The velocity of the 2x10^4 kg car just before the collision is 0 m/s.
What is conservation of momentum principle?When two bodies of different masses move together each other and have head on collision, they travel to same or different direction after collision.
The external force is not acting here, so the initial momentum is equal to the final momentum. For inelastic collision, final velocity is the common velocity for both the bodies.
m₁u₁ +m₂u₂ =(m₁ +m₂) v
Substitute the values for m₁ = 1.5 x 10^4 kg, m₂ =2 x 10^4 kg and u₁ =7 m/s, the final velocity is 3m/s/
1.5 x 10^4 x 7+2 x 10^4 x u₂ = (1.5 x 10^4 + 2 x 10^4) x 3
u₂ = 0 m/s
So, the car with mass 2x10^4 kg is stationary.
Thus, the velocity of the 2x10^4 kg car just before the collision is 0 m/s.
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if ~u = 2ˆı −ˆ and w~ =ˆı 2ˆ, find the component form of ~v = ~u w~ and sketch the specified vector operations geometrically.
The component form of the vector - u + w is determined as -2i + 3j.
Component vector V
The component vector V is calculated from the summation of vector U and vector W.
v = -u + w
Given;
u = 2i - jw = i + 2jv = -(2i - j) + i + 2j
v = -2i + j + 2j
v = -2i + 3j
A sketch of the vectory - axis
↑
↑
↑ 3j
↑
x - axis ← ← ← ← ←
2i
The complete question is below:
if u = 2i - j and w = i + 2j, find the component form of ~v = -u + w~ and sketch the specified vector operations geometrically.
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A compound microscope that has an eyepiece lens with a magnification of 10X and an objective lens with a magnification of 25X will have a total magnification of __________ times.
Answer:
35
Explanation:
total magnification = eyepiece lens x objective lens
TM = 10X x 25X
TM = 250X
In a game of pool, the cue ball moves at a speed of 2 m/s toward the eight ball. When the cue ball hits the eight ball, the cue ball bounces off with a speed of 0.8 m/s at an angle of 20°, as shown in the diagram below. Both balls have a mass of 0.6 kg.
PICTURE
a. What is the momentum of the system before the collision? (Write it in component form.) (0.5 points)
b. What is the momentum of the system after the collision? (0.5 points)
c. Write the velocity of the cue ball after the collision in component form. (1 point)
d. What is the x-component of the velocity of the eight ball after the collision? (1 point)
e. What is the y-component of the velocity of the eight ball after the collision? (1 point)
f. At what angle does the eight ball travel after the collision? (1 point)
g. What is the magnitude of the eight ball's velocity after the collision? (1 point)
a) p₀ = 1.2 kg m / s
b) p_f = 1.2 kg m / s
c) [tex]v_{2f}[/tex] = 1.278 m/s
d)1.2482 =[tex]v_{2f}[/tex] cos θ
e) 0.2736 =[tex]v_{2f}[/tex]sin θ
g) θ = 12.36
What is momentum?
Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.
According to the question,
We define a system formed by the two balls, which are isolated and the forces during the collision are internal.
Hence , the momentum is conserved
a) The momentum of the system before the collision:
[tex]p_o = m v_1_0 + 0 p_o= 0.6 2 p_o = 1.2 kg m / s[/tex]
b) The momentum of the system after the collision, as the system is isolated, the momentum is conserved so
[tex]p_f = 1.2 kg m / s[/tex]
d. On X axis
[tex]p_ox[/tex] = 1.2 kg m / s
[tex]p_{fx}[/tex]= m v1f cos 20 + m v2f cos θ
[tex]p_o = p_f[/tex]
1.2 = 0.6 (-0.8) cos 20+ 0.6[tex]v_{2f}[/tex] cos θ
1.2482 =[tex]v_{2f}[/tex] cos θ
e. On Y axis
[tex]p_{oy} = 0[/tex]
[tex]p_{fy}[/tex]= m[tex]v_{1f}[/tex]sin 20 + m[tex]v_{2f}[/tex]cos θ
0 = 0.6 (-0.8) sin 20 + 0.6 [tex]v_{2f}[/tex] sin θ
0.2736 =[tex]v_{2f}[/tex]sin θ
Here,
g. we write our system of equations
0.2736 =[tex]v_{2f}[/tex] sin θ
1.2482 = [tex]v_{2f}[/tex] cos θ
0.219 = tan θ (divide)
θ = tan⁻¹ 0.21919
θ = 12.36
c. Now To find the velocity
0.2736 = [tex]v_{2f}[/tex] sin θ
[tex]v_{2f}[/tex]= 0.2736 / sin 12.36
[tex]v_{2f}[/tex] = 1.278 m / s
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Question 4 of 25
Which two chemical equations are balanced?
