A body with initial velocity 8.0 m/s moves along a straight line with constant acceleration and travels
640 m in 40 s. For the 40 s interval, find (a) the average velocity, (b) the final velocity, and (c) the
acceleration.​

Answers

Answer 1

Answer:

(a) The average velocity is 16 m/s

(b) The acceleration is 0.4 m/s^2

(c) The final velocity is 24 m/s

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity (or the speed) of an object changes by an equal amount in every equal period of time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, final speed is calculated as follows:

[tex]v_f=v_o+at\qquad\qquad [1][/tex]

The distance traveled by the object is given by:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]

(a) The average velocity is defined as the total distance traveled divided by the time taken to travel that distance.

We know the distance is x=640 m and the time taken t= 40 s, thus:

[tex]\displaystyle \bar v=\frac{x}{t}=\frac{640}{40}=16[/tex]

The average velocity is 16 m/s

Using the equation [1] we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

(c) From [2] we can solve for a:

[tex]\displaystyle a= 2\frac{x-v_ot}{t^2}[/tex]

Since vo=8 m/s, x=640 m, t=40 s:

[tex]\displaystyle a= 2\frac{640-8\cdot 40}{40^2}=0.4[/tex]

The acceleration is 0.4 m/s^2

(b) The final velocity is calculated by [1]:

[tex]v_f=8+0.4\cdot 40[/tex]

[tex]v_f=8+16=24[/tex]

The final velocity is 24 m/s


Related Questions

Moments later, your friend passes the ball back up to you. Your friend throws it straight
upwards at a speed of 16.6 m/s. If you catch it when it is still travelling upward at 5.3
m/s how far apart are you and your friend?

Answers

Analysing the question:

since the ball is thrown upwards, the gravity will be applied opposite to the motion of the ball

We are given:

acceleration due to gravity (a) = -10 m/s²

initial upward velocity (u) = 16.6 m/s

final upward velocity (v) = 5.3 m/s

distance between the friends (s) = s m

Neglecting air resistance

Solving for the distance between the friends:

from the first equation of motion

v = u + at

replacing the variables

5.3 = 16.6 + (-10)(t)

-10(t) = 5.2 - 16.6

-10 (t) = -11.3

t = 1.13 seconds

from the second equation of motion

s = ut + 1/2 at²

replacing the variables

s = (16.6)(1.13) + -5(1.13)²

s = 18.8 - 6.4

s = 12.4 m

Therefore, the 2 friends are 12.4 m apart

4. Two identical charges are 25cm apart. They repel each other with the force of 2 x 10-6 Find Each
charge?

Answers

Answer:

Both charges are of the same sign (positive or negative) and with a value of 3.73 ηc.

Explanation:

Coulomb's Law

The electrical force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between the two objects.

Written as a formula:

[tex]\displaystyle F=k\frac{q_1q_2}{d^2}[/tex]

Where:

[tex]k=9\cdot 10^9\ N.m^2/c^2[/tex]

q1, q2 = the objects' charge

d= The distance between the objects

We know both charges are identical, i.e. q1=q2=q. Since the force is repulsive, both charges are positive or negative.

We also are given the force between them:

[tex]F=2\cdot 10^{-6}\ N[/tex]

And also the distance

d=25 cm = 0.25 m

Substituting all into the formula:

[tex]\displaystyle 2\cdot 10^{-6}=9\cdot 10^9\frac{q.q}{0.25^2}[/tex]

The product of [tex]q.q=q^2[/tex]. Operating:

[tex]\displaystyle 2\cdot 10^{-6}=9\cdot 10^9\frac{q^2}{0.0625}[/tex]

Operating:

[tex]\displaystyle 0.0625\cdot 2\cdot 10^{-6}=9\cdot 10^9\cdot q^2[/tex]

Solving for q:

[tex]\displaystyle q^2=\frac{0.0625\cdot 2\cdot 10^{-6}}{9\cdot 10^9}[/tex]

[tex]q^2=1.39\cdot 10^{-17}[/tex]

[tex]q=\sqrt{1.39\cdot 10^{-17}}=3.73\cdot 10^{-9}\ c= 3.73\ \eta c[/tex]

Both charges are of the same sign (positive or negative) and with a value of 3.73 ηc.

