Answer:
The options are not shown, so let's derive the relationship.
For an object that is at a height H above the ground, and is not moving, the potential energy will be:
U = m*g*H
where m is the mass of the object, and g is the gravitational acceleration.
Now, the kinetic energy of an object can be written as:
K = (1/2)*m*v^2
where v is the velocity.
Now, when we drop the object, the potential energy begins to transform into kinetic energy, and by the conservation of the energy, by the moment that H is equal to zero (So the potential energy is zero) all the initial potential energy must now be converted into kinetic energy.
Uinitial = Kfinal.
m*g*H = (1/2)*m*v^2
v^2 = 2*g*H
v = √(2*g*H)
So we expressed the final velocity (the velocity at which the object impacts the ground) in terms of the height, H.
Given 1 inch ≡ 2.54 cm and 1 foot ≡
12 inches, how many square centimeters are
in 3.22 ft2
?
Answer:
2991.47 [cm^2]
Explanation:
To solve this problem we must perform a dimensional analysis and use the corresponding conversion values:
[tex]3.22[ft^{2}]*\frac{12^{2}in^{2} }{1^{2}ft^{2}} *\frac{2.54^{2}cm^{2} }{1^{2}in^{2} } \\2991.47[cm^{2}][/tex]
A permanent magnet cannot be used in electrical bell .Why?
Answer:
we can not use permanent magnets in radio and electric bells , because permanent magnets loose their property after some time whereas we can change the properties of electromagnet.
Jack bought 8 boxes of soda. how many cans did he buy if each box holds 34 cans?
Answer:
272
Explanation:
hope this helps you!!!
The level of toluene (a flammable hydrocarbon) in a storage tank may fluctuate between 10 and 400 cm from the top of the tank. since it is impossible to see inside the tank, an open-end manometer with water or mercury as the manometer fluid is to be used to determine the toluene level. one leg of the manometer is attached to the tank 500 cm from the top. a nitrogen blanket at atmospheric pressure is maintained over the tank contents. felder, richard m.; rousseau, ronald w.; bullard, lisa g.. elementary principles of chemical processes, 4th edition (page 81). wiley. kindle edition.
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
When water is used the reading is [tex] R = 2281.6 \ cm [/tex]
When mercury is used the reading is [tex] R = 23.83 \ cm [/tex]
The best fluid to use is mercury because for water a slight change in toluene level will cause a large change in height .
Explanation:
From the question we are told that
The length of the leg of the manometer to the top of the tank is d = 500cm
The toluene level where in the tank where the height of the manometer fluid level in the open arm is equal to the height where the manometer is connected to the tank is h =150 cm
The manometer reading is R
Generally at the point where the height of the open arm is equal to the height of the of the point connected to the tank ,
The pressure at the height of the both arms of the manometer corresponding to the base of the tank are equal
i.e [tex]P_1 = P_2[/tex]
Here [tex]P_1[/tex] is the pressure of the manometer at the point corresponding to the base of the tank and this is mathematically represented as
[tex] P_{atm} + P_1 = P_{atm} + P_t[/tex]
Here [tex]P_t[/tex] is the pressure due to the toluene level in the tank and in the arm of the manometer connected to the tank and this is mathematically represented as
[tex]P_t = \rho_t * g * h_i[/tex]
Here
[tex]\rho_t [/tex] is the density of toluene with value [tex]\rho_t = 867 kg/m^3 [/tex]
[tex]h_i[/tex] is the height of the connected arm above the point equivalent to the base of the tank , this mathematically represented as
[tex]h_i = d - h + R[/tex]
and [tex] P_2 [/tex] is the the pressure at the open arm of the manometer at the point equivalent to the base of the base of the tank and this is mathematically represented as
[tex] P_2 = \rho_f * g * h_f [/tex]
Here
[tex]\rho_f[/tex] is the density of the fluid in use , if it is water the density is
[tex]\rho_w = 1000 \ kg /m^3 [/tex]
and if it is mercury the density is
[tex]\rho_m = 13600 \ kg /m^3 [/tex]
[tex]h_f[/tex] is the height of the fluid in the open arm of the manometer from the point equivalent to the base of the tank which is equivalent the manometer reading R
So when the fluid is water we have
[tex] P_{atm} + \rho_t* g *(d - h + R) = P_{atm} + \rho_f * g * h_f[/tex]
=> [tex] \rho_t* (d - h + R) = \rho_w * h_f[/tex]
=> [tex] 867 (500 - 150 + R) = 1000 * R [/tex]
=> [tex] R = 2281.6 \ cm [/tex]
So when the fluid is mercury we have
[tex] \rho_t* (d - h + R) = \rho_m * h_f[/tex]
=> [tex] 867 (500 - 150 + R) = 13600 * R [/tex]
=> [tex] R = 23.83 \ cm [/tex]
The difference in the mercury reading for mercury due to the fact that they have different densities as we have seen in this calculation
So the best fluid to use is mercury because for water a slight change in toluene level will cause a large change in height .
