Equations of Motion 2D - Will mark the brainliest
A cannon on horizontal ground, at point C, is used to target a point T 25m behind a narrow wall. Unfortunately the cannon is damaged and can only fire at a 45 ∘ angle and at one speed.
a. If the cannonball leaves the cannon at u =35ms −1 at what distance d must the cannon be placed in front of the wall in order to hit the target, if the wall is ignored and the target is at the same height as the cannon
b. The wall is 15.0m high. Does the cannonball actually go over the wall and hit the target? If so, by how much?
Answers
Answer:
Using the range formula S = V^2 * sin 2 theta / g
So the cannonball should travel
S = 35^2 * sin 90 / 9.8 = 125 m
Then the cannon should be placed 100 m from the wall
H = Vy t - 1/2 g t^2 height of cannonball after time t
Vy = 35 * sin 45 = 24.7 m/s vertical speed of cannonball
Vx = 35 * cos 45 = 24.7 m/s
t = 100 m / 24,7 m/s = 4.04 sec time for cannonball to reach wall
H = Vy t - 1/2 g t^2 height of cannonball after time t
H = 24.7 * 4.04 - 1/2 * 9.8 * 4.04^2 = 19.8 m
19.8 m - 15 m = 4.8 m cannonball clears wall by 4.8 m
The projectile launch ratios allow to find the results on the cannonball launch questions are:
a) The canyon is at x = 100 m from the wall.
b) The bullet hits the wall at a height of 4.8 m above the height of the wall.
Projectile launching is an application of kinematics where there is no acceleration on the x-axis and the y-axis is gravity acceleration.
A) Indicate that the initial speed of the bullet is v = 35 m/s with an angle θ=45º, which is the distance from the wall. The target is 25 m behind the wall, in the attachment we have a scheme of the system.
Let's find the range that is the horizontal distance for which the height is zero.
[tex]R = \frac{v_p^2 \ sin \ 2\theta}{g}[/tex]
Let's calculate.
R = [tex]\frac{35^2 \ sin ( 2 45(}{9.8}[/tex]
R = 125 m
Therefore the canonl must be 100 m from the wall.
B) The height of the wall is y = 15m, the blah manages to pass it and by how much.
We use trigonometry to find the components of velocity.
v₀ₓ = v₀ cos θ
[tex]v_{oy}[/tex] = v₀ sin θ
v₀ₓ = 34 cos 45 = 24.7 m / s
[tex]v_{oy}[/tex] = vo sin 45 = 24.7 m / s
Let's find the time it takes for the cannonball to travel the x = 100 m
[tex]v_x = \frac{x}{t} \\ t = \frac{x}{v_x}[/tex]
t = [tex]\frac{100}{35 \ cos 45 }[/tex]
t = 4.04 s
Let's find the height for this time.
y = [tex]v_[oy}[/tex] t - ½ g t²
Let's calculate
y = 24.7 4.04 - ½ 9.8 4.04²
y = 19.8 m
This height is greater than the height of the wall h = 15m, therefore the cannoball passes the wall, by a difference in height.
Δy = y -h
Δy = 19.8-15
Δy = 4.8 m
In conclusion, using the projectile launch ratios we can find the results on the cannonball launch questions are:
a) The canyon is at x = 100 m from the wall.
b) The cannonball hits the wall at a height of 4.8m above the height of the wall.
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Related Questions
A 2300 kg sailboat is moving west at 5.5 m/s when an eastward wind
applies an average force of 950 N to is sail for 11.5 s. What is the speed
and direction of the boat after this force?
Answers
The boat is initially at equilibrium since it seems to start off at a constant speed of 5.5 m/s. If the wind applies a force of 950 N, then it is applying an acceleration a of
950 N = (2300 kg) a
a = (950 N) / (2300 kg)
a ≈ 0.413 m/s²
Take east to be positive and west to be negative, so that the boat has an initial velocity of -5.5 m/s. Then after 11.5 s, the boat will attain a velocity of
v = -5.5 m/s + a (11.5 s)
v = -0.75 m/s
which means the wind slows the boat down to a velocity of 0.75 m/s westward.
In the diagram, sonar is used to locate a sunken ship. If the sonar echo is heard after 3 seconds, how long did it take for the signal to reach the sunken ship? Why?
Answers
Answer:
1.5s
Explanation:
Given parameters:
Time taken for the echo to be heard = 3s
Unknown:
Time taken for signal to reach the ship = ?
Solution:
An echo is phenomenon that originates from wave reflection.
If the travel time of the echo is 3s, the time it takes the echo to reach the ship is half of this time.
So,
Time taken to reach the sunken ship = [tex]\frac{3}{2}[/tex] = 1.5s
1. What is the sum of 5m and 60 cm ?
2. A boy ran 3m and stopped because he was tired, he had 55cm leave to complete the race. What is the totañ distance of the race in m and cm?
