Write the velocity of the cue ball after the collision in component form. What is the x-component of the velocity of the eight ball after the collision?What us the y-component of the velocity of the eight ball after the collision. At what angle does the eight ball travel after the collision What is the magnitude of the eight ball’s velocity after the collision?
Answers
According to the image, the cue ball after the collision has a speed of 0.8 m/s with a direction of 20°. Let's use the rectangular components formulas to find each component.
\(\begin{gathered} x=v\cdot\cos \theta \\ y=v\cdot\sin \theta \end{gathered}\)Where v = 0.8 m/s and theta = 20°.
\(\begin{gathered} x=0.8\cdot\cos 20(m/s)\approx0.75(m/s) \\ y=0.8\cdot\sin 20(m/s)\approx0.27(m/s) \end{gathered}\)Now, we use the components to write the velocity of the cue ball, which is a vector
\(\vec{v}=(0.75i+0.27j)(m/s)\)On the other hand, we can observe that the eight ball is still before the collision. To find its speed after the collision, we use the law of conservation of momentum.
\(p_{i1}+p_{i2}=p_{f1}+p_{f2}\)Where p = mv. Let's use all the given magnitudes.
\(0.6\operatorname{kg}\cdot2m/s+0.6\operatorname{kg}\cdot0m/s=0.6\operatorname{kg}\cdot0.8m/s+0.6\operatorname{kg}\cdot v_{f2}\)Then, we solve for the speed 2 (eight ball speed):
\(\begin{gathered} v_{f2}=\frac{1.2kg\cdot m/s-0.48kg\cdot m/s}{0.6\operatorname{kg}} \\ v_{f2}=\frac{0.72\operatorname{kg}\cdot m/s}{0.6\operatorname{kg}} \\ v_{f2}=1.2m/s \end{gathered}\)The final speed of the eight ball is 1.2 m/s. But we have to find the angle of the eight ball after the collision in order to find its components. To find the angle, we just have to subtract 90°-20° = 70°.
Now, we can find the rectangular components.
\(\begin{gathered} x=v\cdot\cos \theta \\ y=v\cdot\sin \theta \end{gathered}\)Where v = 1.2 m/s and theta = 70°.
\(\begin{gathered} x=1.2\cdot\cos 70(m/s)\approx0.41m/s \\ y=1.2\cdot\sin 70(m/s)\approx1.13m/s \end{gathered}\)The x-component of the velocity of the eight ball is 0.41i (m/s) and the y-component of the velocity of the eight ball is 1.13j (m/s).
The eight ball travels at a 70° angle after the collision.
The magnitude of the eight ball's velocity after the collision is 1.2 m/s.
Related Questions
2. The following diagram shows a metal ball and ring apparatus. The ring and ball are both made of brass. At room temperature, the ball is just the right size to pass through the ring. When the ball is heated, it is unable to pass through the ring. Which of the following is NOT true? A The volume of the ball increased. B The mass of the ball increased. C. The speed at which the particles move increased. D The spaces between the particles increased. Not True
Answers
The statement that is NOT true is "the spaces between the particles increased.
option D.
What is effect of temperature on volume?If we consider the solids and liquids, when the temperature increases the molecules gain energy and start moving in all directions. This expands the substance and the volume of the substance increases.
Similar, when the ball is heated, the volume of the ball increases due to thermal expansion.
As the temperature increases, the average kinetic energy of the particles within the ball also increases, causing them to move faster.
However, the spaces between the particles do not necessarily increase. In fact, the expansion of the ball occurs due to the particles themselves moving farther apart, but the intermolecular spacing within the ball remains relatively constant.
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A wheel of mass 4kg is pulled up a plane inclined at 30° to the horizontal by a force of 45N applied to the axle and parallel to the plane. If the wheel has a radius of 0.5m and the moment of inertia 0.5kgm?, calculate the translational velocity acquired after travelling 12m up the plane, assuming the wheel is initially at rest (6 marks)
Answers
Answer:
v = 10 m/s
Explanation:
Let's assume the wheel does not slip as it accelerates.
Energy theory is more straightforward than kinematics in my opinion.
