A trebuchet at ground levels throws a boulder with an initial velocity of 25 m/s at 30 degrees.
What was the magnitude of the final velocity of the boulder before it hit the ground?
a
30 m/s
b
10 m/s
C С
25 m/s
ОООООО
d
20 m/s
e
27.5 m/s
12.5 m/s
Answers
Answer:
The correct option is;
C. 25 m/s
Explanation:
The initial velocity with which the boulder was thrown = 25 m/s
The path in which the boulder projectile moves = 30°
For projectile motion, we have;
The time it takes the boulder to hit the ground is given by the following equation;
y = y₀ + v₀·sin(θ₀)t -¹/₂·g·t²
Where;
y = The height of the boulder
y₀ = The initial height of the boulder = 0
g = The acceleration due to gravity = 9.81 m/s²
When the boulder touches the ground again, the value of y = 0. therefore, we have;
0 = 0 + 25 × sin(30)t -¹/₂ × 9.81 × t²= 12.5·t - 4.905·t²
From which we have, t = 0 or t ≈ 2.55 s
At t = 2.55 s The vertical velocity = v₀sin(θ₀) - g·t = 25 × 0.5 - 9.81×2.55 = -12.5 m/s
The vertical velocity, \(v_y\) = -12.5 m/s
The horizontal velocity, vₓ = v₀·cos(θ₀) = 25×cos(30) ≈ 21.65 m/s
The magnitude of the resultant velocity before, the boulder hits the ground is given as follows
\(\left | v \right |\) = √((vₓ)² + (\(v_y\))²) = √(12.5² + 21.65²) = √625 = 25
The magnitude of the resultant velocity before, the boulder hits the ground is 25 m/c
Related Questions
if the water pressure at a pump station at sea level is 4,000,000 pa, how high can the water be pumped uphill, and how fast will it flow out of a faucet at a washing station at sea level? group of answer choices 408 m; 45 m/s
Answers
At a washing station at sea level, the water is pushed 408 meters uphill and flows out of a faucet at 45 meters per second.
What is the water pump's pressure?According to the needs of the application, the discharge water is pressured. The water is pressurized to 3000psi to 5000psi for cleaning applications. They are extremely highly pressurized in the pressure ranges of 30000psi to 50000psi for cutting purposes. Water that must be pushed in a specific length of time is called a flow rate.
How are water pumps operated?Wastewater or sewage is gathered at a pump station and kept there in a chamber. When the level of collected sewage reaches its maximum, a high-pressure integrated pump is used to lift the sewage through a discharge system.
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Dr. Kirwan is preparing a slide show that he will present to the executive board at tonight's committee meeting. He places a 3.50-cm slide behind a lens of 20.0 cm focal length in the slide projector. A) How far from the lens should the slide be placed in order to shine on a screen 6.00 m away? B) How wide must the screen be to accommodate the projected image?
Answers
Answer:
A) d_o = 20.7 cm
B) h_i = 1.014 m
Explanation:
A) To solve this, we will use the lens equation formula;
1/f = 1/d_o + 1/d_i
Where;
f is focal Length = 20 cm = 0.2
d_o is object distance
d_i is image distance = 6m
1/0.2 = 1/d_o + 1/6
1/d_o = 1/0.2 - 1/6
1/d_o = 4.8333
d_o = 1/4.8333
d_o = 0.207 m
d_o = 20.7 cm
B) to solve this, we will use the magnification equation;
M = h_i/h_o = d_i/d_o
Where;
h_o = 3.5 cm = 0.035 m
d_i = 6 m
d_o = 20.7 cm = 0.207 m
Thus;
h_i = (6/0.207) × 0.035
h_i = 1.014 m
Calculate the force generated by a car that hits the wall at an
acceleration of 4 m/s^2 and has a mass of 45 kg? (INCLUDE UNITS)
Answers
This is a defective question. It was WRITTEN by someone who is unclear on the concepts. DON'T try and answer it.
It's trying to get us to use Newton's second law ... F = m • a.
But that only tells us how much force must act ON THE CAR in order to accelerate it. (45 kg) • (4 m/s^2) = 180 newtons.
This is NOT the force exerted BY the car when it hits something. THAT force depends on its speed WHEN it hits, AND how long it takes for the wreckage to actually come to rest, AND how hard or soft the wall is.
DON'T try to answer this question. Your answer will be wrong, you won't understand why, and the teacher you try to argue with probably won't either.
============================================
More explanation:
Think about jumping off of a ladder in your back yard. Several times.
Your mass is the same every time. Your acceleration is the same every time . . . 9.8 m/s² down, the acceleration of Earth gravity, every time.
BUT ...
