results to make new hypotheses or predictions.

Know more about models here

https://brainly.com/question/19426210

#SPJ2

Find the average velocity (in m/s) of a bicycler that starts 200 meters north of Norwalk and is 2,000 meters north after 45 minutes.

Answers

Answer:

The answer is 10

Explanation:20 x 10 = 200

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