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 1

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, [tex]v_y[/tex] =  -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

[tex]\left | v \right |[/tex] = √((vₓ)² + ([tex]v_y[/tex])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

NEED HELP ASAP!!!

If 100 newtons of force are applied over a distance of 50 meters for 5 seconds, how much power is used
2,500 watts
1,000 joules
10 watts
1,000 watts

Answers

Answer:

2,500 watts

Explanation:

I got this answer right on a test. I hope it works for you to.

Answer:

2500 wats

Explanation:

"As long as the baseball I hit is
moving upward, there is no air resistance. Air resistance only slows it down when it is falling downward."

Answers

Answer:

Air resistance is always in play so it always has air resitance no matter what.

Is silicone a better conductor then silver

Answers

Answer: Silicon is better

Hope it helps!!

does changing position of charges change the magnitude

Answers

Answer:

No, they will not change.

Explanation:

A car pulling out of a gas station accelerates from rest at a constant rate it covers 1200 meters in 30 seconds. What is the rate of acceleration

Answers

The car accelerates at 40 meters per second.

from the list below, which athlete would need to focus on cardiovascular endurance?

A. Body Builder

B. Baseball Player

C. Marathon Runner

D. Bowler ​

Answers

Answer:

A. body builder

Explanation:

An object dropped from rest and falls a distance of 80 m.
What is the objects displacement

Answers

Answer:

Δx = -80m

Explanation:

The object's displacement is -80m because it landed 80m below where it started.

Please fast ?????????

Answers

Answer:

Explanation:

Kinetic

Which two options would increase the electric force between two charged
particles?
O A. Increase the distance between the particles.
B. Increase the charge of one of the particles.
C. Decrease the charge of both particles.
O
D. Decrease the charge of one of the particles,
O E. Decrease the distance between the particles,

Answers

The two options would increase the electric force between two charged

particles is

E. decrease the distance between particles.

B. Increase the charge of one of the particles.

What is Electric force?

The attractive or repulsive interaction that lies between any two charged objects should be called as the electric force.

When the distance between the particles is decreased and the charge of one particles should be increased so it increased the electric force.

hence, option b and option e are correct.

Learn more about electric force here: https://brainly.com/question/17562167

An egg is dropped from the top of the band hall. If the band hall is 25 m
tall, determine the time it takes the egg to hit the ground.

Answers

Answer:

2.26s

Explanation:

The time it takes for the egg to hit the ground can be calculated using the formula:

S = ut + 1/2at²

Where; S = distance of handball from ground (m)

t = time (s)

a = acceleration due to gravity (9.8m/s²)

u = initial velocity = 0m/s

Inserting our values into the formula, we have:

25 = (0 × t) + 1/2 (9.8 × t²)

25 = 0 + 9.8t²/2

25 = 9.8t²/2

25 × 2 = 9.8t²

50 = 9.8t²

t² = 50/9.8

t² = 5.102

t = √5.102

t = 2.258

t = 2.26s

Researchers interested in studying stress gave 150 high school seniors a very difficult math exam. After the test, the researchers measured stress by examining physiological changes with extensive medical testing that included drawing blood samples. When the test was over, they shared the results with the students, but did not publish individual data. Explain whether or not this study conforms to each of the ethical standards: Informed Consent, Debriefing, Confidentiality, and Protection from harm.

Answers

Answer:

Informed Consent- The study didn't conform this ethical standard.

Debriefing- The study conforms this ethical standard.

Confidentiality- The study conforms this ethical standard.

Protection from harm- The study conforms this ethical standard.

Explanation:

Informed consent is described as a procedure whereby researchers tend to provide details about specific research they are going to conduct, the risk & benefits involved in the study, different alternatives involved in the procedure, etc.

Debriefing is described as a process that is being conducted in any of the different psychological research encompassing human participants after specific research is completed. The researcher tends to describe the details of the research to the participants.

