The muzzle speed of the bullet before the collision is 415.3 m/s.
The given parameters:
Mass of the bullet, m₁ = 24 gMass of the wood, m₂ = 1.5 kgCoefficient of kinetic friction, μk = 0.23Distance traveled by the block before stopping, d = 9.5 mApply the principle of work-energy theorem to determine the final velocity of the block-bullet system;
[tex]F_f \times d = \frac{1}{2} mv^2\\\\\mu_k F_n \times d = \frac{1}{2} mv^2\\\\\mu_ k (m_1 + m_2)g \times d = \frac{1}{2} (m_1 + m_2)v^2\\\\\mu_k g \times d= \frac{1}{2} v^2\\\\2\mu _k gd = v^2\\\\v= \sqrt{2\mu _k gd } \\\\v = \sqrt{2 \times 0.23 \times 9.8 \times 9.5} \\\\v = 6.54 \ m/s[/tex]
Apply the principle of conservation of linear momentum to determine the muzzle speed of the bullet;
[tex]m_1 u_1 \ + \ m_2u_2 = v(m_1 + m_2)\\\\0.024(u_1) \ + \ 1.5(0) = 6.54(0.024 + 1.5)\\\\0.024u_1 = 9.967\\\\u_1 = \frac{9.967}{0.024} \\\\u_1 = 415.3 \ m/s[/tex]
Thus, the muzzle speed of the bullet before the collision is 415.3 m/s.
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Need quite a bit of help
When the cart was at Table
Normal reaction (N)=mgNow acceleration due to gravity acting on the gravity.
When the air comes out of straw it tries to take the cart upwards.But the force is equal to that of acceleration due to gravity but in opposite direction.Hence.
[tex]\\ \sf\Rrightarrow F_{net}=0N[/tex]
So the cart doesn't moveEnergy can be changed from one form to another. Which terms can be used to describe these changes? Check all
that apply.
energy conversion
energy conservation
energy correlation
energy transformation
energy transference
Answer:
energy transformation
Answer: Energy Transformation & Energy Conversion.
I need help with this answer I believe it's a democracy
Answer:
a. democracy
Explanation:
beacouse the government control of their members
What are the advantages of vacuum diode ?
Answer:
An electron tube from which all air has been removed. The vacuum ensures transparency inside the tube for electric fields and moving electrons. Most electron tubes are vacuum tubes; cathode-ray tubes, which include television picture tubes and other video display tubes, are the most widely used vacuum tubes
Explanation:
hope it help
Pleas help with question 25
Answer:
the answer is a....,.......
how long is the photons journey from the milky way to earth
How should an artistic statement be written?
ОА.
from your own perspective
OB.
in a non-factual, persuasive manner
O C.
as a lengthy and overly extensive essay
OD. by the artist alone with no outside critique
An artistic statement should be written from your own perspective.
What is an artistic statement ?An artist's statement, also known as an artist statement, is a written summary of their creative output. The brief essay serves as an explanation of and a defense of their own work for the spectator. As a result, it is didactic, descriptive, or reflective in nature and seeks to inform, connect with an artistic environment, and reveal the inspiration behind the work.
The writing created by the artist aims to contextualize, justify, extend, and/or explain their body of work. It situates—or tries to situate—the piece in relation to art history, art theory, the contemporary art scene, and the times. The statement also demonstrates that the artist is aware of their aims, their practice, its place within the parameters of art, and the debate that surrounds it.
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A teacher took two latex balloons and blew them up with helium gas to the same size. She took one and labeled it Balloon A and placed it in a -15o C freezer. The second one she labeled BALLOON B, and she took it outside and tied it to the railing in the sun on a 30o C day. After a half hour, she had the students measure the circumference of each balloon. Which TWO outcomes do you predict the students will find and why?
Answer:
n
Explanation:
TWO outcomes can be predicted the students will find:
The size of balloon A becomes smaller.The size of balloon B becomes larger.What is the relation between temperature and volume of the gases?When a constant mass of gas is cooled, its volume falls, and when the temperature is raised, its volume grows. The volume of the gas rises by 1/273 of its initial volume at 0 °C for every degree of temperature rise.
In layman's words, the volume of a fixed mass of gas is exactly proportional to temperature at constant pressure.
The teacher took two latex balloons and blew them up with helium gas to the same size. As she placed Balloon A in a -15° C freezer, its temperature decreases and that's why, the size of balloon A becomes smaller. Again she placed Balloon B in the sun on 30° C day, its temperature increases and that's why, the size of balloon B becomes larger.