Work done on the wheel
W = Fd = 45(12) = 540 J
Some is converted to potential energy
PE = mgh = 4(9.8)12sin30 = 235.2 J
As there is no friction mentioned, the remainder is kinetic energy
KE = 540 - 235.2 = 304.8 J
KE = ½mv² + ½Iω²
ω = v/R
KE = ½mv² + ½I(v/R)² = ½(m + I/R²)v²
v = √(2KE / (m + I/R²))
v = √(2(304.8) / (4 + 0.5/0.5²)) = √101.6
v = 10.07968...
An open system starts with 52 J of mechanical energy. The energy changes
to 45 J of mechanical energy and 2 J of thermal energy. What is the final total
energy of the system?
OA. 9J
OB. 50 J
OC. 47 J
OD. 54 J
Answers
The final total energy of the system is 45J + 2J = 47J. So, the correct option is (c) 47J.
The total energy at the beginning equals the total energy at the conclusion, according to the rule of conservation of energy. The energy present in a system that determines its temperature is referred to as thermal energy.
Thermal energy flows as heat. Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location.
Therefore, the final total energy of the system is 45J + 2J = 47J.
So, the correct option is (c) 47J.
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The girl in the diagram is accelerating down the hill. What is the girl's acceleration?
m = 50kg
f net = 150 N right
(Hint: Use the formula a=\frac{F}{m}a= m F.)
A. a = 3 m/s2 A. is correct.
B. a = 5 m/s2
C. a = 150 m/s2
D. a = 6 m/s2
Answers
Answer:
150÷50=3 and the answer is letter AWhich of the following is a vector quantity
weight
temperature
acceleration
distance
Answers
Answer:
weight, acceleration
Explanation:
weight = mass x gravity(meaning the direction of the mass)
acceleration = v-u/t
v-u is the change in velocity
Canopus is the second brightest star in the night sky, with a luminosity more than 10000 times as compared to that of the Sun. It maintains a surface temperature of 7350 K. What is the maximum wavelength of the emission spectrum of Canopus?
Answers
Canopus is the second-brightest star in the night sky and the brightest star in the southern constellation of Carina. It is also known as Alpha Carinae, which means Carinae in Latin.
How far along is Canopus?Canopus has finished burning helium in its core and has already gone through the red giant branch (RGB). It is currently in the phase of its life cycle known as the blue loop, where it gets hotter before beginning to cool again. The star might not have enough mass to explode as a supernova.
What characteristics does the Canopus star have?Canopus has a mass of eight to nine times that of the Sun, an amazing circumference greater than 70 times that of the Sun, and a brightness.
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1 pts
Harry spent his summer playing guitar on the corner trying to earn some extra money. He would keep his guitar
case open for people to drop extra change into. Sometimes people would put money in the case and sometimes
people would be rude. Putting money in the hat is a to Harry's behavior.
Tir
Atte
1M
Negative reinforcement
Positive reinforcement
O Negative punishment
Positive punishment
Question 2
1 pts
O
SIC
acer
Answers
Answer:
Positive reinforcement
6. A dumb, bored child wants to see what will happen if they jump off the top of their shed with an umbrella. As you can guess, the umbrella collapses and the kid plummets 2.50 meters to the ground. How fast were they falling when they hit the ground? (The answer is not "zero") Knowns, Unknowns and Equation(s): Work: Result with units:
Answers
Answer:
All i kno is that that kid ain't gonna be ok
Explanation:
if u tell me how to do it ill do it
2. A) How much torque of is exerted on the pivot point P by a 51.2 N force F exerted a rod that is 33.3 cm in length.
B) How much torque of is exerted on the pivot point P if the 51.2 N force is applied at an angle of 56.3 degrees above the radial line?
Answers
The 51.2 N force F produces a 17 Nm torque on the pivot point P and the 51.2 N force F applied at an angle of 56.3 degrees above the radial line produces a torque of 14.07 Nm on the pivot point P.
What direction does the force related to the pivot's torque exert?According to the selected pivot point, torque can be applied either clockwise or counterclockwise, as shown for points B and A, respectively, If the object is capable of rotating around point A, it will turn counterclockwise, hence the torque for the force will be displayed as anticlockwise with respect to A.
The following formula must be used to determine the torque caused by the force F on the pivot point P:
Torque is calculated as force times the angle between the force and the pivot point.
The torque is simply: since the force F is perpendicular to the rod.
Force times rod length equals torque.
Torque equals 51.2 N x 0.333 m, or 17 Nm.
