Sam stands on a 20 m high cliff and throws a 45 g rock with an initial velocity of 5 m/s [forward] to the water below. Use the conservation of energy to determine the speed of the rock when it has fallen 12 m.

Answers

Answer 1

Answer:

v = 12.52 [m/s]

Explanation:

To solve this problem we must use the energy conservation theorem. Which tells us that potential energy is transformed into kinetic energy or vice versa. This is more clearly as the potential energy decreases the kinetic energy increases.

Ep = Ek

where:

Ep = potential energy [J] (units of joules]

Ek = kinetic energy [J]

Ep = m*g*h

where:

m = mass of the rock = 45 [g] = 0.045 [kg]

g = gravity acceleration = 9.81 [m/s²]

h = elevation = (20 - 12) = 8 [m]

Ek = 0.5*m*v²

where:

v = velocity [m/s]

The reference level of potential energy is taken as the ground level, at this level the potential energy is zero, i.e. all potential energy has been transformed into kinetic energy. In such a way that when the Rock has fallen 12 [m] it is located 8 [m] from the ground level.

m*g*h = 0.5*m*v²

v² = (g*h)/0.5

v = √(9.81*8)/0.5

v = 12.52 [m/s]


Related Questions

20pts
Physics wave.
Plz answer with explanation there are total 4 question

Answers

Answer:

where are the questions?

Could you pick up a nail using the curved part of the horseshoe magnet farthest from the poles?

Answers

Answer & Explanation:

One can pick up a nail using the curved part of the horseshoe magnet farthest from the poles. A horse shoe magnet has magnetic fields all around it. In the presence of magnetic force fields, any magnetic object will be attracted to it.

One can pick up a nail using the curved part of the horseshoe magnet farthest from the poles.

What is magnet?

A substance which is negative charged at one end and positive charged at another end creating the magnetic field around it.

A nail is a magnet which can attract the particle which are charged.

A horse shoe magnet also has magnetic fields around it. In the presence of magnetic force fields, any magnetic object will be attracted to it.

Thus. one could pick up a nail using the curved part of the horseshoe magnet farthest from the poles.

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Similarities and differences between natural and synthetic for sugar

Answers

Answer:

THE REAL STUFF

For starters, sugar is sugar, no matter how it’s marketed, priced or packaged.  All sugar offers the same number of calories, although some may be less processed. It seems like every third day a “new” natural sugar emerges as the next best thing. Take for example, the increasingly popular coconut sugar or maple sugar, which are actually just fancy names with a heftier price tag for one ingredient: sugar. Your body can’t tell the difference between raw coconut sugar or processed table sugar, all sugar is metabolized and digested the same. While some more natural forms of sugar may contain a bit more minerals and haven’t undergone as much refinement, they really aren’t any healthier.

THE ARTIFICIAL STUFF

The most popular artificial sweeteners include sucralose (Splenda), aspartame (Equal) and saccharin (Sweet’N Low), neotame, and acesulfame-K are found in diet sodas, light yogurts or ice creams, sugar-free chewing gums and candies among other products. They’re oftentimes marketed as diet, sugar-free, calorie-free, low-calorie, skinny or light.

Artificial sweeteners are man-made, unnatural chemical compounds that our body doesn’t understand or know how to metabolize.  Some scientific evidence suggests artificial sweeteners may cause brain cancer or slow down metabolism – although most of these studies have been tested on animals, never humans.

Or what about the theory that eating alternative sweeteners makes you more inclined to eat a) a whole bag of sugar-free candies at one time, and b) overindulge in junk food later. Plus, certain types of sugar alcohols or sugar substitutes contain hard-to-digest ingredients that can manifest in symptoms of gastrointestinal discomfort, like bloating, gas, cramping, diarrhea, or even constipation.

There is no difference, not in any useful sense. Anything you might call sugar is one of a handful of molecules; sucrose, glucose = dextrose, fructose, maltose, and several others. Sucrose is the molecule most commonly meant by “sugar”.Your body doesn’t know or care where these molecules have come from. The sugar could be largely avoided while still getting the other benefits of plant-based foods.

A dumptruck filled with sand moves 1.8 km/h when it begins to accelerate uniformly at a constant rate. After traveling 4.0  102 m, the truck's speed is 24.0 km/h. What is the magnitude of the truck's acceleration?

Answers

The acceleration of the truck is obtained from the calculation done as  0.055 m/s^2.

What is the magnitude of the truck's acceleration?

We know that the acceleration is defined as the rate of the change of the velocity of the object with time and we can be able to obtain the acceleration by the use of the equations of kinematics as usual.

