Dennis the Menace uses his slingshot to shoot a small rock at his neighbor's flowerpots. The rock travels a distance of 12.5 cm from the point at which he pulls it back to the point at which it leaves the slingshot. It leaves the slingshot at a velocity of 6.24 m/s. Find the average acceleration of the rock.

Answers

Answer 1

Answer:

[tex]a=155.750\ m/s^2[/tex]

Explanation:

It is given that,

A small rock is shoot at Dennis' neighbor's flowerpots. The rock travels a distance of 12.5 cm from the point at which he pulls it back to the point at which it leaves the slingshot.

Final velocity of the rock, v = 6.24 m/s

The initial velocity of the rock, u = 0 (as it was at rest)

Let a is the acceleration of the rock. It can be calculated using the equation of kinematics as follows :

[tex]v^2-u^2=2ad\\\\\text{Put u = 0 }\\\\v^2=2ad\\\\a=\dfrac{v^2}{2d}\\\\a=\dfrac{(6.24)^2}{2\times 12.5\times 10^{-2}}\\\\a=155.750\ m/s^2[/tex]

So, the average acceleration of the rock is [tex]155.750\ m/s^2[/tex].


Related Questions

A water wave has a frequency of 8 hertz and
a wavelength of 4 meters. What is its speed?

Answers

Answer:

6 is the speed.

Explanation:

Answer:

32 m/s

Explanation:

the formula to find speed is to either multiply the wavelength by the frequency or divide the wavelength by the period. Thus the frequency of 8 times the wavelength of 4 would be 32 meters per second.

Ahab has been sent to the shops by his mother. The shops are 1200 m from his
home. If Ahab can run at an average speed of 6 m/s, how long will it take him
5
to reach the shops?

Answers

Answer:

it will take him 200secs to run to the shops

(btw 200 seconds is 3minutes and 20secs)

Explanation:

distance = speed x time

time = distance / speed

1200 ÷ 6 = 200

time = 200seconds

hope this helps

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hello people ~
During dry weather, while combing hair, sometimes we experience hair flying apart. The force responsible for this is

(a) force of gravity.

(b) electrostatic force.

(c) the force of friction.

(d) magnetic force.

Answers

Answer:

Electrostatic force

Explanation:

When we comb the hair

The comb gets positively charged.The hair got negatively chargedSo they get attracted and share electrons so that because of electrostatic force

direction of the sum of the two vectors

Answers

Explanation:

V² = Vx² + Vy²

= [ 9.66 cos (0) ]² + [ 12 cos (135) ]²

= 165.31

V = root 165.31 = 12.85

can you please mark my answer brainliest ♥️...

The direction of the sum of vectors A and B is approximately 22.9 degrees north of east.

To find the direction of the sum of vectors A and B, we can use trigonometry to determine the angle with respect to the positive x-axis (east direction). The given vectors A and B have magnitudes and directions as follows:

Vector A: Magnitude = 9.66 m, Direction = East

Vector B: Magnitude = 12.0 m, Direction = Northwest (which is 45 degrees north of west)

To find the resultant vector's direction, we need to add the angles of the two vectors. The angle between the positive x-axis and vector A is 0 degrees (east direction), and the angle between the positive x-axis and vector B is 45 degrees (northwest direction). Therefore, the angle between vector A and the resultant vector is 0 degrees, and the angle between vector B and the resultant vector is 45 degrees.

To find the angle of the resultant vector with respect to the positive x-axis (east direction), we can use the tangent function:

Tan(Angle)= Opposite/Adjacent​ = Magnitude of Vector A/Magnitude of Vector B

Taking the inverse tangent (arctan) of both sides:

Angle = arctan (9.66/12.0)≈22.9 degrees

So, the direction of the sum of vectors A and B is approximately 22.9 degrees north of east.

To learn more about vectors, here

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The Sankey diagrams below show the
energy transfers in two light bulbs. The
useful energy output for these light
bulbs is carried to the energy stores of
the environment by
What
is the missing word?
1
8ØJ
Input energy
4ØJ
Useful energy
2
8ØJ
Input energy
1ØJ
Useful energy

Answers

The useful energy output for these light bulbs is carried to the energy stores of the environment by light waves.

