A 56 kg diver runs and dives from the edge of a cliff into the water which is located 4.0 m below. If she is moving at 8.0 m/s the instant she leaves the cliff, determine the following.
Her gravitational potential energy relative to the water surface when she leaves the cliff
Her kinetic energy when she leaves the cliff
Her total mechanical energy relative to the water surface when she leaves the cliff
Her total mechanical energy relative to the water surface just before she enters the water.
The speed at which she enters the water.
Answer:
1) 2197.44 J
2) 0 J
3) 2197.44 J = Constant
4) 2197.44 J
5) Approximately 8.86 m/s
Explanation:
The given parameters are;
The mass of the diver, m = 56 kg
The height of the cliff, h = 4.0 m
The speed with which the diver is moving, vₓ = 8.0 m/s
The gravitational potential energy = Mass, m × Height of the cliff, h × Acceleration due to gravity, g
1) Her gravitational potential energy = 56 × 4.0 × 9.81 = 2197.44 J
2) The kinetic energy = 1/2·m·u²
Where;
u = Her initial velocity = 0 when she just leaves the cliff
Therefore;
Her kinetic energy when she just leaves the cliff = 1/2 × 56 × 0² = 0 J
3) The total mechanical energy = Kinetic energy + Potential energy
The total mechanical energy is constant
Her total mechanical energy relative to the water surface when she leaves the cliff = Her gravitational potential energy = 2197.44 J = Constant
4) Her total mechanical energy relative to the water surface just before she enters the water = 2197.44 J
5) The speed with which she enters the water, v, is given from, v² = u² + 2·g·h
Where;
u = The initial velocity at the top of the cliff before she jumps= 0 m/s
∴ v² = 0² + 2 × 9.81 × 4 = 78.48
v = √78.48 ≈ 8.86 m/s
The speed with which she enters the water, v ≈ 8.86 m/s
1) Her gravitational potential energy relative to the water surface when she leaves the cliff is; GPE(leaves cliff) = 2195.2 J
2) Her kinetic energy when she leaves the cliff is; KE = 0J
3) Her total mechanical energy relative to the water surface when she leaves the cliff is; ME_total = 2195.2 J
4) Her total mechanical energy relative to the water surface just before she enters the water is; ME_total = 2195.2 J
5) The speed at which she enters the water is; v = 8.85 m/s
We are given;
Mass of the diver; m = 56 kg
Height of the cliff; h = 4 m
Speed at which she is moving; vₓ = 8 m/s
1) Formula for gravitational potential energy is;
GPE = mgh
where;
m is mass
g is acceleration due to gravity
h is height
Thus;
GPE = 56 × 4 × 9.8
GPE(leaves cliff) = 2195.2 J
2) The formula for kinetic energy when she leaves the cliff is;
KE = ¹/₂mu²
Where;
m is mass
u = initial velocity = 0 m/s
Thus;
KE = ¹/₂ × 56 × 0²
KE(leaves cliff) = 0 J
3) The total mechanical energy relative to the water surface when she leaves the cliffis;
ME_total = GPE(leaves cliff) + KE(leaves cliff)
Thus;
ME_total = 2195.2 + 0
ME_total = 2195.2 J
4) Her total mechanical energy relative to the water surface just before she enters the water is same as that when she leaves the cliff = 2195.2 J
5) The speed with which she enters the water, v, is gotten from newtons third equation of motion;
v² = u² + 2gh
Thus;
v² = 0² + (2 × 9.8 × 4)
v² = 78.4
v = √78.4
v = 8.85 m/s
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Place the location of a watermelon in order from most to least potential energy.
aboard a flying airplane
2
on a roof
3
above a refrigerator
4
on the ground
5
on top of a table
it would be on the ground
change the following to celisus
a.-400f b.800f
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Under what circumstances will the distance traveled by an object be the same as the magnitude of the displacement of an object?
part 1 of 2
Bill kicks a rock off the top of his apartment
building. It strikes a window across the street
18 m away.
The acceleration of gravity is 9.8 m/s?.
If the window is 19 m below the position
where Bill contacted the rock, how long was
it in the air?
Answer in units of s.
part 2 of 2
How fast was it moving when it left Bill's
foot?
Answer in units of m/s.
Answer:
I got you.. i'm in middle school and had that same question.
Explanation:
Refer to the diagram shown below.
The vertical distance traveled is
s = 25 m
The initial vertical launch velocity is zero.
Therefore
s = (1/2)*g*t²
where g = 9.8 m/s²
t = the time of flight, s
That is,
0.5*9.8*t² = 25
t² = 25/4.9 = 5.102
t = 2.26 s
Answer: 2.26 s
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Answer:
C
Explanation:
Balanced forces cancel each other out so they do not change the object's motion
what will you always find in ALL atoms?