Initial velocity =  1.8 km/h  or 0.5 m/s

Final velocity = 24.0 km/h or 6.67 m/s

Distance covered = 4.0 * 10^2 m

Then;

v^2 = u^2 + 2as

v = final velocity

u = initial velocity

a = acceleration

s = distance covered

a = v^2 - u^2/2s

a = (6.67)^2 - (0.5)^2/2 *  4.0 * 10^2

a = 44.4 - 0.25/800

a = 0.055 m/s^2

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Reese can run 10 meters in 5 seconds

Answers

Answer: 2 m/s

Explanation:

Divide 10 meters by 5 seconds

In which situation is the net force on the object equal to zero?


A.) a bicycle moving at a constant speed on a straight, level road

B.) an automobile braking to a stop

C.) a satellite moving at a constant speed around Earth in a circular orbit

D.) a pitched baseball being hit by a bat

Answers

Answer:

A.) a bicycle moving at a constant speed on a straight, level road.

Explanation:

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

[tex] F = ma[/tex]

Where;

F represents force measured in Newton.

m represents the mass of an object measured in kilograms.

a represents acceleration measured in meter per seconds square.

In Physics, when the net force acting on a body or an object is equal to zero (0); the body or object is said to be in a state of equilibrium because it is not accelerating. This ultimately implies that, an object whose net force is equal to zero is either moving with a constant speed or the object is static i.e not moving at all.

In this scenario, the situation in which the net force on the object is equal to zero would be a bicycle moving at a constant speed on a straight, level road because it is at equilibrium and as such its resultant force is equal to zero.

The net force on the object (bicycle) is zero due to its constant speed on a straight levelled road. Hence, option (A) is correct.

The given problem is based on the Newton's second law to define net force. The net force on any object is an external effort by which the object change its speed with respect to time or tends to change the state of its motion. The mathematical expression for the net force is,

F = ma

Here, F is the net force, m is the mass of object and a is the acceleration of object.

When the net force acting on a body or an object is equal to zero , then the body or object is said to be in a state of equilibrium because it is not accelerating. This ultimately implies that, an object whose net force is equal to zero is either moving with a constant speed or the object is static i.e not moving at all.

In the given problem the net force on the object is equal to zero would be a bicycle moving at a constant speed on a straight, level road because it is at equilibrium and as such its resultant force is equal to zero.

Thus, we conclude that the net force on the object (bicycle) is zero due to its constant speed on a straight levelled road. Hence, option (A) is correct.

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name the metal which form the filament of an electric bulb. what is the function of contact wire in bulb.​

Answers

Incandescent light bulbs consist of an air-tight glass enclosure (the envelope, or bulb) with a filament of tungsten wire inside the bulb, through which an electric current is passed. Contact wires and a base with two (or more) conductors provide electrical connections to the filament.

Answer:

tungsten wire

Incandescent light bulbs consist of an air-tight glass enclosure (the envelope, or bulb) with a filament of tungsten wire inside the bulb, through which an electric current is passed. Contact wires and a base with two (or more) conductors provide electrical connections to the filament.

A 30 kg object has a frictional force of 60 N. It's coefficient of friction must be...?
A) 0.2
B) 2
C) .002
D) 20

Answers

mass = 30kg

frictional force = coefficient of friction * (mass * g)

g = 9.8 m/s^2

So:

60N = x * 294 N

x = 60 N / 294 N = 0,2

You are making s'mores with a friend. When you heat the marshmallow over the fire, what happens to the volume of the air bubbles inside the marshmallows? *

Answers

Answer:

Heat was trapped within the marshmallow.

Explanation:

Increasing temperatures make air contained within the marshmallow extend to fill up more room, causing the versatile sugar combination to spread. Eventually, if there is so much tension? It's small explosion. But take the marshmallow out from the heat, and it's going to deflate even if the extended gelatin does not really recover quickly.

Answer:

Heat gets trapped within the marshmallow.

Explanation:

why would a rocket fall vertically downwards if it was launched vertically upwards​

Answers

Answer:

It would because the shape of the rocket is designed to be able to slice through the air as smooth as possible and now you may be thinking that air is already smooth but when you try to push something as large and heavy like a rocket then the shape of the rocket will be very important. The bottom of the rocket is flatter then the top so it is not designed to fly smoothly through the air. So the rocket would fall vertically downward(If it was still in one piece)because of it's shape. It is easier for the top of the rocket to go smoothly through the air then the bottom.

Explanation:

I am 90% sure this is correct but if I'm not please tell me

To solve this we must be knowing each and every concept related to rocket. Therefore, a rocket fall vertically downwards if it was launched vertically upwards​ because the bottom of a rocket is flatter than the top.

What is rocket?

A rocket is indeed a vehicle that accelerates by employing jet propulsion rather than the surrounding air. A rocket engine generates thrust by reacting to high-speed exhaust.

The reason would be that the shape of a rocket is meant to slice through air as smoothly as possible. You may assume that air already is smooth, but when we try to push anything as massive and heavy as a rocket, the shape of a rocket becomes quite crucial.