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6. The first vertebrates appeared during
a. Precambrian time
b. the Paleozoic Era
C. the Mesozoic Era
d. The Cenozoic Era
Answer:
b. the Paleozoic Era
Explanation:
The first vertebrates to appear are primitive fish in the Cambrian Period, but bony fishes with actual bony vertebratae didn't appear for another 100 million years. The Cambrian Period is the first of three periods in the Paleozoic Era. The Cambrian explosion was an event when practically all major animal phyla started appearing in the fossil record.
The degree of coldness or hotness is different for different objects. Explain with an example
Answer:
Explanation:
The degree of hotness and coldness of air is known as temperature and is measured with a thermometer in degrees-Fahrenheit or degrees-Celsius. Mercury is the only one in the liquid state at room temperature. It is used in thermometers because it has a high coefficient of expansion. The flow of heat will be always from higher to lower temperature.
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Assume each trial ( roll of cubes) represents 1000 years. Imagine that you found a rock sample was 25% Lokium and 75% DOL, how would the rock sample be given the half-life you figured out? Show your work
Assuming each trial represents 1000years, and rock samples were found, the rock sample will be given half-life of
The rock sample will be [tex]2000years[/tex] oldIsotopeWe know that the parent Isotope remaining is given by the expression
[tex]\frac{1}{2}^n[/tex]
where,
n = number of half lives passed
lokium IsotopeFrom the question, the parent Isotope remaining is [tex]25\%[/tex] lokium
[tex]0.25 = \frac{1}{4} = \frac{1}{2^2} = \frac{1}{2}^2[/tex]
Therefore,
[tex]\frac{1}{2}^2[/tex] means 2 half lives have passed.
If from the question,
1 half life = 1000years
Rock ageTherefore,
The rock sample's age = [tex]2*1000 = 2000years[/tex]
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Below are three graphs. The shape of graph 3 shows that the current flowing through this component is __________ proportional to the potential difference across it. What one word completes the sentence?
The relationship between variables might be either directly porportional to each other or inversely proportional to each other. For instance, the current flowing is _directly_ proportional to the potential difference across it.
---------------------
Since I do not have the graph, I will propose two potential options and I will describe each of them.
I suggest you to choose the one that matches the shape of graph 3.
GraphsProbably your graph is composed of the X and Y axes, perpendicularly placed, in a way in which four quadrants are formed.You might see that one of the axes represents the current (I), and the other one represents the potential difference (V).
And a straight line that represents the relationship between the current and the potential difference.
The direction of the straight line reflects the relationship between variables.The change on each variable is proportional to the change on the other variable. Now we have to analyze how that change occurs. Option 1
The current flowing through this component is __DIRECTLY__ proportional to the potential difference across it.
If this is the case of your graph, you should see the straight line crossing from the left inferior quadrant to the right superior one.
The direction of the line suggests that one of the variables increases as the other one increases too. The current increases as the potential increases.
This is the case of the Ohm's law.
Option 2The current flowing through this component is __INVERSELY__ proportional to the potential difference across it.
If this is the case of your graph, you should see the straight line crossing the right quadrant from the superior left corner to the inferior right one.
The direction of the line suggests that the variable represented in the Y ax decreases as the other one increases.
For instance, The current decreases as the potential increases. Or the potential decreases as the current increases.
In the attached files you will find graphs of both options.
-------------------------
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Answer: The relationship between variables might be either directly proportional to each other or inversely proportional to each other. For instance, the current flowing is directly proportional to the potential difference across it.
Explanation:
What do these weapon stats mean?
Idle sway control is measured in Fc???
Flinch resistance is measured in N.
Answer:
its sort of like how Pounds are measured in lbs
Explanation:
Pounds are measured in lbs when they dont sound anything similar, same thing applies to gun technology.
A ball is kicked horizontally from a 60 meter tall cliff at 10 m/s. How far from
the base of the cliff does it land?
Hi there!
We can begin by deriving the equation for how long the ball takes to reach the bottom of the cliff.
