A small wooden block with mass 0.750 kg is suspended from the lower end of a light cord that is 1.40 m long. The block is initially at rest. A bullet with mass 0.0100 kg is fired at the block with a horizontal velocity v0. The bullet strikes the block and becomes embedded in it. After the collision the combined object swings on the end of the cord. When the block has risen a vertical height of 0.800 m, the tension in the cord is 5.00 N.
Required:
What was the initial speed v0 of the bullet?
Answer:
The initial speed of the bullet will be:
[tex]v_{ib}=331.36\: m/s[/tex]
Explanation:
Using the momentum conservation:
[tex]p_{i}=p_{f}[/tex]
[tex]m_{b}v_{ib}=Mv[/tex] (1)
Where:
M is the mass of the black plus the mass of the bulletv(ib) is the initial velocity of the bulletv is the velocity of the block with the bullet inside.Using the conservation of energy:
[tex]\frac{1}{2}Mv^{2}=\frac{1}{2}Mv_{2}^{2}+Mgh [/tex] (2)
Where v(2) is the speed of the system at 0.8 m of vertical height.
Using the forces acting on the system we can find v(2).
The forces can be equal to the centripetal force:
[tex]T-Mg*sin(\alpha)=M\frac{v_{2}^{2}}{L}[/tex]
α is the angle of T with respect to the horizontal, here α = 25.4°
So, v(2) will be:
[tex]T-Mg*sin(\alpha)=M\frac{v_{2}^{2}}{L}[/tex]
[tex]\frac{L}{M}(T-Mg*sin(\alpha))=v_{2}^{2}[/tex]
[tex]\frac{1.4}{0.76}(5-0.76*9.81*sin(25.4))=v_{2}^{2}[/tex]
[tex]v_{2}=1.82 \: m/s[/tex]
Using this value on equation (2) we will find v.
[tex]v^{2}=v_{2}^{2}+2gh [/tex]
[tex]v^{2}=1.82^{2}+2(9.81)(0.8) [/tex]
[tex]v=4.36\: m/s [/tex]
And finally using equation (1) we can find the initial speed of the bullet.
[tex]m_{b}v_{ib}=Mv[/tex]
[tex]0.01*v_{ib}=0.76*4.36[/tex]
[tex]v_{ib}=331.36\: m/s[/tex]
I hope it helps you!
Priscilla is driving her car on a busy street and Harvey passes her on his motorcycle. What will happen to the sound from his motorcycle after it passes her car?
A.
The frequency of the sound will decrease.
B.
The amplitude of the sound will increase.
C.
The intensity of the sound will increase.
D.
The wavelength of the sound will decrease.
E.
The velocity of the sound will increase.
Answer:
the correct answer is A
Explanation:
This is a doppler effect exercise which is the change in frequency due to the relative movement of the sound source and the observer.
[tex]f' = f_o \ \frac{v+v_o}{v-v_s}[/tex]
where v₀ is the speed of the observer and v_s the speed of the source, the signs correspond when the two are closing in
with this expression let's analyze the different answers
A) True. The observed change is in the frequency, in this case the two are moving away, so the expression that describes the phenomenon is
[tex]f'= f_o \ \frac {v-v_o}{ v+v_s}[/tex]
In this case, the speed of the source is greater than the speed of the observer, so when the denominator increases faster than the numerator, consequently the frequency must decrease
B) False. The amplitude does not depend on the relative velocity
C) False. The intensity depends on the distance, by or which when increasing the distance the intensity should decrease
D) False. The speed of sound is a constant, if the frequency decreases the wavelength must increase to maintain equality
E) False. The speed of sound depends on the properties of the propagating medium, not on the relative speed of the source and the observer.
Consequently the correct answer is A
A seismic wave is detected 100m, 5s after and explosion. Calculate the wave speed
we know that,
Frequency = 1/ time period
hence, Feq = 1/5 ===> 0.2 Hz
hence, wave velocity = freq * wavelength
hence,
V = 0.2 * 100
==> Wave velocity = 20 m/s
A tin can sinks when it is heated with a lid closed and then put cold water in it. why?
d. What is the net force on the bowling ball rolling lane
Answer:
Friction
Explanation:
The ratio of the elements in a binary ionic compound are based on the element's ________________.
Answer:oxidation number
Explanation:
i just took quiz;)
The ratio of the elements in a binary ionic compound are based on the element's oxidation number.