2. Who bombarded molybdenum with atomic number (Z=42) with fast moving
neutrons?

Answers

Answer:

This question appears incomplete

Explanation:

This question appears incomplete, however Molybdenum-99 (⁹⁹Mo) is produced by bombarding Molybdenum-98 (⁹⁸Mo) with fast moving neutrons (¹₀n) as shown below

⁹⁸₄₂Mo + ¹₀n ⇒  ⁹⁹₄₂Mo + ⁰₀γ

This reaction is a nuclear caption reaction (which occurs in a nuclear reactor) for the production of Molybdenum-99 (⁹⁹Mo) which serves as a "precursor" for the production of medically viable/ Clinical Grade Technutium-99m (⁹⁹Tc) through Ion-exchange technique.

The diagram shows a ball resting at the top of a hill.
Which statement best describes the energy in this
system?
Х
O The potential energy in the system is greatest at X.
O The kinetic energy in the system is greatest at X.
O Total energy in the system decreases as the ball
moyes from X to Y.
O Tofd energy in the system increases as the ball
moves from X to Y.
Y

Answers

Answer:

the answer is A The potential energy in the system is greatest at X.

Explanation:

i know things

Read the following scenario and decide if it is a hypothesis, theory or law.
Sue is camping and decides to drop a rock off a cliff. She finds a small rock, drops it.
and notes that it takes approximately two seconds to land. She then finds a somewhat
larger rock and concludes that the bigger rock should take less than two seconds to
land because it is bigger.

Answers

Answer:

Law

Explanation:

This is newton's second law of motion.

The correct answer is law

While making some observations at the top of the 63 m tall Astronomy tower, Ron
accidently knocks a 0.5 kg stone over the edge. How fast will the stone be moving when
it hits the ground?

Answers

Analysing the Question:

We are given:

height of the tower (h) = 63 m

mass of stone (m) = 0.5 kg

initial vertical velocity of the stone (u) = 0 m/s  [ since the stone fell, there was no force applied on it to go downwards]

final vertical velocity of the stone (v) = v m/s

acceleration of the stone due to gravity (a) = 10 m/s²    [we are letting g = 10]

** We will be neglecting air resistance in this answer**

Finding the final velocity of the stone:

from the third equation of motion

v² - u² = 2ah

replacing the variables

v² - (0)² = 2(10)(63)

v² = 1260

v = √1260

v = 35.5 m/s

14. Which of the following denotes impedance?
A. H
B. R
C. Z
D. XL

Answers

Answer: The answer is A. H

Bill drives and sees a red light. He slows down to a stop. A graph of his velocity over time is shown below.
What is his average acceleration from 0 to 10 seconds?

Answers

Answer: its actually 0

Explanation: i read the khan academy hints and the answer is 0

yes the answer is 0 and if its not and have this graph its -2.0

If the height of a lab table in a classroom is 0.60 m, how long would it take for a ball launched off the edge of these tables to reach
the floor?

Answers

Explanation:

Using the equation of motion S = ut+1/2gt² where;

S is the height of the table = 0.60m

u is the initial velocity = 0m/s

g is the acceleration due to gravity = 9.81m/s²

t is the time taken

Substitute

0.6 = 0+1/2(9.81)t²

0.6 = 4.905t²

t² = 0.6/4.905

t² = 0.1223

t = √0.1223

t = 0.3497

t≈0.35secs

Hence it will take 0.35seconds for a ball launched off the edge of these tables to reach  the floor

Which state is made up of separated electrons and positive ions?

Answers

Answer: Plasma

Explanation: It's particles are ionized and just took quiz

Answer:

plasma

Explanation:

The higher the altitude then _________ the air pressure... *
lower
higher
hotter
colder

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Physics,

Since we know that, earth is surrounded by a atmosphere, hence on the surface we have high air density but at a higher altitude there is less air, thus pressure of air also less,

The higher the Altitude then lower the air pressure..