Useful energy

The useful energy from the two light bulbs is the energy that is beneficial and consumed. This energy is said to be used to do meaningful work.

The useful energy from the two light bulbs illuminates the environment and enables us to see in the dark.

What is Light wave?

A light wave is a type of electromagnetic wave that carries light energy. This light wave carries visible light into the environment.

The light from the two lights bulbs are visible lights and thus, the useful energy output for these light bulbs is carried to the energy stores of the environment by light waves.

Learn more about light waves here: https://brainly.com/question/1363382

A 20 kg block slides across a horizontal surface if the coefficient of kinetic friction between the block and the surface is 0.20, what is the force of kinetic friction that acts on the block

Answers

Answer:

I got:

u

s

=

0.51

F

=

78.4

N

Explanation:

At the start the  

100

N

force is just enough to overcome static friction so we can write:

Force

=

Static Friction

F

=

μ

s

N

where  

μ

s

is the coefficient of static friction and  

N

=

Normal Reaction that in an horizontal case such this will be equal to the weight of the block, so  

N

=

m

g

.

We get:

F

=

μ

s

m

g

in numbers:

100

=

μ

s

20

9.8

μ

s

=

100

20

9.8

=

0.51

A graph of KE vs the mass of an object is __.

Answers

A graph of KE (kinetic energy) vs the mass of an object is a line, as we know that the kinetic energy depends linearly on the mass of the object.

What is kinetic energy?

For an object of mass M moving with velocity v, we define its kinetic energy as:

KE = (M/2)*v^2

We can rewrite it as:

KE = (v^2/2)*M

So, it is a "coefficient" (if we assume that the velocity is constant) times the mass. That gives a linear relationship.

Then we conclude that the kinetic energy depends linearly on the mass, which means that the graph of KE vs the mass of an object is a line.

If you want to learn more about kinetic energy, you can read:

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unit measure for time

Answers

If you are using the M.K.S system, the answer is seconds

1. A ball is thrown downward with an initial speed of 22 m/s on Earth. a. What is the acceleration of the ball? b. Calculate the displacement during the first 4 s. c. Calculate the time required to reach a speed of 60 m/s.​

Answers

Answer:

Explanation:

The acceleration of the ball would be due to the downward force of gravity, 9.8m/s^2. In order to find the displacement given that interval of time, you have to use the corresponding kinematic formula:

[tex]d=v_it+at^2/2[/tex]

The initial velocity was given, the time was given, and the acceleration was given. Therefore:

[tex]d=(22m/s)(4s)+(9.8m/s^2)(4s)^2/2[/tex]

[tex]d=166.4m[/tex]

To find the required time given a desired final velocity, we can use:

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

[tex]60m/s=22m/s+(9.8m/s^2)(t)[/tex]

[tex]38=9.8t[/tex]

[tex]t=3.9s[/tex]

Two projectiles are fired at equal speeds but different angles. One is fired at angle of 30 degrees and the other at 60 degrees. The projectile to hit the ground first will be the one fired at (neglect air resistance) ____.

Answers

Answer:

14 degrees

Explanation:

because you can divide all and find the angle to find the answer

hope it's help ty make me brainless pls

Nikola Tesla and Thomas Edison were both pioneers when it came providing electricity to the people. Edison had hired the genius Tesla to work for him, but their differences, pride and personalities caused them to compete and publicly insult one another instead of working together. List 5 strategies these two could have used to help them work with others they disagree with.

Answers

Explanation:

In other to avoid a situation where their differences, pride, and personalities caused them to compete and publicly insult one another instead of working together they need to respectfully consider the viewpoints of each other, as well as assign individual roles that should be respected.

Quarterback backpedals 2.5 M northward and then runs 6.8 M Southward what is the magnitude and direction of the displacement

Answers

Answer:

4.3

Explanation:

because 6.8 subtracted by 2.5 is 4.3

A sample of liquid nitrogen has a temperature of –320.8 °F. What is its temperature in degrees Celsius and in kelvins?

Answers

Answer:

Celsius: -36 degrees. Kelvin: 237.15 degrees.

Explanation:

Do the formula by multiplying the number by the formula it is selected to.

