Two solid marbles A and B with a mass of 3.00 kg and 6.50 kg respectively have an elastic collision in one dimension. Before collision solid marble A (3.00 kg) was at rest and the other solid marble (6.50 kg) had a speed of 3.50 m/s. Calculate the magnitudes of velocities of two solid marbles vA and vB after collision.

Answers

Answer 1

Answer:

va = 4.79 m/s

vb = 1.29 m/s

Explanation:

Momentum is conserved:

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(3.00) (0) + (6.50) (3.50) = (3.00) v₁ + (6.50) v₂

22.75 = 3v₁ + 6.5v₂

For an elastic collision, kinetic energy is conserved.

½ m₁u₁² + ½ m₂u₂² = ½ m₁v₁² + ½ m₂v₂²

m₁u₁² + m₂u₂² = m₁v₁² + m₂v₂²

(3.00) (0)² + (6.50) (3.50)² = (3.00) v₁² + (6.50) v₂²

79.625 = 3v₁² + 6.5v₂²

Two equations, two variables.  Solve with substitution:

22.75 = 3v₁ + 6.5v₂

22.75 − 3v₁ = 6.5v₂

v₂ = (22.75 − 3v₁) / 6.5

79.625 = 3v₁² + 6.5v₂²

79.625 = 3v₁² + 6.5 ((22.75 − 3v₁) / 6.5)²

79.625 = 3v₁² + (22.75 − 3v₁)² / 6.5

517.5625 = 19.5v₁² + (22.75 − 3v₁)²

517.5625 = 19.5v₁² + 517.5625 − 136.5v₁ + 9v₁²

0 = 28.5v₁² − 136.5v₁

0 = v₁ (28.5v₁ − 136.5)

v₁ = 0 or 4.79

We know v₁ isn't 0, so v₁ = 4.79 m/s.

Solving for v₂:

v₂ = (22.75 − 3v₁) / 6.5

v₂ = 1.29 m/s


Related Questions

Research and discuss the aurora borealis in
terms of electric charges, magnetic fields,
and forces. Which times of the year are best
for seeing the northern lights, and where are
the best places to view them? Explain your
answers. Also identify links to good images. If
you've ever seen the aurora borealis,
describe your experience and note the time
and place that you saw it.

Answers

Answer: the best times to see it would be from 10 pm to 1 am, meaning when the night skies are dark and clear. The best months to see it would be from April to late August. Whereas the best places in the world to view them would be closer to the arctic circle, this includes Canada, Alaska, Iceland and Greenland.

Explanation:

Hope this helps

Auroras are created by disruptions in the magnetosphere induced by the solar wind. The greatest times to see it are between 10 p.m. and 1 a.m.

What is aurora borealis?

Auroras are created by disruptions in the magnetosphere induced by the solar wind. The paths of charged particles in the magnetospheric plasma are altered as a result of these disruptions.

These particles, primarily electrons, and protons fall to the upper atmosphere.

The greatest times to see it are between 10 p.m. and 1 a.m. when the night skies are dark and clear. It is recommended to visit between April and late August.

The greatest spots to see them are closer to the arctic circle, which encompasses Canada, Alaska, Iceland, and Greenland.

Hence the greatest times to see it are between 10 p.m. and 1 a.m.

To learn more about the aurora borealis refer to the link;

https://brainly.com/question/25766402

And observer reviews for identical objects that are traveling at speed close to the speed of light in their legs be used to rank the objects according to their speeds A. No the Lankes of the four objects should be the same regardless of the speed B. Yes the shortest object is traveling the fastest C. Yes the longest object is traveling the fastest D. No the length of each object demands on the frame of reference of the observer

Answers

Answer:

C :)

Explanation:

(06.01 LC)
A molecule contains 18 atoms and undergoes a physical change. How does the physical change affect the total number of atoms of
each element? (2 points)
Select one:
a. It remains the same.
b. It increases
O
c. It changes to zero.
d. It decreases

Answers

Answer:

It remains the same.

Explanation:

During physical change, the mass, number of atoms and number of molecules will remain the same.

Answer: A

Explanation:

After a chemical change, the total number of atoms of each elements stays the same.

According to the law of conservation of matter "During a chemical reaction, matter is neither created nor destroyed".

This law provides us with a good view into what happens to atoms after a chemical change.

Simply, since we know that atoms are not created nor destroyed, that means their number cannot increase nor decrease.

The simply remain the same.

This is why every chemical equation must be balanced.

What three colors can be combined to produce any color within the visible spectrum​

Answers

Answer:

red, green, and blue.

Explanation:

The primary colors of light that combine to produce any color within the visible spectrum are red, green, and blue.

The three colors that can be combined to produce any color within the visible spectrum are green, red & blue. Fun fact; these are also the only colors that are shown on your screen are these three. All the tiny pixels are composed of three small dots of compounds called phosphors surrounded by a black mask.