A. Na+ MgCl₂ → NaCl + Mg
B. 2LIOH + H₂S → Li₂S + 2H₂O
C. AgNO3 + NaCl → NaNO3 + AgCl
-
D. 3PBr3 + 2Cl2 → 3PCl3 + 2Br2
Answer:
To check whether a chemical equation is balanced or not we usually look if elements on the product side are numerically equal to the reactant side or not.
A. Na + MgCl₂ → NaCl + Mg
Reactant Product
Na = 1 1
Mg = 1 1
Cl = 2 1
Unbalanced
B. 2LiOH + H₂S → Li₂S + 2H₂O
Reactant Product
Li = 2 2
S = 1 1
O = 2 2
H = 4 4
Balanced
C. AgNO₃ + NaCl → NaNO₃ + AgCl
Reactant Product
Ag = 1 1
N = 1 1
Na = 1 1
Cl = 1 1
O = 3 3
Balanced
D. 3PBr₃ + 2Cl₂ → 3PCl₃ + 2Br₂
Reactant Product
P = 3 3
Br = 9 4
Cl = 4 9
Unbalanced
Therefore, equations B and C are balanced chemical equations.
Cancer and diabetes are two common hereditary diseases.
It is a true statement that cancer and diabetes are two common hereditary diseases.
What are hereditary diseases?The term hereditary diseases are those diseases that occur in parents and could also be found in their offspring. For many of these hereditary diseases, the mechanism of inheritance is unclear.
However, it is a true statement that cancer and diabetes are two common hereditary diseases.
Missing parts:
Cancer and diabetes are two common hereditary diseases. A. True B. False.
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A car accelerates from 0-26.8m/s in 2.2s. What is its average acceleration?
Answer:
Average acceleration = 12m/s^2
Explanation:
Acceleration is equal to the change in velocity over the change in time:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
Change in velocity is the final velocity minus the initial.
We are told the car goes from 0 to 26.8 m/s making 26.8 our final and 1 our initial. Therefore the change in velocity is 26.8-0 = 26.8m/s. ([tex]\Delta v[/tex])
And that this happens over 2.2s so this is our change in time: [tex]\Delta t[/tex]
Therefore our acceleration is: [tex]a = \frac{26.8}{2.2}[/tex]
Acceleration = 12.18 m/s^2
Rounded to 2 significant figures (2s.g. in 2.2s), the answer is 12m/s^2.
Hope this helped!
I finished all my other questions but i don't know how to do this one. could someone help me? I added a lot of points because I know this is pretty complicated.
Explanation:
hope it will help you understand, if you have any questions just let me know.
which will have longer shadow: ben whose height is 5 feet tall and 2 inches or his brother mike who is 6 feet and 2 inches when they both stand under the sun around 10am? i need help asap and anyone get my answer now i will give branliest
Answer: I believe his brother, Mike, who is 6'2, will have the longer shadow.
as resistors are added in series
Answer:
decrease,inverse
Explanation:
........................
Name and Title:
Include your name, instructor's name, date, and name of lab.
Objectives(s):
In your own words, what is the purpose of this lab?
Hypothesis:
In this section, please include the predictions you developed during your lab activity. These statements reflect your predicted outcomes for the experiment.