Because the bottom of a rocket is flatter than the top, it isn't designed to glide through the air gracefully. Because of its form, the rocket will fall vertically downward . The tip of the rocket travels more smoothly in the air than the bottom.

Therefore, a rocket fall vertically downwards if it was launched vertically upwards​ because the bottom of a rocket is flatter than the top.

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A sample of oxygen gas occupies a volume of 5.0L at 90kPa pressure. What volume will it occupy at 145kPa?

A. 3.10
B. 5.10
C. 7.0
D. 2.5​

Answers

Answer:

The answer is option A

Explanation:

The new volume can be found by using the formula for Boyle's law which is

[tex]P_1V_1 = P_2V_2[/tex]

Since we are finding the new volume

[tex]V_2 = \frac{P_1V_1}{P_2} \\[/tex]

From the question we have

[tex]V_2 = \frac{5 \times 90000}{145000} = \frac{450000}{145000} = \frac{450}{145} \\ = 3.103448...[/tex]

We have the final answer as

3.10 L

Hope this helps you

A stone is thrown straight up in the air. If g represents the acceleration due to
gravity, which one of the following statments about the stone is false?
When the stone reaches the top of its flight, its acceleration is still g.
As the stone rises, its potential energy decreases.
When the stone reaches the top of its flight, its energy is zero.
As the stone rises, it is accelerated downward.
As the stone rises, its kinetic energy decreases.

Answers

Answer:

The correct false statement is;

As the stone rises, its potential energy decreases

Explanation:

When the stone is thrown straight up into the air, the initial velocity, u, progressively decreases according to the following equation;

v = u - g·t

Where;

v = The final velocity

g = The acceleration due to gravity = 9.81 m/s²

t = The time taken

Therefore whereby, the kinetic energy. K.E. is given by the equation , K.E. = 1/2 × m × u², as u reduces, the kinetic energy reduces

However, the potential energy, P.E. is given as P.E. = m × g × h

Where;

h = Height

m = The mass of the stone

Therefore, as the stone rises, the potential energy increases.

HELP! The question is in the photo

Answers

A and b!!!!! Hope that help

Choose ALL that apply: Read the story below and choose every sphere shown directly in the story. A volcano erupts on a mountain side. It creates a huge cloud of smoke and ash which block out the sun, making it harder for plants to grow.
Question 3 options:

Biosphere

Geosphere

Hydrosphere

Atmosphere

Answers

Answer:

biosphere

Explanation:

pretty sure bc it is ground

Biosphere is the correct answer

What is the amount of work required to increase a 1100 kg car's speed from 20.0 m/s to 50.0 m/s?

Answers

La policía de los estados miembros se ha convertido de

A stunt man launches a car from the edge of a cliff horizontally. If he is launching off a
30-meter high cliff and must hit a mark 268-meters down range, with what speed
must he leave the cliff?

Answers

Answer:

All i got to say is that he is dead dead

Explanation:

Location A on the surface of Earth bas a much higher temperature than Location Which statement is most likely true A.Both locations are at the poles B.Both are at the equator C.Location A is at the equator and Location B is the poles D.Location at the poles and location B is the equator

Answers

Answer:

The anwser is b

Explanation:

Answer:

the answer is B

I know  because i just did it


1. A television set falls from rest from a bridge 100m above the river surface.

Answers

Answer:

It would break because how fast and how tall the fall is because at a certain hight water can act like a solid and break your body/bones or you could die

its a do or die situation

Explanation:

40 points and brainliest plz helppp luv yah thxx
A car moving at 10 m/s slows to a stop. It moves 25 meters forward while braking.
1. What is its braking acceleration?
Explain how you found your answer.

2. How much time does it take to slow to a stop?
Explain how you found your answer.

Answers

Answer:

hey want you to separate the energy’s and put them in the categories they go in like why are They different what is chemically different about them? Etc.why do they act differently.. do they act the same in some ways? Think about that

Explanation:

please help me quickly

Answers

Answer:

not moving

Explanation:

Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives head first, hitting the ground at 6.75 m/s and reaching the base with a speed of 5.91 m/s, accelerating at -5.11 m/s 2 . Determine the distance Rickey slides across the ground before touching the base. How much time is he sliding for before touching the base?

Answers

Answer:

The distance is 1.04 m and time is 0.16 seconds.

Explanation:

Initial speed, u = 6.75 m/s

Final speed, v = 5.91 m/s

Acceleration, a = -5.11 m/s²

We need to find the distance Rickey slides across the ground before touching the base and the time he sliding for before touching the base.

