Answer:
The bird and the arrow are 84.621 meters far from the hunter.
Explanation:
The arrow experiments of a parabolic motion, which is the combination of horizontal motion at constant velocity and vertical uniform accelerated motion. The arrow strikes the bird when it reaches its maximum height. First, we determined the time taken by the arrow before striking the bird:
[tex]v = v_{o}\cdot \sin \theta + g\cdot t[/tex] (1)
Where:
[tex]v_{o}[/tex] - Initial speed of the arrow, in meters per second.
[tex]v[/tex] - Final speed of the arrow, in meters per second.
[tex]\theta[/tex] - Launch angle, in sexagesimal degrees.
[tex]g[/tex] - Gravitational acceleration, in meters per square second.
[tex]t[/tex] - Time, in seconds.
If we know that [tex]v_{o} = 40\,\frac{m}{s}[/tex], [tex]\theta = 30^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], [tex]v = 0\,\frac{m}{s}[/tex], then the time taken by the arrow is:
[tex]t = \frac{v-v_{o}\cdot \sin \theta}{g}[/tex]
[tex]t = \frac{0\,\frac{m}{s}-\left(40\,\frac{m}{s}\right)\cdot \sin 30^{\circ} }{-9.807\,\frac{m}{s^{2}} }[/tex]
[tex]t = 2.039\,s[/tex]
And the initial horizontal distance of the arrow ([tex]x_{i}[/tex]) is determined by this kinematic formula:
[tex]x_{i} = (v_{o}\cdot \cos \theta)\cdot t[/tex] (2)
If we know that [tex]v_{o} = 40\,\frac{m}{s}[/tex], [tex]\theta = 30^{\circ}[/tex] and [tex]t = 2.039\,s[/tex], then the initial horizontal distance is:
[tex]x_{i} = \left[\left(40\,\frac{m}{s} \right)\cdot \cos 30^{\circ}\right]\cdot (2.039\,s)[/tex]
[tex]x_{i} = 70.633\,m[/tex]
There is an inelastic collision between the arrow and the bird, the initial velocity of the bird-arrow system is:
[tex]v = \frac{m_{A}\cdot v_{o}\cdot \cos \theta}{m_{A}+m_{B}}[/tex] (3)
Where:
[tex]v[/tex] - Initial velocity of the bird-arrow system, in meters per second.
[tex]m_{A}[/tex] - Mass of the arrow, in kilograms.
[tex]m_{B}[/tex] - Mass of the bird, in kilograms.
If we know that [tex]m_{A} = 0.5\,kg[/tex], [tex]m_{B} = 2\,kg[/tex], [tex]v_{o} = 40\,\frac{m}{s}[/tex] and [tex]\theta = 30^{\circ}[/tex], then the initial velocity of the bird-arrow system is:
[tex]v = \frac{(0.5\,kg)\cdot \left(40\,\frac{m}{s} \right)\cdot \cos 30^{\circ}}{0.5\,kg + 2\,kg}[/tex]
[tex]v = 6.928\,\frac{m}{s}[/tex]
And the maximum height reached by the arrow ([tex]y[/tex]), in meters, is:
[tex]y = y_{o} + (v_{o}\cdot \sin \theta)\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (4)
Where [tex]y_{o}[/tex] is the initial height of the arrow, in meters.
If we know that [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 40\,\frac{m}{s}[/tex], [tex]\theta = 30^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s^{2}}[/tex] and [tex]t = 2.039\,s[/tex], then the maximum height reached by the arrow is:
[tex]y = 0\,m + \left(40\,\frac{m}{s} \right)\cdot (2.039\,s)\cdot \sin 30^{\circ} +\frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}}\right)\cdot (2.039\,s)^{2}[/tex]
[tex]y = 20.394\,m[/tex]
Time needed by the bird-arrow system to land is determined by this expression based on (4):
[tex]y = y_{o} + (v_{o,y})\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex]
If we know that [tex]y_{o} = 20.394\,m[/tex], [tex]y = 0\,m[/tex], [tex]v_{o,y} = 0\,\frac{m}{s}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], then the time needed to land is:
[tex]0\,m = 20\,m + \left(0\,\frac{m}{s} \right)\cdot t + \frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right)\cdot t^{2}[/tex]
[tex]t = 2.019\,s[/tex]
And the horizontal distance travelled by the bird-arrow system ([tex]x_{ii}[/tex]), in meters, is calculated from a formula based on (2):
[tex]x_{ii} = v_{o, x}\cdot t[/tex]
If we know that [tex]v_{o,x} = 6.928\,\frac{m}{s}[/tex] and [tex]t = 2.019\,s[/tex], then the distance travelled by the bird-arrow system is:
[tex]x_{ii} = \left(6.928\,\frac{m}{s} \right)\cdot (2.019\,s)[/tex]
[tex]x_{ii} = 13.988\,m[/tex]
The final distance of the bird-arrow system from the hunter is:
[tex]x = x_{i} + x_{ii}[/tex]
[tex]x = 70.633\,m + 13.988\,m[/tex]
[tex]x = 84.621\,m[/tex]
The bird and the arrow are 84.621 meters far from the hunter.
