A projectile is launched with an initial speed of 40 mys from the foor of a tunnel whose height is 30 m. What angle of elevation should be used to achieve the maximum possible horizontal range of the projectile?
Answer:
We are given the trajectory of a projectile:
y=H+xtan(θ)−g2u2x2(1+tan2(θ)),
where H is the initial height, g is the (positive) gravitational constant and u is the initial speed. Since we are looking for the maximum range we set y=0 (i.e. the projectile is on the ground). If we let L=u2/g, then
H+xtan(θ)−12Lx2(1+tan2(θ))=0
Differentiate both sides with respect to θ.
dxdθtan(θ)+xsec2(θ)−[1Lxdxdθ(1+tan2(θ))+12Lx2(2tan(θ)sec2(θ))]=0
Solving for dxdθ yields
dxdθ=xsec2(θ)[xLtan(θ)−1]tan(θ)−xL(1+tan2(θ))
This derivative is 0 when tan(θ)=Lx and hence this corresponds to a critical number θ for the range of the projectile. We should now show that the x value it corresponds to is a maximum, but I'll just assume that's the case. It pretty obvious in the setting of the problem. Finally, we replace tan(θ) with Lx in the second equation from the top and solve for x.
H+L−12Lx2−L2=0.
This leads immediately to x=L2+2LH−−−−−−−−√. The angle θ can now be found easily.
During an experiment a student records the net horizontal force exerted on an object moving in a straight
line along a horizontal frictionless track. The graph above shows the force as a function of time, or the
following, which is the best approximation of the magnitude of the change in momentin of the object
between 0s and 4 s?
20
15
0
ww
SH
M
16
1
1
TIN
40 kg om's
a
20 kg oms
b. 30 kg oms
d
The magnitude of the change in
momentum cannot be determined without
knowing the mass of the object
The best approximation of the magnitude of the change in momentum of the object between 0s and 4 s is 40 kgm/s.
Change in momentum of the objectThe change in the momentum of the object is determined from the impulse received by the object at the given period of time.
The change in momentum of the object is calculated as follows;
ΔP = Ft
where;
F is the force at time 4 s = 10 Nt is time = 4 sΔP = Ft
ΔP = 10 x 4
ΔP = 40 Ns = 40 kgm/s
Thus, the best approximation of the magnitude of the change in momentum of the object between 0s and 4 s is 40 kgm/s.
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How does the nature of heat explain the occurrence of high temperature in a human body that has a fever?
Explanation:
THE BODY INCREASES THE RATE OF HEAT LOSS TO BALANCE THE HEAT BURDEN.Brainliest if correct
Answer:
A
Explanation:
hope it helps you make brainliest
Light waves can interact with matter by being transmitted, absorbed, or ____؟
- help me pleas
Answer:
reflectedExplanation:
Light waves can interact with matter by being transmitted, absorbed, or reflected .
Answer:
Reflection
Explanation:
The answer must be 20
What kind of force draws certain types of metal together?
O A. Friction
O B. Nuclear
O C. Magnetic
O D. Weight
A magnetic force is the answer
Why should we wait a little after changing the volume of the trapped gas and then take the readings??
We wait a little after changing the volume of the trapped gas, to make sure that is the gas is back to room temperature.
Boyle's law
This law states that the volume of a fixed mass of a gas is inversely proportional to its pressure provided that temperature remains constant.
P₁V₁ = P₂V₂
Why we wait a littleWe wait a little after changing the volume of the trapped gas, to make sure that is the gas is back to room temperature because a change in temperature can alter the accuracy of the experiment.
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The top point on a 64-cm-diamotor rolling bicycle wheel has an instantaneous speed of 14 m/s.
How many revolutions will the wheel make in 14 s?
Express your answer in revolutions.
The number of revolutions the wheel will make in 14 s is 97.5 revolutions.
Angular speed of the wheelThe angular speed of the wheel is the rate of change of angular displacement with time.
ω = v/r
where
r is radius of the wheel = 32 cmω = 14/0.32
ω = 43.75 rad/s
Number of revolutions in 14 secondsФ = ωt
Ф = 43.75 rad/s x 14s
Ф = 612.5 rad
N = (612.5 rad) / (2π)
N = 97.5 revolutions
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which religious group did not expand their membership by great numbers during the Second Great Awakening
Answer:
The Catholics.
Explanation:
see answer.
help please help help helphelp
Answer:
∠ABD = 100°
∠CBD = x
we have to find the value of x .