Procedure:
The materials and procedures are listed in your virtual lab. You do not need to repeat them here. However, you should note if you experienced any errors or other factors that might affect your outcome. Using your summary questions at the end of your virtual lab activity, please clearly define the dependent and independent variables of the experiment.
Data:
Record the elements present in each unknown astronomical object. Be sure to indicate “yes” or “no” for each element.
Hydrogen Helium Lithium Sodium Carbon Nitrogen
Moon One
Moon Two
Planet One
Planet Two
Conclusion:
Your conclusion will include a summary of the lab results and an interpretation of the results. Please answer all questions in complete sentences using your own words.
Using two to three sentences, summarize what you investigated and observed in this lab.
Astronomers use a wide variety of technology to explore space and the electromagnetic spectrum; why do you believe it is essential to use many types of equipment when studying space?
If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
We know that the electromagnetic spectrum uses wavelengths and frequencies to determine a lot about outer space. How does it help us find out the make-up of stars?
Why might it be useful to determine the elements that a planet or moon is made up of?
The variable that is altered by the independent variable is called the dependent variable. the spectrum given out by the hypothetical unknown celestial object.
Name : Christopher Andre
Instructor name : Albert brown
Name of the lab : ELS Laboratory
The term electromagnetic spectrum refers to the range of electromagnetic radiation's frequencies, as well as the wavelengths and photon energies connected to each frequency.
By analyzing the absorption spectra of the planets and moons, the electromagnetic spectrum experiment seeks to identify the components that make up their atmospheres.
From below one hertz to over 1025 hertz, electromagnetic waves are included in the electromagnetic spectrum.
The wavelengths that correlate to the frequency range from tens of thousands of kilometers to a small portion of the size of an atomic nucleus.
Starting at the low frequency (long wavelength) end of the spectrum, each frequency band's electromagnetic waves are referred to by a variety of names.
Hence the dependent variable is the one that changes as a result of the independent variable.
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g A uniform meter stick has a 150 g rock suspended from the zero position and balances when a fulcrum is placed at the 25.0 cm position. What is the mass of the meter stick
The mass of the metre stick given the data from the question is 150 g
From the diagram (See attached photo)Clock wise moment = M × 25Anticlockwise moment = 150 × 25Mass of metre stick (M) =?How to determine the value of MClock wise moment = Anticlockwise moment
M × 25 = 150 × 25
M × 25 = 3750
Divide both sides by 25
M = 3750 / 25
M = 150 g
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A particle of mass moves under a force given bywhere and are unit vectors in the and directions. The particle is placed at the origin with an initial velocity After how much time will the particle first return to the origin
The elapsed time when the particle returns to the origin is determined from the ratio of initial velocity and acceleration of the particle.
Time of motion of the particleThe time of motion of the particle is calculated by applying Newton's second law of motion.
F = ma
F = m(v)/t
where;
t is time of motion of the particlem is mass of the particlev is velocity of the particlea = v - u/t
v = u + at
when the particle returns to the origin, direction of u, = negative.
final velocity = 0
0 = -u + at
at = u
t = u/a
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how does the law of the conservation of energy relate to the first law of thermodynamics?
The first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.
What is the first law of thermodynamics?The first law of thermodynamics is a popular law in physics that states change in internal energy is equal to the energy added and the work made by a closed system.
Moreover, the law of conservation of energy states that it cannot be created/destroyed in the Universe, which is deeply associated with principles of thermodynamics.
In conclusion, the first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.
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The law of the conservation of energy relates to the first law of thermodynamics by the fact that the former forms the basis for the latter.
What is the relationship between the law of conservation of energy and the 1st law of thermodynamics?It follows from the study of physics that the basis for the postulation of the First law of thermodynamics is on the basis of the law of conservation of energy, which states that energy can neither be created nor destroyed, but can be transferred between forms.
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Where does the halo of a galaxy expand from?
a. the local group out to the dark matter
b. the bulge out to the edge of the disk
c. the irregular cluster out to the regular cluster
d. the edge of the disk out to the bulge
The halo of galaxy expand from the bulge out to the edge of the disk. The correct option is b.
What is universe?Universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, the stars along with the ,dust , gases, rocks forms the universe.