All students except one are cheating on a test. The one student who is not cheating on the test is exhibiting abnormal behavior. Based on the information provided in the article, explain the conclusion of this scenario. Which definition for abnormal behavior would apply to this scenario? (Site 1)
Answer: See explanation
Explanation:
According to clinical psychology, an abnormal behavior is when an act results in a significant distress and is deviant from the normal practice.
In this case, while the whole class is cheating, one student isn't. This shows that the student is deviating from what every other person is doing. Since the student deviates from the norm, it's an abnormal behavior.
Answer:
The reason he might be exhibiting abnormal behavior is the fact that everyone except him is cheating on a test. He is the odd one out and due to this he might be anxious/nervous. Perhaps he thinks that since he is the only one not cheating that he might get a bad grade cause the teacher will assume he is cheating aswell. Another might be that he does not like being singled out. It's out of the norm and he does not particularly like it.
Explanation:
Take this and alter it to your liking. It got me a 100%!
What best describes an impulse acting on an object?
the net force on an object divided by the time of impact
the velocity of an object divided by its mass
the product of an object's mass and the time of force impact
the product of an object's mass and its change in velocity
it
Answer:
D
Explanation:
what is her mass pls help
Answer:
B
Explanation:
c A flea jumps off the dog and changes its speed by
1.2 m/s in a time of 0.8 milliseconds. Calculate its
acceleration. (1 ms = 10-²5)
d Compare the kinetic energy of the dog and the flea.
An object is placed beyond the focal point on the principal axis of a concave mirror, the image will be
Question 8 options:
none of the above.
virtual and inverted.
real and inverted.
virtual and upright
Question 9 (1 point)
The mirror used for the head light of a car is
Question 9 options:
convex
plane
cylindrical
concave
Explanation:
8. Real and inverted
9. Concave mirror
Infrared technology can be used to do which of the following?
A. Locate tumors in the body
B. Monitor human activity at night
C. Photograph through solid objects
O D. Communicate across long distances
Answer:
human activity at night
Explanation:
just did it
Which statement best describes particles that are affected by the strong
force?
A. Particles that make up an atom
B. Particles in an atom that are neutral
C. Particles that make up nucleus
D. Particles in an atom that have a charge
Answer:
C. Particles that make up a nucleus
Explanation:
A P E X
Please help ..... 10 points .....
Answer:
D. elliptical galaxy
Explanation:
Hope this helps :)
can someone help please and thank you:)
Answer:
infrared will do but I'm not sure this question is hard if I may say and we cannot take green because it is the colour that the concept must have
Las placas de un capacitor de placas paralelas están en forma horizontal. En el espacio se coloca una losa de material dieléctrico con que llena la mitad inferior del espacio entre las placas. ¿Cuál es la nueva capacitancia resultante
Plisssss you can help me pliss
helpppppppppppp.......!
Explanation:
m = 66 kg
a = 2 m/s²
F = .....?
F = m . a= 66 . 2
= 132 N
#CMIIWKicks and throws are examples of
A. friction
B. force
C. both friction and force
B.
force is the example of kicks and throws
5. A lamp operates at 10 volts and draws a current of 0.5 ampere for 60 seconds. What
power is developed by the lamp?
P = 5 watt
Explanation:
P = VI
= (10 volt)(0.5 A)
= 5 watt
The electric power developed by the lamp will be 5 watts. Electric power is found by the multiplication of voltage and electric current.
What is electric power?Electric power is the product of the voltage and current. Its unit is the watt.
The given data in the problem is;
The voltage is,V = 10 volt (V)
The electric current is,I = 0.5 ampere (A)
The formula for the power is given as;
[tex]\rm P= V I \\\\\ P= 10 \times 0.5 \\\\ P= 5 \ watt[/tex]
Hence electric power developed by the lamp will be 5 watts.
To learn more about the electric power refer to the link;
https://brainly.com/question/12316834
9) An object with a height of 18 cm is placed in front of a converging lens. The image has a
height of –9.0 cm.
a) What is the magnification of the lens?
b) If the focal length of the lens is 6.0 cm, how far in front of the lens is the object?
c) Where does the image appear?