Since ∠ABD & ∠CBD formed on straight line.
Then Sum of ∠ABD & ∠CBD is 180° ( by linear pair)
[tex] \dashrightarrow\sf \: 100 {}^{ \circ} + x \: = 180 {}^{ \circ} \\ \\ \dashrightarrow\sf \:x \: = 180 {}^{ \circ} - 100 {}^{ \circ} \\ \\ \dashrightarrow\sf \:x \: = 80 {}^{ \circ} [/tex]
So, the value of x is 80° .
♧ Supplementary angles add up to 180 degrees
The equation for these angles is:x + 100 = 180
Subtracting the 100 degrees from both sides, we get the value of the unknown angle :x = 180 - 100
So , X = 80 °Hope it helps ~
It's terrific fun to read what the original thinkers had to say for themselves. I read parts of Relativity: The Special and General Theory by Albert Einstein, and found the letter about Einstein forgetting to eat lunch in Einstein: His Life and Universe by Walter Isaacson.
—A Black Hole Is NOT a Hole,
Carolyn Cinami DeCristofano
Choose the most likely reason why the author selected Einstein's work as a source for her book.
It was published recently.
It contains Einstein's opinion.
It uses serious language.
It reflects Einstein's expert knowledge.
Answer:
it contains Einsteins opinion
Answer:
Answer is D
Explanation:
<3
1) A man mass is 150 kg
a) calculate the gravitational force with the formula 10ms[tex] {}^{ - 2} [/tex]
10 ms^-2 is acceleration due to gravitational force
mass = 150kg
force ( weight of the man ) = mass × acceleration due to gravitational force (g)
weight = 150kg × 10ms^-2 = 1500 kg/ms² ( N )
[tex]10 ms {}^{ - 2}[/tex]is acceleration due to gravitational force
mass = 150kg
force (weight ) = mass × gravitational force
weight = 150kg × [tex]10ms {}^{ - 2}[/tex] = 1500 kg/ms²
How much force is required to accelerate a 800kg car by 15 m/s2
Answer:
force=12000
Explanation:
F=m*a aka force equals mass times acceleration so 800*15=12000
Answer:
12000 N
Explanation:
The equation for Force is:
[tex]Force=mass*acceleration[/tex]
We can plug in the given values into the equation:
[tex]Force=800kg*15m/s^2\\Force=12000N[/tex]
Which of the following is TRUE about visible light?
A.
Visible light can never harm you.
B.
Visible light can’t be seen.
C.
Visible light is not real.
D.
Visible light is radioactive and causes skin cancer.
Answer:
i would guess d because it seems the most correct
Explanation:
a. thought it is small, visible can harm you
b. visible light is the only light humans can see with the bare eye
c. visible light is real and can be seen
d. visible light can be radioactive and can cause skin cancer (it is not definite)
When it rains, the roads are most slippery
A: Just after the rain stops and the road is drying off.
B: Just after the rain begins,
because oil dropped from vehicles
has not yet been washed away.
C: After several days of rainy weather, because the
road surface becomes waterlogged.
Answer:
c
Explanation:
after several days of rainy weather, because the road surface becomes waterlogged
In the ballistic pendulum experiment, a bullet of mass 0.06 kg is fired
horizontally into a wooden block of mass 0.2 kg. The wooden block is
suspended from the ceiling by a long string. The collision is perfectly
inelastic and after impact the bullet and the block swing together until
the block is 0.12 m above its initial position. Find the velocity of the
bullet and the block just after impact. Round your answer to the
nearest tenth.
The velocity of the bullet and the block just after impact is mathematically given as
u=6.647m/s
v=1.534m/s
Velocity of the bullet and the blockQuestion Parameters:
In the ballistic pendulum experiment, a bullet of mass 0.06 kg is fired
horizontally into a wooden block of mass 0.2 kg.
the block is 0.12 m above its initial position.
Generally the equation for the conservation of energy is mathematically given as
0.5(m+n)v^2=(m+n)gh
Therefore
v^2=2gh
[tex]v=\sqrt{2*9.8*0.12}[/tex]
v=1.534m/s
Hence
mu+m*0=(m+n)v
0.060*u=(0.060+0.2)*1.534
u=6.647m/s
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Can someone help me with this question AASP
You arrive at a crime scene in a high traffic area shortly after first responders have removed the victim. There are a number of bloody footprints at the scene. After ensuring that the scene is secured from further contamination, what is the most important step to take?