It went on expanding and stretched to grow as large as possible. It is still now expanding.
The universe consist of fully dark matter, interstellar gases or dust. The This universe began with a big bang , also known as the massive explosion. This universe is still on it way of expanding more.
The formation of stellar halos occurs naturally in a cold dark matter. Universe has halos which occurs from the bottom-up or the large structure of galaxies is formed starting with small objects.
Thus, the correct option is b.
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im
Complete the sentence to describe what a wave is and what it does.
E§
A wave is a
that carries
from one place to another.
Hope this helps.
Good luck ✅.
When a substance changes from a liquid to a solid, what happens to the
motion of its particles?
OA. They move more slowly and become fixed in position.
O B. They move more quickly and begin to move past one another.
C. They move at the same speed and in the same direction.
D. They move at the same speed but in random directions?
When a substance changes from a liquid to a solid, they move more slowly and become fixed in position. Option A is correct.
When a substance changes from a liquid to a solid, its particles lose energy and move more slowly. As the temperature decreases, the particles lose kinetic energy and start to arrange themselves into a fixed, ordered pattern. This causes the substance to solidify and the particles become fixed in position.
The transition from a liquid to a solid state is called freezing or solidification. During this process, the particles lose energy and their motion becomes more restricted, causing them to move more slowly and eventually become fixed in position. Option A is correct.
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What is the force needed to accelerate a wagon with a mass of 10 kg at a rate
of 2.0 m/s²?
A. 8.0 N
B. 20 N
OC. 12 N
OD. 5.0 N
Answer:
B
Explanation:
Remember:
F = m * a
= 10 * 2 = 20 N
What is the resultant of the two vectors shown?
Explanation:
The correct is (c). cuz, the tail of A and the tip of B will join
Question 10 of 25
Which of these is an advantage of hydroelectric energy?
OA. Is expensive to build or maintain
OB. Harms aquatic organisms
OC. Is a renewable energy source
OD. Is available in limited areas
SU
The main advantage of hydroelectric energy is the fact that it is a renewable energy source (Option C).
What is hydroelectric energy?Hydroelectric energy refers to the energy from water bodies that can be used to generate electricity.
Hydroelectric energy is stored as potential energy and then converted to kinetic motion energy to be converted into electricity.
Hydroelectric energy is renewable because it is indefinitely generated by water bodies in nature.
In conclusion, the main advantage of hydroelectric energy is the fact that it is a renewable energy source (Option C).
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What is the magnetic field due to a very very long wire with current A at a perpendicular distance 0.30000000000000004 m away from the wire
The magnetic field due to a very long wire with current A is 6.67 x 10⁻⁷ A (Tesla).
What is magnetic field?
This is the region of space where the effect of magnetic force is felt.
The magnetic field due to a current carrying conductor is calculated as;
B = μI/2πd
where;
μ is permeability of free space = 4π x 10⁻⁷ Tm/AI is current in the conductord is the distance of field from the wireat a distance of 0.3 m
B = μI/2π(0.3)
B = 0.53μI
B = 0.53 x (4π x 10⁻⁷)I
B = 6.67 x 10⁻⁷ A (Tesla)
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To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader. A. True. B. False
To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader. The statement is True.
What is character?What a person thinks upon a situation and get through it makes the character of a person and defines his behavior.
Given is a statement "To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader".
The words used by the person forms the character. So, the author searches for the word which says about his character but the reader finds it ridiculous.
Thus, the statement is true.
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Question 8 of 10
Calculate the electric potential energy in a capacitor that stores 1.0 x 10-10 C
of charge at 100.0 V. Use PE =
2
The electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.
What is a capacitor?
A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.
An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.
The electric potential energy in a capacitor is found as;
[tex]\rm E = \frac{1}{2} QV[/tex]
[tex]\rm E = \frac{1}{2}\times 1.0 \times 10^{-10} \ C \times 100 \ V \\\\ E= 5 \times 10^{-9} \ J[/tex]
Hence the electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.
