Answer:
The pressure on the ground is about 9779.5 Pascal.
The pressure can be reduced by distributing the weight over a larger area using, for example, a thin plate with an area larger than the circular area of the barrel's bottom side. See more details further below.
Explanation:
Start with the formula for pressure
(pressure P) = (Force F) / (Area A)
In order to determine the pressure the barrel exerts on the floor area, we need the calculate the its weight first
[tex]F_g = m \cdot g[/tex]
where m is the mass of the barrel and g the gravitational acceleration. We can estimate this mass using the volume of a cylinder with radius 30 cm and height 1m, the density of the water, and the assumption that the container mass is negligible:
[tex]V = h\pi r^2=1m \cdot \pi\cdot 0.3^2 m^2\approx 0.283m^3[/tex]
The density of water is 997 kg/m^3, so the mass of the barrel is:
[tex]m = V\cdot \rho = 0.283 m^3 \cdot 997 \frac{kg}{m^3}= 282.151kg[/tex]
and so the weight is
[tex]F_g = 282.151kg\cdot 9.8\frac{m}{s^2}=2765.08N[/tex]
and so the pressure is
[tex]P = \frac{F}{A} = \frac{F}{\pi r^2}= \frac{2765.08N}{\pi \cdot 0.3^2 m^2}\approx 9779.5 Pa[/tex]
This answers the first part of the question.
The second part of the question asks for ways to reduce the above pressure without changing the amount of water. Since the pressure is directly proportional to the weight (determined by the water) and indirectly proportional to the area, changing the area offers itself here. Specifically, we could insert a thin plate (of negligible additional weight) to spread the weight of the barrel over a larger area. Alternatively, the barrel could be reshaped (if this is allowed) into one with a larger diameter (and smaller height), which would achieve a reduction of the pressure.
The half-life of carbon-14 is 5730 years. Explain how to figure out the age of a substance that has 25% carbon-14 remaining. A) Multiply 25% times 5730 years since only 25% of the carbon remains. B) Divide 5730 years by 2 since carbon has gone through two half-lives. C) Multiply 5730 years by 2 since two half-lives have gone by for carbon. D) Multiply 4 times 5730 years since carbon has gone through 4 half-lives.
Answer:
C
Explanation:
25% is two half lives.
Each half life requires 5730 years.
So two half lives requires
2
×
5730
Related questions
Answer:
the answer is c
Explanation:
A caterpillar travels straight for 3 cm, and then turns left and crawls 4 centimeters farther. If its final position is east of its initial position, what is its displacement from its initial position?
3-squared + 4-squared = 5-squared
The bug's displacement is 5cm east.
Answer:
Displacement 5 cm from 45 degree above the initial position.
Explanation:
A caterpillar travels straight for 3 cm and then turns left 4 cm. Displacement is the difference between the final and initial position. Displacement is a vector quantity.
vector addition:
[tex]R = \sqrt {3^2+4^2} = 5 cm[/tex]
A boy 1m tall looks at the swimming pool, which appears to be 75 cm deep, according to the people around him. He finds himself almost completely submerged in water when he steps into the water. Was he tricked? How did it happen?
Well the answer is:
No he was not tricked.
This is what happened:
He is 1 meter tall and the water is 75 cm deep.
Let's convert the units so that they are the same we can look at it two ways.
1 meter (m) = 100 centimeters (cm)
This means that just about 75% of his body would be submerged.
You can also convert it 75 centimeters into meters.
75 centimeters = 0.75 meters.
Just remember that centi means 100th of a unit or [tex]\dfrac{1}{100}[/tex].
A 10n force is applied to a 25kg mass to slide it across a frictional surface. What is the acceleration of the mass?
Force (in Newtons) equals mass (in kilograms) times acceleration (in meters per second squared).
Plug in the given force and mass to the equation and solve for acceleration:
10=25a
0.4m/s2=a
Hope this helps!!
Answer: a = 0.4m/s^2 - 9.8*c where c is the coefficient of kinetic friction of the surface
Explanation: We know that, by the second Newton's law, a = F/m
where a is the acceleration, F is the net force and m is the mass of the object.
Then, if the surface is frictionless, the total force applied in the object is 10N, and the mass of the object is 25kg, so the acceleration is:
a =10N/25kg = 0.4m/s^2.
But if the surface is frictional, there will be a force of friction applied in the mass (this depends on the coefficient of friction and the weight of the mass), this means that the acceleration will be reduced.
If = -(9.8*25)*c
where c is a number that is bigger than 0 and smaller than 1, is called the coefficient of kinetic friction.
