Answer:
When the rock has fallen 12.0 m;
The kinetic energy of the rock is approximately 3,531.6 J
The potential energy of the rock is approximately 6,768.9 J
Explanation:
The question relates to the characteristic constant total mechanical energy of a body
The mass of the rock that falls, m = 30.0 kg
The height of the cliff from which the rock falls, h₁ = 35.0 m
The required information = The kinetic and potential energy when the rock has falling 12.0 m
The kinetic energy is given by the formula, K.E. = 1/2×m×v²
The potential energy is given by the formula, P.E. = m·g·h
Where;
g = The acceleration due to gravity ≈ 9.81 m/s²
The velocity of the rock after falling through a given height, h is given by the formula, v² = 2·g·Δh
The total mechanical energy of the rock, M.E. = K.E. + P.E. = Constant
At the height of the cliff before falling, Δh =0, therefore v₁ = 0, therefore, K.E. = 1/2×m×v₁² = 0 J
The potential energy at the cliff before the rock begins to fall, P.E. is goven as follows;
P.E. = 30.0 kg × 35.0 m × 9.81 m/s² = 10,300.5 J
At the top of the cliff, M.E. = K.E. + P.E. = 0 J+ 10,300.5 J = 10,300.5 J
∴ M.E. = 10,300.5 J
When the rock has fallen, 12.0 m, Δh = 12.0 m, the speed of the rock, v₂, is given as follows;
v₂² = 2 × 9.81 m/s² × 12.0 m = 235.44 m²/s²
v₂ = √(235.44 m²/s²) ≈ 15.344 m/s
∴ When the rock has fallen 12.0 m, K.E., is given as follows;
K.E. = 1/2×m×v₂²
K.E. = 1/2 × 30.0 kg × 235.44 m²/s² = 3,531.6 J
When the rock has fallen 12.0 m the kinetic energy, K.E. = 3,531.6 J
When the rock has fallen 12.0 m, M.E. = P.E. + K.E.
M.E. = Constant = 10,300.5 J
K.E. = 3,531.6 J
∴ 10,300.5 J = P.E. + 3,531.6 J
P.E. = 10,300.5 J - 3,531.6 J = 6,768.9 J
∴ When the rock has fallen 12.0 m, the potential energy, P.E. = 6,768.9 J.
Objects 1 and 2 attract each other with a electrostatic force
of 36.0 units. If the distance separating Objects 1 and 2 is
changed to one-half the original value (i.e., halved), then the
new electrostatic force will be units.
Answer:
F = 144 units
Explanation:
For this exercise we use coulomb's law, for the initial conditions
F₀ = [tex]k \frac{q_1q_2}{r_o^2}[/tex]
indicate that the force F₀ = 36.0 units and the distance is reduced to r = r₀/2 which is the new force
F = [tex]k \frac{ q_1q_2 }{(r_o/2)^2}[/tex]
we substitute
F = 4 [tex]k \frac{q_1q_2}{r_o^2}[/tex]
F = 4 F₀
we calculate
F = 4 36
F = 144 units
Identifying Obstacles
Since the purpose of these strategies is to help overcome obstacles and set-backs in your exercise routine, take a minute and think about the most obvious obstacle you have. If you do not have any obstacles at the present time, think about a potential obstacle to your exercise that could occur.
Answer:
Thx!
Explanation:
Please I need help in this now
Answer:
a
Explanation:
worng worng
Look up how much power a typical light bulb uses/produces. Then look up how much power a typical microwave uses/produces. How do these appliances compare to your physical activities?
The current drawn by a microwave is greater than the amount of current used by an electric bulb, hence the microwave consumes more power.
Energy dissipated by electrical applianceThe amount of energy dissipated by an electrical appliance is the calculated using the following formulas;
P = I²R
where;
P is powerI is currentR is resistanceThe current drawn by a microwave is greater than the amount of current used by an electric bulb, hence the microwave consumes more power.
Learn more about power here: https://brainly.com/question/13881533
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a horizontal force of 25 newtons eastward causes a 10 kg box to have a displacement of 5m eastward. The total work done by the 25 Newton force is?
Answer:
125 J
Explanation:
Work done = force * distance
work = 25 * 5
work = 125 J
What is directly created when radiation from the Sun heats air in the atmosphere?
erosion
humidity
precipitation
wind
Answer:
Wind
Explanation:
I had this question on one of my tests, and I got it right
The volume of an object as a function of time calculated by V=At^3+B/t,where t is time measured in seconds and V is in cubic meters. Determine the dimension of the constants A and B
Answer:
A = L^3 T^-3 , B = L^3 T
Explanation:
Given: volume ( V ) = At^3 + B/t ------ ( 1 )
dimension of volume = L^3
and the Dimension of time = T
back to equation ( 1 )
L^3 = A * T^3 ------- ( 2 )
also L^3 = B/T ------- ( 3 )
from equation ( 2 )
A = L^3 T^-3
from equation ( 3 )
B = L^3 T
The dimensions of the constants A and B
A = L^3 T^-3 , B = L^3 T
Newton's Third Law of Motion relates to action and reaction. Which of the following
scenarios accurately names the correct action and reaction pair to apply to Newton's
Third Law?