What is Oxidation number?Oxidation number can be generally described as the number which is allocated to the chemical elements in a chemical combination of different compounds. The oxidation number of an element is basically the number or count of electrons that atoms in a molecule can share, lose or gain while they are forming chemical bonds with the other atoms of a different element or atom.
The oxidation state, or oxidation number is the hypothetical charge which is present on an atom if all of the bonds in an atom to different atoms were fully ionic in nature. Oxidation state describes the degree of oxidation of an atom in a chemical compound or molecule. The oxidation state may be positive, negative or zero depending upon the loss or gain of electrons.
Learn more about Oxidation number here:
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Which type of force causes an object to stop sliding along a surface?
A. Compression
B. Tension
C. Electric
D. Friction
Answer:
D. Friction is the type of force
6. Applying Explain how scientists see what early galaxies looked like..
Answer: The younger elliptical and lenticular galaxies had results similar to spiral galaxies like the Milky Way. The researchers found that the older galaxies have a larger fraction of low-mass stars than their younger counterparts.
Explanation:
Most stars consist of what
percentage of hydrogen?
A. 65%
B. 73%
C. 81%
D. 88%
Helppp question in photo
Answer:
Its more likely to be wave D.
Explanation:
Light waves for violet are closer together than all other colors.
I will mark you brainlist!
If you could create an alterrnative source of energy that would save our plant what would it be?
Oh god someone sent something really bad, I only saw it for a few seconds. Honestly you should re post this question, jeez...
The unit called the____
is defined based on the amount of
work a horse can do in 1 minute.
The unit called horsepower is defined based on the amount of work a horse can do in 1 minute.
What is horsepower?James Watt used the horsepower unit for the first time in 1782. According to the account, James Watt used a pony to charge coal from the mines. According to the narrative, he needed a unit to measure the force of one of these animals.
He discovers that they can move 22.000 lbs per minute and decides to (arbitrarily) boost this metric by 50%. Having been the unit 33.000 lb/ft per minute, horsepower is an engine's output horsepower rating, whereas brake horsepower is an engine's input brake horsepower.
Brake horsepower measures an engine's power without accounting for power losses, whereas HP accounts for power losses. Horsepower of the brakes
Therefore, the horsepower unit is defined by the amount of work a horse can do in one minute.
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A toroidal solenoid has a radius of 0.12 m and a cross sectional area of 20×10^-4 m2. It is found that when the current is 20A, the energy is 0.1 J. How many turns does the winding have?
Answer:
the number of turns in the winding is 387 turns.
Explanation:
Given;
radius of the solenoid, r = 0.12 m
cross sectional area of the solenoid, A = 20 x 10⁻⁴ m²
current flowing through the solenoid, I = 20 A
the energy of the flowing current, E = 0.1 J
The energy stored in solenoid is given as;
[tex]U = \frac{1}{2} LI^2\\\\L = \frac{2U}{I^2} \\\\L = \frac{2 \times 0.1}{20^2} \\\\L = 5 \times 10^{-4} \ H[/tex]
The number of turns in the winding is calculated as follows;
[tex]L = \frac{\mu_o N^2A}{2\pi r} \\\\N^2 = \frac{2\pi r L}{\mu_o A} \\\\N = \sqrt{\frac{2\pi r L}{\mu_o A}} \\\\N = \sqrt{\frac{2\pi \times 0.12 \times 5\times 10^{-4} }{4\pi \times 10^{-7} \times 20\times 10^{-4} }}\\\\N = 387 \ turns[/tex]
Therefore, the number of turns in the winding is 387 turns.
Q varies as w. If q is 24 when w is 36, find q when w is 288.
Answer:
Value of Q when W = 288 is 192
Explanation:
Given that;
q varies as w [Using ratio property]
Given that value of q = 24
And value of w = 36
Find:
Value of Q when W = 288
Computation:
If Q varies as W
So their ratio must be same
So, using ratio property for find factor
q / w = Q / W
24 / 36 = Q / 288
Q = [24 x 288] / 36
Q = 6,912 / 36
Value of Q when W = 288 is 192
what is microeconomic
Weather is caused by the rising and falling of warm and cool air called
Answer:
Convection currents
Explanation:
As hot air cools it sinks back to the surface of the earth, where it gets warmed by the ocean only to rise again. This is called a convection current. Convection currents are defined as room air rising and cold air sinking
~Hope this helps
~Bre
why do dzongs have broader base?
Answer:
The base of taller buildings are made broader because it reduces the pressure exerted on the ground so that they do not sink in due to the extremely high pressure of the building.