Calculate the momentum of a 0. 145 kg baseball being thrown at a speed of 40. 0 m/s

Answers

momentum = mass * velocity
(aka p=mv)

p=0.145*40
p= 5.80 kg m/s

Please help me I’ll mark you as Brainly


PLSSSS

Answers

Answer:

D

Explanation:

Since Ball X accelerates at 8m/s2, its acceleration will be doubled. A faster acceleration means the least mass.

Giving brainlist plz help it for my civics class

What was the purpose of Thomas Paine's Common Sense?

A. To tell the king that America was now independent
B. To inform colonists about British injustices
C. To convince the colonists to separate from England

Answers

Answer:

it's either A or B

Explanation:

he argued two main points (1)independence from England (2)the creation of a democratic republic.

calculate the density if a body has a mass of 0.7kg and volume of 1l​

Answers

Answer:

The answer is 0.7 kg/L

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\ [/tex]

From the question

mass = 0.7 kg

volume = 1 L

We have

[tex]density = \frac{0.7}{1} \\ [/tex]

We have the final answer as

0.7 kg/L

Hope this helps you

some tip to heal up eyes?

Answers

Answer:

DO rinse your eye with saline solution or clean water. ...

DO blink. ...

DO pull your upper eyelid over your lower eyelid. ...

DO wear sunglasses. ...

DON'T rub your eye. ...

DON'T touch your eye with anything. ...

DON'T wear your contact lenses. ...

DON'T use redness-relieving eye drops.

You can get eye drops or any healing solution from your eye doctor!

Find the acceleration of a car with a mass of 1,200 kg and a force of 11,000 N.
Please help

Answers

Answer:

9.17 m/s^2

Explanation:

Formula for force is given by

F = m*a

where F is the force in newton

m is the mass of body in KG

and

a is the acceleration of body on m/s^2

_______________________________________________

Given

F = 11,000

mass = 1,200 Kg

we have to find value of acceleration

using

F = m*a

11,000 = 1200*a

=> a = 11,000 /1200 = 9.17

Thus, the acceleration of a car is 9.17 meter per second square

Usain Bolt ran the 100m dash in 9.69 seconds. How fast does he run in the 100m dash?​

Answers

The answer is in the question, it’s 9.69

If Sam pushes a table with a force of 15 N and it moves a distance of 2 m, how much work did Sam do on the table?

30 J
7.5 J
13 J
17 J

Answers

The computation of the work done is gotten by multiplying the force and distance whish will be A. 30J.

How to calculate work done?

It should be noted that the formula for calculating work done is given as:

Work = Force × Distance

where,

Force = 15N

Distance = 2m

Therefore, work done will be:

= Force × Distance

= 15N × 2m

= 30 Joules.

In conclusion, the work done is 30 Joules.

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4. A girl places a stick at an angle of 60.0° against a flat rock on a frozen pond. She pushes at an angle and moves the rock horizontally for 2.00 m across the pond at a velocity of 4.00 m/s and a power of 160.0 W. What force did she apply to the stick? How much work did she do? Your response should include all of your work and a free-body diagram

Answers

Answer:

Below!

Explanation:

I. I Think you should add it up or divide. And I think. You get your answer

Which planet moves the fastest and which planet moves slowest?

Answers

D is the one moving fastest because it is at the perihelion, where it’s pace is fastest and c is the one that is moving slowest because it is at the aphelion, the position where it is slowest.

What includes the distance and time at a specific moment?

Answers

Answer:

s = ut + 1/2 att (that's "t" squared), where

s = distance travelled - in metres

u = initial velocity - in meres per second

a = acceleration - in metres per second squared, i.e. metres per second increase in acceleration, per second

t = time taken  - in seconds

Explanation:

Time, "t",  at a specific moment is a resolved variable, i.e. we know the value, so the equation needs to show distance "s" at that specific time "t". The basic equation is for fixed initial position (when t = 0) , where distance ,"s", = "0", fixed initial velocity, "u", ( at t = 0, s = 0 ) - which can be zero or a value, and fixed (constant) acceleration, "a", ( from t = 0, s = 0, through to t = "specific moment", s = "the answer" ) - which can be zero or a value.