A -0.00125 C charge is placed 3.62 m from a +0.00333 C charge. What is the magnitude of the electric force between them?
Remember, magnitudes are positive.
[?] N

Answers

Answer: 2858.7726N

Explanation:

Given that :

Charge 1 (q1) = -0.00125 C

Charge 2 (q2) = +0.00333 C

Distance (r) = 3.62 m

According to columb's Law: The magnitude of the force between any two charged objects :

Fe = (Kq1q2) / r^2

Coloumb's constant(k) = 9×10^9 Nm^2/C^2

Fe = (9×10^9 * 0.00125 * 0.00333) / 3.62^2

Fe = (0.0000374625 * 10^9) / 13.1044

Fe = 37462.5 / 13.1044

Fe = 2858.7726N

Answer:

2858.7726 N

Explanation:

acellus

a ball is projected with a certain angle with initial velocity u. it covers horizontal range R. With what initial velocity it must be projected keeping the angle of projection same so its horizontal range becomes 2.25R

Answers

Answer:

1.5 u

Explanation:

The range equation is:

R = u² sin(2θ) / g

When u = v, R = 2.25 R.

2.25 R = v² sin(2θ) / g

2.25 u² sin(2θ) / g = v² sin(2θ) / g

2.25 u² = v²

1.5 u = v

By which mechanism does older oceanic rock move at a ridge?

Answers

Answer:

The ridge subducts and moves the rock

Explanation:

You got the right answer

The answer is c I think

"How does mass affect thermal energy transfer?

Answers

Answer:

The greater the mass of a substance the more thermal energy. The thermal energy of a substance depends on the temperature and mass of that substance.

Explanation:

Answer:

Explanation:

If two objects have the same mass, the object with the higher temperature has greater thermal energy. Temperature affects thermal energy, but temperature isn't the same thing as thermal energy. That's because an object's mass also affects its thermal energy.

Which of the following pure elements exist as liquids at normal Earth temperatures?

Answers

Answer:

The only liquid elements at standard temperature and pressure are bromine (Br) and mercury (Hg).

bromine and mercury are the elements that exist as liquids at normal earth temperatures

A boy on a chairlift moving parallel to the mountain slope at a speed of +15 m/s watches a skier going straight down the mountain with a speed of -35 m/s. What is the velocity of the skier relative to the chairlift? A. -50 m/s B. -35 m/s C. -20 m/s D. +15 m/s E. +50 m/s

Answers

Answer:

A. -50 m/s

Explanation:

Given

Velocity of Chairlift = +15m/s

Velocity of Skier = -35m/s

Required

Determine the velocity of the skier relative to the chairlift

Basically, relative velocity is the difference between the two velocities;

Having said that;

Relative velocity of the skier relative to the chairlift = Velocity of the Skier - Velocity of the Chairlift

Relative velocity of the skier relative to the chairlift = -35m/s - (+15m/s)

Open bracket

Relative velocity of the skier relative to the chairlift = -35m/s - 15m/s

Relative velocity of the skier relative to the chairlift = -50

Plz Help me with this

Answers

Answer:

Cools ; size

Explanation:

The rate at which magma cools determines the size of the crystals in the new rock. Igneous rocks are formed from the cooling and solidification of molten magma which finds its way to the surface or depth of very low pressure beneath the surface. This place or depth of cooling of magma affects the cooling rate and hence the size of the crystals formed. Igneous rocks formed at depths below the surface have more time to cool and allows more time for Crystal growth and hence produce coarse grained crystal grains called Intrusive igneous rocks which have significantly larger crystals than those formed on the surface which cools rapidly and allowing very little time for crystal growth giving rise to the formation of fine grained crystals and are called extrusive igneous rocks.

Which types of waves requires matter to carry energy? electromagnetic waves only mechanical waves only electromagnetic and mechanical waves longitudinal and electromagnetic waves

Answers

Answer: Mechanical waves

Explanation:

Mechanical waves require a medium in order to transport their energy from one location to another. A sound wave is an example of a mechanical wave. Sound waves are incapable of traveling through a vacuum.

Answer:

Mechanical waves

Explanation:

edge 22'

A magnifying glass uses a convex lens of focal length 5.25 cm. When it is held 5.00 cm in front of an object, what magnification does it create? pls help

Answers

It creates a abecedarian

Answer:

21

Explanation:

Which choice most accurately defines resistance and voltage of a circuit?

Resistance can be defined as the potential difference between two points in a circuit, while voltage is the amount of electrons moving through a point in a circuit every second.

Voltage can be defined as the potential difference between two points in a circuit, while resistance is the amount of electrons moving through a point in a circuit every second.

Voltage can be defined as the potential difference between two points in a circuit, while resistance opposes the flow of electrons in a circuit.

Resistance can be defined as the potential difference between two points in a circuit, while voltage opposes the flow of electrons in a circuit.

Answers

Answer:

Resistance can be defined as the potential difference between two points in a circuit, while voltage is the amount of electrons moving through a point in a circuit every second.

