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

Two forces, F1 and F2, are applied to a block on a frictionless, horizontal surface
as shown below. If the magnitude of the block's acceleration is 2.0 meters per
second2, what is the mass of the block? *
F, = 12 N
F2 =2N
Block
Frictionless surface

Answers

Answer:

F, = 12N. F, = 2 N. Block. 4) a 20.0-kg mass moving at 1.00 m/s.

Explanation:

The mass of the block on the frictionless horizontal surface is 5 kg.

The given parameters;

magnitude of the first force, F₁ = 12 Nmagnitude of the second force, F₂ = 2 Nacceleration of the block, a = 2 m/s²

The mass of the block is determined by applying Newton's second law of motion;

F = ma

[tex]\Sigma F = ma\\\\F_1 - F_2 = ma\\\\12 - 2 = 2m\\\\10 = 2m\\\\m = 5 \ kg[/tex]

Thus, the mass of the block on the frictionless horizontal surface is 5 kg.

Learn more here:https://brainly.com/question/19887955

Write an equation of the line in slope-intercept form.
Please explain.

Answers

Answer:

 y =  [tex]-\frac{1}{4}[/tex]x + 3

Explanation:

The equation of a straight line is given as:

              y  =  mx + c

y and x are the coordinates

m is the slope

c is the y -intercept

 The y-intercept = 3;

Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

x₁ = 0

x₂ = 4

y₁ = 3

y₂ = 2

 Slope = [tex]\frac{2-3}{4 -0 }[/tex]  = [tex]-\frac{1}{4}[/tex]

 

       y = mx + c

       y =  [tex]-\frac{1}{4}[/tex]x + 3

If the same pressure is exerted over a greater area will more of less force result?


more force

less force

the same amount of force

Answers

Answer:

less force

Explanation:

less force because they is increase in area and not enough energy to balance the whole equation

Answer:

the same

Explanation:

Explain a principal of moments of a force

Answers

The principle of moments states that when a body is balanced the total clockwise moment about a point equals the total anticlockwise moment about the same point.Equation.Moment=Force F×perpendicular distance from the pivot do.

Dr. Metallica wants to change the property of an alloy? How could she do this? SELECT ALL THAT APPLY. (Please help!)

A. She could heat the alloy enough that it is malleable.
B. She could change the metal(s) used in the alloy.
C. She could change the percentages of the elements used in the alloy.
D. She could change the nonmetal(s) used in the alloy.

Answers

Answer:

I think itd A

Explanation:

The acronym used when referring to the Big Five Factors is OCEAN. True False

Answers

true

Explanation:

Because I did the test

Answer:

The right answer is True

Calculate the density of a rock that has a mass of 32 grams and a volume of

4.5 mL.

Answers

Answer:

85.2ml

Explanation:

PLZ EXPLAIN THE EQUATION AND I WILL GIVE BRAINLIST You are out and about in the country and your father sees a rock that he really wants in the yard. Now you must get the very heavy rock into the back of a truck. The truck bed is 3 feet off the ground. Your father pulls out a 5-foot plank and begins to set up a ramp. At the same time, you (who know about mechanical advantage!) have found a plank that is 8 feet long, and you show it to your father. Which plank will give you the most mechanical advantage? Calculate the MA for each plank

Answers

Answer:

The 8 foot long plank

Explanation: hope this helps :)

You are twice as likely to become good friends with the person who is in the dorm room next to you than the person two doors down. This is due to:

A. Proximity.
B. Common Interests.
C. Shared Values.
D. Social Background​

Answers

I think A. Proximity
Since the person is closer, you get to see them more often
The correct answer is A

A 5.0kg concrete block accelerates down a 34 degree slope at 4.2 m/s^2. Find the Coefficient of friction between the block and the slope.

Answers

Answer:

The coefficient of friction between the block and the slope is 0.16.