As a result, the 51.2 N force F applies a 17 Nm torque on the pivot point P.
B) We must figure out the perpendicular component of the force that affects the torque if the force F is applied at an angle of 56.3 degrees above the radial line.
Force x Sin = Perpendicular Force(angle)
Perpendicular force = force x sin(angle)
Perpendicular force = 51.2 N x sin(56.3°) = 42.2 N
The torque exerted on the pivot point P is then
Torque = perpendicular force x length of the rod
Torque = 42.2 N x 0.333 m = 14.07 Nm
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A boy slides a book across the floor, using a force of 5 N over a distance of 2
m. What is the kinetic energy of the book after he slides it? Assume there is
no friction.
A. 5 J
B. 10 J
C. 20 J
D. 2.5 J
SUBMIT
Answers
The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.
How to determine the kinetic energy of an object?The work-energy theorem states that "the work done on an object is the change in its kinetic energy".
Hence;
Kinetic energy = work done
Note that: work-done is expressed as:
Work done = f × d
Where f is force applied and d is distance traveled.
Given that:
Force applied f = 5 newton
Distance d = 2 meters
Work done = ?
Plug these values into the above formula and solve for the workdone.
Work done = f × d
Work done = 5N × 2m
Work done = 10Nm
Work done = 10 Joules
Therefore, the kinetic energy is 10 Joules.
Option B) 10 J is the correct answer.
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If a roller coaster cart, with a mass of 100 kg, traveled this coaster, how much kinetic energy would it have at point 'E'?
Answers
Answer:
Explanation:
Assuming no friction between the roller coaster car and the hill, and neglecting air resistance, the kinetic energy the roller coaster car would have at the bottom of the hill would be equal to its gravitational potential energy at the top of the hill, by conservation of energy.
One of the disadvantages of experimental research is that __________.
A.
it isn’t easily replicated
B.
it doesn’t often reflect reality
C.
the results aren’t generalizable
D.
conditions are not controllable
Please select the best answer from the choices provided
Answers
Answer:
B
Explanation:
How is the A He related to the A Hof a reaction?
Answers
Answer:
by giving a person to person
Sophia wanted to estimate the product 73 x 12 so she made an estimate of 70x 10. Would her estimate be greater or near the actual estimate?
Answers
Which describes a feature of the physical changes of all substances?
Answers
Answer:
A change in size, shape, or matter.
Explanation:
A physical change does not produce new substances. A physical change may only change the physical properties of a substance. a change in size, shape, or phase of matter.
Answer: It does not change the identity of a substance
Explanation:
In the figure, given ∆x=30cm, k=200N/cm, g=10m/s². Find the mass of the object
Answers
Answer:
600 Kg
Explanation:
From the question given above, the following data were obtained:
Extention (∆x) = 30 cm
Spring constant (K) = 200 N/cm Acceleration due to gravity (g) = 10 m/s²
Mass (m) of object =?
Next, we shall determine force exerted. This can be obtained as follow:
Extention (∆x) = 30 cm
Spring constant (K) = 200 N/cm
Force (F) =?
F = K∆x
F = 200 × 30
F = 6000 N
Finally, we shall determine the mass of the object. This can be obtained as follow:
Acceleration due to gravity (g) = 10 m/s²
Force (F) = 6000 N
Mass (m) of object =?
F = mg
6000 = m × 10
Divide both side by 10
m = 6000 / 10
m = 600 Kg
Thus, the mass of the object is 600 Kg
Explain what happens with the 0.25 days each year
Answers
Answer:
leap year
Explanation:
A 288-gram cart starts from rest and rolls down an inclined plane from a height of 1.226 m. Determine its speed (in m/s) at a height of 0.126 m above the bottom of the incline. Assume friction is negligible
Answers
The law of conservation energy
PE₁ + KE₁ = PE₂ + KE₂
From rest ⇒ v₁ = 0 ⇒ KE₁ = 0
Input the value:
PE₁ = PE₂ + KE₂
\(\tt mgh_1=mgh_2+\dfrac{1}{2}mv_2^2\rightarrow divide\:m\\\\gh_1=gh_2+\dfrac{1}{2}v_2^2\\\\9.8(1.226-0.126)=\dfrac{1}{2}v_2^2\\\\v_2=4.64\:m/s\)
this is a FRQ test for AP Physics I NEED IT DONE IN 2 HOURS: A dart with mass md
is launched toward a block of mass mb
that is suspended from a string of length L, as shown at left above. The dart is moving horizontally with speed v immediately before it strikes the block and remains embedded. The dart-block system then swings up to a point at which its center of mass reaches a maximum height H above its starting position, as shown at right above. The block’s mass mb
is greater than the dart’s mass md
.