Group of answer choices
obtain the names of all medical personnel who had been at the site
obtain statements from witness
take photographs of all visible footprints
Search for more evidence
Answer:
It seems like c or d I'll say c
Answer:
I believe the answer to be D, search for more evidence. You have to gather evidence while it's still fresh
Boxes A and B are in contact on a horizontal, frictionless surface. Box A has mass 20.0 kg and box B has mass 5.0 kg. A horizontal force of 100 N is exerted on box B. What is the magnitude of the force that box B exerts on box A
Answer:
80 N
Explanation:
For A + B: the net force is 100 N = (mA + mB)*a
a = 100/(20 + 5) = 100/25 = 4 m/s²
For A, the net force = mA * a = 20 * 4 = 80 N
If the vector below is multiplied by 2, what will be its end point?
Vector multiplied by constant (scalar number),the new vector
becomes k |a|. If k> 0, the same direction, k <0, the opposite direction
If we multiply vector A by 2 then the length becomes 2 times vector A and in the same direction
first point (-1,1)
end point after multiplied: 2(-1,1) ⇒(-2,2)
Nowadays, the average person encounters more than a hundred advertisements a day, be it in the form of TV and radio commercials, billboards, online promotions, and print ads, among many others. From all the advertisements you encounter, which one caught your attention? Why? Looking at the root of it, what was the underlying cause of the promotion? What does it target? Whom does it target? How does it convey message to target clientele? Is the promoted product a trend or a fad? ESSAY WRITTING PLEASE HELP ME
The essence of the commercial is to draw the attention of the public to the products of a firm.
What is a commercial?Commercials are the primary ways by which companies promote their products. The essence of the commercial is to draw the attention of the public hence the commercial is designed with music graphics and other means that aid effective communication.
The commercial that got my attention is that of the United Bank for Africa owing to the beautiful blend of orchestra music used in the advertisement which appeals immediately to the mind. The advert targets the business class in the society and aims at granting soft credit to small and medium scale entrepreneurs. It conveys its message to the clientele via music. The advert can be regarded as a trend.
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Do you believe that
we are changed by the people who come into our lives
(good or bad)? In what ways do the people we allow in
our lives change us? Do we always have a choice in the
ways they change us? What about experiences and
traumas, do they change us as well? In what ways can
your life change after certain experiences or traumas?
Give examples to explain your answer.
Answer:
In my opinion, I think we do change when people come to our lives because the way we feel around people makes us feel a certain way around all people in our lives in a good way. They can change our lives by being there and helping us physically and mentally. We do have the choice to follow what someone is trying to change us. Example if we have a problem like addiction, we can choose to get help from anyone or choose not to. Traumas can affect us, but we need to seek help to not fear those problems anymore, thats why people who care about us really want us to change our way of health, addictions, and mental health. For me, as a child my dad was deported because he got a dui and decided for as punishment to be deported or to have a life sentence in the U.S. My mom suffered addiction to drugs and alcohol. I lived with my grandparents for almost my whole childhood untill the age of 9. Then my aunt got engaged and my new uncle decided to take us in because DC.S foound out that me and my other sibling weren't in school at all. Like we never attended school. So we were going to be seperated and taken for adoption untill my uncle had the heart to adopt us and here I am today. He gave us a better life because I finally experienced school,clothes, food, and a safer place to live. All the things I went through even abuse. He changed my life and we changed his. He cares about us, we helped him quit drinking, and that impacts him a lot to open up his heart and quit drinking.
Explanation:
what is the name of the scientist that discovered gravity?
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[tex] \large\green{\overline{\underline{\rm{\red{•••••••••••••••••••••••••}}}}} [/tex]
what is the name of the scientist that discovered gravity?
Isaac Newton
[tex] \large\green{\overline{\underline{\rm{\blue{•••••••••••••••••••••••••}}}}} [/tex]
#CarryOnLearning
#LibreAngMatuto
The scientist named Isaac Newton discovered the gravity. But before that Aristotle was discovered the gravity first but the calculations were poor and not enough for knowing what it is.
#CarryOnLearning
since Ethanol has a heat capacity of 0.614 cal/g °C. If 50 g of ethanol has a temperature of 30ºC and a piece of hot Copper is added to the ethanol causing the temperature to increase to 70ºC. What is the amount of heat absorbed by the ethanol?
This question involves the concepts of heat capacity, temperature, and heat.
The heat absorbed by ethanol is "1228 cal".