A cannonball with a mass of 50 kilograms and a golf ball with a mass of 0. 8 kilograms are dropped in a vacuum from a height of 10 meters. Compare the acceleration of each object as they fall.
It's gonna take a huge amount of time and effort, and we're gonna spend a huge amount of money, to build a vacuum chamber big enough to do this experiment.
So when we're finally ready to try it, the cannonball and golf ball will make a kind of cute experiment, but let's make it really interesting. Let's ALSO try it with a feather, an apple, a watermelon, a tennis ball, a basketball, a coffeepot, a chair, an old computer, a set of dishes, a trombone, a bicycle, a math book, a TV set, a gallon of milk, a skateboard, a shotgun, a concrete block, a car, a waterbed, a schoolbus, a battleship, your dog, and my wife !
Drop every single one of them from a height of 10 meters.
Every single one of them accelerates at 9.8 m/s² as it falls, takes 1.429 seconds to reach the floor, and hits the floor at a speed of 14 m/s. The feather, the schoolbus, and my wife stay together all the way down.
The only way this doesn't happen is if ...
-- you do this experiment in some other place that's not Earth, or
-- you throw one of the objects and you don't just drop it, or
-- the vacuum chamber has a leak and some air gets into it.
Because that's how gravity works.
Muscles covert chemicals energy int
Answer:
Mechanical energy
Explanation:
Mechanical energy is needed for movement of objects. Muscles convert chemical energy provided by the rest of the body to allow movement.
A book with a mass of 1kg is dropped from a height of 3m . What is the potential energy of th book when it reaches the floor?
Answer:
30 J
Explanation:
height = 3 m
mass = 1kg
acceleration due to gravity = 10m/s²
Potential Energy = mass× gravity × height
= 1kg ×10m/s²× 3m
= 30 J
What is the momentum of a 200 kg football player running west at a speed of 8m/s
Answer:
The answer is 1600 kgm/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocityFrom the question
mass = 200 kg
velocity / speed = 8m/s
We have
momentum = 200 × 8
We have the final answer as
1600 kgm/sHope this helps you
How are representative democracies and direct democracies similar?
In both, elected officials meet to make laws.
The power lies with the people in both types of government.
Both types of government work well in countries with large populations.
In both, citizens often represent themselves in voting on government decisions.
BRAINLYIST IS THE REWARD
Answer:
The answer is Both types of government work well in countries with large populations.
Explanation:
Answer:
its d
Explanation:
An object dropped from rest and falls a distance of 80 m.
What is the objects displacement
Answer:
Δx = -80m
Explanation:
The object's displacement is -80m because it landed 80m below where it started.
what caused earths continents to drift apart?
Answer:
bada bop boop pow
Explanation:
what happens all by itself because the nucleus is unstable
What is the current in the 30.0 o resistor?