(a) Indicate which object, the dart or the block, if either, experiences an impulse of larger magnitude during the collision. If the impulse is the same magnitude for both objects, state this explicitly. Briefly explain your reasoning.
Answers
The dart experiences an impulse of larger magnitude during the collision. This is because the dart has less mass than the block, so the same amount of momentum change will result in a larger impulse.
What is momentum ?Momentum is a physical concept that describes the tendency of an object to remain in motion with the same speed and direction unless it is acted on by an outside force. It is a measure of an object's inertia and is often expressed as the product of its mass and velocity. Momentum is a vector quantity, meaning that it has both magnitude and direction. Momentum is conserved in closed systems, meaning that the momentum before an interaction is equal to the momentum after the interaction. This is known as the law of conservation of momentum and can be used to solve many problems involving collisions and other interactions between objects.
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Curran is testing out a newly waxed hallway floor by sliding in his socks.
He runs from one end of the hallway and starts sliding midway going all
the way to the right. The forces acting on Curran as he is sliding are
represented in the diagram below. Identify the forces and match them
correctly to the numbers.
Answers
Answer:
Curran is testing out a newly waxed hallway floor by sliding in his socks.
He runs from one end of the hallway and starts sliding midway going all
the way to the right. The forces acting on Curran as he is sliding are
represented in the diagram below. Identify the forces and match them
correctly to the n
A vehicle, starting from rest, accelerates on a circular track with a 335m diameter.
Answers
The distance travelled by the vehicle around the circular track is 1,052.4 m.
What is the distance travelled by the vehicle in one complete cycle?
The distance travelled by the vehicle in one complete cycle is calculated by using the following equation as show below.
d = 2πr
d = πd
Where;
r is the radius of the circular trackd is the diameter of the circular trackIn one complete cycle, the vehicle will travel the circular track only once.
d = π(335 m)
d = 1,052.4 m
Thus, the distance travelled by the vehicle around the circular track is a function of the diameter of the circular track.
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The complete question is below:
A vehicle, starting from rest, accelerates on a circular track with a 335m diameter. What is the distance travelled by the vehicle when it makes one complete cycle?
A proton traveling due west in a region that contains only a magnetic field experiences a vertically upward force (away from the surface of the earth). What is the direction of the magnetic field?
Answers
South
Explanation:
The magnetic force F on a point charge moving with a velocity v in the presence of a magnetic field B is given by
\(\vec{\textbf{F}} = q\vec{\textbf{v}}\textbf{×}\vec{\textbf{B}}\)
and according to the right-hand rule, an upward magnetic force on a proton moving westward is only possible if the magnetic field is directed southward.
Balanced forces acting on an object keeps it at ____or moving at _____in straight line.
Fill in the ___ spaces
Answers
Answer:
Please see below as the answer is self explanatory.
Explanation:
According to Newton's 2nd law, a net force acting on an object of mass m, causes the object to be accelerated.If the forces acting on the object are balanced, which means that the net force on the object is zero, just applying the same law, we find that the object is not accelerated.According to Newton's First law, an object that is not accelerated is at rest, or moves along a straight line at constant speed.So, if there are balanced forces acting on the object, if the object is at rest, will keep at rest, and if it is moving, it will keep moving at constant speed along a straight line.Based on the diagram, which statement explains how energy is conserved
during this chemical reaction?
A
Reaction progress
Potential energy
of a system
B
OA. The potential energy lost by the reaction system (B) is gained by
the surroundings.
B. The potential energy lost by the reaction system (C) is also lost by
the surroundings.
← PREVIOUS
OC. The potential energy changes indicated by C and B involve energy
lost by the surroundings.
Answers
The potential energy changes indicated by C and B involve energy lost by the surroundings. Therefore, option B is correct.
Potential energy is the energy possessed by an object due to its position or condition. It is often associated with the potential for the object to do work or undergo a change. The concept of potential energy arises from the interactions between objects or within a system.