[tex]\large\boxed{\Delta d = v_it+ \frac{1}{2}at^2}}[/tex]
There is NO initial vertical velocity, so:
[tex]\large\boxed{\Delta d= \frac{1}{2}at^2}}[/tex]
Rearrange to solve for time:
[tex]2\Delta d = at^2\\\\t = \sqrt{\frac{2\Delta d}{g}}[/tex]
Plug in the given height and acceleration due to gravity (g ≈ 9.8 m/s²)
[tex]t = \sqrt{\frac{2(60)}{(9.8)}} = 3.5 s[/tex]
Now, use the following for finding the HORIZONTAL distance using its horizontal velocity:
[tex]\large\boxed{d_x = vt}\\\\d_x = 10(3.5) = \karge\boxed{35 m}[/tex]
refers to a fear of being trapped in a crowded, public place.
Answer:
Agrophobia
Explanation:
an anxiety disorder in which someone feals anxious and scared in a public place
That’s easy please tell me!
If 90J of energy are available for every 30C of charge, what is the potential difference?
Enter your answer as a number
V
Answer:
3 v
Explanation:
The part of the moon that is visible will appear to grow and shrink during the lunar cycle. This occurs in the direction of _____ to _____.
Answer:
left to right
Explanation:
give me brain pls
Answer:
of the moon to .......
Two 5 kg potted cacti, one in a black pot and one in a blue pot, slide down a sagging shelf in the same direction with
the same speed.
Which two equations correctly model the momentum of the two-cactus system?
Answer:
Answers A and D are the correct solution.
Explanation:
Both pots have the same mass and the same velocity vector.
the only difference between A and D is the selection of the reference frame positive direction.
The equation (A) and equation (D) correctly model the momentum of the two-cactus system.
What is momentum?The product of a particle's mass and velocity is called momentum. Being a vector quantity, momentum possesses both magnitude and direction.
According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
Given that: mass of each cactus: m = 5 kg.
And they slide down a sagging shelf in the same direction with the same speed.
In equation (A), both velocities of two cacti are in positive direction whereas, in equation (B), both velocities of two cacti is in negative direction. Hence, equation (A) and equation (D) correctly model the momentum of the two-cactus system.
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2- What is the kinetic energy in (N.m) and Joules of a 4Kg bowling ball rolling down a
bowling lane at 10 m/s? compare this energy with that of a 250g baseball traveling 50
m/s. which object would hurt more if it hit you (i.e., which object has the greater kinetic
energy)?
Happy Holidays!
Recall the equation for kinetic energy:
[tex]\large\boxed{KE = \frac{1}{2}mv^2 (J)}}[/tex]
m = mass (Kg)
v = velocity (m/s)
KE = kinetic energy (Nm or J)
We can find the kinetic energy for both the bowling ball and baseball:
Bowling ball:
[tex]\large\boxed{KE = \frac{1}{2}(4)(10^2) = 200 J}[/tex]
Baseball:
[tex]\large\boxed{KE = \frac{1}{2}(.25)(50^2) = 312.5 J}[/tex]
Since 312.5 J > 200 J, the BASEBALL has the greater kinetic energy. Thus, it would exert a greater impact force than the bowling ball, so it would hurt more.
a
A soccer player kicks a ball horizontally and it travels 150 m. The ball was kicked off of a cliff that was 75 m
high. What speed was the ball kicked at?
The ball was kicked with a speed of 38.4 m/s.
Using s = ut + 1/2gt², we find the time it takes the ball to reach the ground. Where
s = height of cliff = 75 mu = initial vertical velocity of ball = 0 m/s(since it is kicked horizontally)g = acceleration due to gravity = 9.8 m/s²t = time taken for ball to reach the ground.Substituting the values of the variables into the equation, we have
s = ut + 1/2gt²
75 m = (0 m/s)t + 1/2 × 9.8 m/s² × t²
75 m = 0 m + (4.9 m/s²) t²
75 m = (4.9 m/s²)t²
Dividing both sides by 4.9, we have
t² = 75 m/4.9 m/s²
t² = 15.306 s²
Taking square-root of both sides, we have
t = √15.306 s²
t = 3.91 s
The horizontal distance covered by the ball d = vt where
v = horizontal speed of ball and, t = time taken for the ball to reach the ground.Since we require v, we make it subject of the formula.
So, v = d/t
Given that d = 150 m and t = 3.91 s, substituting these into v, we have
v = d/t
v = 150 m/3.91 s
v = 38.4 m/s
So, the ball was kicked with a speed of 38.4 m/s.
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Identify the types of motion a) The movement of a snail on the ground b) The strings of the guitar c) The whirling of stone tied with a thread
Answer:
1. friction, gravity,
Explanation:
A boy weighing 445 N swings on a 2-m long swing. If his horizontal speed at the lowest point is 3 m/s, what total force must the ropes holding the swing be able to withstand?