Explanation:

We can find the coefficient of friction between the block and the slope by using Newton's second law:        

[tex] \Sigma F = ma [/tex]

[tex]P_{x} -\mu N = ma[/tex]

[tex] mgsin(\theta) - \mu mgcos(\theta) = ma [/tex]    (1)              

Where:

m: is the mass of the block = 5.0 kg

a: is the acceleration = 4.2 m/s²

θ: is the angle = 34°

μ: is the coefficient of friction =?

g: is the gravity = 9.81 m/s²

By entering the above values into equation (1) we have:

[tex] gsin(\theta) - \mu gcos(\theta) = a [/tex]                  

[tex] \mu = \frac{gsin(\theta) - a}{gcos(\theta)} = \frac{9.81 m/s^{2}*sin(34) - 4.2 m/s^{2}}{9.81 m/s^{2}*cos(34)} = 0.16 [/tex]

Therefore, the coefficient of friction between the block and the slope is 0.16.

I hope it helps you!        

PLZ HELP GUYS PLZ!!!!! The answer is not motion, particles.

Answers

Answer:

Energy

Explanation:

2. If a tricycle has a kinetic energy of 360 J and a mass of 4 kg, what is its velocity?

Answers

Answer:

13.42m/s

Explanation:

0.5 multiply by 4 = 2kg

360J divided by 2kg = 180

square root 180= 13.42m/s

Shown here is a portion of the activity table. Based
on the table, which activity burns the least amount
of calories per hour?
doing aerobics
O jogging
walking

Answers

Answer: The answer is walking. Hope it helps anybody :)

Explanation: The answer to the second question is glycogen and lipids.

Answer:

Walking

Explanation:

Took test

i’ll give a brainliest

Answers

Answer:

hey buddy

Explanation:

Answer:

The net force of the box is 40 Newtons.

Explanation:

There are 50 N of rightward force on the box.

There are 10 N of friction acting upon the box.

50-10=40 N

If the starting population of 5 rabbits grows at 200% each year, how many will there be 50 years?

Answers

Answer:

Alot of god dam rabbits

Explanation:

Answer:

million rabbits becauseeverything

i will give u brainliest!

Answers

Answer:

the answer is b

Explanation:

What tool of dream analysis says that feelings and urges are hidden inside an event? condensation symbolism projection displacement

Answers

Answer:

Condensation

Explanation:

Answer:

Condensation! Hope this helps!!!

Explanation:

The output of a solar panel powers a small pump. The pump operates a garden water fountain. The output of the solar panel is 10 V and the current supplied to the pump is 0.25 A. Calculate the electrical power generated by the solar panel.

Answers

That’s tuff ima get in give me a min

The power generated by solar panel will be "2.7 W".

According to the question,

The values are:

Output of solar panel,

10 V

Current,

0.25 A

The electrical power generated will be:

→ [tex]P = VI[/tex]

By substituting the given values is the above formula, we get

→     [tex]= 10\times 0.27[/tex]

→     [tex]=2.7 \ W[/tex]

Thus the above answer is right.

Learn more about power here:

https://brainly.com/question/16642746

passenger plane is flying above the ground. Describe the two components of its mechanical energy.

Answers

The plane is using engines to fly and the wheels help it land and take off

A dog runs after a car. The car is travelling at an average speed of 5 m/s.
how many seconds does it take the dog to run 20 m?

Answers

Answer:

The answer is 4 s

Explanation:

The time taken can be found by using the formula

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

where

d is the distance

v is the velocity

From the question we have

[tex]t = \frac{20}{5} \\ [/tex]

We have the final answer as

4 s

Hope this helps you

Answer:

4 secs

Explanation:

why speed is a derived quantity?​

Answers

Answer:

Explanation:

The speed is a derived quantity as it being derived from a defined set of quantities through a formula. There are only 7 fundamental quantities which are being defined with their individual fundamental units. Of those, length and time are two of them.Thus, it is a derived quantity

We know that the motion of the Moon around the Earth is due
to centripetal force.Then is the motion of the Earth along with moon around Sun due to centripetal force?