-- I'll bet you would rather land on wood than on concrete. The force of landing would be less.
-- I'll bet you would rather land on dirt than on wood. The force of landing would be less.
-- I'll bet you would rather land on grass than on dirt. The force of landing would be less.
-- I'll bet you would rather land on a pile of blankets than on dirt. The force of landing would be less.
-- I'll bet you would rather land on a trampoline than on a pile of blankets. The force of landing would be less.
-- I'll bet you would rather jump from a short ladder than from a tall one. Your speed would be less when you landed, and the force of landing would be less.
==> Your mass is the SAME every time, and your acceleration is the SAME every time. But the force when you hit is DIFFERENT every time.
The mass and acceleration of the car DON'T tell us the force of the hit when the car hits a wall.
When we use an analogy that represents the expanding universe with the surface of an expanding balloon, what does the inside of the balloon represent?
Answers
Answer: When we use an analogy that represents the expanding universe with the surface of an expanding balloon, what does the inside of the balloon represent? The inside of the balloon does not represent any part of our universe.
you have an open tube that is 1.7m long what is the fundemental frequency and wavelength of the tube
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Derive an Expression for elastic potential energy of a spring
Answers
Answer:
spring force = -K × x , where X is elongation or compression in the spring. ( -) sigh shows that the spring force is opposite to the applied force to cause extension.
Potential energy = work done by spring force = integration of Force.
integrate the force (-K × x) over distance 0 to x .
U = 1/2 K × X^2 ( for elongation)
U = -1/2 × K × X^2 ( for compression)
A horse pulls a wagon with a force of 200 N for a distance of 80 m. How much work
does the horse do?
Answers
Answer:
w=f×s
w = 16000 J, hope this helps
A balance between gravity and bouyancy is called
Answers
Answer:
I believe it is isostasy
Explanation:
which statement identifies a reason to preserves wetlands
Answers
Answer:
They store floodwater
Explanation:
after 20 rounds of amplification how many copies of the amplified region should you have theoretically? answer to 3sf
Answers
After 20 rounds of amplification through the polymerase chain reaction (PCR), the number of copies of the amplified region should theoretically be \(2^{20\), which is 1,048,576.
This is because PCR is an exponential process where each round of amplification doubles the number of copies of the target DNA region. Therefore, the number of copies after 1 round of amplification is 2, after 2 rounds it is 4, after 3 rounds it is 8, and so on.
To calculate the number of copies after 20 rounds of amplification, we use the formula 2^n, where n is the number of amplification cycles. In this case, n = 20, so \(2^{20\) = 1,048,576 copies.
It is important to note that this is a theoretical maximum and assumes 100% efficiency in each round of amplification. In reality, there may be some loss of DNA during the PCR process, and other factors such as contamination or suboptimal reaction conditions can also affect the final yield. Therefore, the actual number of copies obtained may be slightly lower than the theoretical maximum.
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At first, right after the Big Bang, the universe was too hot for nuclei and electrons to combine into the kinds of neutral atoms that are familiar to us today. How soon after the beginning did it become cool enough for neutral atoms to form
Answers
After the Big Bang, it took the universe 3 minutes to become cool enough for neutral atoms to form.
Time taken for the universe to cool after the Big Bang
During the first moment, immediately after the Big Bang, the universe was too hot for nuclei and electrons to combine into the kinds of neutral atoms that are familiar to us today.
In the first three minutes after the Big Bang, these protons and neutrons began fusing together, forming deuterium also known as heavy hydrogen.
Thus, after the Big Bang, it took the universe 3 minutes to become cool enough for neutral atoms to form.
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what type of wiring should be used for a high-speed connection between two buildings?
Answers
For a high-speed connection between two buildings, the type of wiring that should be used is fiber optic cable. Fiber optic cable is the most reliable and efficient way to transmit data over long distances at high speeds.
It uses light to transmit data instead of electrical signals, which means it is not affected by electromagnetic interference that can cause interruptions in transmission.
Fiber optic cable also has a much higher bandwidth than traditional copper wiring, which means it can handle more data at once. This is especially important for businesses that need to transfer large files or stream video across their network.
When installing fiber optic cable between two buildings, it is important to consider factors such as distance, the amount of data that will be transmitted, and the required level of security. A professional installer should be consulted to ensure that the cable is installed correctly and meets the specific needs of the business.
Overall, fiber optic cable is the best choice for a high-speed connection between two buildings due to its reliability, efficiency, and high bandwidth.
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A 2.0-μF capacitor is charged to 12V and then discharged through a 4.0 × 10^6 Ωresistor. How long will it take for the voltage across the capacitor to drop to 3.0 V?Question 10 answersa. 22 sb. 8.0sc. 11 sd. 24 s
Answers
It will take (C) 11 s for the voltage across the capacitor to fall to 3.0 V.