Answer:
Explanation:
a) Magnification = image height / object height = -9 / 18 = -0.5
b) Magnification = - image distance / object distance = -0.5
so image distance = 0.5 object distance
1/focal length = 1/image distance + 1/object distance
1/6 = 1/(0.5 object distance) + 1/object distance
object distance = 18.0 cm
c) Image appears behind the lens.
Answer:
Explanation:
mag = ht i/ht o = -9/18 = -1/2
mag = -1/2 = -di/do
do = 2di
put in eqn
1/f = 1/di + 1/do
1/6 = 1/di + 1/2di
2di = 18
do = 18cm
image is behind lens
The bending of light as it travels from one medium into another is called
Question 15 options:
none of the above.
reflection.
diffraction.
refraction.
Answer:
Refraction is the correct option
Answer: refraction
Explanation: it is the bending of light rays as it moves from one medium to another.
This is science btw
Use these symbols to answer the following questions.
T = dominant gene for tall plants
t = recessive gene for short plants
A plant which is short must have a"Tt" gene.
True
False
Answer:
False
Explanation:
It is also tall.
Genotype is a way to describe the combination of alleles that an individual has for a certain gene (Table below). For each gene, an organism has two alleles, one on each chromosome of a homologous pair of chromosomes (think of it as one allele from Mom, one allele from Dad). The genotype is represented by letter combinations, such as TT, Tt, and tt.
What is the mass of an object with 15,000 J of kinetic energy moving at 20 m/s?
Answer:
kE=1/2mv^2
Explanation:
here
KE= 15000j
velocity =20m/s
mass=?
now
mass=
15000×2= (m)20^2
30000=m ×400
30000÷400=m
Mass (m)= 75
therefore mass is 75kilogram
An electromagnetic wave has a frequency of 4.0 x 10^18 Hz. What is the wavelength of the wave?
Answer:
7.5 × 10^-11 m
Explanation:
Hope this helps !
Does anyone know what these three are? I need help!
Answer:
1. A
2. C
3. A
Explanation:
I'm so sorry if I am wrong
what is wheel and axle?
Answer:
Wheel and axle consists of two coaxial cylinders of different diameters. Various examples of wheel and axle are used in our daily life. Some examples of such wheel and axles are string-roller, screwdriver, MADANI, ROTE PING, spanners, knobs of a door, steering of vehicles etc. Most of them are used for magnifying effort but some are also used to gain speed like MADANI and ROTE PING. In wheel and axles, usually effort is applied on big cylinder called wheel and is overcome bya small cylinder called axle.
Answer:
Explanation: The wheel and axle
a machine consisting of a wheel attached to a smaller axle so that these two parts rotate together in which a force is transferred from one to the other.
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
The answer is number 2 :)
Answer:
A
Explanation:
yeah physics
Accerelation is the same of everything, regardless of mass. The only thing that affects is aerodynamics of the thing
does a parallel circuit with 2 resistors have more resistance than a series circuit with 2 resistors
That depends on the values of the resistors.
If the same two resistors are used in both cases, then the total resistance is more in series and less in parallel.
Here's a catchy little factoid for ya:
-- In series, the total resistance is more than the biggest single one.
-- In parallel, the total resistance is less than the smallest single one.
You have a 100 ohm resistor. How
much resistance must you add in
parallel to the 100 ohm resistor to
create an equivalent resistance of
75.0 ohms?
Answer:
R2 = 300 Ohms
Explanation:
Let the two resistors be R1 and R2 respectively.
RT is the total equivalent resistance.
Given the following data;
R1 = 100 Ohms
RT = 75 Ohms
To find R2;
Mathematically, the total equivalent resistance of resistors connected in parallel is given by the formula;
[tex] RT = \frac {R1*R2}{R1 + R2} [/tex]
Substituting into the formula, we have;
[tex] 75 = \frac {100*R2}{100 + R2} [/tex]
Cross-multiplying, we have;
75 * (100 + R2) = 100R2
7500 + 75R2 = 100R2
7500 = 100R2 - 75R2
7500 = 25R2
R2 = 7500/25
R2 = 300 Ohms
Highway safety engineers want to design roadside barriers that will crumple
in the event that a car drives off the road and collides with them, slowing
down the car more gradually. The average person has a mass of 68 kg and
travels on a highway at a velocity of 27 m/s. If the engineers know that the
maximum force that a person can safely withstand is 2180 N, approximately
how much time is required to crumple the barrier to safely slow the person
with this force?
Answer:
[tex]0.84\:\text{s}[/tex]
Explanation:
The impulse-momentum theorem states that the impulse on an object ([tex]F\Delta t[/tex]) is equal to the change in momentum of that object ([tex]\Delta p[/tex]).