Explanation:
We need to calculate the centripetal force:
Fc = W + F
With Fc being the centripetal force, W the weight of the boy, F the centrifugal force (apparent).
We know that we can calculate the apparent centrifugal force thank to the formula:
F = (m·v²)/r = 204N
So we can write:
Fc = W + F = 445N + 204N = 649N
Velocity is an extensive property of a system. TRUE OR FALSE
[tex] \: \: \: [/tex]
[tex] \pink{false}[/tex]
because velocity is neither an intensive nor extensive propertyhope it helpsAnswer:
False
Explanation:
I hope this helped have a great day!!!
5. average A body sets off from rest with a constant acceleration of 8.0 m/s? What distance will it have covered after 3.0 s? 6.
Answer:
[tex]\boxed {\boxed {\sf 36 \ meters}}[/tex]
Explanation:
We are asked to find the distance a body covers. We know the initial velocity, acceleration, and time, so we will use the following kinematic equation.
[tex]d= v_i t+ \frac {1}{2} \ at^2[/tex]
The body starts at rest with an initial velocity of 0 meters per second. The acceleration is 8 meters per second squared. The time is 3.0 seconds.
[tex]v_i[/tex]= 0 m/s a= 8 m/s²t= 3 sSubstitute the values into the formula.
[tex]d= (0 \ m/s)(3 \ s) + \frac{1}{2} (8 \ m/s^2)(3 \ s)^2[/tex]
Multiply the first set of parentheses.
[tex]d= ( 0 \ m/s * 3 \ s) + \frac{1}{2} ( 8 \ m/s^2)(3 \ s)^2[/tex]
[tex]d=0 \ m + \frac{1}{2} ( 8 \ m/s^2)(3 \ s)^2[/tex]
Solve the exponent.
(3 s)²= 3 s* 3 s= 9 s²[tex]d= 0 \ m + \frac{1}{2}( 8 \ m/s^2)(9 \ s^2)[/tex]
Multiply again.
[tex]d= 0 \ m + \frac{1}{2} ( 72 \ m)[/tex]
[tex]d= 36 \ m[/tex]
The body will cover a distance of 36 meters.
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In introductory physics, a typical cavendish balance for measuring the gravitational constant G use metal masses 2.39kg and 16g whose center are separated by 6.81cm calculate the gravitation force between these forces, treating each as a point mass located at the center of the sphere.
gravitational constant =6.67259 × 10⁻¹¹N·m²/kg²
Answer:
Explanation:
F = GMm/d²
F = 6.67259 x 10⁻¹¹(2.39)(0.016) / 0.0681²
F = 5.5019685...x 10⁻¹⁰ N
round as appropriate, probably no more than 3 significant figures.
Value of G seems low, but well within the 3 significant figures of the other numerals. I typically see G = 6.674 x 10⁻¹¹
A rock sinks straight down the surface of a pond, starting from rest and accelerating at an average rate of 2m/s^2 for the first 3 seconds of its motion. At the 3-second mark, the rock reaches its terminal speed and continues at that speed for the remaining 30 meters of motion. What is the total time it takes for the rock to sink from the surface to the bottom of the lake?
Answer:
Explanation:
Terminal speed is
2 m/s²(3 s) = 6 m/s
30 m / 6 m/s = 5 s
total sink time is
3 + 5 = 8 s
The total time taken by the rock to sink would be 8 seconds
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
The acceleration of the rock for the first three seconds = 2 meters/second²
The time taken to reach the terminal velocity = 3 seconds
terminal velocity = 2 ×3
= 6 meters/second²
The time for which the rock sink at terminal velocity = 30 /6
= 5 seconds
total time is taken by the rock to sink = 3 + 5
=8 seconds
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Describe what happens when iron and oxygen combine. Can the change be reversed?
Answer:
iron combines with oxygen to produce rust, which is the compound named iron oxide.
Explanation:
esse is swinging Miguel in a circle at a tangential speed of 3.50 m/s. If the radius of the circle is
0.600 m and Miguel has a mass of 11.0 kg, what is the centripetal force on Miguel? Round to the nearest whole number.
Answer:
Explanation:
F = mv²/R
F = 11.0(3.50²)/0.600 = 225 N
1. An electrically charged atom ___________
Answer:
Is called an Ion
Explanation:
Answer:
An electrically charged atom is called an ion