So the total force is now:
F = (10 - 9.8*25*c)
Then, the acceleration in a frictional surface is equal to:
a = (10 - 9.8*25*c)/25 = 0.4m/s^2 - 9.8*c
If a bat hits a ball with a 1000-N force, what force does the ball exert on the bat? 500 N 0 N 1000 N 100 N
Answer:
The correct answer option is 1000 N.
Explanation:
A force is a push or a pull which acts upon any object as a result of its interaction with another object where the forces are called action and reaction.
According to Newton's third law: for every action, there is an equal and opposite reaction.
The given situation is an example of the third law of Newton. So if a bat hits a ball with a 1000-N force, the force exerted on the bat will be equal to 1000 N but in opposite direction.
If a bat hits a ball with a 1000-N force, what force does the ball exert on the bat?
A) 500 N
B) 0 N
C) 1000 N
D) 100 N
Your answer will be (C)
2) In order to generate electricity from mechanical energy, one essential element needed to transform the energy into electrical energy is
Answer:
In order to generate the electricity from mechanical energy, the generator is needed.
The generator, which converts Mechanical energy in to Electrical energy, by magneto induction, which is when voltage induced by change in magnetic field.
Satellite A orbits the earth at a height 2.00 times the earth's radius.Satellite B orbits the earth at a height 3.00 times the earth's radiusWhat is the ratio of the period of Satellite B to the period of Satellite A?
Answer:[tex]\sqrt 3 :\sqrt 2[/tex]
From Kepler's law: The cube of radius of the orbit of satellite is proportional to square of time period of orbit.
[tex]r^3=\frac{T^2 Gm}{4\pi ^2}[/tex]
where, r is the radius of the orbit of satellite, T is the time period of satellite, G is the gravitational constant, m is the mass of the planet.
R is the radius of Earth.
[tex]\frac{r_A^3}{r_B^3} = \frac{T_A^2}{T_B^2} \\ \Rightarrow \frac{2R}{3R}=\frac{T_A^2}{T_B^2} \Rightarrow \frac{T_B}{T_A}=\sqrt{\frac{3}{2}} [/tex]
Hence, the ratio of the period of Satellite B to the period of Satellite A is [tex]\sqrt 3 :\sqrt 2[/tex]
Final answer:
The ratio of the period of Satellite B to the period of Satellite A is approximately 1.89.
Explanation:
In order to calculate the ratio of the periods of Satellite B to Satellite A, we need to understand that the period of a satellite is related to the radius of its orbit. According to Kepler's third law, the square of the period of a satellite is directly proportional to the cube of the radius of its orbit.
Let's define the radius of Earth as R and the radius of Satellite A's orbit as RA. From the given information, RA = 2R and the radius of Satellite B's orbit as RB = 3R.
The ratio of the periods can be expressed as:
(TB/TA)² = (RB/RA)³
Substituting the values, we get:
(TB/TA)² = (3/2)³ = 27/8
Taking the square root of both sides, we find:
TB/TA = [tex]\sqrt{(27/8)}[/tex] ≈ 1.89
What is the minimum body mass index for obesity
Answer:
30.1
Explanation:
The BMI classify people in underweight, normal weight, overweight and obesity, based exclusively on the individual's mass and height. The following classification are commonly accepted: underweight below 18.5 [tex]\frac{kg}{m^2}[/tex], normal weight: 18.5 to 25, overweight: 25 to 30 , obese: more than 30.
A 50kg Cheetah has a kinetic energy of 18,000J. What is its velocity?
The velocity of a 50kg cheetah with a kinetic energy of 18,000 J is approximately 26.83 m/s, calculated using the formula for kinetic energy = 1/2 * m * v^2.
Explanation:The question concerns the relationship between the kinetic energy, mass, and velocity of an object, specifically a 50kg cheetah. Kinetic Energy is given by the formula 1/2 * m * v^2, where m is the mass and v is the velocity. Specifically, in this scenario, the kinetic energy of 18,000 J (Joules) equals 1/2 * 50 kg * v^2 . Solving this equation for velocity, we have v = sqrt((2 * Kinetic Energy) / m) = sqrt((2 * 18000) / 50) = sqrt(720) ≈ 26.83 m/s. Therefore, the cheetah's velocity would be approximately 26.83 meters per second.
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Discuss the advantages and disadvantages of series circuits compared to parallel circuits. Give an example of where each type of circuit could be used.
Advantage of series circuit :
1. allows all the components in the circuit to have same current flowing through them.
2. one switch is enough to turn off all the components in the circuit in series.
3. make the circuit small by using smaller length of wire.