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Which lens combination is used to treat presbyopia ~
Answer:
People with presbyopia require a convex lens for reading glasses; specialized preparations of convex lenses usually require the services of an optometrist
Find the mass of a sample of water if its temperature dropped 24.8 °C when it lost 870 J of
heat. (Remember that specific heat capacity of water 4200 J/kg °C)
Answer:
8.35 ×[tex]10^{-3}[/tex] kg
Explanation:
Remember the formula for heat:
[tex]Q=mc\Delta T[/tex]
You just need to solve for m, doing so you're left with:
[tex]m=\dfrac{Q}{c\Delta T}[/tex]
Replace the variables with numbers and that's it.
The mass of a sample of water is 0.841 kg.
What is specific heat?Specific heat is the amount of heat energy required to raise the temperature of one unit of mass of a substance by one degree Celsius (or Kelvin). It is a characteristic property of a substance that reflects its ability to store and release thermal energy.
Different substances have different specific heat capacities, depending on their chemical composition and physical properties. For example, water has a high specific heat capacity of 4,200 joules per kilogram per degree Celsius (J/kg°C), which means that it takes a large amount of heat energy to raise the temperature of water by one degree Celsius. In contrast, metals such as copper and aluminum have much lower specific heat capacities, which means that they heat up and cool down more quickly than water when subjected to the same amount of heat energy.
The specific heat of a substance can be measured experimentally using calorimetry, which involves measuring the amount of heat energy absorbed or released by a substance as it undergoes a change in temperature. The specific heat of a substance is an important parameter in many fields of science and engineering, including thermodynamics, materials science, and environmental science.
Here in the Question,
We know the formula:
Q = mcΔT
where:
Q = amount of heat lost by the sample of water, which is -870 J (negative because heat is lost)
m = mass of the sample of water, which is what we need to find
c = specific heat capacity of water, which is 4200 J/kg °C
ΔT = change in temperature, which is -24.8 °C (negative because temperature dropped)
Substituting the values, we get:
-870 J = m(4200 J/kg °C)(-24.8 °C)
Simplifying, we get:
m = -870 J / (4200 J/kg °C × -24.8 °C)
m = 0.841 kg
Therefore, the mass of the sample of water is 0.841 kg.
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A mass of 2000 kg. is raised 2.0 m in 10 seconds. What is the kinetic energy of the mass at this height?
Answer:
200 j is kinetic energy of mass
a bicycle rider pedals towards a hill at a speed of 7.5w/s. the combined mass of the bicycle and the rider is 75.0kg the cycle and rider roll up a hill without peddling . at what height will the cycle cone to rest (use g=10N/1g)
Answer:
2.8125 meters
Explanation:
I will assume 7.5 m/s
When the Kinetic Energy is entirely converted to Potential energy the max height will have been reached
KE = PE
1/2 m v^2 = mgh divide by m
1/2 v^2 = gh looking for h so divide both sides by
1/2 v^2 / g = h sub in the values using g = 10 m/s^2
1/2 ( 7.5 )^2 / 10 = 2.8125 m
can you please help me with this
Answer:
1.76 seconds/cycle
Explanation:
Frequency is 10 cycles / 17.6 seconds
PERIOD is 1/frequency = 17.6 seconds/10 cycles = 1.76 s/c
cycle is a vibration , so the unit may be 1.76 second / vibration
An empty container has a mass of 62.000 grams. You fill it with 24.6 mL of a liquid. The final mass of the container is 81.34 grams. What is the density of the liquid to the correct number of significant figures?
density = mass / volume
mass = 81.34 - 62
= 19.34 g
volume = 24.6 ml
density = 0.786 g/ml
Derive that efficiency is the ratio of output and input work.
Answer:
The efficiency of a simple machine is defined as the ratio of useful work done by a machine (output work) to the total work put into the machine (input work). For ideal or perfect machine, work output is equal to the work input.
Explanation:
Hope it Helps!!!
A racing car has a mass of 1910 kg. The acceleration of gravity is 9. 8 m/s 2. What is its kinetic energy if it has a speed of 109 km/h? answer in units of j.