The distance traveled by the pool ball is 0.376 m.
To calculate the distance traveled by the ball, we need to first find the resultant velocity of the ball.
What is resultant velocity?This is the single velocity obtained when two or more velocities are combined.
To calculate the resultant velocity, we use the formula below.
Formula:
Vr = √(Vx²+Vy²)............. Equation 1Where:
Vr = Resultant velocity.From the question,
Given:
Vx = 0.5 m/sVy = 0.8 m/sSubstitute these values into equation 1
Vr = √(0.5²+0.8²)Vr = √(0.25+0.64)Vr = √(0.89)Vr = 0.94 m/sFinally, to calculate the total distance, we use the formula below.
Formula:
d = (Vr)t.......... Equation 2Where:
d = Distance traveled by the ballt = timeFrom the question,
Given:
Vr = 0.94 m/st = 0.4 sSubstitute into equation 2
d = 0.4×0.94d = 0.376 mHence, the distance traveled by the pool ball is 0.376 m.
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A car starts from rest and coasts down a hill with a constant acceleration.If it goes 90m in 8s,find the acceleration and velocity after 8s.
Spring constant here for 22 cm spring is 50 N per metre 840 if you stretch the spring and when is measured again is 32 cm long what is the size of this force
What keeps the Moon from falling directly to Earth?
OA. The Moon is balanced between the gravitational pulls from both
Earth and the Sun.
OB. The Moon's gravitational force balances the gravitational pull from
Earth.
OC. The Moon's rotation about its own axis creates centripetal force
that balances Earth's pull.
OD. The Moon has a large tangential velocity that causes it to "miss"
Earth as it falls toward it.
The reason why the moon does not fall back to the earth is that the Moon's rotation about its own axis creates centripetal force
that balances Earth's pull.
What is the gravitational force?The gravitational force is the force that keeps the solar system together. All the members of the celestial bodies are held in place by gravity.
Thus, the reason that keeps the moon from falling back to the earth is because the Moon's rotation about its own axis creates centripetal force that balances Earth's pull.
Hence, their tangential velocity is sufficient to ensure that the flight path misses the object being orbited. The centripetal force is enough to bend the otherwise straight path into an ellipse.
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Answer:
D. The Moon has a large tangential velocity that causes it to "miss" Earth as it falls toward it.
Explanation:
You want to know what keeps the Moon from falling directly to Earth.
OrbitThe Moon does not fall directly to Earth because the direction of motion is more or less perpendicular to the direction of Earth from the Moon. That is, the large tangential velocity causes it to "miss" Earth.
Additional comment
One object will orbit another if their mutual gravitational attraction provides enough acceleration (change in speed and/or direction) to bend the path into a circular or elliptical one. If the acceleration is too little, the path may be bent, but no orbit will be established. If the acceleration is too great, the path may be bent to a curve that ultimately causes the objects to collide.
In general, the multi-body dynamics present in the solar system mean that the orbits of various objects are chaotic. In the short term, they are fairly predictable, but short-term behavior may not be predictive of long-term behavior.
at what temperature does the fahrenheit scale read quartered the celsius scale ? what is the corresponding reading in kelvin scale ?
The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C
Reading in kelvin scale = 252.5 K
Determine the temperature at which the Fahrenheit scale reads quartered the celsius scaleThe relationship between Fahrenheit and celsius can be expressed as
F = (9/5)(C) + 32 ---- ( 1 )
Therefore the temperature at which Fahrenheit scale quarters the celsius scale is :
F = 1/4 C --- ( 2 )
Back to equation ( 1 )
1/4 C = (9/5)(C) + 32
1/4C - 9/5C = 32
C ( 1/4 - 9/5 ) = 32
C = 32 / ( 1/4 - 9/5 )
= -20.64⁰C
F = 1/4 ( -20.64 ) = -5.16 ⁰F
Hence we can conclude that The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C. Reading in kelvin scale = 252.5 K
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Microscopes are used to study the structures of rocks. Over time, microscopes have become more and more powerful.
As a result of this technological improvement, our structural information of rocks
As a result this technological improvement, our structural information of rocks has improved greatly.
What is a petrographic microscope?A petrographic microscope is a type of optical microscope that is used to identify rocks and minerals in very thin sections and also to investigate microscopic textures and features that are present in minerals and rocks.
This has improved greatly recent structural information about rocks.
Hence, microscopes used in the study of structures of rocks has overtime improved greatly our structural information about them
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Answer:
B is the correct answer.
Explanation:
30 POINTS!!! how long must a 50 N force act on a 400 kg mass to raise its speed from 10 m/s to 12 m/s
Answer:
16 seconds
Explanation:
we want to find the acceleration first:
F = ma
50/400 = a
a = 0.125 m/s²
laws of motion formula:
vf = vi + at
12 = 10 + 0.125t
t = 16 seconds
hope this helps :)
The radius of a nucleus is about 1/10000 that of an atom.