We are given that,
t = time in seconds = ?
R = resistance= 4.0 × 10⁶ ohms.
C = Capacitance = 2.0 μF
The following formula can be used to determine how long it takes for a capacitor to discharge through a resistor:
t = RCln(Vi/Vf).
t = time in seconds,
R is the resistance in ohms.
Capacity in farads is given by C. Vi is the capacitor's initial voltage across it in volts. Vf is the capacitor's final voltage across it in volts.
By entering the specified values, we obtain:
t = (4.0 106), (2.0 10 6F),*ln(12 V / 3.0 V)
t = 11 sec (rounded to the nearest whole number)
The voltage across the capacitor will therefore not reach 3.0 V for about 11 seconds. According to this formula, the discharge will occur through a series circuit that merely has a resistor and a capacitor.
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A 2. 9 kg model rocket accelerates at 15. 3 m/s2 with a force of 44 N. Before launch, the model rocket was not moving. After the solid rocket engine ignited, hot gases were pushed out from the rocket engine nozzle and propelled the rocket toward the sky. Which of Newton’s laws apply in this example? Select three options. The first law the second law the third law the fourth law the fifth law.
Answers
Answer:
The first law: the law of Inertia.
Explanation:
Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Answer:
1st, 2nd, & 3rd law
Explanation:
there is no 5th/4th law ppl
I did this question and it says SELECT 3 OPTIONS not 1 (This answer isn’t meant to be rude but just stating what the question says.)
where is the world's most powerful particle accelerator located
Answers
The world's most powerful particle accelerator is the Large Hadron Collider (LHC), and it is located at the European Organization for Nuclear Research (CERN) in Geneva, Switzerland.
The LHC was first switched on in 2008 and is designed to accelerate subatomic particles to almost the speed of light and collide them together. This process allows scientists to study the fundamental structure of matter and the origins of the universe. The LHC consists of a 27-kilometer-long ring of superconducting magnets, which are used to guide and accelerate the particles, as well as four main detectors that measure the resulting collisions. The LHC has made many groundbreaking discoveries since its creation, including the discovery of the Higgs boson in 2012, and continues to be an important tool for scientists to explore the mysteries of the universe.
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please give me answer of this question and I will mark you as brainliest
Answers
Answer:
Maharashtra - mashru or himroo / dhoti and lugda
Gujarat - patola / ghagra choli
Punjab - pat / kurta and pajama
Odisha - ikat / Sadi
West Bengal - tossa / kurta
Karnataka - Mysore silk / mundu
Two train cars with the same mass (30,000 kg) are traveling in the same direction when they collide.
Train Car A has a velocity of 10 m/s and Train Car B has a velocity of 5 m/s. What is their total
momentum after the collision? Make sure to show all your work and include proper units.
Answers
Answer:
25
Explanation:
I just did this
light of wavelength 695 nm enters a slab of glass (п=1.50). a. what is the frequency of the light in the air (n=1.00)?
Answers
The frequency of the light in the air is the same as in the glass, which is determined by the wavelength and not affected by the refractive index.
How to find frequency of light?The frequency of light remains constant as it passes from one medium to another. Therefore, the frequency of the light in the air (n=1.00) is the same as the frequency of the light in the glass (n=1.50).
However, the wavelength of the light changes as it passes from one medium to another. The relationship between the wavelength of the light in air (λ_air) and the wavelength of the light in the glass (λ_glass) is given by:
n_air * λ_air = n_glass * λ_glass
where n_air and n_glass are the refractive indices of air and glass, respectively.
Substituting the values given:
1.00 * λ_air = 1.50 * 695 nm
λ_air = (1.50 * 695 nm) / 1.00
λ_air = 1042.5 nm
Therefore, the wavelength of the light in air is 1042.5 nm, and the frequency remains the same as it was in the glass.
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During the combination of copper sulfate solution and zinc metal, 5 atoms of sulfate and 1 atom of copper interact with 1 atom of zinc, resulting in new products after the reaction. How many atoms are there before and after the reaction? Choose the letter of the correct answer.
A
before: 7 atoms; after: 5 atoms
B
before: 7 atoms; after: 6 atoms
C
before: 7 atoms; after: 0 atoms
D
before: 7 atoms; after: 7 atoms
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the bose? (The weightidensty of water is 62.4 pounds per outec foct.) 7f−lb [0/1 Points] LARCALCET7 7. 5,027Mi
Answers
The weight density of water is 62.4 pounds per cubic foot. This value is used to determine the weight of water based on its volume.