3. A drank 600 ml og milk. How much milk did she drink in litre?
4. Convert 7OA of current into KA
5. What us the product of 2mm and 0.5m
6. Convert 6km to cm
Answers
Answer:
1) 560 cm
2) 355cm, 3.55 m
3) .6 liters
4) 0.07 ka
5) 502mm
6) 600,000
Can someone help me or find the answers to this chart please?
Answers
Explanation:
this is too though bro do it by ur self
If the total force on the object is not zero, its motion will
Answers
If two charged objects in a laboratory are brought to a distance of 0.22 meters away from each other. What is
the force between the spheres is 4,550 N and the charge on one object is 9.9×10–5 C
Answers
Answer:
[tex]q_2=2.47\times 10^{-4}\ C[/tex]
Explanation:
The charge on one object, [tex]q_1=9.9\times 10^{-5}\ C[/tex]
The distance between the charges, r = 0.22 m
The force between the charges, F = 4,550 N
Let q₂ is the charge on the other sphere. The electrostatic force between two charges is given by the formula as follows :
[tex]F=\dfrac{kq_1q_2}{r^2}\\\\q_2=\dfrac{Fr^2}{kq_1}\\\\q_2=\dfrac{4550\times (0.22) ^2}{9\times 10^9\times 9.9\times 10^{-5}}\\\\q_2=2.47\times 10^{-4}\ C[/tex]
So, the charge on the other sphere is [tex]2.47\times 10^{-4}\ C[/tex].
For a movie stunt, an empty truck with a mass of 2000 kg goes 10 m/s and runs into a stopped car of mass 1000 kg. The truck then keeps moving and pushes the car along with it.
If there are no other forces acting on this system, which best describes the results of the collision?
The collision is perfectly elastic.
Kinetic energy stays the same.
The momentum after the collision is greater than the momentum before the collision.
The speed of the combined vehicles is less than the initial speed of the truck.
Answers
Answer:
D. The speed of the combined vehicles is less than the initial speed of the truck.
Explanation:
Ik this is late
Answer: D. The speed of the combined vehicles is less than the initial speed of the truck.
Explanation:
A vector quantity is a quantity that has:
A.time and direction
B.magnitude and direction
C.direction only
D.magnitude and time
Answers
Answer:
B
Explanation:
a vector quantity has direction and magnitude
who is isak Njuton??
Answers
Answer:
Sir Isaac Newton was an English mathematician, physicist, astronomer, theologian, and author
Explanation:
but he is most importantly known for having formulated the theory of universal gravity
and for having invented the calculus in the mid to late 1660s
A sailor pulls a crate across the deck of a ship with a rope, exerting a horizontal force of 150. N. The crate, which has a mass of 50.0 kg, accelerates at 0.0600 m/s2.
a. List the forces acting on the crate. Assume the crate is moving slow enough for air resistance to be negligible.
b. What is the net force on the crate? Be sure to include a unit and the correct number of sig figs.
c. What is the magnitude of the friction force acting on the crate? Be sure to include a unit and the correct number of sig figs.
Answers
Answer:
B
Explanation:
as you heat a piece of wood on a fire, the temperature of the wood increases. what does this tell you?
a. the molecules in the wood are vibrating faster
b. the total thermal energy of the wood is decreasing
c. the chemical energy of the wood is increasing
d. the molecules in the wood are vibrating more slowly
Answers
Answer:
A.
Explanation:
I remember this one from my science class.
The molecules in the wood are vibrating faster .
What is Heating?During heating, the temperature of any object or substance increases. This cause the particles to move faster as they gain kinetic energy which leads to an increase in the collision rate as well as diffusion.
Heat is the result of the movement of kinetic energy within a material or an item, or from an energy source to a material or an object. Radiation, conduction, and convection are the three mechanisms through which such energy can be transferred.
The International System of Units (SI) defines the calorie (cal) as the standard unit of heat. The cal measures the amount of energy transfer needed to raise the temperature of one gram of pure liquid water by one degree Celsius, provided that the water is above the freezing point and below the boiling point.
Therefore, The molecules in the wood are vibrating faster .
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Use absolute dating in a sentence
Answers
Answer:
scientists will use absolute dating to find how old a fossil exactly is.
Answer:
So the answer is scientists will use absolute dating to actually find how old a fossil exactly is. Hope it helps!
An object with a mass of 1500kg accelerates 10.0m/s when unknown force is applied to it. What is the amount of force?