Set up the following equation:
[tex]F\Delta t=\Delta p[/tex]
Solving for change in momentum:
The momentum of an object is equal to [tex]p=mv[/tex], where [tex]m[/tex] is the mass of the object and [tex]v[/tex] is the velocity of the object. Since the person's final velocity will be zero, their final momentum will also be zero. Therefore, the person's change in momentum is [tex]68\cdot 27-0=1836\:\text{kgm/s}[/tex].
Solving for time:
[tex]2180\cdot\Delta t = 1836,\\\Delta t =\frac{1836}{2180},\\\Delta t =\boxed{0.84\:\text{s}}[/tex]
Answer:
If the engineers know that the
If the engineers know that themaximum force that a person can safely withstand is 2180 N, approximately, 0.84 second is required to crumple the barrier to safely slow the person
is required to crumple the barrier to safely slow the personwith this force.
Ella had a beaker of warm water Its temperature was 70 degrees celsius She poured in some water and stirred the mixture. When she measured the temperature of the water, it had fallen to 40 degree celsius
Explain why the temperature of the water decreased when the cold water was added to it
[tex] \mathfrak{\huge{ \mathfrak{ \underline{ Answer }}}\: ✓ }[/tex]
We know, hot water has more energy than the cold water , so when cold water is added in the beaker then heat transfer occurs from hot water to cold water to balance the Energy, causing the drop of temperature from 70° C to 40° C.
Note : Heat transfers occurs from hotter object to cooler one.
_____________________________
[tex] \mathrm{ \#TeeNForeveR}[/tex]
(PLEASE HELP !! )Does the chemical equation follow the Law of Conservation Of Matter?
A. No
B. Yes
Please explain to.
Answer: No
The Law of Conservation infers that the matter within a system will perserve its quantity (less there's an outside factor which disrupts the system). There should be more Cl within the products side of the equation, and more Br within the reactants side (there should be general adjustment to make this problem balanced), so that the matter is equal in quantity within both sides of the equation.
Type the correct answer in the box. Spell all words correctly. Complete the sentence using the correct term. A ______enforces federal and state laws related to environmental and natural resources. Reset Next reserved.
Answer:
Environmental Protection Agency (EPA)
Explanation:
In the United States of America, the agency which was established by US Congress and saddled with the responsibility of overseeing all aspects of pollution, environmental clean up, pesticide use, contamination, natural resources and hazardous waste spills is the Environmental Protection Agency (EPA). Also, EPA research solutions, policy development, and enforcement of regulations through the resource Conservation and Recovery Act.
The Environmental Protection Agency (EPA) is the governmental agency set up to ensure that various industries, factories and people comply with laws and regulations concerning the environment i.e it is an agency established to oversee and enforce environmental compliance by the people.
Hence, the Environmental Protection Agency (EPA) is saddled with the responsibility of enforcing federal and state laws related to environmental and natural resources.
Consider a day in the physics lab room with room temperature of 20 0C and pressure of 1.0 atm. A container of 3.5 L is left open to the air for a long time. The container is then sealed and place on a Bunsen burner until its temperature reaches 95 0C. It is then open. How many moles of air escape?
Answer:
The number of moles of air that escape is approximately 0.027 moles
Explanation:
The room temperature, T₁ = 20 °C = 298.15 K
Atmospheric pressure, P₁ = 1.0 atm
The volume of the container, V₁ = 3.5 L
The final temperature of the air in the container after heating on the Bunsen burner, T₂ = 95 °C = 368.15 K
The container opened finally
The ideal gas equation is P·V = n·R·T
∴ n = P·V/(R·T)
Where;
R = The universal gas constant = 0.08205 L·atm/(mol·K)
Therefore, we get;
n₁ = 1.0 × 3.5/(0.08205 × 298.15) ≈ 0.143
The number of moles, n₁ ≈ 0.143 moles
When the gas is heated to 95 °C, the number of moles becomes
n₂ = P₂·V₂/(R·T₂)
P₂ = 1.0 atm atmospheric pressure, V₂ = 3.5 L, the volume of the container, T₂ =
∴ n₂ = 1.0 × 3.5/(0.08205 × 368.15) ≈ 0.116
The number of moles of air remaining in the container, n₂ ≈ 0.116 moles
The number of moles of air that escape, n = n₁ - n₂
∴ n = 0.143 - 0.116 = 0.027
The number of moles of air that escape, n ≈ 0.027 moles
express the relationship between 1/do, 1/di, 1/f as an equation.
1/do + 1/di = 1/f
blah blah blah why does the answer have to be 20 characters long