Calculate the radius of a magnesium nucleus.
Give your answer in standard form.
The radius of a magnesium atom is 0.160nm. The radius of a nucleus is about 1/10000 that of an atom.
What is nucleus?The nucleus is an organelle that contains the DNA i.e. genetic material and other materials which is required for cellular processes. It is only found in eukaryotic cells that is responsible for controlling the processes of the cell.
So we can conclude that the radius of a magnesium atom is 0.160nm which is equals to about 1/10000 radius of that atom.
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Define 1 volt. Express it in terms of SI unit of work and charge calculate the amount of energy consumed in carrying a charge of 1 coulomb through a battery of 3 V.
Answer:
Work done =3 joules
Explanation:
1 volt is the same as 1 Coulomb and 1 Joule
V=W/Q
1=W/3
W=3 x 1
W=3 Joules
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On the fret board the encircled ? represents which note
A. A flat
B. A sharp
C. C sharp
D. E Flat
Answer:
B. A sharp
Explanation:
The power in a circuit is 2 W and the voltage is 20 VDC. What's the circuit current?
Answer:
Power in the circuit is 0.1 amp
Explanation:
The power in the circuit is given by the formula
P = V x I
Where P is Power, V is voltage supplied and I is current in circuit.
so, I = P/v
= 2/20
=0.1 A
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Classify each characteristic as either a metal or a nonmetal.
shiny surface
dull surface
good conductor of electricity
good conductor of heat
poor conductor of electricity
poor conductor of heat
malleable
brittle
Answer:
metal, non, metal, metal, non, non, metal, non
Explanation:
knowledge
Calculate the current through the ammeter (look at photo)
Answer:
6 amps
Explanation:by Kirchhoff's loop rule the current at any point in the loop must be equal or charge would be building up. The current at the ammeter is equally to the total current through the sun of the paths in parallel which it is in series with
A object moving at 20m/s slows uniformly at the rate of 30m/s² each second for a time of 4second determine A.its final velocity? B.its average velocity during the 4second? C.the distance moved in 6second
Answer:
a its final velocity
Explanation:
A car of mass 500 kg is moving at a speed of 1.2 m/s. A man pushes the car, increasing the speed to 2 m/s. How much work did the man do?
A. 1360 J
B. 360 J
C. 640 J
D. 1000 J
Answer:
Option B - 360 J
Explanation:
One of the formulas used to find out how much work was done is :
E = 0.5×m×v² (where m is the mass and v is the velocity)
Now we substitute values from the question and simplify :
E = 0.5×500×1.2²
E = 250×1.2²
E = 250×1.44
E = 360 J
So our answer is Option B
Hope this helped and have a good day
A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the tables edge in the
horizontal direction.
a. How long is the marble in the air?
b. What is the speed of the marble when it leaves the tables edge?
Im/s
C. What is its speed when it hits the floor?
A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the edge of the table in the horizontal direction,
t= 0.45 seconds.V=2.22m/sVT=4.95 m/sThis is further explained below.
What is its speed when it hits the floor...?Generally, the equation for motion is mathematically given as
S= ut + 0.5at²
Therefore
y = Voy t + 0.5gt^2
1 = 0.5x 98 x 6²
1=4.9t^2
[tex]t=\sqrt{0.2041 }[/tex]
t= 0.45 seconds.
b) Horizontal motions are uniform.
V=Horizontal displacement/time
V=1/0.45
V=2.22m/s
C)
Vx: 2.22 m/s At bottom,
Vy² = Voy² + 2as
Vy² = 2x95x1
Vy² = 19.6
Total velocity
[tex]VT=\sqrt{( 2.22 m/)^2+19.6}[/tex]
VT=4.95 m/s
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Discuss how wind energy was used in ancient times.
Answer:
People used wind energy to propel boats along the Nile River as early as 5,000 BC. By 200 BC, simple wind-powered water pumps were used in China, and windmills with woven-reed blades were grinding grain in Persia and the Middle East.
Explanation:
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a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity
Answer:
6 m/s
Explanation:
Average velocity = Total distance covered / Time taken to cover distance
Finding Average Velocity :
⇒ 20 m + 40 m / 2 s + 8 s
⇒ 60 m / 10 s
⇒ 6 m/s
a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity.
Solution:AV = 20m + 40m/s 2s + 8secondAV = 60m/s ÷ 10sAV = 6m/s²So the Average velocity is 6m/s²
Is the ability to discriminate between two close objects.
Answer:
resolution
Explanation:
That is the definition of resolution
ten-story building has identical stairs throughout its stairways. A student calculates the amount of work required to climb one set of stairs and the amount of work to climb the entire ten sets.
Which quantity will remain constant in this experiment?
Answer:
c
Explanation:
The object was thrown vertically upwards at a speed of 30 m / s. How high does the body go?
and how long does it take to get back to the point of shooting?