2.00A
32.0A
4.00A
30.0A
Answer:
4.00 A
Explanation:
A runner is jogging in a straight line at a steady vr= 7.3 km/hr. When the runner is L= 2.1 km from the finish line, a bird begins flying straight from the runner to the finish line at vb= 29.2 km/hr (4 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line. How far does the bird travel from the beginning (including the distance traveled to the first encounter
Answer:
Explanation:
Time taken by jogger to travel the distance to finishing line = 2.1 / 7.3
= .28767 hr
Bird will keep flying for this time period
distance covered by bird = speed x time
= 29.2 x .28767 km
= 8.4 km .
What acceleration will all objects experience during their flights through the air (on Earth)?
Answer:
d
Explanation:
Answer:
9.8 m/s/s
Explanation:
As such, all objects free fall at the same rate regardless of their mass. Because the 9.8 N/kg gravitational field at Earth's surface causes a 9.8 m/s/s acceleration of any object placed there, we often call this ratio the acceleration of gravity
Which mathematical statement shows the relationship between gravity and mass?
Answer
F (force of gravity) = M (mass of an object) × G (acceleration due to gravity)
Step-by-step explanation:
Force of gravity (F) = Mass (M) × Gravitational acceleration (G)
The weight of an abject is equal to its gravitational force!
Explanation:
Answer:
[tex]F_{g} = \frac{m}{d^{2} }[/tex] shows the relationship between gravity and mass.
Explanation:
According to the Newton's law of gravitation, the gravitational force between two bodies is,
[tex]F_{g} = G.\frac{m_{1}.m_{2} }{d^{2} }[/tex]
here [tex]m_{1} and m_{2}[/tex] are masses, d is distance between them.
What is Newton's law of Gravitation ?It states that gravitational force acting two bodies is directly proportional to the product of masses and inversely proportional to the square of the distance between them.
In above formula ,
If [tex]m_{1} = 1 and[/tex] [tex]m_{2} = m[/tex]
so [tex]F_{g} = G \frac{m}{d^{2} }[/tex]
Since G is constant ,
[tex]F_{g}[/tex] ∝[tex]\frac{m}{d^{2} }[/tex]
Hence second option is correctly showing relationship between gravity and mass.
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What affect does doubling the net force have on the acceleration of the object (when
the mass of the object stays the same)? Identify a set of two trials that support your answer to question 1
===========================================================
Explanation:
Consider a mass of 10 kg, so m = 10
Let's say we apply a net force of 20 newtons, so F = 20
The acceleration 'a' is...
F = ma
20 = 10a
20/10 = a
2 = a
a = 2
The acceleration is 2 m/s^2. Every second, the velocity increases by 10 m/s.
---------------
Now let's double the net force on the object
F = 20 goes to F = 40
m = 10 stays the same
F = ma
40 = 10a
10a = 40
a = 40/10
a = 4
The acceleration has also doubled since earlier it was a = 2, but now it's a = 4.
---------------
In summary, if you double the net force applied to the object, then the acceleration doubles as well.
Acceleration is directly proportional to the net force on an object, and inversely proportional to its mass.
So if an object's mass stays the same while the net force on it doubles, then its acceleration will also double.
We don't know anything about the "trials". This sounds like it might be a follow-up to a lab experiment that was performed when we weren't there.
We also don't know anything about "question 1".
Explain and reason why the the moon rotates around the earth every lunar cycle
Pls explain ASAP
Best answer will be marked as BRAINLIEST✨
HURRY PLEASE!!
The particles of solids are packed together tightly, so sound waves travel faster through solids than through liquids or gases. How do light waves differ from sound waves?
A. Light waves require a medium and travel fastest through liquids
B. Light waves require a medium, but travel fastest through a vacuum
C. Light waves do not require a medium, but travel fastest through solids
D.
Light waves do not require a medium and travel fastest when in a vacuum
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Explanation:
Sound travels fastest through solids. This is because molecules in a solid medium are much closer together than those in a liquid or gas, allowing sound waves to travel more quickly through it. In fact, sound waves travel over 17 times faster through steel than through air.
Option b
REAL NAME - SHRESTH DUBEY
When the light turns green, Mark accelerates straight down the road at 1.8 m/s2 for 8 seconds. What is his final velocity at the end of those 8 seconds?
