The final velocity of the first ball is 3 m/s and the final velocity of the second ball is 2 m/s in opposite direction.
The given parameters;
mass of the billiard balls = minitial speed of the first ball, u₁ = 2 m/sinitial speed of the ball u₂ = 3 m/sApply the principle of conservation linear momentum;
[tex]m_1u_1 \ + \ m_2u_2 = m_1v_1 + m_2v_2\\\\2m - 3m = mv_1 + mv_2\\\\-m = m(v_1 + v_2)\\\\-1 = v_1 + v_2[/tex]
Apply one-dimensional velocity;
[tex]u_1 +v_1 = u_2 + v_2\\\\2 + v_1 = -3 + v_2\\\\5 + v_1 = v_2[/tex]
From the first equation, the values of the final velocity is calculated as follows;
[tex]-1 = v_1 + 5 + v_1\\\\-1 = 2v_1 + 5\\\\-6 = 2v_1\\\\v_1 = -3 \ m/s[/tex]
then, v₂ = 5 - 3 = 2 m/s
Thus, the final velocity of the first ball is 3 m/s and the final velocity of the second ball is 2 m/s in opposite direction.
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which country is bordered by both ecuador and venezuela
A. colombia
B. guyana
C. french giana
D. suriname
The answer is A.
Columbia is country situated in the northwest of South America. Colombia shares a border to the northwest with Panama, to the east with Venezuela and Brazil and to the south with Ecuador and Peru. Colombian territory also encompasses Pacific coastlines in the west.
the corect answer is a
You drop a 30 g pebble down a well. You hear a splash 2.7 s later. Ignoring air resistance, how deep is the well? Assume g = 9.8 m/s2.
a- 0.79 m
b- 36 m
c- 71 m
d- 790 m
What is the current maximum storage capacity limit of a magnetic tape?
a. 300tb
b. 500gb
c. 185tb
d. 15tb?
An electron moving through an electric field experiences an acceleration of 6.2 ✕ 103 m/s2. (a) find the electric force acting on the electron.
the mass of an electron is ______
A 63 kg gymnast climbs 15 m up a vertically hanging rope. He completed the distance in 70 seconds. How much power did his body output to achieve the climb?
Answer:b
Explanation:
hope it helps
A car decelerates at a rate of 3.8 m/s2 for 12 seconds. The car’s initial speed was 65 m/s. What was the car’s final speed?
A 5 cm object is 18.0 cm from a convex lens, which has a focal length of 10.0 cm.
What is the distance of the image from the lens? Round your answer to three significant figures. ____ cm
What is the height of the image? Round your answer to three significant figures? ____ cm
Answer:
Image distance, v = 22.5 cm
Height of the image, h' = 6.5 cm
Explanation:
It is given that,
Height of the object, h = 5 cm
Object distance, u = -18 cm
Focal length of the lens, f = +10 cm
Using mirror's formula :
[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}[/tex]
[tex]\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}[/tex]
[tex]\dfrac{1}{v}=\dfrac{1}{10}+\dfrac{1}{(-18)}[/tex]
v = 22.5 cm
Magnification of the lens :
[tex]m=\dfrac{v}{u}=\dfrac{h'}{h}[/tex]
[tex]h'=\dfrac{v}{u}h[/tex]
[tex]h'=\dfrac{22.5\ cm}{-18\ cm}\times 5[/tex]
h' = -6.5 cm
Hence, this is the required solution.
Answer:
22.5 and 6.25
Explanation:
Everyday lifestyle choices affect your physical fitness. Please select the best answer from the choices provided. T F
Answer:
Itzz True me childern
Explanation:
_____ means to put off exercise.
procrastinate
vigorous activity
physical fitness
skill-related fitness
Answer: Option (a) is the correct answer.
Explanation:
Meaning of procrastinate is to delay or avoid anything in order to not complete a task.
For example, a student procrastinate's him homework by playing with his friends and cousins.
Whereas vigorous activity means to do an activity enthusiastically. Physical fitness means to a person who is physically fit.