Let d is the distance. It can be calculated using third equation of motion as follows :

[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{(5.91)^2-(6.75)^2}{2\times (-5.11)}\\\\d=1.04\ m[/tex]

Let t is the time he slides for before touching the base. Using first equation of motion as follows :

[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{5.91-6.75}{-5.11}\\\\t=0.16\ s[/tex]

So, the distance is 1.04 m and time is 0.16 seconds.

find acceleration of block and tension in strings if m1 =8kg m2= 4kg and take g=10m/s²​

Answers

[tex]\large\bold{\underline{\underline{Given:-}}}[/tex]

[tex]\sf{m_1}[/tex] = 8kg

[tex]\sf{m_2}[/tex] = 4kg

g = 10m/s²

[tex]\large\bold{\underline{\underline{To \: Find:-}}}[/tex]

→Acceleration of block

→Tension in strings

[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]

Let, the two equation will be ,

[tex]\leadsto[/tex] 8g - T = 8a ..... Equation no (1)

[tex]\leadsto[/tex] T - 4g = 4a ..... Equation no (2)

Putting the value of equation no (1) and (2) we get,

[tex]\implies[/tex] 4g = 12a

[tex]\implies[/tex] 4 × 10 = 12a

[tex]\implies[/tex] 40 = 12a

[tex]\implies[/tex] a = [tex]\sf\dfrac{\cancel{40}}{\cancel{12}}[/tex]

[tex]\dashrightarrow[/tex] a = [tex]\dfrac{10}{3}[/tex]

Again, we have to putting the value of a in the equation no (2) we get,

[tex]\implies[/tex] T - 4g = 4 × [tex]\dfrac{10}{3}[/tex]

[tex]\implies[/tex] T - 4 × 10 = 4 × [tex]\dfrac{10}{3}[/tex]

[tex]\implies[/tex] T - 40 = [tex]\dfrac{40}{3}[/tex]

[tex]\implies[/tex] T = [tex]\dfrac{40}{3}[/tex] + 40

[tex]\implies[/tex] T = [tex]\dfrac{40 + 120}{3}[/tex]

[tex]\dashrightarrow[/tex] T = [tex]\dfrac{160}{3}[/tex] N

[tex]\therefore[/tex] Acceleration of block = [tex]\dfrac{10}{3}[/tex] m/s².

And, Tension in strings = [tex]\dfrac{160}{3}[/tex] N

Which question can be used to identify a physical property of an element?

a) Does a magnet attract the element?
b) Does rust form when the element is exposed to oxygen?
c) Do bubbles form when the element is mixed with an acid?
d) Does the element burn when held over a Bunsen burner flame?

Answers

Answer:

C. Do bubbles form when the element is mixed with an acid?

Explanation:

all the other options are incorrect because they are

"Does a magnet attract the element?" is the question that can be used to identify a physical property of an element, because the magnetic behavior of any material is purely a physical property of that material.

Therefore, the correct answer is option A.

What is a magnetic field?

A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.

Since the magnetic behavior of any substance is solely a physical feature of that material, the question "Does a magnet attract the element?" can be used to determine a physical attribute of an element.

Thus, the correct answer is option A.

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A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration 53.9 m/s2 . The acceleration period lasts for time 6.00 s until the fuel is exhausted. After that, the rocket is in free fall.

Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to 9.80 m/s2 .

Answers

Answer:

maximum height reach by rockect =970.2metre

Explanation:

Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the
material.

Answers

I would say 5.6 to the 4 and I’ll I did was add it to both side

We have that for the Question "Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the material." it can be said that

From the question we are told

Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the  material.

Generally the equation for the  index of refraction  is mathematically given as

[tex]n=\frac{C}{v}\\\\Therefore\\\\n=\frac{3*10^8}{2.5 * 10 }\\\\n=12000000\\\\[/tex]

Therefore

The  index of refraction  of the material is

n=12000000

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If you are in a car at a stop sign and then the driver
presses on the gas pedal really hard, which way is the car
accelerating?

Answers

Answer:

it wont be because the hand brake would be on

The car is accelerating forward.

Scientists have invented the equipment to harness the power of lighting for energy use. True or false

Answers

I think it’s false .
Let me know if it’s incorrect .

Every spring has an equilibrium

Answers

R u asking if thats true or false or what?

What is the height of a 50 kg person that has a potential energy of 4900J?

245,000m

98 m

10 m

Answers

Answer:

10 m

Explanation:

PE = mgh

m = 50kg

g= 9.8 m/s^2

h=?

so,

4900= 50×9.8× h

50h = 4900/9.8

50h = 500

h = 10 m

Which device converts chemical energy directly into electrical energy?




A.

A battery


B.

A generator


C.

A light bulb


D.

A motor

Answers

Answer:

A

Explanation:

Name me brainliest plzzzzz

A battery has it's energy stored in form of chemical energy which is active in it's materials, and can be converted into electric energy on demand . electrical energy then flows in form of a current in circuits. The correct answer is A battery.
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