Disadvantages of series circuit :
1. If one component becomes defective , it does not allow other components to operate, since they share same current.
2. all components can not have same voltage across them.
in Which medium would sound travel the fastest,water at 10 degrees Celsius or water ar 25 degrees Celsius?
Sound travels faster in water at 10 degrees Celsius compare to water at 25 degrees Celsius.
What is mechanical wave?An oscillation of matter known as a mechanical wave is what is responsible for the transmission of energy via a medium.
The transmission medium sets a restriction on how far a wave can travel. In this instance, there is almost little translational motion and the oscillating material rotates around a fixed point. The measurement of mechanical waves, which is determined by displacement divided by wavelength, is one intriguing aspect of them.
Sound is a mechanical waves whose speed is depends on the density of the medium. As water at 10 degrees Celsius is denser than water at 25 degrees Celsius, sound travels faster in water at 10 degrees Celsius compare to water at 25 degrees Celsius.
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According to the graph, the volume of the gas is
Answer:
According to graph " Volume of the gas is directly proportional to the absolute temperature at constant pressure"
As a fact, Charles's law states that " At constant pressure the volume of fixed amount of gas is directly proportional to the absolute temperature" .Mathematically,V ∝ T at P = constant;
A centrifuge was used to separate into it’s components. What conclusions out the sample can be formed based on the technique used?
A centrifuge is used to separate specimens of different densities. It applies a centripetal force to cause the denser components to separate from the less dense ones. This technique can be used for various purposes, including cell fractionation and separating bacteria, viruses, and proteins based on their density.
Explanation:A centrifuge is a rotating device used to separate specimens of different densities. It operates by applying a centripetal force, which causes the denser components to separate from the less dense components. Based on the technique used, one can conclude that the sample was separated into its components based on differences in density.
For example, in the case of cell fractionation, a centrifuge can be used to separate subcellular structures by differences in mass. The more massive structures settle at the bottom of the centrifuge tube first, while the less massive ones remain suspended for longer. This allows for the isolation and analysis of different organelles and cellular substructures to determine their functions.
In other applications, such as in the separation of bacteria, viruses, and proteins, a centrifuge can separate these components based on their density. The heavier components settle at the bottom while the lighter ones remain suspended. This enables the isolation and study of these components individually.
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The simulation kept track of the variables and automatically recorded data on object displacement, velocity, and momentum. If the trials were run on a real track with real gliders, using stopwatches and meter sticks for measurement, how might the data compare? Check all that apply.
- There would be variables that would be hard to control, leading to less reliable data.
- The data would be just as valid if it were recorded with a stopwatch.
- Meter sticks may lack precision or may be read incorrectly.
- Real glider data may vary since real collisions may involve loss of energy.
- Human error in recording or plotting the data could be a factor.
- Controlling real glider velocities by hand would be just as accurate as simulation controls.
We have that all that apply. are
There would be variables that would be hard to control, leading to less reliable data. Meter sticks may lack precision or may be read incorrectly.Real glider data may vary since real collisions may involve loss of energy. Human error in recording or plotting the data could be a factor.
From the question we are told that
-There would be variables that would be hard to control, leading to less reliable data.
- The data would be just as valid if it were recorded with a stopwatch.
- Meter sticks may lack precision or may be read incorrectly.
- Real glider data may vary since real collisions may involve loss of energy.
- Human error in recording or plotting the data could be a factor.
- Controlling real glider velocities by hand would be just as accurate as simulation controls.
Generally
Practical exercise are made to have error that is why they are done over and over again and the average score taken as the main score.
Haven done this act it goes to show us that the Results is inaccurate or not ideal which in essence leaves us with these decision as the ones that apply
There would be variables that would be hard to control, leading to less reliable data. Meter sticks may lack precision or may be read incorrectly.Real glider data may vary since real collisions may involve loss of energy. - Human error in recording or plotting the data could be a factor.For more information on this visit
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Final answer:
Running trials with real gliders and manual measurement tools like stopwatches and meter sticks may result in data that is less reliable compared to the data recorded in the simulation. Various factors such as difficult-to-control variables, measurement errors, and variations in real glider collisions can impact the accuracy and consistency of the data.
Explanation:
The data obtained from running trials on a real track with real gliders using stopwatches and meter sticks for measurement may compare differently to the data recorded in the simulation. Here are the possible comparisons:
There would be variables that would be hard to control, which could lead to less reliable data. This is because in a real-life scenario, there are external factors that may affect the measurements, such as air resistance or uneven surfaces.
Meter sticks may lack precision or may be read incorrectly. Human error in measuring the displacement of objects could introduce inaccuracies in the data.