Explanation:
hope thiss helpss~!
A broad base is used to engage or recruit a diverse range of individuals to broad-based environmentalism.
Broader base:The broader base is a base of taller structures was built wider to reduce the pressure placed on the floor.It preventing the ground from sinking due to the house's extremely high tension.This structures have a wider base because the pressure is inversely proportional to area.That's why the increasing the area reduces the pressure or we can that the structure would not fall apart.Find out more about the broader base here:
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How does the shape of a conductor affect resistance
PLEASE HELP ME IN THE QUESTION ALSO! because I didn't understand
Answer:
3.69 m/s²
Explanation:
weight = mass × Acceleration of gravity
479.96 = 129.72 × Acceleration of gravity
Acceleration of gravity = 479.96/129.72 = 3.69 m/s²
What are the benefits when you engage in physical fitness?
Answer:
manage your weight better, have stronger bones, have lower blood pressure, less risk of a heart attack, etc.
Answer:
You become healthier, your body starts regulating better, you get stronger bones and muscles, and you lower the risk of diabetes,heart problems and other diseases.
which describes the attraction of one water molecule toward another
which letter represents the way the wave is moving?
Wouldn't it be B because it's a majority pointing to it?
Sorry if i'm wrong.
Consider three identical light bulbs connected as shown in the circuit below.
a. Which light bulb(s) will be brightest? Explain.
b. What will happen to B and C if light bulb A is removed? Explain.
c. What will happen to A and B if light bulb C is removed? Explain.
Answer:
a.It is bulb A
b.They will have less light, because they are in series
c.It will have more light because all tge current will flow to one bulb which is A
a)Light bulb A will be brightest.
b)Because they are connected, they will have less light if light bulb A is removed.
c)Bulb A and B will light more. If light bulb C is removed.
What is an electric bulb?An electric bulb is a gadget that uses electricity to create visible light. It is the most popular type of artificial lighting and is necessary for modern society.
When one bulb in a series circuit burns, out, the rest of the bulbs will light. Hence, the following result is obtained;
a)Light bulb A will be brightest.
b)Because they are connected, they will have less light if light bulb A is removed.
c)Bulb A and B will light more. If light bulb C is removed.
To learn more about the electric bulb refer to the link;
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Circular Motion
Barbie is whirled in a horizontal circle on a 1.0 meter long string, such that the string makes a 10.° angle with the horizontal. Calculate Barbie's tangential speed
Please explain how to do it
Answer:
Explanation:
As the 1-meter string is at a 10° angle, the radius of horizontal circle Barbie is whirled will be = 1*cos(10°) meter.
Once the rotation speed is given, then multiple that by cos(10°) will be the tangential speed.
Answer:
Explanation:
cant calculate as no speed is given but the tangential speed is
= rotation speed x radius x cos 10.°
= rotation speed x cos 10.°
Can anyone help please
Answer:
d) Similar and joined in series
Explanation:
In a series combination of resistors, the current throughout the circuit remains the same, while the total voltage across the circuit is the sum of the voltage across each resistor connected in the circuit.
[tex]V_{Total} = V_{1}+V_{2}+V_{3}+...+V_{N}[/tex]
Now, if we consider that all the resistors are similar having rgw same value of resistance. So for the same value of resistance and current, the voltage drop across each resistor will also be the same.
[tex]V_{Total} = V+V+V+...+V(upto\ N\ resistors)\\V_{Total} = NV_{Resistor}\\V_{Resistor=}\frac{V_{Total}}{N}[/tex]
Hence, the correct option is:
d) Similar and joined in series
An Atwood's machine consists of blocks of masses
m1 = 11.0 kg
and
m2 = 19.0 kg
attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass
M = 7.90 kg
and radius
r = 0.200 m.
The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping.