Answers
Answer:
The answer is 15000 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 1500 × 10
We have the final answer as
15,000 NHope this helps you
Answer:
15000 N
Explanation:
What must be done to the wires used to make an electromagnet before they are connected
Answers
Answer:
Neatly wrap the wire around the nail
Explanation:
hope this helps ( not sure tho )
Before connecting the wires used to make an electromagnet, several steps are necessary. The steps are removing insulation from wire ends and cleaning and connecting the prepared wire ends.
First, the insulation surrounding the wire ends must be removed using a blade. Next, the exposed ends should be cleaned with a wire brush or sandpaper to eliminate any dirt or oxidation. Depending on the requirements, the wires can be twisted together for a temporary connection or soldered for a more secure joint. Lastly, the prepared wire ends are connected as needed to complete the circuit.
Therefore, these steps ensure that the wires are properly prepared, allowing for effective current flow and the formation of a functional electromagnet.
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Scott was watching the electrician install a new light fixture. Scott noticed that when he was finished, he carefully wrapped some wires with plastic caps and black plastic tape. Select the best explanation of why the electrician would wrap electrical wires with plastic products.
Answers
Answer: The electrician wrapped the wires with plastic caps because plastic is an insulator.
Explanation: Metals are excellent conductors of electricity, largely because electrons in the metal are only loosely bound by their respective atoms and thus will readily flow under the influence of an external electric field. Plastics are very different. All the electrons in plastics are tightly bound by their respective molecules and it would take a lot of energy to remove them. Consequently, most plastics are insulators that do not conduct electric current (or do so only poorly).
Determine the launch speed of a horizontally launched cannonball that lands 26.3
meters from the base of a 19.3 meter high cliff.
Answers
Answer:
The cannon has an initial speed of 13.25 m/s.
Explanation:
The launched cannonball is an example of a projectile. Thus, its launch speed can be determined by the application of the formula;
R = u[tex]\sqrt{\frac{2H}{g} }[/tex]
Where: R is the range of the projectile, u is its initial speed, H is the height of the cliff and g is the gravitaty.
R = 26.3 m, H = 19.3 m, g = 9.8 m/[tex]s^{2}[/tex].
So that:
26.3 = u[tex]\sqrt{\frac{2*19.3}{9.8} }[/tex]
[tex](26.3)^{2}[/tex] = [tex]u^{2}[/tex] x [tex]\frac{38.6}{9.8}[/tex]
691.69 = [tex]u^{2}[/tex] x [tex]\frac{38.6}{9.8}[/tex]
[tex]u^{2}[/tex] = [tex]\frac{691.69*9.8}{38.6}[/tex]
= [tex]\frac{6778.562}{38.6}[/tex]
[tex]u^{2}[/tex] = 175.6104
⇒ u = [tex]\sqrt{175.6104}[/tex]
= 13.2518
u = 13.25 m/s
The initial speed of the cannon is 13.25 m/s.
which of the following is a component of staying positive while competing
Answers
Answer: B - complimenting others on good plays
Explanation: Reading the first words sort of give it away when staying positive you compliment, not criticize, confront angrily, or refuse.
Answer:
B
Explanation:
Edge 2021
Ahorse pulls a 300-kilogram carriage with a force of 4000 Newtons to the right. A frictional force of 2500
Newtons act on the carriage as the horse pulls it. What is the acceleration of the carriage?
Answers
Answer:
4700 because of 20 degree
What are one of the ways the atmosphere recycle gases through interactions with the biosphere?
Through the usage of nitrogen and release oxygen into the atmosphere from plants.
Though the process photosynthesis
O Through available sunlight and release oxygen into the atmosphere.
The mineral content in the ground that plants rely on and release carbon dioxide into the atmosphere.
Answers
Answer:
Though the process photosynthesis
Explanation:
One of the important ways by which the atmosphere recycle gases through interactions with the the biosphere is by photosynthesis.
The biosphere is the living component on the earth. The atmosphere is the gaseous envelope round the earth.
Photosynthesis is the process whereby green plants manufacture their food using carbon dioxide and water in the presence of sunlight to produce glucose and oxygen gas. This way, atmospheric carbon dioxide is exchanged for oxygen gas.This way, there is a sustained interaction between the atmosphere and biosphere.
Answer:
B. Through the process photosynthesis
Explanation:
:)
Which diagram represents a closed circuit with the least resistance?
Answers
Answer:Circuit B is the answer
Explanation:
The diagram B represents a closed circuit with the least resistance. Hence, option (C) is correct.
What is electrical circuit?Electric current travels along a circuit to be transmitted. A battery or generator, a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines make up an electric circuit.
Ohm's law and Kirchhoff's rules are two fundamental laws that quantitatively define how electric circuits function.
In diagram A, there has two external resistance.
In diagram B, there has no external resistance.
In diagram C, there has two external resistance.
In diagram D, there has three external resistance.
Hence, the diagram B represents a closed circuit with the least resistance.
