Two billiard balls move toward each other on a table. The mass of the number three ball, m1, is 5 g with a velocity of 3 m/s. The mass of the eight ball, m2, is 6 g with a velocity of 1 m/s. After the balls collide, they bounce off each other. The number three ball moves off with a velocity of 5 m/s. What is the final velocity and direction of the eight ball? 8. 6 m/s 5. 7 m/s â€"5. 7 m/s â€"8. 6 m/s.
This question involves the concepts of the law of conservation of momentum and velocity.
The velocity of the eight ball is "5.7 m/s".
According to the law of conservation of momentum:
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]
where,
m₁ = mass of number three ball = 5 g
m₂ = mass of the eight ball = 6 g
u₁ = velocity of the number three ball = 3 m/s
u₂ = velocity of the eight ball = - 1 m/s (negative sign due to opposite direction)
v₁ = final velocity of the three number ball = - 5 m/s
v₂ = final velocity of the eight ball = ?
Therefore,
(5 g)(3 m/s) + (6 g)(- 1 m/s) = (5 g)(- 5 m/s) + (6 g)(v₂)
[tex]v_2=\frac{34\ g.m/s}{6\ g}\\\\[/tex]
v₂ = 5.7 m/s
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haun wants to enter the science fair at his school. he has a list of ideas for his project. which questions could be answered through scientific investigations. check all that apply
Correct Answer:
- Does pressure have an effect on the volume of a gas?
- Which brand of soap is the best for cleaning grease off dishes?
Why is kinetic energy lost in an inelastic collision?
Answer:
This is because some kinetic energy had been transferred to something else.
Explanation:
An inelastic collision is a collision in which there is a loss of kinetic energy. While momentum of the system is conserved in an inelastic collision, kinetic energy is not.
A box slides across a rough surface, eventually coming to rest.
Part A
a. Use the work-energy principle (Khan Academy:Work and the work-Energy Principle and the definition of work to explain why the box comes to rest.
b. Explain how the motion of the box is consistent with the Law of Conservation of Energy.
Answer:
he was a random act like you to be the first time I see is a great day and night to get a very happy to see you soon I hope that the world is not the same thing to say about this
a) When a box slides across a rough surface, eventually coming to rest, its kinetic energy is used during work done against frictional resistance force.
b) This work done is stored in the box as a potential energy. Thus the motion of the box is consistent with the Law of Conservation of Energy.
What is work-Energy Principle?According to the work-energy theorem, the work done by the net force acting on a body equals the change in kinetic energy.
It can simply be written as:
Work done = initial kinetic energy - final kinetic energy
The work energy theorem equation is the one presented above.
Now when a box slides across a rough surface, eventually coming to rest, frictional force comes into play. This force is opposite to the direction of motion of the box. Hence, the kinetic energy of the box is used during work done against frictional resistance force and stored in the box as a potential energy and thus Law of Conservation of Energy followed.
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e. Observe: notice or perceive
f. Infer:
g. Repetition:
h. Replication:
i. Data
The synonym of a word( observe, infer, repetition, replication and data) means another word that is nearest in meaning to the given word.
The synonym of the words given from the question is given below:
Observe: This means to notice or perceive something. Therefore the synonym is notice or perceive.Infer: This means to conclude something based on evidence and not from explicit statements. Therefore the synonym is deduce or conclude.Repetition: This means doing or saying something again. Therefore the synonym is recurrence.Replication: This means the process of reproduction. Therefore the synonym is duplicate.Data: This means information that is used to make decisions. The synonym is facts.Therefore, synonym of a word means another word that is nearest in meaning to the given word.
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A car accelerates from 10m/s to 22m/s in 10 seconds. What is the car’s acceleration?
A skydiver falls from an airplane and achieves a speed of 98m/s after 10 seconds. the starting speed is 0m/s.
Explain please.
Answer:
See attachment and below
Explanation:
A car accelerates from 10m/s to 22m/s in 10 seconds.
a = (22m/s - 10m/s)/10sec
a = 12m/s/10s
a = 1.2 m/s^2
A skydiver falls from an airplane and achieves a speed of 98m/s after 10 seconds. the starting speed is 0m/s
a = 98m/s - 0m/s)/10sec
a = 9.8 m/s^2
9.8 meters/sec^2 is the acceleration due to gravity.
Mars is 7.83x10^10m [^10 is an exponent] from planet earth. The planet Earth is 5.98x10^24kg [^24 is an exponent] while Mars has a mass of 6.42x10^23kg [^23 is an exponent]. What is the gravitational attraction between the two planets? G=6.67×10^-11 (-11 is an exponent)
Answer: 2
Explanation: Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is
When a force is applied to an object, no work is being preformed on the object unless the object____.
Starting from rest an object accelerates on a straight line at rate of 2ms‐² for 10 seconds. what is the speed of the object at the end of the 10 seconds
Answer:
20 meters/sec
Explanation:
See attachment.