Answers

Answer:

YES

Explanation:

Gravity acts as the centripetal force and the velocity earth has keeps it from falling on the sun.


An object with a mass of 15 kg accelerates 10.0 m/s2 when an unknown force is applied to it. What is the
amount of the force

Answers

Answer:

f=mass × acceleration

=15×10

=150

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:

a net force of 1,800 N is applied to a boat causing it to accelerate at 1.5 m/s^2. what is the mass of the boat?

Answers

Answer:

The answer is 1200 kg

Explanation:

The mass of an object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{1800}{1.5} \\ [/tex]

We have the final answer as

1200 kg

Hope this helps you

On the moon, the gravity is 1/6 that of Earth. While on the moon, Buzz Aldrin carried on his back a support system that would weigh over 1760 N on Earth. a) What did the backpack weigh on the moon? b) What was its mass on the moon? please show the work

Answers

Answer:

a) 293.[tex]\bar 3[/tex] N

b) Approximately  179.41 kg

Explanation:

The given parameters are;

The gravity (gravitational acceleration) on the moon = 1/6 × The gravity on Earth

The weight of the support system Buzz Aldrin carries = 1760 N

a) Given that the weight  of the support system on Earth = Mass of the support system, m × Gravity, g (Acceleration due to gravity) = m·g

The weight  of the support system on Earth = m·g

We have;

The gravity on the moon = 1/6 × g

∴ The weight of the support system on the moon = Mass of the support system, m ×  1/6 × g = m·g/6

∴ The weight on the of the support system on the moon = m·g/6 = 1/6 × m·g = 1/6 × m·g = 1/6 × The weight  of the support system on Earth

The weight on the of the support system on the moon = 1/6 × 1760 N = 880/3 N = 293.[tex]\bar 3[/tex] N

b) The mass, m, of the support system on the moon = The mass, m, of the support system on Earth

The mass, m, of the support system on Earth = Weight of the support system/(Gravity(acceleration due to gravity))

∴ The mass, m, of the support system on Earth = 1760/9.81 ≈ 179.41 kg

∴ The mass, m, of the support system on the moon ≈ 179.41 kg.

A cup is sliding down an inclined surface that is not smooth. What is the correct free body diagram for the body?

Answers

Answer:

Let's see the forces in the cup:

The gravitational force will act in the plane parallel to the inclined surface.

Because the surface is not smooth, we will have a friction force, which direction is opposite to the velocity vector.

The component of the gravitational force perpendicular to the surface is canceled with the normal force, so we will not have that in our diagram.

The correct option is not shown, so i will draw a simple sketch so you can identify the correct option:

Where the direction of the velocity is shown so we can know the direction of the friction force,

And we assume that both forces are applied on the center of mass, this is an oversimplified case, but this is the approach we usually take in this type of problems.

Answer:

For me it was B.    Fn is going to the NW.  Ff is going NE. Fg is going straight down.

Explanation:

You try to hit an annoying pigeon by throwing a ball straight up into the air with a velocity of 16 m/s. What is its velocity 0.5s into flight?

Answers

Answer:

20.9 m/s

Explanation:

Given that,

Initial velocity, u = 16 m/s

We need to find its velocity 0.5 s into flight when a ball straight up into the air. Let it is v. It will move under the action of gravity. Using first equation of motion to find it as follows :

v=u+at

Here, a = g

v = 16 + 9.8(0.5)

v = 20.9 m/s

So, the final velocity is 20.9 m/s.

Pls I need help ASAP

Answers

Answer:

i dont undertsnad what do u ned hep wit?

Explanation:

A motorist, traveling east on an open highway, sets his cruise control at 90.0 km/h. How far will he travel in 0.75 hours?

Answers

Answer:

The answer is 67.5 km

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = velocity × time

From the question we have

distance = 90 × 0.75

We have the final answer as

67.5 km

Hope this helps you

Answer: 67.5 km

Explanation:

Distance is the velocity and time.

90 x 0.75 = total distance

The distance is represented as 67.5 km/h.

Hope this helps!

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