A certain light truck can go around a curve having a radius of 119 m with a maximum speed of 30 m/s. To have the same acceleration, at what maximum speed can it go around a curve having a radius of 59.5 m

Answers

Answer:

The maximum speed is 21.1 m/s

Explanation:

Given that,

Radius of curve = 119 m

Maximum speed = 30 m/s

New radius = 59.5 m

We need to calculate the maximum acceleration

Using formula of acceleration

[tex]a_{c}=\dfrac{v^2}{r}[/tex]

Where, v = maximum speed

r = radius

a = acceleration

Put the value into the formula

[tex]a_{c}=\dfrac{30^2}{119}[/tex]

[tex]a_{c}=7.5\ m/s^2[/tex]

We need to calculate the maximum speed

Using formula of speed

[tex]v_{max}=\sqrt{a\times r}[/tex]

Put the value into the formula

[tex]v_{max}=\sqrt{7.5\times59.5}[/tex]

[tex]v_{max}=21.1\ m/s[/tex]

Hence, The maximum speed is 21.1 m/s

A ball is dropped from the top of a building and hits the street below in 4.25 s. How tall is the building? Show work for brainliest.

Answers

Answer:

90.3125 m

Explanation:

[tex]s = ut + \frac{1}{2} a {t}^{2} [/tex]

a = 10m/s^2 (constant)

S=height

U=initial velocity

a= gravitational acceleration

t= time

s = 0 + 1/2 * 10 * 4.25 ^2

u is 0 because it is dropped without velocity

s =90.3125 m

PLEASE HELP!!
A football kicker lines up to kick a game winning kick. The goalpost is 30m away and the ball must clear the
3.3m high cross-bar. If the kick leaves his foot at an angle of 35 degrees, how fast must the kick be to be
good (assuming no one blocks it)?

Answers

Answer:

19.26 m/s

Explanation:

I will put a photo

How could you increase electric force using each factor

Answers

Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects. And decreasing the separation distance between objects increases the force of attraction or repulsion between the objects. Electrical forces are extremely sensitive to distance.

The increment of the electric force by each factor should be explained below.

What is electric force?

An electric force refers to the interaction of the attractive force or the repulsive force that lies between two charged bodies. In the case when there should be increment in the separation distance that lies between the objects so it reduced the attraction force. Due to the reduction in the seperate distance there should be an increment in the attraction force. Also, the electric force should be very sensitive with respect to the distance.

Learn more about electric force here: https://brainly.com/question/17562167

Because of your knowledge of physics, you have been hired as a consultant for a new James Bond movie, "Oldfinger". In one scene, Bond jumps horizontally off the top of a cliff to escape a villain. To make the stunt more dramatic, the cliff has a horizontal ledge a distance h beneath the top of the cliff which extends a distance LL from the vertical face of the cliff. The stunt coordinator wants you to determine the minimum horizontal speed, in terms of L and h, with which Bond must jump so that he misses the ledge.

Answers

Answer:

v = [√(g/2h)]L

Explanation:

Let v be the initial horizontal velocity, t be the time James Bond uses to jump over the ledge of length, L.

So, vt = L and t = L/v

Also, since James Bond has no initial horizontal velocity, he falls freely through the distance, h so we use the equation y - y' = ut - 1/2gt², where y = 0 (at the top of the cliff) and y' = -h, u = 0 (initial vertical velocity), g = acceleration due to gravity = 9.8 m/s² and t = the time it takes to jump off the cliff = L/v.

Substituting these values into the equation, we have

y' - y = ut - 1/2gt²

-h - 0 = 0 × t - 1/2g(L/v)²

-h  = - 1/2gL²/v²

v² = gL²/2h

taking square root of both sides, we have

v = [√(g/2h)]L

So, James Bond's minimum horizontal speed is v = [√(g/2h)]L

A stone is thrown straight up at an upward speed of 8.0 m/s from the top of the cliff. The stone hits the ground and stops 5.0 s later. What is the height of the cliff?