A) An arrow hitting a tree (action) after being launched (reaction)
B)
A car accelerating forward (action) after the driver pushes the acceleration
pedal (reaction)
C) A skateboard moving (action) after being pushed (reaction)
D)
An ax being used to hit wood (action) and the wood splitting after being hit
by the ax (reaction)
Answer:
An ax being used to hit wood (action) and the wood splitting after being hit
by the ax (reaction)
Explanation:
Answer:
d
Explanation:
What is velocity ratio? It is impossible to get a perfect machine in practical life, why?
Explanation:
VELOCITY RATIO :- The ratio of a distance through which any part of a machine moves to that which the driving part moves during the same time.Water raises a boat once every 3.0 seconds. What is the frequency (f) of the waves passing the boat?
3.0 Hz
0.33 Hz
0.1 Hz
334 Hz
Answer:
I think its A
Explanation:
if its every 3 seconds wouldnt it be 3.0 Hz
How does a resistor affect an electrical circuit?
Answer:
D
Explanation:
Answer:
D.
It reduces the rate at which electrons flow.
Use the drop-down menus to answer each question.
Which type of storm is associated with microbursts?
Which type of storm is common in areas of drought and can last for days?
Which type of storm happens just before strong weather fronts?
Which type of storm moves quickly, appears with little warning, and lasts only a few minutes?
Answer:
1. haboob
2. dust storm
3. haboob
4. sandstorm
Explanation:
just did the assignment
Segregation of alleles happens during the sex cell formation called ___.
A. translation
B. meiosis
C. sexual reproduction
D. transcription
Answer:
The answer to your question is sexual reproduction
Explanation:
Mark me brainliest (WHY?) cause my answer is correct
A car is traveling at 120 kilometers per hour with 35,000 joules of kinetic energy on the freeway when it suddenly applies its brakes and comes to a screeching stop. How much of the original 35,000 joules of energy is left?
Answer:
0 J is left (No amount of the original 35000 J energy is left)
Explanation:
From the question
Kinetic Energy (K.E) = 1/2mv²................... Equation 1
Where m = mass of the car, v = velocity of the car.
make m the subject of the equation.
m = 2K.E/v²..................... Equation 2
Given: K.E = 35000 Joules, v = 120 km/h = (120×3600/1000) = 432 m/s
Substitute these values into equation 2
m = (2×35000)/432²
m = 0.375 kg.
If a brake is suddenly apply,
Then, the velocity of the car = 0 m/s.
Therefore,
K.E = 1/2(0.375×0²)
K.E = 0 J.
From the baove analysis, No amount of the original 35000 J energy is left.
Series problem
What type of circuit is this?
What does the circle and the v represent?
1.
If a force of 40N is applied for 0.2 sec
to change the momentum of a
volleyball, what is the impulse?
Answer:
J = 8 kg-s
Explanation:
Given that,
Force, F = 40 N
Time, t = 0.2 s
We need to find the impulse. We know that,
Impulse, J = F×t
So,
J = 40 × 0.2
J = 8 kg-s
So, the impulse is 8 kg-s.
Read the map key. Predict which location would expect to have the most extremes in average annual temperatures.
A.
B.
C.
D.
Answer:
D is the answer
Explanation:
Step 3: Create your graphs. a) Decide how many graphs you will need to show the energy transformation. b) You should have at least 3 graphs, so that the steps of the transformation will be clear. c) Each graph should be clearly labeled. d) Careful use of color on your graphs will make them easy to read and understand. It's for Edge. Project: Energy Transformation Poster. Thank you!
in each of the following divide the second number by the first number and find the quotient:3/4,-3/8
Answer:
[tex]\dfrac{-1}{2}[/tex]
Explanation:
We need to divide the second number by the first number and the numbers are 3/4,-3/8.
First number = 3/4
Second number = -3/8
Dividing the second number by the first number.
So,
[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}[/tex]
We know that,
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}=\dfrac{-3}{8}\times \dfrac{4}{3}\\\\=\dfrac{-1}{2}[/tex]
So, the answer is (-1/2)
Help! (science class)
Answer:
opposite charges.
1. two Styrofoam.
2. pieces of glitter.
3. balloon moves away from glass rod
like charges
1. two sweaters cling
2. balloons stick to wall
3. stream of water bends
Titan Tommy and the Test Tubes at a nightclub this weekend. The lead instrumentalist uses a test tube (closed-end air column) with a 17.2 cm air column. The speed of sound in the test tube is 340 m/sec. Find the frequency of the first harmonic played by this instrument.