Real glider data may vary compared to the simulation due to loss of energy in real collisions. In a simulation, the loss of energy may not be accurately represented, leading to differences in momentum calculations.
Human error in recording or plotting the data could be a factor. Even with careful measurements, there is always a potential for human error, which may affect the accuracy of the recorded data.
If calvin pushes a lawnmower 20 meters with a force of 2n. how much work has he done?
Answer:
40 Joules
Explanation:
Work done is directly proportional to force and displacement. Use this formula to determine the work:
(work) = (force) x (displacement) = (2 N) x (20 m) = 40 Joules
Which of these is studied using science?
a. thirteen is an unlucky number
b. finding a four leaf clover is lucky
c. breaking a mirror brings bad weather
d. sudden fall in air pressure affects weather
d. sudden fall in air pressure affects weather...common man
Compare how pressure and temperature change with depth inside Earth.
Pressure increases with depth inside Earth due to the weight of the fluid above, and temperature also increases as you go deeper, due to the Earth's internal heat and geothermal gradient.
Explanation:In a fluid, pressure increases with depth. This is due to the weight of the fluid above pushing down on the fluid below. As you go deeper inside the Earth, both pressure and temperature increase. The increase in pressure is due to the weight of the Earth's layers above, while the increase in temperature is a result of the Earth's internal heat and the geothermal gradient.
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if a car engine does 600,000 J of work over a 500m distance and the mass of the car is 250Kg then what is the final velocity of the car?
Given that
Work = 600,000 J ,
distance(S) = 500 m ,
mass (m) = 250 Kg ,
Determine the velocity of car (v) = ?
We know that,
Work = Force × distance
=> Force = Work ÷ distance
= 600,000 ÷ 500
= 500 N .
Also Force F = m.a ; from Newtons II law
500 = 250 × a
a = 2 m/s.
Final Velocity from the given formula
V² = u² + 2.a.s
= 0 + 2 × 2 × 500
= \sqrt{2000}
v = 44.7 m/s
1) Harold pushed a 10 kg box to the right with 7 Newtons of force. Jerome pulled the same box to the right with 7 Newtons of force. Are the forces on the box balanced? Will the box accelerate?
Given data:
mass of box = 10 kg,
Force (F1) = 7 N, (push towards rightside)
Force (F2) = 7 N (Pulled towards right side)
It is clear from the question that the two forces are acting in the same direction, so the box will accelerates.
Total force(F) = 7+7 = 14N.
According to Newtons II law F=m.a
14 = 10 × a
a = 1.4 m/s2
The box accelerates with 1.4 m/s2
A car moving at a velocity of 20 m/s (at t = 0 sec) acquires a velocity of 40m/s. If the acceleration of the car is 4 m/s2, calculate
(i) Time taken by the car to acquire the velocity of 40m/sec. (ii) Distance travelled by the car for attaining the velocity of 40m/sec.
Final answer:
The time taken by the car to reach a final velocity of 40 m/s is 5 seconds, and the distance traveled by the car during this acceleration is 150 meters.
Explanation:
To solve this physics problem, we need to use the equations of motion. Specifically, we're looking for the time (i) Time taken to reach a final velocity and the (ii) Distance traveled during this acceleration.
Calculating the Time Taken (i)
The equation to use here is v = u + at, where:
v is the final velocity (40 m/s)u is the initial velocity (20 m/s)a is the acceleration (4 m/s²)t is the time (which we are trying to find)Substituting the known values we get:
40 = 20 + 4t
t = (40 - 20) / 4
t = 5 seconds
Calculating the Distance Travelled (ii)
Now we use the equation x = ut + ½ at² to find the distance traveled, where x is the distance. With the time (t = 5s) calculated from the previous part, we get:
x = 20 × 5 + ½ × 4 × 5²
x = 100 + 50
x = 150 meters
rays traveling parallel to the principle axis of a concave mirror will reflect out through the mirrors focus?
a. true
b. false
Answer:
True
Explanation:
When a ray travelling parallel to the principle axis of a concave mirror then the light ray reflect out through the mirrors and passing through the focus.
When a light ray travelling through focus of a concave mirror then after reflection the light ray reflect out through the mirror and go parallel to principle axis.
Therefore, rays travelling parallel to the principle axis of a concave mirror will reflect out through the mirrors focus.
It is true.
Answer:
true
Explanation:
Define the term “force”.
Energy that is applied to an object.