Answer:
All atoms have a dense central core called the atomic nucleus. Forming the nucleus are two kinds of particles: protons, which have a positive electrical charge, and neutrons, which have no charge. All atoms have at least one proton in their core, and the number of protons determines which kind of element an atom is.
Explanation:
Compare and contrast an earthquake and a tsunami.
Answer:
An earthquake is a trembling movement of the earth's crust. These tremors are generally caused by shifts of the plates that make up the earth's surface. ... A tsunami (pronounced soo-NAHM-ee) is a series of huge waves that occur as the result of a violent underwater disturbance, such as an earthquake or volcanic eruption.
Explanation:
relationship between voltage, resistance and current in a circuit
Answer:
V = I×R
where -
V = potential difference across
I = current flowing in the circuit
R = Equivalent Resistance in the circuit
Answer:
Answer:
V = I×R
where -
V = potential difference across
I = current flowing in the circuit
R = Equivalent Resistance in the circuit
Explanation:
What is the Range of the projectile motion?
Answer:
Range of projectile, R
For projection above ground surface, the range of the angle of projection with respect to horizontal direction, θ, is 0° ≤ θ ≤ 90° and the corresponding range of 2θ is 0° ≤ 2θ ≤ 180°.S
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The Cenozoic Era was the “age of the dinosaurs.”
Question 2 options:
True
False
Answer:
false
Explanation:
Answer:
false
Explanation:
The Cenozoic Era is the current Era it's also called the new life era. Dinosaurs appeared in the Triassic era.
1. What are valence electrons used for by an element?
Answer:
An element's valence electron tells us about its ability to react and not react. More rules to this, but that's the gist of it. it also helps us form bonds
Explanation:
Valence electrons are used by an element for bonding and ionization, contributing to the element's chemical reactivity and behavior.
Valence electrons also play a vital role in ionization, which refers to the process of gaining or losing electrons to form ions. Elements tend to gain or lose electrons in order to achieve a stable electron configuration, typically by acquiring a full valence shell.
Metals, located on the left side of the periodic table, have fewer valence electrons, often one or two, and tend to lose them to form positive ions (cations). This characteristic makes them good conductors of electricity.
Nonmetals, located on the right side of the periodic table, have a nearly full valence shell and tend to gain electrons to achieve a stable configuration, forming negative ions (anions). Nonmetals generally do not conduct electricity as well as metals.
In summary, valence electrons are used by an element for bonding, where they participate in the formation of covalent and ionic bonds, and for ionization, where they are gained or lost to form ions and achieve a stable electron configuration.
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What would happen if the compass were moved to the location of the black X
in the diagram?
Me Magnets
O A. The arrows on the magnetic field lines would point in the opposite
directions.
B. The locations of the magnet's north and south poles would switch.
C. The red part of the compass needle would point toward the
magnet's south pole.
D. The red part of the compass needle would point in the opposite
direction
Answer:
It is C
Explanation:
The red part of the compass needle would point toward the magnet's south pole.
What is compass?A compass is a tool used for geographic orientation and navigation that displays the cardinal directions. It typically consists of a magnetized needle or other component that may pivot to line up with magnetic north, like a compass card or compass rose.
Compass is a device used to find the direction north and south it is aligned with direction of magnetic field of earth.
The red part of the compass needle would point toward the magnet's south pole.
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Multiple Intelligences :
• are completely innate ( inborn)
•can be developed
•are not proven with scientific theory
•a and c
•all of the above
Which one is the answer?
Answer:
all of the above
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A crane lifts a 75kg mass a height of 8 m. Calculate the gravitational potential energy gained by the mass (g = 9.8 N/kg.
Which of the following is the best way to decrease an objects acceleration?
Increase mass
Reduce friction
Decrease mass
Increase force
Answer:
its D
Explanation:
i took the assignment, its D
The target heart rate zone is:
a
the level your recovery heart rate should reach.
b
where you want your exercise heart rate.
c
where you want your resting heart rate.
d
your maximum heart rate.
The target heart rate zone is where you want your exercise heart rate to be. Option B is correct.
The target heart rate zone is a specific range of heart rates that you should aim to achieve during exercise to maximize the benefits of your workout. This range is typically calculated based on a percentage of your maximum heart rate. For example, if your maximum heart rate is 180 beats per minute, your target heart rate zone might be between 120 and 150 beats per minute.
The objective pulse is 50 to 85 percent of your greatest pulse. It is the level at which your heart is pulsating with moderate to extreme focus. To decide your greatest pulse, take 220 and deduct your age. Supporting an exercise at this speed works on cardiorespiratory perseverance.