Hello , it' s 5 but i am not sure Explanation:
Using your strategy to overcome your obstacle.
Finally, now that you have both your obstacle and your success strategy in mind, take some time to write how you would actually use this strategy to help you overcome your obstacle. Be specific! The more specific you are, the more likely you will be to actually implement this success strategy. Write how you would use this strategy in the box below:
I would use this strategy in the following ways:
Observing the resources around me and finding ways to cope with the situation.Observing my environment or what is there around me that can help me Asking for help from othersThinking outside the boxWhat is strategy?Strategy is described as a general plan to achieve one or more long-term or overall goals under conditions of uncertainty.
We have three levels of strategy and they include:
Corporate level strategyBusiness unit level strategyMarket level strategyBy Observing my environment or what is there around me that can help me, it will help me overcome any obstacle that may come my way.
Learn more about levels of strategy at:
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: where are you likely to find a cooling plant located in the duckwork? A. single family home B. A large apartment C. large factory D. A medium sized offices
Answer:
Option C
Explanation:
In a large sized factory, it is essential to create cooling system based on duct work because it can then be able to regulate cooling of any section of the factory from one place. Also, ductwork cooling is preferred in large spaces such as big offices building, towers, factories etc.
Hence, option C is correct
What is force? Do systems have inputs, outputs, do they have both, do they have one, do they have the other, what are the systems.
a force is a push or pull. hope i helped!
A 12 V battery is connected to a circuit with a 4 resistor. What is the current through the resistor?
О ЗА
8A
16 A
O 48 A
A day on a distant planet observed orbiting a nearby star is 21.5 hr. Also, a year on the planet lasts 69.3 Earth days. In other words, for the purposes of unit conversion, there are 24 hr in a day, 60 min in an hour, and 60 s in a minute, as it would for astronomers on Earth observing the planet. Calculate the average angular speed of the planet about its own axis of rotation in radians per second, with the second as measured on Earth. what is the speed of rotation? Calculate the average angular speed of the planet as it travels around its neighboring star, with the second as measured on Earth. what is the speed of orbit?
Answer:
Part A
The angular speed of rotation of the plane is 8.11781 × 10⁻⁵ rad/s
Part B
The angular speed of orbit of the planet is 1.04938 × 10⁻⁶ rad/s
Explanation:
The parameters of the planet are;
The duration of a day on the distant planet = 21.5 hr.
The duration of a year on the distant planet = 69.3 Earth days
Part A
The duration of a day = The time to make one complete revolution of 2·π radians
∴ The average angular speed about its axis, [tex]\omega_{rotation}[/tex] = Angle turned/Time
∴ [tex]\omega_{rotation}[/tex] = 2·π/(21.5 × 60 × 60) s ≈ 8.11781 × 10⁻⁵ rad/s
The average angular speed of the planet about its own axis, [tex]\omega_{rotation}[/tex] = 8.11781 × 10⁻⁵ rad/s
The angular speed of rotation of the plane [tex]\omega_{rotation}[/tex] = 8.11781 × 10⁻⁵ rad/s
Part B
The time it takes the planet to revolve round the neighboring star once = 69.3 Earth days
Therefore, the average angular speed of the planet around its neighboring star, [tex]\omega _{Star}[/tex], is given as follows;
[tex]\omega _{Orbit}[/tex] = 2·π/((69.3 × 24 × 60 × 60) s) = 1.04938 × 10⁻⁶ rad/s
The average angular speed of orbit, [tex]\omega _{Orbit}[/tex] = 1.04938 × 10⁻⁶ rad/s
The angular speed of orbit of the planet, [tex]\omega _{Orbit}[/tex] = 1.04938 × 10⁻⁶ rad/s.
Which of the following can act
as media for a wave?
A. Solids
B. Liquids
C. Gases
D. All of the above
Answer:
D
Explanation:
im pretty sure
Why does our sun appear larger than any other star in our galaxy
PLS HELP & use your own words thanks
Answer:
The closer and bigger the star, the larger the star appears.
Explanation:
Since the sun is closer to us it shows up way larger than other stars in our galaxy.
Have a great day.
Answer:
It is the closest star to us. other bigger stars may seem small, but that is because they are far away. The more closer an object is, the smaller it seems to be.
Explanation:
Hope this helps!
Ill give brainliest! 1. Which item below describes a quick change to
Earth's landscape?
A. a stone becoming smooth
B. dirt moving down a steep hill
C. flat land becoming a canyon
D. a glacier flattening the land below it
Answer:
hmmmmm
Explanation:
I am gonna say D.
if I am right plz give me a brainliest
distinguish between speed and velocity
Speed has no direction.
Velocity has one.