Answer:
Explanation:
Given that:
[tex]mass \ m_ 1 = 11.0 \ kg[/tex]
[tex]mass \ m_2 = 19.0 \ kg[/tex]
[tex]mass \ of \ the \ pulley\ M = 7.90 \ kg[/tex]
[tex]Radius \ of \ the \ pulley = 0.200\ m[/tex]
1) Provided that the mass in [tex]m_2[/tex] is greater than the mass we have in [tex]m_1[/tex], then likewise the tension we have in [tex]T_2[/tex] will be greater than the tension in [tex]T_1[/tex]
Using Newton's second law to mass [tex]m_1[/tex], we have:
[tex]m_2g - T_2 = m_2 a \\ \\ T_1 = m_1 g +m_1 a \\ \\ T_1= m_1 (g+a) --- (1)[/tex]
By using the second law, we have:
[tex]m_2g - T_2 = m_2a \\ \\ T_2 = m_2 (g-a)---(2)[/tex]
For the pulley, let's use the torque equation, so we have:
[tex]T_2 r -T_1 r = I \alpha \\ \\ T_2r -T_1r = \Big ( \dfrac{Mr^2}{2}\Big) \dfrac{a}{r} \\ \\ T_2 -T_1 = \dfrac{Ma}{2} ---- (3)[/tex]
Altogether, from equation (1)(2) and (3), we have:
[tex]m_2(g-a) -m_1 (g+a) = \dfrac{Ma}{2} \\ \\ m_2g -m_2a -m_1g-m_1a = \dfrac{Ma}{2} \\ \\ a = \dfrac{(m_2 -m_1) g}{(m_1 + m_2 + \dfrac{M}{2})} \\ \\ a = \dfrac{(19.0 \ kg - 11.0 \ kg ) ( 9.8 \ m/s^2)}{(19.0 \ kg + 11.0 \ kg + \dfrac{7.90 \ kg }{2} )}[/tex]
[tex]a = 2.31 \ m/s^2[/tex]
Also; from equation (1), the tension in the string is:
[tex]T_1[/tex] = (11.0 kg ) ( 9.8 + 2.31) m/s²
[tex]T_1[/tex] = 133.21 N
[tex]T_1[/tex] ≅ 133 N
From equation (2):
[tex]T_1[/tex] = m_2(g-a)
[tex]T_1[/tex] = (19.0 kg) ( 9.8 - 2.31) m/s²
[tex]T_1[/tex] = 142.31 N
[tex]T_1[/tex] = 142 N
Which imaging technique uses X-rays to make cross-sectional images of the body?
O MRI
CT scan
X-ray imaging
ultrasound
Answer: Computed tomography (CT) is an imaging tool that combines x-rays with computer technology to produce a more detailed, cross-sectional image of your body. A CT scan lets your doctor see the size, shape, and position of structures that are deep inside your body, such as organs, tissues, or tumors.
So, the answer must be a CT scan. I may be wrong.
Answer:
B. CT SCAN
Explanation:
Edge 2021
can y'all put any workouts to lose weight pls
) If two half-open air columns A and B, that have identical lengths with one free and one fixed boundary, are subject to the same sound source frequency, what could explain why a wave may travel slower along column A compared to column B? Choose all that apply, and explain below. a) Column A has a slightly smaller diameter than column B. b) Column A is filled with argon gas, and column B is filled only with air. c) Column A and column B are identical in their fluid (i.e., air) density, except that the air in column A is at a higher temperature.
Answer:
* for the condition the velocity in column A is less than in column B
all the answers are false
* the speed of sound in column A is greater than in column B
True b and c
Explanation:
This interesting exercise we have a mixture of the resonance conditions and the conditions for the speed of sound.
The resonance condition is that at the closed end we have a node and at the open end a belly
λ = 4L first harmonic (fundamental)
The conditions of the speed of sound are
v = [tex]\sqrt{\frac{B}{ \rho } }[/tex]
the velocity for air is v = 343 m/s at 20ºC and for argon it is v = 670 m/s at 20ºC
Another relationship is that the density of a gas depends on the temperature
v = v₀ [tex]\sqrt{1 + \frac{T}{273} }[/tex]
v₀ is the speed of sound at 0ºC
let's examine the different answers
* for the condition the velocity in column A is less than in column B
a) False. The resonance does not depend on the diameter but on the length of the column
b) False. The speed of sound in argon is greater than in air, the volume modulus of argon is greater
c) False. The speed depends on the root of the temperature, increasing the temperature increases the speed of sound.
As you can see in this case all the answers are false, let's change the condition
* the speed of sound in column A is greater than in column B
a) False
b) True
c) True
A ray of laser light strikes a glass surface at an angle a=25.0° tot he normal and it is refracted to an angle b=18.5° to the normal. What is the index of refraction nb for this type of glass? Na=1.00
A. 3.26
B. 3.52
C. 1.32
D. 1.89
Answer:
1.33
Explanation:
According to snell's law,
n = sin(a)/sin(b)
Given
a = 25.0°
b = 18.5°
Substitute
n = sin25/sin18.5
n = 0.4226/0.3173
n = 1.33
Hence the index of refraction nb for this type of glass is 1.33