The weight density of a substance is a measure of how much weight it has per unit volume. In the case of water, its weight density is 62.4 pounds per cubic foot. This means that for every cubic foot of water, it will weigh 62.4 pounds.
Weight density is an important concept in various fields, such as engineering, construction, and fluid mechanics. It allows us to calculate the weight of water in different scenarios. For example, if we have a tank with a known volume of water, we can use the weight density to determine the total weight of the water in the tank. Similarly, if we know the weight of water in a container, we can calculate its volume by dividing the weight by the weight density.
Understanding the weight density of water is crucial for various practical applications. It helps in designing structures that involve water, such as dams, reservoirs, and pipes, as it provides insights into the forces exerted by the water. Additionally, it is also relevant in fields like hydrology and environmental science, where accurate measurements of water weight are necessary for calculations and analysis.
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A car advertisement claims their car can go from a stopped position to 60 miles per hour in 5 seconds. The advertisement is describing the
car’s
Answers
Answer:
Acceleration
Explanation:
The advertisement is describing the acceleration of the car.
Acceleration is the rate of change of velocity per unit of time. It can be expressed mathematically as;
Acceleration = \(\frac{v - u}{t}\)
v is the final velocity
u is the initial velocity
t is the time taken
Any quantity that specifies the rate of change of velocity of a body within a given time frame is describing its acceleration.
Given a circuit with a DC battery of voltage 30.0 volts connected to a single resistor of resistance 10.0 ohms. Which of these is the current through the resistor in SI units?A)12B)18C)3D)0.333E)15
Answers
We will determine the current as follows:
First, we remember that:
\(I=\frac{V}{R}\)So:
\(I=\frac{30.0V}{10.0\Omega}\Rightarrow I=3A\)So, the current is 3 Amps.
What force do you need to accelerate a car at 5m/s2 that has a mass of 3,000kg?
Answers
The force needed to accelerate a car at 5 m / s² that has a mass of 3,000 kg is 15 KN
F = m a
F = Force
m = Mass
a = Acceleration
m = 3000 kg
a = 5 m / s²
F = 3000 * 5
F = 15000 N
F = 15 KN
According to Newton's second law of motion, the force is equal to the rate of change of momentum of the object.
Therefore, the acceleration of the car is 15 KN
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Which of these can help determine air pressure? Select the two correct answers.(1 point)a. wind speed of the airb. moisture in the airc. temperature of the aird. cloud patterns in the air
Answers
The two appropriate factors that can assist in determining air pressure are wind, speed and air temperature. The appropriate choices are A) and C).
Everything you touch is pressed upon by the weighty air that surrounds you. The term air pressure or atmospheric pressure is used to describe this pressure. When a surface is being pulled toward Earth by gravity, air above the surface exerts a force on it. It is common practise to measure atmospheric pressure using a barometer.
Because air pressure is determined by the quantity of molecules above a surface, this is the case. It's interesting to note that as the number of molecules grow, more pressure is applied to a surface, increasing the overall air pressure. In contrast, when the number of molecules falls, the air pressure rises.
The average kinetic energy of the gas's molecules directly relates to its temperature. Faster moving particles will more frequently and violently hit with the container walls.
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How is a scientific theory different from a scientific law?
Answers
Scientific theory is a well-supported explanation of an occurrence of a natural phenomenon. Scientific law is a description of a natural phenomenon that is always observed to occur under specific circumstances.
Explanation:
how to tell how much work gravity does on something?
Answers
DC current is less than AC current
true\false
Answers
Answer:
False
Explanation:
.......................
Hope this help you
What is one property of a wave that determines how much it will diffract
when it encounters an obstacle? *
O frequency
O period
O amplitude
O wavelength
Answers
13. Explain whether the following answers are reasonable or not. Check the magnitude, the units, and the
direction. You DO NOT have to solve the problems yourself.
a) A car speeds up as it enters the freeway. It accelerates at 5.4 m/s? What was the car's final speed?
ANSWER: 6.3 m/s forward
I
Answers
In a parallel circuit, the current through any resistor is directly proportional to the value of that resistor. True or False.
Answers
False. In a parallel circuit, the current through each resistor is not directly proportional to the value of that resistor. Instead, the current through each resistor is inversely proportional to the value of the resistor. This means that as the resistance of a resistor increases, the current through it decreases, and vice versa.
In a parallel circuit, the voltage across each resistor is the same, but the current flowing through each resistor can be different. This is because each resistor provides a different path for the flow of electricity. The total current flowing into the parallel circuit is divided among the different resistors according to their individual resistance values.
In summary, in a parallel circuit, the current through each resistor is inversely proportional to its value. This is because the total current flowing into the parallel circuit is divided among the different resistors according to their individual resistance values, and the voltage across each resistor is the same.
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