--TheOneandOnly003
The Jedi have the force. it flows through all things. Joking it will change the motion of an object
if you have a 1.5 L container of tea and the label state that the container contains 1.2 g of sugar grams of sugar what's the concentrated of sugar in the tea
Given data
mass of solute (m) = 1.2 g ,
Volume of solution = 1.5 L ,
= 1.5 × 1000 mL
= 1500 mL ,
What is the concentration of solution = ?
concentration = (mass of solute) ÷ (100 mL of solution)
= (1.2) ÷ (1500 mL of solution)
Note: remember to divide both numerator and denominator by 15 to get concentration per 100 ml
Therefore concentration = 0.1 /100 mL ;
The concentration of sugar in a tea is 0.1/100 mL
2in+3in+4in+4in+6in+7in calculate the area and perimeter of each shape
Answer:
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side).
The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
a.
a=3, b=4 and c=5
a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25
25 = 25 ⇒ right triangle.
b.
a=5, b=6 and c=7
a² + b² = 5² + 6² = 25 + 36 = 61 and c² = 7² = 49
61 > 49 ⇒ аcute triangle.
c.
a=8, b=9 and c=12
a² + b² = 8² + 9² = 64 + 81 = 145 and c² = 12² = 144
145 > 144 ⇒ аcute triangle.
The more energy a particle has, the more it will move. which statement is true about the energy level of liquids ?
the resistor has a resistance of 3 ohms. If no change in the battery size occurs, what will happen to the current if the resistance increases to 6 ohms?
Quick answer the current will go down.
The formula is
E = I * R. The variation is a direct one. Let us suppose E = 12 volts.
12 = I * 3 ohms Divide both sides by 3
12/3 = I
I = 4 amps
Now do it again for 6 ohms
12 = I * 6 Divide both sides by 6
12/6 = I
I = 2
So the current went down from 4 to 2
Which statement best describes the formation of igneous rocks?
A.Layers of dirt and other rocks are pressed together to form igneous rocks
B.Molten material cools and hardens to form igneous rocks
C.Elements in the earth form igneous rocks by compacting them together
D.Wind erodes mountains into small igneous rocks
The statement that describes the way igneous rock is formed in this question is B:Molten material cools and hardens to form igneous rocks
Igneous rocks can be regarded as type of rock that is usually formed as a result of solidification of molten rock material. It usually crystallize below Earth's surface, and after the crystallization, slow cooling follows, hence large crystals is formed.Examples of igneous rocks are:
pegmatitediabasegranitedioritegabbroigneous rocks can also be put into some categories such as base on their chemical composition and these are intermediate as well as mafic and ultramafic.
Therefore, option B
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what is the measurement of how fast an object moves relative to a reference point?
The measurement of how fast an object moves relative to a reference point is speed, or motion. Hope this helped:)
Final answer:
The measurement of an object's speed relative to a reference point is termed relative speed, which all observers can agree upon when accounting for distance and elapsed time. High-speed measurements can vary due to relativistic effects such as length contraction. Velocity includes both speed and direction of motion.
Explanation:
The measurement of how fast an object moves relative to a reference point is known as relative speed. This concept is crucial because the measurement of speed depends on the observer's frame of reference. When determining the relative speed of an object, both the distance the object travels and the time it takes to cover that distance are taken into consideration. The equation for relative speed is the distance traveled divided by the elapsed time, which all observers can agree upon, regardless of their individual motion.
Another important factor to consider at high speeds, especially those approaching the speed of light, is how these measurements can differ due to relativistic effects. According to the theory of relativity, as described by the equation 1 - v²/c², an observer at rest would perceive the length of an object moving at speeds close to the speed of light as significantly shortened. This length contraction affects how distances and, consequently, speeds are measured.
In the context of everyday speeds, we often discuss velocity, which is the speed of an object with the direction of its motion considered. If an object is said to have a speed of 50 mph, that's its scalar magnitude. However, if that object is moving northeast at 50 mph, its velocity is defined, combining both magnitude and direction.
PLEASE HELP!!!
which of the following would be used to measure the mass of an object?
1.graduated cylinder
2. scale
3. stopwatch
4. meter stick
The answer that makes the most sense is answer choice 1... the answer definitely couldn't be scale ( answer choice 2), because mass and weight are two different things. Weight is measured on a scale and mass is is measured by using a balance, hope this helps !! :)
Answer:
A graduated cylinder measures the volume of a liquid.
Oy mate, help meh.
During mitosis, the genetic material in a cell is replicated, and then the cell splits into two new cells. The two new cells are genetically identical to the original cell.
Which part of cell theory do these statements best support?
A.
All organisms are made up of many different types of cells.
B.
All cells come from pre-existing cells.
C.
Both living and nonliving substances are made of cells.
D.
New cells can be spontaneously generated.
Answer:c
Explanation:
Because it is you see