Answer:
14.4m/s
Explanation:
To calculate the final velocity (V), we use the formula:
v = u + at
Where; v = final velocity (m/s)
u = initial velocity (m/s)
a = acceleration (m/s²)
t = time (s)
According to the provided information in this question, v = ?, u = 0m/s, a = 1.8m/s², t = 8s
Hence, v = u + at
v = 0 + (1.8 × 8)
v = 0 + 14.4
v = 14.4m/s
Therefore, his final velocity at the end of those 8 seconds is 14.4m/s.
Polymetrics can help a person maintain cardiorespitory fitness T or F
Answer:
True
Explanation:
The term 'plyometrics' is used interchangeably with the term 'jump training'. The technique can be used for training in sports that require explosive movements.
If a football player has a weight of 600 N on earth, what would his weight be on the moon?
Answer:
99n
Explanation:
a student pushes a book with a force of 5 N to the east.which statement
describes the reaction force?
Answer:
5N westward, acting on the student
Explanation:
Answer: 5N westward, acting on the student
Explanation:
In space, rockets move by shooting air backwards. What moves faster the air or the ship?
Answer:
Its being pushed.
Explanation:
There is no air but its being pushed by the flames coming from the rocket.
what happens to the wave length and frequency of a wave as it crosses a different medium and speeds
Answer: SEE EXPLANATION!
Explanation:
When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same.
I hope this helps you!
Distance Versus Displacement: Which one will always be the shortest out of the 2?
Answer:
The "distance" is the answer to the question,
Explanation:
a soccer ball is kicked horizontally off a cliff with an initial speed of 8 m/s and lands 16 m from the base of the cliff What is the time of flight of the soccer ball?
The time of flight of the soccer ball is 2 seconds.
Given the following data:
Initial speed = 8 m/sDisplacement = 16 meters.To find the time of flight of the soccer ball;
Mathematically, the time of flight for a horizontal displacement is given by the formula;
[tex]Time \;of \;flight = \frac{Displacement}{Initial \; velocity}[/tex]
Substituting the values into the formula, we have;
[tex]Time \;of \;flight = \frac{16}{8}[/tex]
Time of flight = 2 seconds.
Therefore, the time of flight of the soccer ball is 2 seconds.
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How long would it take to swim across a lake that is 350 meters, if you swam at 9 m/sec
Answer:
[tex]\boxed {\tt t\approx 38.89 \ s}[/tex]
Explanation:
Time can be found by dividing the distance by the speed.
[tex]t=\frac{d}{s}[/tex]
The distance is 350 meters.
The speed is 9 meters per second.
[tex]d= 350 \ m \\s= 9 \ m/s[/tex]
Substitute the values into the formula.
[tex]t=\frac{350 \ m}{9 \ m/s}[/tex]
Divide. Note that the meters or "m" will cancel each other out and the seconds or "s" will move to the numerator.
[tex]t=\frac{350 }{9 \ s}[/tex]
[tex]t=\frac{350 \ s}{9}[/tex]
[tex]t=38.8888889 \ s[/tex]
Round to the nearest hundredth. The 8 in the thousandth place tells us to round the 8 to a 9.
[tex]t \approx38.89 \ s[/tex]
It will take about 38.89 seconds to swim 350 meters at 9 meters per second.
how many apples are in 29 trees if each tree has 45 apples?
Answer:
1305 I think but not sure
Using only one management style with all people is the most effective leadership technique for any organization.
Answer:
False
Explanation:
More than one management style with all people is the most effective leadership technique for any organization. So, the given statement is False.
What is Leadership technique?Leadership styles are defined as those adopted by company leaders to increase efficiency, satisfaction, growth and advancement in all positions in the organization. It requires a different style in different situations and each leader needs to know when to show a special behavior.
These strategies define every leader's personal leadership style. Some effective leadership Techniques are as follows:
Understanding the objectives clearlyGet to know the teamAlways be a learnerListen.Learn to delegate.Thus, more than one management style with all people is the most effective leadership technique for any organization. So, the given statement is False.
Learn more about Marketing techniques, here:
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