Answers

Answer:

22

Explanation:

A car goes from 80 kn/h to 20 km/h in 0.5 h. What is the acceleration in km/h^2? *

Answers

Answer:

In physics, acceleration is defined as the rate of change of the velocity of an object with respect to time. That is A = VF - VI /T; Where A =  Acceleration VF = Final velocity = 20 km VI = Initial velocity = 80 km T= Time = 0.5 hr A = (20 - 80)/ 0.5 = - 60/.5  A = - 120 Km/ hr^2 Therefore, the acceleration of the car is -120 km/hr^2. Because the value is negative, the appropriate name that describe it is deceleration.I Hope this helps

What is the formula for the compound formed between Na and Se?

Answers

Answer:

gold

Explanation:

The surface of an insulating sphere (A) is charged up uniformly with positive charge, and brought very close to an identical–size conducting sphere (B) that has no net charge on it. The spheres do not make contact.
A) Sketch the distribution of charge on each sphere.
B) Will the spheres attract, repel, or not interact with each other? Explain.
C) When the spheres make contact, they repel each other. Explain this behavior.

Answers

Answer:

A) A negative charge of value Q is induced on sphere B

B) there is an attraction between sphere

C) The charge of sphere A is distributed between the two spheres,

Explanation:

This is an electrostatic problem, in general charges of the same sign attract and repel each other.

with this principle let's analyze the different situations

A) The sphere A that is insulating has a charge on its surface and zero charge is its interior

   The conducting sphere B has zero charge, but the sphere A creates an attraction in the electrons, therefore a negative charge of the same value as the charge of the sphere A is induced in the part closest and in the part farther away than one that a positive charge.

A negative charge of value Q is induced on sphere B

B) In this case there is an attraction between sphere A with positive charge and sphere B with negative induced charge

C) When the two spheres come into contact, the charge of sphere A is distributed between the two spheres, therefore each one has a positive charge of value half of the initial charge, as now we have net positive charges in the two spheres charges of the same sign repel each other so the spheres separate

A penguin is trying to cross the street. It’s velocity v as a function of time t is given in the graph below where rightwards is the positive velocity given. At what time does the penguib have the same positition as t = 0s?

Answers

Answer:

3.5

Explanation:

Khan Academy gives the answer here.

The Problems: 1. Xavier starts at a position of 0 m and moves with an average speed of 0.50 m/s for 3.0 seconds. He normally moves faster than this but he'd just woken up. Determine his final position. 2. A hedgehog starts at a position of 0 m and moves with an average speed of 0.75 m/s for 4.0 s. Determine the final position of the hedgehog. 3. A tortoise starts at a position of 1.0 m and moves with an average speed of 1.25 m/s for 3.0 s, what is the final position of the tortoise? Cintia, in a 100 m race, has an average speed of 1.25 m/s. What was her race time? 5. Angel runs a marathon with an average speed of 5 miles/hour. How long did it take to finish?​

Answers

Answer:

(1). His final position is 1.5 m.

(2). The final position of the hedgehog is 3 m.

(3). The final position of the tortoise

(4). Her race time is 80 sec.

(5). It take to finish in 5 hr.

Explanation:

(1). Given that,

Initial position = 0 m

Average speed = 0.50 m/s

Time = 3.0 s

We need to calculate the final position

Using formula of average speed

[tex]v_{av}=\dfrac{x_{f}+x_{i}}{t}[/tex]

Where, [tex]x_{f}[/tex] = final position

[tex]x_{i}[/tex] = Initial position

t = total time

Put the value into the formula

[tex]0.50=\dfrac{x_{f}+0}{3.0}[/tex]

[tex]x_{f}=0.50\times3.0[/tex]

[tex]x_{f}=1.5\ m[/tex]

(2). Given that,

Initial position = 0 m

Average speed = 0.75 m/s

Time = 4.0 s

We need to calculate the final position

Using formula of average speed

[tex]v_{av}=\dfrac{x_{f}+x_{i}}{t}[/tex]

Put the value into the formula

[tex]0.75=\dfrac{x_{f}+0}{4.0}[/tex]

[tex]x_{f}=0.75\times4.0[/tex]

[tex]x_{f}=3\ m[/tex]

(3). Given that,

Average speed = 1.25 m/s

Time = 3.0 sec

Initial position = 1.0 m

We need to calculate the final position

Using formula of average speed

[tex]v=\dfrac{x_{f}+x_{i}}{t}[/tex]

