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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Tap the point on this graph where the ball has the greatest Kinetic Energy if it were to move from Point A to G. Target Image
I don't understand the question
Answer:
As the ball falls from C to E, potential energy is converted to kinetic energy. The velocity of the ball increases as it falls, which means that the ball attains its greatest velocity, and thus its greatest kinetic energy, at E. 19.
Explanation:
the value of g is greater at the poles than at the equator why
Answer:
because the gravitational pull is maximum at the poles and decreases as it comes down toward the equator.
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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I need help and I don't understand if you can help me but let it be before 6:00
Answer:
balanced: a train moving at a constant speed, the moon orbiting the earth at a constant speed, a lamp sitting on a desk, an apple hanging on a tree
unbalanced: a skier coming down a mountain, a car accelerating from the start line, a soccer ball after it was kicked, a parachuter falling to ground
Explanation:
all the balanced ones are either moving at a constant speed or are skill
all the unbalanced ones were disturbed by some sort of force causing them to accelerate, go faster, blah blah blah
A student wishes to conduct an investigation on heat transfer that demonstrates convection, Which
method should the student use?
A.
Pour hot, colored water into a bowl of cooler water that is another color,
B.
Melt chocolate bars in a microwave at different settings,
C.
Leave a glass of ice water outside in the direct sunshine.
D.
Place a spoon that is room temperature on top of a hot burner on a stove,
During a race, a sprinter increases from 5.0 m/s to 7.5 m/s over a period of 1.25s. What is the sprinter’s average acceleration during this period?
Answer:
[tex]\boxed {\boxed {\sf 2 \ m/s^2}}[/tex]
Explanation:
Acceleration can be found by dividing the change in velocity by the time.
[tex]a=\frac{\Delta v}{t}[/tex]
The time is 1.25 seconds. The change in velocity is the difference between the initial velocity and the final velocity.
[tex]\Delta v=v_f-v_i[/tex] The final velocity is 7.5 m/s and the initial velocity is 5.0 m/s[tex]\Delta v =7.5 \ m/s-5.0 \ m/s=2.5 \ m/s[/tex][tex]\Delta v= 2.5 \ m/s\\t=1.25 \ s[/tex]
Substitute the values into the formula.
[tex]a=\frac{2.5 \ m/s}{1.25 \ s}[/tex]
Divide.
[tex]a=2 \ m/s^2[/tex]
The sprinter's average acceleration is 2 meters per second squared.
Answer: 2 m/s^2
Explanation: Hope this helps :)
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
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
Physics help, please? :)
3. Consider a locomotive and the rest of a freight train to be a single object. Suppose the locomotive is pulling the train up a hill. Describe the action and reaction forces that cause the locomotive to move up the hill, such as the reaction force and gravity.
4. Is the force of the earth’s gravity on the sun stronger, weaker, or the same as the force of the sun’s gravity on the earth? Explain why the sun’s attraction affects the motion of the earth more than the earth’s attraction affects the sun’s motion. Employ Newton’s second and third laws in your answer.
If anyone could help me at all, with either question it would be greatly appreciated, Physics is my hardest subject, and I struggle with it.
Answer:
Explanation:
3. Newton’s third law explains how every action has an equal but opposite reaction, meaning that forces comes in pairs. While the locomotive’s wheels are pushing back against the ground as the action force, the ground is producing a reaction force towards the locomotive, propelling it forward. Another pair of forces that act on the locomotive is gravity and normal force. While gravity is pulling the locomotive towards the ground, the normal force the ground exerts on the locomotive is why the locomotive doesn’t fall through the ground.
4. The force of Earth’s gravity on the Sun is weaker than the force of the Sun’s gravity on Earth. The Sun’s attraction affects the motion of Earth more than the Earth’s attraction affects the Sun’s motion because according to Newton’s second law, force has mass as one of its factors. The Sun has a significantly higher mass than Earth, meaning that its force of gravity would also be significantly higher. Newton’s third law is why the Earth doesn’t get marginally closer to the Sun, stating that every action has an equal and opposite reaction. As the Sun is pulling Earth towards itself, Earth is pulling away from the Sun.
change the following to celisus
a.-400f b.800f
please its urgent i will give u brainliest
What does it mean for objects to be at different temperatures?
A car speeds up from 0.00 m/s to 60.0
m/s in 8.53 s.
The acceleration of the car is:
A. 512 m/s2
B. 8.53 m/s2
C. 68.5 m/s2
D. 7.03 m/s2
What is Latin word for "little lumps?"
Answer:
tura paulo
Explanation:
sry if im wrong ;)
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
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 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 :)
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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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.
What is the difference between distance and position?
Explanation:
HERE you go. hope this helps.
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
plz help, and no silly answers cuz i will report you
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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Under what circumstances will the distance traveled by an object be the same as the magnitude of the displacement of an object?
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
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
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 ....
DESPERATE WILL GIVE BRAINLIST AND THANKS
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.
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:
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:
unit of power is derived unit why
Answer:
it was given the name Newton (N). from this, the derived unit of energy (or work) is defined ,as the work produced when the unit of force causes a displacement equal to the unit of length of its point of application along its direction . It was given the name Joule (J).
Explanation: