Answer:
The maximum height reached by the ball is 0.212 meters (21.2 centimeters).
Explanation:
In this case, the ball receives a potential energy from deformed spring and reaches its maximum height at the expense of such energy. By Principle of Energy Conservation, we define the phenomenon on the ball by the following model:
[tex]U_{k,1}+U_{g,1} = U_{k,2}+U_{g,2}[/tex] (1)
Where:
[tex]U_{k,1}[/tex], [tex]U_{k,2}[/tex] - Initial and final elastic potential energies, measured in joules.
[tex]U_{g,1}[/tex], [tex]U_{g,2}[/tex] - Initial and final gravitational potential energies, measured in joules.
By definitions of elastic and gravitational potential energies, we expand and simplify the equation above as follows:
[tex]\frac{1}{2}\cdot k\cdot x^{2} = m\cdot g \cdot \Delta y[/tex] (2)
Where:
[tex]m[/tex] - Mass of the ball, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second. .
[tex]\Delta y[/tex] - Height reached by the ball, measured in meters.
[tex]k[/tex] - Spring constant, measured in newtons per meter.
[tex]x[/tex] - Spring deformation, measured in meters.
If we know that [tex]k = 65\,\frac{N}{m}[/tex], [tex]x = 0.08\,m[/tex], [tex]m = 0.1\,kg[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then the maximum height reached by the ball is:
[tex]\Delta y = \frac{k\cdot x^{2}}{2\cdot m\cdot g}[/tex] (2)
[tex]\Delta y = \frac{\left(65\,\frac{N}{m} \right)\cdot \left(0.08\,m\right)^{2}}{2\cdot (0.1\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}[/tex]
[tex]\Delta y = 0.212\,m[/tex]
The maximum height reached by the ball is 0.212 meters (21.2 centimeters).
If the density of water is 1 gram/cm3, this means that the mass of 100 cm3
of water should be *
Answer:
m = 100[gram]
Explanation:
In order to solve this problem, we must remember the definition of the density of matter, which is the relationship between mass and volume. The density can be calculated by means of the following formula.
[tex]Ro=m/V[/tex]
where:
Ro = density = 1 [gramm/cm³]
m = mass [gramm]
V = volume = 100 [cm³]
Now replacing:
[tex]m=Ro*V\\m=(1\frac{grm}{cm^{3} } )*100cm^{3} \\m=100[gram][/tex]
The projectile launcher shown below will give the object on the right an initial horizontal speed of 5.9 m/s. While the other object will be dropped with no initial speed. The objects are initially 179 cm above the ground and separated by 142 cm. What will be the difference in the landing locations of the two objects?
Answer:
104.3 cm or 179.7
Explanation:
First find time that it takes for the object to hit the ground
[tex]\sqrt{(2H)/g} -> \sqrt{(2 x 179)/ 9.8} = 6.04s\\[/tex]*
Then find xf of projectile [tex]xf= 5.9(6.04) = 37.7\\\\[/tex]
not 100% sure if the projectile is going away from the object or towards it but you either do 142- 37.7 or 142+37.7
hope that helps
"217 cm" would be the difference throughout the landing locations of the two objects.
Given:
Initial horizontal speed,
v = 5.9 m/sHeight,
h = 179 cmBy applying equation of motion, we get
→ [tex]S = ut+\frac{1}{2}at^2[/tex]
By substituting the values, we get
→ [tex]179\times 10^{-2}=0+\frac{1}{2}\times 9.8\times t^2[/tex]
→ [tex]3.58= 9.8t^2[/tex]
[tex]t^2 =\frac{3.58}{9.8}[/tex]
[tex]t = \sqrt{0.36531}[/tex]
[tex]= 0.61 \ s[/tex]
now,
The horizontal distance travelled by the first particle will be:
→ [tex]d = v\times t[/tex]
[tex]= 5.9\times 0.61[/tex]
[tex]= 3.59 \ m[/tex]
or,
[tex]= 359 \ cm[/tex]
hence,
The distance between particle will be:
= [tex]d -142[/tex]
= [tex]359-142[/tex]
= [tex]217 \ cm[/tex]
Thus the above approach is right.
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Carbon-14 has a half life of 5730 years. Consider a sample of fossilized wood that when alive would have contained 24g of C-14 it now contains 1.5g. How old is the sample
Answer:
5732 years
Explanation:
hope it helps, if not im sorry
The sample of fossilized wood is 22920 years old.
The half life is the time required for a substance to decay to half of its initial value. It is given by:
[tex]N=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} }[/tex]
Where N is the final value of the substance, No is the initial value of the substance, t is the time and [tex]t_\frac{1}{2}[/tex] is the half life.
Given a half live of 5730 years, N = 1.5g, No = 24g. Hence:
[tex]1.5=24(0.5)^\frac{t}{5730} \\\\1/16=(0.5)^\frac{t}{5730} \\\\ln(1/16)=\frac{t}{5730} ln(0.5)\\\\t=22920\ years[/tex]
Therefore the sample is 22920 years old.
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Which of the following is NOT part of a circuit?
a. rim
b.conductor
c.power source
d.load
At what point or points of the swing is your kinetic energy the least?
Kinetic energy is least at the both at the lowest point and at the top of the swing when you are still for a moment at the highest point just before falling again.
Kinetic energy is least at the top of the swing when you are still for a moment at the highest point just before falling again.
Kinetic energy is least as you are moving from the highest point of the swing moving down to the lowest point of the swing.
Kinetic energy is least at the lowest point at the bottom of the swing.
Answer:
The correct option is;
Kinetic energy is least as you are moving from he highest point of the swing moving down to the lowest point of the swing
Explanation:
The formula for the kinetic energy, KE, is given by the following formula;
KE = 1/2 × m × v²
Where;
m = The mass of the body in the study
v = The velocity of motion of the body
Therefore, the kinetic energy increases with velocity and therefore, is lowest at the top of the swing when the object is still for a moment
The total mechanical energy of the body is given by the following equation;
Total mechanical energy, [tex]E_T[/tex] = PE + KE = Constant
Where;
PE = The potential energy of the body = Mass × Acceleration due to gravity × Height
Therefore, the potential energy is highest at the top of the motion and lowest at the lowest point, which gives;
The kinetic energy is lowest at the top of the motion and highest at the lowest point of the motion.
At what location in this diagram do the magnetic field lines show that the magnetic field is strongest ?
The location in this diagram do the magnetic field lines show that the magnetic field is strongest is in C and wekeness in D.
What are magnetic field lines?The lines representing the magnetic field are closed, that is, they have no beginning or end. This can be observed when we place iron filings on a sheet of paper, over a bar magnet: the pattern of lines formed continues on the part of the paper that is on the magnet, closing.
In the region of the poles we see that the lines of magnetic induction are closer to each other, therefore, we consider that close to the poles the magnetic field is more intense. In this case it is stronger in C and weaker in D.
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Answer:
The strongest is C
Explanation:
Just took the test and got it right, I don't need to over-explain it
A student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 35 2. How much current
flows through the circuit? (AKS 10a)
A.47 A
B. 5.83 A
C.25 A
D.17 A
Answer:
D
Explanation:
6/35=0.17
Examine the weather map.
A weather map of the United notes. The following are shown on the map: major cities with high and low temperatures; high and low pressure systems; types of precipitation, fronts. The arrow is pointing to an H in a circle.
What does the symbol indicated by the arrows most likely represent?
a hurricane
low pressure
high pressure
high temperatures
Answer:
High pressure.
Explanation:
The symbol H indicates high pressure, while the symbol L indicates low pressure. Therefore, option C is correct.
What is a weather map?A weather map is a map of the world or a portion of it that uses symbols to depict the weather conditions at a given time, including temperature, pressure, wind speed and direction, humidity, clouds, visibility, and type and amount of precipitation.
Different kinds of weather maps are used by meteorologists to display forecasts. Satellite, Doppler radar, precipitation, temperature, and wind speed are the primary weather maps. Let's investigate each of these in greater depth. There are four types of weather maps and that is station model map, aviation map, temperature map, and streamline map.
The symbol H indicates high pressure. Therefore, option C is correct.
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An earthquake has just occurred in the North Pole. Could detectors in the South Pole detect the S wave?
Answer:
YES THEY CAN
Explanation:
SOUTH POLE IS CLOSER TO NORTH POLE,kinda
What causes a partial lunar eclipse?
1. A partial eclipse causes the Moon to turn reddish from the refraction of the Sun's rays through the Earth atmosphere.
2. Only the penumbra of the Earth passes across the Moon, creating a circular shadow.
3. The Earth's umbra fits inside the Moon, creating an illuminated ring known as an annular eclipse.
4. The Earth's umbra only covers a part of the Moon causing a circular shadow to pass across it.
Answer:
4. The Earth's umbra only covers a part of the Moon causing a circular shadow to pass across it.
Explanation:
i took the quiz
will give brainlist!
Why does it feel cooler at 90°F when the relative humidity is 30% compared to the same temperature and the relative humidity is 80%?
a. Because the drier air evaporates moisture off your skin more easily.
b. There is no real difference because the temperature is the same.
c. Because there is less air movement at 80% humidity.
d. Because the lower humidity brings down the temperature.
20. A cannon shoots a ball at 38 m/s at an angle of 30°. Ignore the original height of the cannon and assume level ground.
a.How long is the cannon ball in the air?
b. How far does the cannon ball travel?
c.What is the maximum height of the cannon ball?
Charlie runs at an average speed of 6.5 km/hr. If he runs for 1.5 hours, how far has he traveled?
Answer:
9.75 km
Explanation:
Charlie runs 6.5 km/hr
-> Charlie wants to run for 1.5 hours
6.5km + 6.5km/2
= 6.5 km + 3.25km
= 9.75 km
Two skaters stand facing each other. One skater's mass is 60 kg, and the other's
mass is 75 kg. The two skaters push off each other. After the push, the smaller
skater has a velocity of 3.0 m/s. If no other forces are acting on the skaters, what
is the velocity of the larger skater?
Answer:
v' = 2.4 m/s
Explanation:
Given that,
Mass of one skater, m = 60 kg
Mass of the other's skater, m' = 60 kg
The two skaters push off each other. After the push, the smaller skater has a velocity of 3.0 m/s.
When there is no external force acting on a system, the momentum remains conserved. It means initial momentum is equal to the final momentum. Let v' is the velocity of the larger skater.
mv = m'v'
[tex]v'=\dfrac{mv}{m'}\\\\v'=\dfrac{60\times 3}{75}\\\\v'=2.4\ m/s[/tex]
So, the velocity of the larger skater is 2.4 m/s.
Juan's weight is twice the weight of his little sister Anna. They climb the same set of stairs and find they have the same power. Explain how this can be possible?
Answer:
We can define power as:
P = W/t
where W is work, and t is time.
And the work needed to climb a distance (we can assume that climb a set of stairs is equivalent to climbing a given height) is:
W = g*h*m
Where:
g = gravitational acceleration
h = height climbed
m = mass.
g and h are the same for Juan and his sister, and the only thing that changes is the mass
The work for Juan is:
Wj = g*h*M
And for his sister, that has half his
Wa = g*h*M/2.
Then the power for Juan, is:
Pj = Wj/t1 = (g*h*M)/t1
Where t1 is the time that Juan needs to climb the stairs.
And for Anna is:
Pa = Wa/t2 = (g*h*M/2)/t2
Where t2 is the time that Anna needs to climb the stairs:
We know that they have the same power, then:
Pj = Pa
(g*h*M)/t1 = (g*h*M/2)/t2
M/t1 = M/2*t2
t1 = 2*t2
This means that the time in which Juan climbs the stairs is twice the time that Anna needs to climb the stairs.
Which is a result of using a machine?
Answer:
Yes labor is required therefor jobs like cashier, and other low skill labor jobs I'll not be required
Explanation:
Which describes a SEA BREEZE?
Answer:
A sea breeze describes a wind that blows from the ocean inland towards land. ... However, water heats up much more slowly than land and so the air above the land will be warmer compared to the air over the ocean. The warm air over the land will rise throughout the day, causing low pressure at the surface.
Explanation:
This should be right!
If you shake one end of a rope up and down , a wave passes through the rope. Which type of wave is it?
Answer: a transverse wave
Explanation:
Answer:
a transverse wave
Explanation:
I think
Can force be two-dimensional?
Answer:
Yes
Explanation:
Just as motion in two dimensions introduced vectors, forces in two dimensions also involve more involved issues.
After a storm, a hospital may have to rely on backup generators to power some equipment. Which is the energy conversion provided by the generators?
A. mechanical to electrical energy
B. thermal to mechanical energy
C. nuclear to mechanical energy
D. thermal to electric energy
Answer:
in a generator mechanical energy is a device that converts a form of energy into electricty
The energy conversion provided by the generators is: mechanical to electrical energy. Hence, option (A) is correct.
What is working principle of electric generators?An electric generator is a device that generates electric energy, which can either be immediately delivered to houses, businesses, and other structures or stored in batteries. Electromagnetic induction is the basis for how electric generators operate.
A horseshoe-shaped magnet's poles are quickly rotated around a conductor coil, which is a copper coil that has been tightly wound onto a metal core. An armature is made up of a conductor coil and a core. The armature is rotated by a mechanical energy source, such as a motor, by means of a shaft connection.
The magnetic field that exists between the magnet's two poles is broken off when the coil turns. The conductor's electrons will interact with the magnetic field, causing an electric current to flow through it.
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Intermolecular distance is the distance between the particles that make up matter. The graph below compares the intermolecular distances in two substances. One substance is gas and the other is a liquid.
Which statement best describes the two substances?
A. Particles collide in liquids so Substance Y is a liquid
B. Particles collide in gas so Substance X is a gas.
C. Particles move around in liquids so Substance X is a liquid.
D. Particles move around in gas so Substance Y is a gas.
Answer:
y has to be a liquid and x would be a gas
Explanation:
the closer two molecules are, greater is the force of attraction which makes them stick together and give it a structure
here y has lesser intermolecular distance so it is a liquid
particles will collide in gas though as
liquid particles have constant motion
An airplane accelerates down a runway at 3.20 ms for 32.8 seconds until it finally lifts off the ground determine the distance traveled before takeoff
Answer:
105 meters.
Explanation:
If the airplane moves with the speed of 3.20 m/s for 32.8 seconds on the ground before takeoff, it covers 105 meters distance on the ground. We can calculate the distance by using the formula of speed which is speed is equal to distance divided by total time taken. We have to remove time present below the distance so for that we have to cross multiply and we get distance equal to speed x time. So by putting the values of speed and time we get our answer.
i need help on this 8th grade knowledge please
At one focus of the ellipse of a planet’s orbit is the _______ and the other focus has nothing.
It takes me 12s to lift a box upward with 20 N of force to a height of 45m. What was my power output ?
Answer:
75Watts
Explanation:
Given parameters:
Time = 12s
Force applied = 20N
Height = 45m
Unknown:
Power output = ?
Solution:
Power is defined as the rate at which work is done.
It is mathematically expressed as;
Power = [tex]\frac{work done}{time}[/tex]
Work done = force x distance = 20 x 45 = 900J
Power = [tex]\frac{900}{12}[/tex] = 75Watts
Anyone please help me with this ???I need help with question a,c,d, and e ???ASAP 12 points
Help thank you...............
Answer:
do explain what u need help with?
calculate the densities of the following materials. Material A has a volume of 2 cm 3 and mass of 30 g.
Answer:
0.015kgcm^3
Explanation:
density = mass / volume
density = (30/1000) / 2
= 0.015kgcm^3
A car has a speed of 2 m/s and a mass of 1500kg. What is the car’s kinetic energy
Answer:
3,000 m/s
Explanation:
3,000 m/s
How should the student change the circuit to give negative values for current and potential difference?
Answer:
Please find the answer in the explanation.
Explanation:
How should the student change the circuit to give negative values for current and potential difference?
Positive and Negative current can be seen when charging and discharging a device or when powering a load.
Negative current can also be achieved when current is allowed to flow in other direction.
If the direction of the current is changed, the voltage will read negative. Changing of power or battery terminals can make voltmetre to read negative.
The student can reverse the direction of current flow in a circuit to obtain the negative values for current and potential difference in the circuit.
To determine the negative current flow and potential difference in a circuit, we can consider following ways;
During charging, the current flows in a specific direction for which it is taken as positive. Then the voltmeter reading will be positive and potential difference is positive.During discharging, the direction of current is reversed for which current becomes negative and the voltmeter reading is also negative. Hence, the potential difference is negative.Changing battery terminals also reverses the direction, to produce negative current and potential difference.Thus, the negative values of current and potential difference is obtained by reversing the direction of current flow in a circuit.
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