Put the value into the formula

[tex]1.25=\dfrac{x_{f}+1.0}{3.0}[/tex]

[tex]x_{f}=1.25\times3.0-1.0[/tex]

[tex]x_{f}=2.75\ m[/tex]

(4). Given that,

Average speed = 1.25 m/s

Distance = 100 m

We need to calculate the time

Using formula of time

[tex]t=\dfrac{d}{v}[/tex]

Put the value into the formula

[tex]t=\dfrac{100}{1.25}[/tex]

[tex]t=80 sec[/tex]

(5). Given that,

Average speed = 5 miles/hr

Suppose, distance = 25 miles

We need to calculate the time

Using formula of time

[tex]t=\dfrac{d}{v}[/tex]

Put the value into the formula

[tex]t=\dfrac{25}{5}[/tex]

[tex]t=5\ hr[/tex]

Hence, (1). His final position is 1.5 m.

(2). The final position of the hedgehog is 3 m.

(3). The final position of the tortoise

(4). Her race time is 80 sec.

(5). It take to finish in 5 hr.

Different colors of light are associated with different wavelengths.

Answers

Answer:

yepp

Explanation:

you sure is right

Does density depend on the amount of stubstance that you have ? explain your answer

Answers

No Density does not depend on the amount of substance you have because density is the ratio of mass and volume in an object

Calculate the net force (N) acting
on an object with the following: 5 N
to the right and 10 N to the left.

Answers

Answer:

Explanation:

its unbalanced

A ball of mass m is found to have a weight Wx on Planet X. Which of the following is a correct expression for the gravitational field strength of Planet X?

Answers

Answer:

B . The gravitational field strength of Planet X is Wx/m.

Explanation:

A ball of mass m is found to have a weight Wx on Planet X. Which of the following is a correct expression for the gravitational field strength of Planet X?

A . The gravitational field strength of Planet X is mg.

B . The gravitational field strength of Planet X is Wx/m.

C . The gravitational field strength of Planet X is 9.8  N/kg.

D . The gravitational field strength of Planet X is m.Wx.

Step 1: Given data

Mass of the ball: m

Weight of the ball on Planet X: Wx

Gravitational field strength of Planet X: g

Step 2: Determine which is a correct expression for the gravitational field strength of Planet X

According to Newton's second law, the acceleration (a) of an object is directly related to the net force (F) and inversely related to its mass (m), which is seen in the following expression.

a = F/m

In our case, the net force is represented by the weight of the ball on Planet X and the acceleration is that due to the gravitational field strength of Planet X. The resulting expression is:

g = Wx/m

Here, we are required to provide a correct expression for the gravitational field strength of planet X where a ball of mass m is found to have a weight Wx.

A correct expression for the gravitational field strength of planet X is; Wx/m.

The mass of an object, m is a measure of the quantity of matter present in the object. Mass is therefore constant irrespective of location.

However, the weight of an object, W is a measure of the gravitational field strength of the object as quantified by the acceleration due to gravity of that location.

The mathematical relationship between the Weight of an object, it's mass and the gravitational field strength is as follows;

Wx = m × a

Since acceleration due to gravity a, is a measure of the gravitational field strength, an expression that represents the gravitational field strength of planet X is;

a = Wx/m

Read more:

https://brainly.com/question/21335480

create a body composition and agility chart.

PLEASE HELP
And also help me with my math and my brother work.
PLEASE ​

Answers

Answer:

I think this is something you're looking for so I hope they help

Explanation:

A cars momentum is p when it’s traveling with a velocity of v. If the velocity of that car doubles, what is the new momentum of the car

Answers

Answer:

2p

Explanation:

I just did it

Answer:

2p

Explanation: just did it in Edgen

What is the acceleration of the object at t = 4s?

Answers

Answer:

no answer of this bcuz to find aclleration.initial velocity and final velocity too... I think question is wrong

If you find a solid-surface world in our solar system with few craters, what has occurred there?

Answers

Answer:

Bruh

Explanation:

I think

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