Answer:
4.9
Explanation:
Velocity half second before maximum height = Velocity half second after maximum height (Return journey)
For downward journey :
Initial velocity u=0 m/s
We have g=9.8 m/s
Time t= ½s
s
Thus velocity after half second v=u+gt
v=0+9.8× ½ =4.9m/s
1. Identify Give three examples of kinetic energy and three examples of potential energy .
Answer:
Examples of Gravitational Potential Energy
A raised weight.
Water that is behind a dam.
A car that is parked at the top of a hill.
A yoyo before it is released.
River water at the top of a waterfall.
A book on a table before it falls.
A child at the top of a slide.
Ripe fruit before it falls.
Explanation:
Any object in motion is using kinetic energy: a person walking, a thrown baseball, a crumb falling from a table, and a charged particle in an electric field are all examples of kinetic energy at work.
Two identical masses are attached to frictionless pulleys by very light strings wrapped around the rim of the pulley and are released from rest. Both pulleys have the same mass and same diameter, but one is solid and the other is a hoop As the masses fall in which case is the tension in the string greateror is it the same in both cases? Justify your answer
The tension in the string is same in both cases because of the similar mass or weight of the bodies.
Is tension be the same in both cases?Both pulleys have the same mass and same diameter, but one is solid and the other is a hoop, then there is same tension occurs in both cases because tension depends on mass which is similar on both side. We know that tension is the opposite force of the weight.
So we can conclude that the tension in the string is same in both cases because of the similar mass or weight of the bodies.
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How do light waves differ from sound waves?
Answer:
Light waves are electromagnetic waves while sound waves are mechanical waves. :)
Why is digital forensics important?
Hi! digital forensics is important because not only does digital forensics allow cyber security organisations to develop technologies that can prevent hackers from accessing devices, websites and networks but can lead businesses in the direction of understanding exactly what data is compromised.
According to the law of conservation of energy, which changes would INCREASE the total energy of a system?
A. An addition of 400 J of thermal energy and a loss of 550 J of kinetic energy
B. An addition of 200 J of thermal energy and a loss of 550 J of thermal energy
C. An addition of 300 J of GPE and a loss of 450 J of thermal energy
D. An addition of 500 J of kinetic energy and a loss of 450 J of thermal energy
The changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.
What is conservation of energy?The term conservation of energy means that energy can not be created nor destroyed.
In this case, the changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.
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3. Harris is putting in a three-phase Y-Y-
connected transformer bank and the
secondary line-to-line voltage is 208 V.
What's the line-to-neutral voltage?
O A. 120 V
O B. 359 V
C. 69 V
O D. 240 V
120V is the line-to-neutral voltage .
What is Line Voltage ?It is defined as the voltage of a power transmission circuit or distribution circuit up to the point of transformation or utilization.
The secondary line voltage is [tex]V_{L} = 280 V[/tex]
The notation AC indicates that the current is an alternating current.
The given formula is [tex]V_{ph} = \frac{V_{L} }{\sqrt{3} }[/tex]
Substitute 208 V into the formula
[tex]V_{ph} = \frac{V_{L} }{\sqrt{3} } \\\\V_{ph} = \frac{208V}{\sqrt{3} } \\\\= 120 (Approx)[/tex]
So, the line-to-neutral voltage is 120 V.
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Which dog has the most kinetic energy? A. A dog of mass 12 kg running with speed 6 m/s B. A dog of mass 10 kg running with speed 3 m/s C. A dog of mass 16 kg running with speed 5 m/s D. A dog of mass 14 kg running with speed 4 m/s
Answer:
A
Explanation:
KE = 1/2 m v^2
the greatest is A
8. Ella wants to replace old bulbs of her home with new LED bulbs. She buys LED bulb that has inbuilt AC to DC converter of output 5V and 2.5A. a. If the LED is 75% efficient, what would be the power dissipated? b. Find the work done by the LED when it is connected to the power supply and left for 1hour 15 minutes.
The power dissipated by the LED is 20 Watts and the work done for 1 hour 15 minutes is 56.25 kJ.
What is electrical power?Electrical power is the rate at which electrical work is done.
Electrical power = voltage × currentThe LED is 75% efficient means that 75% of power dissipated by the LED is converted to light.
Total power dissipated = 5 × 2.5 = 12.5 Watts
Work done = power × time (in seconds)Work done = 12.5 × (1 × 3600 + 15 × 60)
Work done = 56250 J = 56.25 kJ
Therefore, the power dissipated by the LED is 20 Watts and the work done for 1 hour 15 minutes is 56.25 kJ.
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You observe your friend standing in line at the cafeteria. You conclude they are buying lunch today. This is an example of: A. A scientific theory. B. An independent variable. C. An inference. D. A hypothesis
Answer:
5875yuguggjgefutfhyds
Explanation:
hfgjffiig
Kinetic energy is energy that is stored and not moving
O True
O False