2m/s^2 = (v - 0)/10s
v = 20 m/s
Why does gravity on Earth have a stronger attraction with you than the sun has with you? Plsssssss help I really need this rn
Answer:
Although the Earth has a lesser mass than the Sun, it is far closer to you, allowing for a stronger pull.
Explanation:
Scientists suggest that the universe is still expanding. Which statement supports the claim made by the scientists?
The universe is 13.7 billion years old.
The galaxies in the universe are composed of dark matter.
The universe originated from a hot, dense point.
The galaxies in the universe are moving away from Earth at high speeds.
Answer:
The galaxies in the universe are moving away from Earth at high speeds.
Explanation:
Light years.
A student on a bicycle decided to determine his acceleration when coasting down a steep hill. The student started from a full stop and reached a velocity of 8.75 m/s in 3.8 s. What was his average acceleration? Assume that downhill is the positive direction.
Answer:
A=2.2
Explanation:
You have to lay everything out first.
You are given the:
Velocity and the time
V=8.75m/s
t=3.8s
Now you need to know what you are looking for, and that is the average acceleration.
Write down the formula (teachers like this)
A=v/t
Now calculate:
8.75/3.8= 2.3026315789473
You can now round down since the number next to the decimal is below 5
The number of significant digits will be 2 because that is the lowest number in the question. This means you will only need to display 2 numbers.
The final answer will be:
A=2.2
:)
*make sure to show your work step by step, some nice teachers give extra marks for that*
I hope this helped, goodluck! :D
A rocket burns fuel at a rate of 239 kg/s
and exhausts the gas at a relative speed of
6 km/s.
Find the thrust of the rocket.
Answer in units of MN.
The Thrust on the rocket is 1.434 MN.
To calculate the thrust of a rocket, we use the formula below
Thrust: This is the force that moves an aircraft through the air.
⇒Formula
T = M'×v.................... Equation 1⇒ Where:
T = Thrust of the rocketM' = Fuel ejection ratev = gas exhaust velocityFrom the question,
⇒ Given:
M' = 239 kg/sv = 60 km/s = 6000 m/s⇒ Substitute these values into equation 1
T = 239(6000)T = 1434000 NT = 1.434 MNHence, the Thrust on the rocket is 1.434 MN.
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I don't understand when to use the formule with the constant k, and when to use the formula without it.
In the exercise that i sent here, they use the formule with a constant but I don't get why.
Can someone help me out please?
Thanks.
Answer:
This appears to be the formula for the electrical force between 2 objects.
You need this constant to calculate the electrical force between 2 charged objects.
Note that k = (1 / 4 * π ∈0)
∈0 is called the permittivity constant and ∈0 = 8.85E-12 farad/m
k = ( 1 / (4 * 3.28 * 8.85E-12) = 8.99E9
This makes F reasonably easy to remember as
F = 9E9 Q1 * Q2 / R^2 Newtons for the electrical force between Q! and Q2 separated by R
Pravat exerts a force of 30 N to lift a bag of groceries 0. 5 m. How much work did Pravat do on the bag? Note : Work = Force x Distance 0 J 15 J 30 J 60 J.
Answer:
15 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 30 × 0.5 = 15
We have the final answer as
15 JHope this helps you
The amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.
WORK DONE:The work done by a body can be calculated by multiplying the force exerted by the distance moved. That is;
Work done = force (F) × distance (m)
According to this question, Pravat exerts a force of 30N to lift a bag of groceries 0.5 m. The work done is calculated as follows:
Work done = 30N × 0.5m
Work done = 15J
Therefore, the amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.
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how is one kg mass defined in SI system
Answer:
It is originally defined as the mass of one liter (10-3 cubic meter) of pure water.
Your mother asks you to carry a load of wood to the fireplace and lower it to the hearth. In doing this you have used your arms as levers. Which statement describes this as a class three lever?
Question 13 options:
The wood in your hands was the fulcrum, the load your elbow, and the effort (input force) was supplied by your arm muscles.
The wood was the load in your hands, the fulcrum was your elbow and the effort (input force was supplied by your arm muscles.
The fulcrum was the muscles in your arms, the load was the wood in your hands and the effort (input force) was the elbow.
Answer: The correct answer is the weight of the wood.
Explanation:
Hope this helps
A dog is pulling an empty sled attached by a harness that is parallel to the
ground in the snow. The sled is moving with constant velocity. The mass of
the sled is 1.2 kg, and the coefficient of static friction is 0.20. Determine the
harness tension.
Answer:
Explanation:
There are only two forces causing motion involved. They oppose each other. You know this because there is no acceleration of the sled: you see only a velocity.
The formula when friction is involved is
Fnet = T - mu*Normal
mu is the frictional coefficient
The normal is the downward force caused by the mass of the sled being pulled down by the gravitational constant.
The tension is brought about by the dog pulling in the opposite direction to the frictional force.