On the other hand, skill related fitness means to be able to complete a work with perfection. For example, a woman skilled in embroidery makes beautiful designs on cloths using embroidery threads and needle.
Thus, we can conclude that procrastinate means to put off exercise.
The Sun has a major impact on climate. This can be seen by comparing _____. the East and West coasts tropical and polar climate zones atmospheric and oceanic circulation the North and South poles
Answer: Option (2)
Explanation: Sun plays a vital role in controlling the earth's climatic condition. Our earth is slightly tilted and the incoming solar radiations are directly incident on the equatorial and the tropical region, due to which it experiences a relatively high temperature.
But as we move towards the higher latitude, we observe that the temperature frequently drops down. It is because the radiations from the sun needs to travel a longer path through the atmosphere, which gets scattered or absorbed, thereby making it difficult to reach the poles. So the polar regions are cold enough due to less sunlight.
Therefore, the earth shows maximum temperature at the equatorial region and minimum temperature at the poles.
Consider a situation where you are playing air hockey with a friend. The table shoots small streams of air upward to keep the puck afloat and to reduce friction. The puck moves horizontally due to
The puck moves horizontally in air hockey due to Newton's first law of motion, which states that an object in motion stays in motion unless acted upon by an external force. The streams of air shooting upward on the table minimize friction and keep the puck afloat.
Explanation:The puck moves horizontally in the game of air hockey due to Newton's first law of motion, also known as the law of inertia. According to this law, an object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction, unless acted upon by an external force.
When the air is on in the air hockey table, it reduces the friction between the puck and the table, allowing the puck to glide smoothly across the surface. The small streams of air shooting upward help keep the puck afloat and minimize contact with the table.
The downward weight or gravitational force acting on the puck does not affect its horizontal motion because it is balanced by the normal force exerted by the table.
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What is the function of the lens of an eye
Answer:
The lens is located in the eye. By changing its shape/curvature, the lens changes the focal distance of the eye. In other words, it focuses the light rays by changing its curvature and let light pass through it in order to create clear images of objects . It also works together with the cornea to refract, or bend, light.
A positively charged ion will bond with
A) a negatively charged ion.
Eliminate
B) a neutral atom.
C) another positively charged ion.
D) nothing else.
Answer: A
A positively charged ion will bond with negatively charged ion. This interaction is called ionic bonds, where ions can form a compound. However, not all compounds are ionic, but each elements on the periodic table is capable of forming an ion. Atoms form ions when they either take up or release electrons in order to fill their outer shell. Positive ions are called cations that are typically metals like copper or sodium. Meanwhile, negatively charged ions are anions, made from nonmetallic elements like oxygen and sulfur.
The answer is A
Hope that helps. =)
A/an______is a pure substance made of atoms that are all of the same type
1 proton
2 compound
3isotope
4element
A box of mass 50 kg is pushed hard enough to set it in motion across a flat surface. Then a 99-N pushing force is needed to keep the box moving at a constant velocity. What is the coefficient of kinetic friction between the box and the floor? 0.23 0.18 0.20
when preparing an emergency supply kit for a family, which is the minimun number of days the supplies shoulds last
2
3
7
30
Answer
3 is correct!! THREE days
Explanation:
Trust me!!
All waves on the electromagnetic spectrum travel at the same speed in a vacuum. The speed of these waves in a vacuum is 3x10 8 m/s. As the wavelength of a wave doubles, how does the speed and frequency of the wave change?
Final answer:
When the wavelength of a wave doubles, its speed remains the same, while its frequency halves.
Explanation:
According to the information provided, all waves on the electromagnetic spectrum travel at the same speed in a vacuum, which is the speed of light, approximately 3 × 108 m/s. When the wavelength of a wave doubles, its frequency halves while its speed remains the same. This is because the product of the wavelength and frequency of a wave is equal to the speed of the wave, which is a constant in a given medium.
For example, if we have an electromagnetic wave with a wavelength of 2 meters and a frequency of 150 MHz (1 MHz = 106 Hz), its speed would be (2 m)(150 × 106 Hz) = 3 × 108 m/s. If the wavelength doubles to 4 meters, the frequency would halve to 75 MHz, but the speed would remain 3 × 108 m/s.