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a supersonic aircraft travels faster than the speed of sound. What might be the top speed of such an aircraft? 200 Kilometers per hour 500 Kilometers per hour O 1000 Kilometers per hour O 1500 Kilometers per hour
1500 kpm
Why are black holes so deeply part of the collective imagination (books, movies, songs, video games, comics, paintings, etc)?
Answer:
Black holes are some of the strangest and most fascinating objects in outer space. They're extremely dense, with such strong gravitational attraction that even light cannot escape their grasp if it comes near enough. so when in books, movies, songs, video games, comics, paintings, etc you can imagine the impossible. as in escaping a black hole
Explanation:
A 2000 kg truck and a 500 kg car are racing. The same amount of force is applied to each of them,
Answer:
Hh
Explanation:
Ghhhh
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A parachute on a drag-race car opens and changes the velocity of the car from 75 meters per second to 25 meters per second in just 5 seconds. Calculate the acceleration of the car.
Explanation:
v = u + at
25 = 75 + a * 5
25 = 75 + 5 a
a = 25 - 75/5
a = -50/5
a = -10m/sec^2
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How much force (newtons) is required to accelerate a 2.55 kg remote-controlled toy car at a rate of 6.00 m/s2
Answer:
15.3 N
Explanation:
Force = mass x acceleration
= 2.55 kg x 6.00 m/s^2
= 15.3 kgm/s^2 = 15.3 N
The required force to accelerate a 2.55 kg remote-controlled toy car at a rate of 6.00 m/s^2 be 15.3 N.
What is force?The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
Given parameters:
Mass of the remote-controlled toy car : m = 2.55 kg.
Acceleration of the remote-controlled toy car :a = 6.00 m/s^2
Now according to Newton's 2nd law of motion,
Force = mass x acceleration
= 2.55 kg x 6.00 m/s^2
= 15.3 kgm/s^2
= 15.3 N
Hence, required force is 15.3 N.
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Can someone tell me what they think reliability means ?
Answer:
it is being accountable basically like some one can relive and trust that you'll do what you say your going to do
An object on Earth weighs 150 N. What is its mass?
15 g
150 kg
150 g
15 kg
Answer:
15kg
Explanation:
mass = weight / gravitational field strength
mass = 150 / 9.8 = 15kg (nearest whole no)
The mass of the object on earth whose weight is 150 N will be 15.3 Kg
What is Mass?Mass is the amount of matter present inside a body. It is defined as the product of density and volume. It remains constant through out the universe. Mathematically -
M = ρV
where -
M is Mass
ρ is density
V is volume
Given is your weight on earth which is equivalent to 150 N.
We know that the weight of of an object is a force exerted by the earth towards its center. It can be written as -
W = mg
Weight of the object = [W] = 150 N
Acceleration due to gravity on earth = [g] = 9.8 m/s²
Substituting the values -
150 = m x 9.8
m = 150/9.8
m = 15.3 Kg
Therefore, the mass of the object on earth whose weight is 150 N will be 15.3 Kg.
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Which of the following is not an example of work?
1.a man pushing a heavy box across the floor
2.an air hockey puck traveling at a constant speed
3.a magnet repelling a 4.compass needle
ship movement that causes ripples in the water
Answer:
3 a is the ans i think so ....
3. When a person is outside of the system and they add energy to the
system, we show this energy as
Answer:
We show added energy to a system as +Q or -W
Explanation:
The first law of thermodynamics states that, in an isolated system, energy can neither be created nor be destroyed;
Energy is added to the internal energy of a system as either work energy or heat energy as follows;
ΔU = Q - W
Therefore, when energy is added as heat energy to a system, we show the energy as positive Q (+Q), when energy is added to the system in the form of work, we show the energy as minus W (-W).
A metal ball has a mass of 2.05 kg and a volume of 6.8 cm. What is its density? Remember
Answer:
the density is 0.301 :)
What is the difference between distance and position?
Explanation:
HERE you go. hope this helps.
How does Health & Physical Education relate to any other subject you now study in
school?
Answer:
Health relates to science because
in science you study, research, and knowledge in this case, health science, which helps you under stand more about how humans and animals function. And Physical education relates to science because , you study the way of human movement, think of push-ups as a example.
I hope I helped U ´꓃ ` U
Which forces keep the bottle moving
round and round?
Answer:
Centripetal force
Explanation:
The force that keeps a bottle moving round and round in circular motion is centripetal force.
Centripetal force is an inward directed force that keeps a body in circular motion. This force keeps a body moving along a circular path.
To find the force, we use the expression below;
F = [tex]\frac{mv^{2} }{r}[/tex]
F is the centripetal force
m is the mass of the body
v is the velocity
r is the radius