Which of the following is the definition of Specific Heat? Which of the following is the definition of Specific Heat? The movement of thermal energy from a warmer object to a colder one. The average kinetic energy of the participles in a sample. The amount of energy needed to raise the temperature of 1 gram of a substance 1 degree Celsius.

Answers

The amount of energy needed to raise the temperature of 1 gram of a substance by 1 degree Celsius



1. Old Faithful is a geyser in Yellowstone National Park. This geyser erupts when hot water from
underground shoots up into the air through an opening in the ground. When this happens, the ground
surrounding the water increases in temperature. What happens to the molecules in the ground when
he temperature increases?

a
More heat molecules combine with the molecules in the ground.

b
The energy of the molecules in the ground decreases.

c
The energy of the molecules in the ground increases.

d
The cold energy of the molecules in the ground decreases.

Please help thanks!!

Answers

Answer:

c

Explanation:

i just did the test

The energy of the molecules in the ground increases in the given case when the temperature increases.

• The heat of the Earth is released in both conduction and convection in Yellowstone Park.  

Conduction takes place when the transferring of heat takes place from something hot to something cold.  

• On the other hand, convection takes place when the transferring of heat takes place by the movement of hot gases or liquids like water, air, or magma to a cooler region.  

• The same phenomenon takes place underneath the Yellowstone. The convection of the molten rock in the magma chamber underneath transfers heat via the caldera of Yellowstone.  

• Near the surface of the ground, the convection of heat water results in the hot springs and geysers in the park.  

Thus, when the temperature increases, the energy of the molecules in the ground also increases resulting in the formation of geysers. The correct answer is option c.

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Which statement compares how secondary earthquake waves and soundwaves move? A.Both can move through liquids. B.Neither can move through liquids. C.Secondary earthquake waves can move through liquids, but sound waves cannot. D.Sound waves can move through liquids, but secondary earthquake waves cannot.

Answers

Answer:

D

Explanation:

Secondary earthquake waves is a seismic wave that can travel through solid but cannot travel through liquid and gas.

This wave is one of the fastest traveling seismic waves.

While sound wave can travel through both solid and liquid and even gas.

Therefore, the statement that compares how secondary earthquake waves and soundwaves move is:

Sound waves can move through liquids, but secondary earthquake waves cannot.

The best answer is therefore D

Charges of 5c and −9c are at a distance of 1m from each other. which diagram represents the force between the two charges?

Answers

Diagram (c) represents the force between the two charges. Like charges repel, each other, and unlike charges repel each other.

What is electric force?

The electric force between the two charges is directly propotional to the product of the charge and inversly propotional to the square of the distance between them.

The electric force is found as;

[tex]\rm F = \frac{K q_1q_2}{r^2}[/tex]

Like charges repel, each other, and unlike charges repel each other. Both the charge is of the opposite sign they attract each other.

Hence diagram (c) represents the force between the two charges.

To learn more about the electric force refer to the link;

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You go rock climing with a pack that weighs 70 N and you reach a height of 30m. How much work did you do to lift your pack?​

Answers

Answer:

When u go on a rock climbing, earth exerts gravitational force on pack in downward direction (pointing towards the center of earth).

In order to climb, you need to work against work done by gravity on the pack. Hence work done by you = work done by gravity on pack

= Force x displacement = 70 x 30 = 2100 J.

So you need to do 2100 joules of work to lift your pack.

Power is the rate of work done. Therefore power = work done by you/ time in seconds

=2100/600 =3.5 watts

hence the answers is 3.5 watts.

how is geothermal energy trapped? state a draw back of this kind of energy.​

Answers

Answer:

Geothermal energy can be trapped using geothermal plants that utilizes steam escaping from the earth surface to make electricity.

The limitations include :

depletion of the geothermal sourcehigh costs of investments required for geothermal systems

Explanation:

Geothermal energy originates in form of heat/steam escaping from the inner parts of the earth surface. The steam trapped is converted to electricity through turbines. The hot water pumped by heat pumps can be used to heat homes or for heating purposes in industries.

The limitations of geothermal energy are high initial capital costs for installing the systems, depletion of geothermal sites after sometime, environmental concerns due to greenhouse gases emissions and land requirements for geothermal projects.

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