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car moves 5km East,3km south,2km West, 1km north find displacement
(please show me the way)
Answers
Answer:
3.605551275463989
Explanation:
solve using Pythagorean theorem
Can someone plz help me on this, it would me alot to me
thx
Answers
Answer:
its a opinonated question
Explanation:
XD
What is the most abundant gas in the atmosphere?
Group of answer choices
Oxygen
Nitrogen
Carbon Dioxide
Water Vapor
Answers
Answer: Nitrogen
Explanation: Nitrogen makes up 78% of the atmosphere, Oxygen makes up 21%, and Argon 0.9%.
Water vaper makes up between 1-4%, depending on the region.
Carbon Dioxide makes up only about 0.04%.
Answer: The answer is: Nitrogen
Explanation: I have my ways ;>
Match the following. Match the items in the left column to the items in the right column.
1. geology
2. biology
3. molecular clock
4. sediment
5. chemistry
terms
a branch of physical science that focuses on composition, structure, properties and change of matter
dirt, pieces of rock, and the remains of living things at the bottom of oceans, seas, and lakes
a branch of earth science that focuses on the study of the rock
the study of life
a technique for estimating the age of species by comparing molecular differences between species
Answers
Answer:
geology - a branch of earth science that focuses on the study of the rock
biology - study of life
molecular clock - a technique for estimating the age of species by comparing molecular differences between species
sediment - dirt, pieces of rock, and the remains of living things at the bottom of oceans, seas, and lakes
chemistry terms - a branch of physical science that focuses on composition, structure, properties and change of matter
Explanation:
Pretty sure that's all correct. Hope this helps
Who could explain the phenomenom of interference of light?
Answers
Answer:
When the waves reflected from the inner and outer surface combine they will interfere with each other, removing or reinforcing some parts of white light by destructive or constructive interference. ... This results in color.
Explanation:
this is what we studied
so basically there is like a surface
and 2 different waves coming out of the same source
they will combine and start removing parts of the white light (which originally consists of 6 to 7 colors)
results in showing these colors
A subwoofer needs a household voltage of 110 V to push a current of 5.5 A through its coil. What is the resistance of the subwoofer?
Answers
Answer:20Ω
Explanation:
An objects motion changes study island
Answers
Answer:
D
Explanation:
Answer:
D
Explanation:
:p
Because of a frictional force of 2.6 N, a force of 2.8 N must be applied to a
textbook in order to slide it along the surface of a wooden table. The book
accelerates at a rate of 0.11 m/s?.
a. What is the unbalanced force on the book?
b. What is the mass of the book?
Answers
(a) The unbalanced force will be "0.2 N".
(b) The mass of book "1.818 kg".
Unbalanced force and mass:Given:
Applied force = 2.8 NFrictional force = 2.6 NAcceleration = 0.11 m/s²(a) Total unbalanced force,
→ [tex]F_{net} = 2.8-2.6[/tex]
[tex]= 0.2 \ N[/tex]
(b) By applying Newton's second law,
→ [tex]F = ma[/tex]
or,
→ [tex]m = \frac{F_{net}}{a}[/tex]
By substituting the values,
[tex]= \frac{0.2}{0.11}[/tex]
[tex]= 1.818 \ kg[/tex]
Thus the above approach is correct.
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Which two explanations are based on personal beliefs?
I A. Certain mineral crystals have properties that help protect the
body from illness.
IB. A constellation's position in the night sky can be used to predict
events in a person's life.
I C. Medical data gathered over many years show that lack of
adequate sleep causes health problems.
D. Observations using microscopes reveal that all known organisms
are composed of tiny structures called cells.
I E. Data gathered during experiments show that there is an inverse
relationship between the force of gravity and distance.
Answers
Answer:
The correct options are A and B
Explanation:
Personal beliefs can be described as beliefs that have not been scientifically proven. These beliefs are generally as a result of religion, culture or tradition. Scientifically in theory, these beliefs lack clear path of possibility. For example, being in possession of certain mineral crystals in order to help protect the body against illness have a little possibility of being scientifically (in theory) explained. There is also no scientific evidence to support this claim.
There is also no scientific evidence to support the idea of the constellation's position to predict events in a person's life. This also has little possibility of being theoretically explained in science.
It should however be noted that there are exceptions/coincidences that suggest these events happen as it has been listed in the two options.
Answer: A and B!
Explanation: Just took the quiz.
6. What is the name of the symbol A?
What does this symbol mean when
used before another symbol in an
equation?
Answers
"at symbol"
The at sign, "at symbol", is normally read aloud as "at"; it is also commonly called the at symbol or commercial at. It is used as an accounting and invoice abbreviation meaning "at a rate of" (e.g. 7 widgets "at symbol" £2 per widget = £14), but it is now seen more widely in email addresses and social media platform handles.