HEAT CAPACITYThe heat capacity of a substance is defined as the amount of heat absorbed by a unit amount of that substance for a degree rise in temperature. Mathematically,
[tex]Q = mc\Delta T[/tex]
where,
c = heat capacity = 0.614 cal/g.°Cm = mass of ethanol = 50 gΔT = change in temperature = 70°C - 30°C = 40°CQ = amount of heat absorbed = ?Therefore,
Q = (50 g)(0.614 cal/g°C)(40° C)
Q = 1228 cal
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The two rods are now firmly attached together as in Figure 2.
Sketch and explain what would happen they are heated [2 marks) Fixed and Figure 2
Thermal equilibrium is attained and the both rods are now at the same temperature.
What is thermal equilibrium?Two bodies are said to have attained thermal equilibrium when the two bodies at the same temperature. It should be known that when two rods are firmly attached to each other heat flows from one rod to another.
As such, after some time, thermal equilibrium is attained and the both rods are now at the same temperature.
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Which describes the magnetic field that forms when a wire carries an electric current?
It is in a line perpendicular to the wire.
It is in a line parallel with the wire.
It is in a cylinder around the wire.
It is in a cylinder across the wire.
Answer:
It is in a line parallel with the wire.
Explanation:
trust me
Answer:
b on edge
Explanation:
yes
You stretch your arm and rotate around the center of yourself in the horizontal plane. Suppose you make 2 full revolutions every 1 second, and the distance from the center of your body to the tip of your finger is 1.2 m.
Find:
(a) Find the angular speed of your rotation
(b) Find the period of rotation.
(c) Find the speed of the tip of your finger
(a) The angular speed of the rotation is 12.57 rad/s
(b) The period of the rotation is 0.5 s.
(c) The speed of the tip of your finger is 15.08 m/s.
Angular speed of the rotationThe angular speed of the rotation is calculated as follows;
ω = 2πN
where;
N is number of revolutionsω = 2π x (2) = 4π = 12.57 rad/s
Period of rotation[tex]\omega = 2\pi f\\\\f = \frac{\omega}{2\pi} \\\\T = \frac{1}{f} = \frac{2\pi}{\omega} \\\\T = \frac{2\pi}{4\pi} = 0.5 \ s[/tex]
Speed of your fingerv = ωr
v = 12.57 x 1.2
v = 15.08 m/s
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tome pushed the ends of a large spring together. he had to hold on tight so the spring did not expand in his hands. what type of energy of the spring was increased?
if the bookstore sold 8 books for $66 at that rate how much was one book
Answer questions based on the lab activity.
Assignment
Throughout the reflection, make sure you have a copy of the Student Guide and your data tables. Use the drop-down
menus to complete the statements.
was
This experiment was divided into two parts. For the first part of the experiment, the
intentionally manipulated. This was the independent variable. The dependent variable measured was the
was intentionally manipulated. This was the
by the second part of the experiment, the
independent variable. The dependent variable measured was the
Answer: 1. height of cylinder 2. temperature of cylinder 3.mass of cylinder 4.temp. of cylinder
Explanation:
im doing it rn ! hope this helps :)
The dependent variable gets impacted by changes to the independent variable. Therefore, in the below given ways blanks can be filled.
What are dependent and independent variable?The variable that the experimenter controls is the independent variable. The variable that adapts to the independent variables is known as the dependent variable. The two factors could be connected through cause and effect. The dependent variable gets impacted by changes to the independent variable.
The experiment was divided into two parts. For the first part of the experiment, the height of cylinder was intentionally manipulated. This was independent variable. the dependent variable measured was the temperature of cylinder.
For the second part of experiment, the mass of cylinder was intentionally manipulated. This was the independent variable. The dependent variable measured was the temperature of cylinder.
Therefore, in the above given ways blanks can be filled.
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What is the formula for the intensity of a spherical wave?
Answer:
When there is a point source used without directing the light or sound in a direction, the area of a sphere = 4πr 2 is used instead of the area of circle for calculating intensity. The minimum intensity of sound that a human can hear is 10 -12 Wm -2 and the maximum is 1 Wm -2.
Explanation:
What are the principles that no
one could make you abandon no matter what?
Who do you think you would most likely abandon
your principles for and under what circumstances.
Use examples.
Answer:
There are seven principles that form the content grounds of our teaching framework:
Non-maleficence. ...
Beneficence. ...
Health maximisation. ...
Efficiency. ...
Respect for autonomy. ...
Justice. ...
Proportionality.