In summary, as the wavelength of a wave doubles, its speed remains the same, while its frequency halves.
April stands on a flat surface. If she has a mass of 72 kg, what is the normal force acting on her?
Answer: 706
Explanation:
Why does the sample on a microscope slide need to be very thin?
A. so it can fit on the stage of the microscope
B. so light can shine through it from below
C. so it can be seen with a diverging lens
D. so the eyepiece lens can be focused properly
B. so light can shine through it from below.
The sample on a microscope slide need to be very thin because light can shine through it from below.
What are the term thin of microscope?Histology has to do with the study of tissues. Sectioning has to do with cutting very thin slices of objects.
Thus, histological sectioning is an act of cutting very thin slices of tissues for the purpose of mounting such on microscope slides. To enhance views and differentiate different parts of cells, sections of tissues are often stained.
For anything to be seen it must either emit light or reflect light. When you look at the functioning of a microscope you will notice that when you put specimen under the microscope, you need an external light source to illuminate the specimen. For this purpose a light source is placed right under the specimen holder.
For the specimen to be visible clearly the slide is made transparent so that it is backlight by the light and easily visible in the microscope.
Hence, Option B is the correct answer.
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Which component of earth's motion causes the stars to rise earlier on successive nights?
When a battery is connected to a lightbulb properly, current flows through the lightbulb and makes it glow.
How much current flows through the battery compared with the lightbulb?
More.
Less.
The same amount.
No current flows through the battery.
Which lists imaging techniques that use wave behaviors in order of resolution from the best resolution to the worst?
A. CT scan, MRI, X-ray imaging
B. X-ray imaging, CT scan, MRI
C.CT scan, X-ray imaging, MRI
D. MRI, X-ray imaging, CT scan
Answer:
CT scan, X-ray imaging, MRI
Imaging techniques that use wave behaviors in order of resolution from the best resolution to the worst is X-ray imaging, CT scan, MRI. Hence option B is correct.
What is Resolution ?Image resolution. Image resolution refers to the density of pixels in an image, expressed as Pixels per inch. This shouldn't be confused with image dimension, which is expressed as a measurement of the number of rows and columns of pixels an image contains, such as 640x480.
Screen resolution. Display resolution or screen resolution expresses how many pixels are present in a display or entire screen. A given display will have a maximum resolution that depends on its physical ability to focus light. For example, a 15-inch 640x480 monitor will display approximately 50 dots per inch. A smaller display would have more PPI.
The highest resolution of X-ray is 11–13 nm. In the longitudinal dimension resolution of CT scan is up to 200 μm is achievable. The highest resolution of MRI is 1 millimeter. Hence option with X-ray, CT scan and MRI in order is correct from best to worst resolution.
Hence option B is correct.
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an airplane starts at rest and accelerates down the run way for 20 s. at the end of the run way, its velocity 80 m/s north whats it acceleration??
How could people have believed a century ago that nature is so vast and fertile that human actions could never have a lasting impact on wildlife populations? Are there similar examples of denial or misjudgment occurring now?
If v = 4.00 meters/second and makes an angle of 60° with the positive direction of the y–axis, what is the magnitude of vx?
Calculate 8 ∙ 10-4 divided by 2 ∙ 102.
Explanation :
Here, [tex]8\times 10^{-4}[/tex] is numerator and [tex]2\times 10^{2}[/tex] is the denominator.
Two numbers are given i.e.
[tex]n_1=8\times 10^{-4}[/tex]
[tex]n_2=2\times 10^{2}[/tex]
We have to divide these two numbers.
[tex]\dfrac{n_1}{n_2}=\dfrac{8\times 10^{-4}}{2\times 10^{2}}[/tex]
[tex]4\times 10^{-6}[/tex]
Hence, this is the required solution.
Mass affects/does not affect the conservation of energy?
What is your understanding of repetition and replication in science?
Which of the following would double the amount of current flowing through a piece of metal wire?