The frictional force, oddly, acts in a horizontal direction even though the normal is vertical. It does this because friction always opposes motion.
Since there is no acceleration, the net force = 0
N= m * a_g
m = 1.2 kg
a_g = 9.8
N = 1.2 * 9.8
N = 11.76
The frictional force = mu*Normal Force.
Ff = N * mu
N = 11.76
mu = 0.2
Ff = 0.2 * 11.76
Ff = 2.35
As stated The frictional force and the Tension are equal but in opposite directions
T = 2.35
What is the final velocity of an object that starts from rest and travels for 5 seconds at an acceleration of 4.3 m/s2? ____________________
The final velocity of an object that starts from rest and travels for 5 seconds at an acceleration of 4.3 m/s² is 21.5m/s.
EQUATION OF MOTION:
The final velocity of a moving object can be calculated by using one of the equations of motion as follows:
V = u + at
Where;
V = final velocity (m/s)u = initial velocity (m/s)a = acceleration (m/s²)t = time (s)According to this question,
t = 5sa = 4.3m/s²u = 0 m/s (at rest)v = ?v = 0 + 4.3(5)
v = 21.5m/s.
Therefore, the final velocity of an object that starts from rest and travels for 5 seconds at an acceleration of 4.3 m/s² is 21.5m/s.
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Can someone please help me with number 10
Answer:
A
Explanation:
increase
Answer:
B???
Explanation:
The rate of it going up is lower than L
It might be D too.
A 16.0 kg canoe moving to the left at 12.5 m/s makes an elastic head on collision with a 14.0 kg raft moving to the right at 16.0 m/s after the collision the raft moves to the left at 14.4 m/s assuming water simulates a frictionless surface, what is the final velocity of the canoe?
Answer:
The final velocity of the canoe is -14.1 m/s or 14.1 m/s to the right.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Why doesn't the skater ever regain his potential energy?
Answer:
Friction
Explanation:
As the skateboarder goes down the ramp, potential energy is converted to kinetic energy. Because of friction, some of the energy in the system is converted to heat energy. Once the kinetic energy is converted to heat, the energy cannot be converted back to the potential or kinetic energy in the system.
What is the weight of sugar if 5% of sugar from 6g of sugar
a water balloon is thrown a target at 18 m/s. if the water balloon has a mass of 0.4 kg, what is the momentum?
The momentum of the water balloon at the given speed is 7.2 kgm/s.
The given parameters:
Speed of the water balloon, v = 18 m/sMass of the balloon, m = 0.4 kgThe momentum of the water balloon is calculated as follows;
P = mv
Substitute the given values of mass and velocity as follows;
P = 0.4 x 18
P = 7.2 kg m/s.
Thus, the momentum of the water balloon at the given speed is 7.2 kgm/s.
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Which of the balls will exert the smallest force on object A?Why
A pitcher throws a softball toward home plate. When the ball hits the catcher’s mitt, its horizontal velocity is 32 meters/second. The softball’s velocity goes to 0 meters/second in 0. 8 seconds when caught. If the softball has a mass of 0. 2 kilograms, what’s the force of the impact? Use F = ma, where. The force of the impact is newtons.
The force of impact of the softball at the given conditions is 8 N.
The given parameters:
Horizontal velocity of the ball, v = 32 m/sChange in time of motion of the ball, Δt = 0.8 sMass of the ball, m = 0.2 kgThe force of impact of the softball is calculated by applying Newton's second law of motion as follows;
[tex]F = ma\\\\F = m \times \frac{\Delta v}{\Delta t} \\\\F = 0.2 \times \frac{32 - 0}{0.8 - 0} \\\\F = \frac{0.2 \times 32}{0.8} \\\\F = 8 \ N[/tex]
Thus, the force of impact of the softball at the given conditions is 8 N.
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how far will an object fall in 3 seconds
Answer:
144.7832 ft
Explanation:
heres the formula i found to solve
v = v₀ + gt
where:
v₀ is the initial velocity (measured in m/s or ft/s);
t stands for the fall time (measured in seconds); and
g is the free fall acceleration (expressed in m/s² or ft/s²).
Without the effect of air resistance, each object in free fall would keep accelerating by 9.80665 m/s (approximately equal to 32.17405 ft/s) every second. In reality, though, a falling object's velocity is constrained by a value called the terminal velocity.
im sorry i couldnt provide more information, but there was not much info provided in the question itself
Someone plz give me some boy advice I really need it.
can someone explain why is the answer 3.1?
i dont know Im sorry but why Im messaging is because when more people respond it usually is the first to pop up so someone else will see this and be able to help you Explanation:
Porque la densidad de un solido es alta?
[tex] \large \sf{hola \: amigo ♡ }[/tex]
Porque, las partículas en los sólidos están muy juntas. Están empaquetados herméticamente, dando a los sólidos altas densidades.
espero que ayude ♡♡