Potential energy is converted into other forms of energy, such as kinetic energy (energy of motion) when the object or system undergoes a change or is acted upon by external forces.
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Your question is incomplete, most probably the correct answer is this:
Based on the diagram, which statement explains how energy is conserved during this chemical reaction? (A) is also gained by the surroundings. B. The potential energy changes indicated by C and B involve energy lost by the surroundings. C. The potential energy lost by the reaction system (C) is also lost by the surroundings. D. The potential energy lost by the reaction system (B) is gained by the surrounding
Answer the following questions in paragraph form:A. In real life (as in, say, dropping an object from the CN Tower), what other factors would affect the acceleration of a falling object?B. Would it be possible to do the same analysis if the ball was thrown instead of simply released? Why or why not?
Answers
We will have the following:
A. Other factors that would affect the acceleration of a falling object would be the medium it is falling trough and external forces.
B. Yes, it all comes down to the way external forces act upon the object, since the laws of physics will remain the same, as far as current knowledge of the universe indicates. Also the medium will play a roll as well, this is mainly due to the nature of the fluid it is traveling trough, that is density and such.
PLE HELP
What is the best description of temperature?
Temperature is the same thing as heat.
Temperature measures the number of Kelvins in a substance.
Temperature is the measurement of kinetic energy (movement of molecules).
Temperature only measures an increase in heat energy.
Answers
A Measuring Cylinder liquid contains a volume of 120m³ the liquid was then poured into an empty beaker of mass 51g. The total mass was then found to be 145g .Calculate the mass of the liquid
Answers
The mass of liquid in the container is 94 grams and the density of the liquid is 0.78 grams/cm³ or 780 Kg/m³.
Given in the question
The volume of the liquid = Volume of the container
= 120 cm³
Total Mass = 145 grams
Mass of the empty Beaker = 51 grams
To find
Mass of the liquid
The density of the liquid
Now,
Total Mass = Mass of LIquid + Mass of the empty Beaker
Mass of LIquid = Total Mass - Mass of the empty Beaker
Put in the value, we get
Mass of liquid = 145 - 51 grams
Mass of liquid = 94 grams
Now, Density is the ratio of the mass of the substance and the volume, the substance occupies in the space. It is not a constant value and is variable with the variation in the temperature of the substance. Its S.I. unit is Kg/m³. B ut its other commonly used unit is gram/cm³.
The density of liquid = Mass of the liquid/ Volume of the liquid
Put in the value, we get
The density of the liquid = 94/120 grams/cm³
The density of the liquid = 0.78 grams/cm³ = 780 Kg/m³
Therefore, the mass of liquid in the container is 94 grams and the density of the liquid is 0.78 grams/cm³ or 780 Kg/m³.
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Your question was incomplete. Please find the full content below.
A Measuring Cylinder liquid contains a volume of 120cm³ the liquid was then poured into an empty beaker of mass 51g. The total mass was then found to be 145g . Calculate the mass of the liquid and the density of the liquid.
Which of the following is NOT true about the mass of an object?
A)
Mass is measured in kilograms.
B)
Mass is a measurement of force.
C)
Mass is a measurement of the amount of matter in an object.
D)
Mass does not change based on your location.
Answers
Answer:
B) Mass is a measurement of force
Explanation:
Mass is not a measurement of force, mass is a measurement of the amount of matter in an object.
100! BRAINLY!!!!!!!!
You’ve just watched The Adaptable Mind. One of the most important future skills is curiosity. The dictionary defines curiosity as
the desire to learn or know about anything; inquisitiveness.
What is a topic that makes you curious? What about it do you find intriguing? Do you think it will eventually be part of your job?
HERE THE VIDEO on YT
"The Adaptable Mind"
by Tiffany Shlain & Let It Ripple Studio
( I just need your answer since I don't want to give my own, decide anything you like its for school though )
Answers
Explanation:
here. is your answer
2x-3y+4=0
1xy+4=0
5xy=0
xy=0/5
xy=5*0
0.answer.
2.4x-6y+9=0
2xy+9=0
11xy=0
xy=0/11
xy=11*0
xy=0.answer.
What’s E=1/2m v^2
Find v
Answers
Answer peek a boo
Explanation:
Answer:
v is the velocity of a object