Explanation:

How many hydrogen atoms are there in the following compound: 4CHA (2 points)
Select one:
a 4
b. 8
c. 12
d. 16

Answers

Answer:

4

Explanation:

The number 4 that is infront of the CHA(4CHA) means to say that there are 4C 4H and 4A

Tip:the number infront of a equation is call the coefficient

If 400 joules of heat are added to a gas in an isochoric process, what is the
change in its internal energy?
O A. 400 J
O B.-400 J
O C. 100 J
OD. 200​

Answers

Answer:

A. 400 J

Explanation:

Because the process is isochoric, no volume change, so no work, so none of the energy is lost or converted. In other words, the system will gain and hold onto all of the J of heat put into it, which was 400J

i’m pretty sure it’s A. 400 J

Which of the following scientists introduced the concept of absolute zero?
A.lord kelvin
B.edwin Hubble
C.jonhannes kelper
D. Albert Einstein

Answers

Answer:

A. lord kelvin

Explanation:

In 1848, Kelvin used this as a basis for an absolute temperature scale. He defined "absolute" as the temperature at which molecules would stop moving, or "infinite cold." From absolute zero, he used the same unit as Celsius to determine the increments.

Absolute zero cannot technically be achieved. However, scientists have been able to lower the temperature of matter to just a fraction of a Kelvin above absolute zero through techniques such slowing down particles using lasers.

the answer is lord kelvin

help me pls help me pls

Answers

Answer:

a ) 19,536.72 J,

b ) ( About ) 84°C

Explanation:

a ) We can solve this problem assuming that the dishwater remains a constant 78°C the entire duration.

Q = mass of the glass [tex]*[/tex] specific heat of the glass

The mass of the glass is given by 401 g, the specific heat by 840 J / kg [tex]*[/tex] C. Respectively the change in temperature would be the difference between the temperature of the dishwater, and that of the glass. As we want the units in Joules, we need to first convert the 401 g ⇒ kilograms.

401 g = 401 / 1000 kg = 0.401 kg,

Q = 0.401 kg [tex]*[/tex] 840 J / kg 19,536.72 J

b ) We know that the specific heat capacity of water is 4.184 J / g [tex]*[/tex] C. As the final temperature will be common between each substance, we can make their respective heat absorbed, the same. Note that the heat capacity is given in J / g

0.023 kg = 0.023 [tex]*[/tex] 1000 = 23 g,

0.18 kg = 180 g

[tex]- ( 180 )( 4.184 )( x - 93 ) = 23( 4.184 )( x - 14 )[/tex],

[tex]-753.12x+70040.16=96.232x-1347.248[/tex],

[tex]-753.12x=96.232x-71387.408[/tex],

[tex]-849.352x=-71387.408[/tex],

[tex]\frac{-849.352x}{-849.352}=\frac{-71387.408}{-849.352}[/tex],

[tex]x=84.04926\dots[/tex]

The final temperature will be about 84°C

what are the physical changes on water

Answers

1. Ice melting involves a change from a solid to a liquid and the substances maintain the properties of water because the molecules never change. 2. Water boiling is a physical change as water molecules vibrate faster, they enter the gas phase and become water vapor.
The physical changes is the water freezing and the water evaporating.

PLS ANSWER REALLY EASY! WILL MARK BRAINLIEST.


State 4 differences (at least 3) between period and groups in the periodic table

Answers

Explanation:

They are;

The vertical columns of periodic table is called group and the horizontal rows of periodic table is called periods.The valance electron of all elements in the same group are the same but in periods the valance electron of elements in the same period increases from left to righr.The size of atoms increases top to bottom. but in case of periods the size of atoms decreases from left to right.Metalic reactivity increases and non metalic reactivity decreases from top to bottom. but in periods metalic reactivity decreases and non metalic reactivity increases from left to right.

hope it helps...

0
Which of the following can you conclude about a particle labeled
Check all that apply.
O A. It has one electron.
OB. It has one neutron.
I C. It has one nucleon.
O D. It has one proton.
E. It is negatively charged.
OF. It is an alpha particle.
O G. It is a beta particle.

Answers

Answer:

B and C

Explanation:

The given symbol  [tex]_{-1}^{0}e[/tex] denotes an electron. An electrons has neglecting mass and has one unit of negative charge. Thus, option A is correct.

What is an electrons?

An electron is a subatomic particle. the other subatomic particles that constitutes an atom are neutrons and  protons. neutrons and protons are located inside the nucleus and electrons are revolving around the nucleus through circular paths of fixed energies.

Electrons are having negative charge and protons are positively charged particles. For an atom the number of protons and electrons are the same. Therefore, an element in its atomic state is neutral.

Neutrons are neutral. However both neutrons and protons are having significant mass compared to an electrons. Hence, the representation of electrons include zero mass and -1 charge. Hence, option A is correct.

To find more on electrons, refer here:

https://brainly.com/question/1255220

#SPJ5

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