Confidentiality is described as one of the different code of ethics followed by health workers or psychologists. While practicing confidentiality, a psychologist tends to promise his or her participants that he or she will keep everything a secret whatever is being discussed or shared between both of them.

Protection from harm determines that the psychologists conducting research follows the ethics in which he or she has to protect all the participants from any kind of harm.

Answer:

I think its A

Explanation:

HEY can anyone tell me the Atomic Mass of Neon and also what ever the number u get pls round it!!

Answers

Answer:

20.1797 u

Explanation:

Answer:

Hey!

Your answer is that the ATOMIC MASS of Neon is 20.18 to 2 decimal places!

Explanation:

The other way is to round it to the next whole number, which is 20...

You can pick between the two as they are both correctly rounded!

The EXACT number is 20.1797.

I HOPE THIS HELPED YOU! :D

What is the kinetic energy of a baseball traveling at a 25 mi./s with a mass of 0.56KG

Answers

Answer:

453.25 MJ

Explanation:

The formula to find kinetic energy is :

[tex]E_{k} = \frac{1}{2} X m X v^{2}[/tex]

E.k = ?

m = 0.56kg

v = 25mi./s which needs to be converted into metres per second

1mi./s= 1609.34m/s

25 mi./s = 40233.6 m/s.

E.k. = 0.5 × 0.56 × 40233.6²

e.k = 453247919.3J

E.k.= 453.25 MJ

How to work out Initial volume Boyle’s law

Answers

Answer:if i know ill tell u

Explanation:

. Exercises that specifically prepare the muscles for active movements

Answers

Answer:

Dynamic Stretching

Explanation:

Dynamic Stretching: Dynamic stretches are controlled movements that prepare your muscles, ligaments and other soft tissues for performance and safety.

Answer:

Stretching such as toe touches

A ball is projected horizontally from the top of a cliff and free falls to the ground.
Which one of the following statements accurately describes the ball's motion?

Answers

They will both land at the same time.

Which of the following forces does NOT act on an object sliding down an incline plane?

A. force of tension
B. force of gravity
C. normal force
D. force of friction

Answers

A.Force of tensión is the answer

Answer:

d

Explanation:

force of friction.

Which object has potential energy but not kinetic energy

A. A battery in a pair of headphons
B. A car Slowing down
C. A person Climbing a ladder
D.a person riding an elevator upward

Answers

Answer:

A battery in a pair of headphons

Explanation:

Answer: A

Explanation:

All living things are made of one or more cells.
True
False

Answers

false because their are single cell organisms

Answer:

the correct answer is false

An object accelerates from rest to a velocity of 34 m/s
over a distance of 70 m. What was its acceleration?

Answers

Answer:

6.8m/s²

Explanation:

Given parameters:

Initial velocity = 0m/s

Final velocity  = 34m/s

Distance  = 70m

Unknown:

To solve this problem we apply one of the motion equations;

     V²   = U² + 2aS

where V is the final velocity

           U is the initial velocity

           a is the acceleration

         S is the distance covered

Input the parameters and solve;

   34² = 0² + 2 x a x 70

  34² = 140a

   a  = 6.8m/s²


A container of rocks is brought back from the Moon's surface where the acceleration due to gravity is 162 meters per second if the total mass of the container of rocks is 650 kilograms, what is its weight on
Earth's surface

Answers

Answer:

6318 N

Explanation:

From the question given above, the following data were obtained:

Acceleration due to gravity of the moon (gₘ) = 1.62 m/s²

Mass (m) of container = 650 kg

Weight (W) of container on the earth =.?

Next, we shall determine the acceleration due to gravity of the earth. This can be obtained as follow:

Acceleration due to gravity of the moon (gₘ) = 1.62 m/s²

Acceleration due to gravity of the earth (gₑ) =.?

gₘ = 1/6 × gₑ

1.62 = 1/6 × gₑ

1.62 = gₑ /6

Cross multiply

gₑ = 1.62 × 6

gₑ = 9.72 m/s²

Finally, we shall determine the weight of the container on the earth as follow:

Mass (m) of container = 650 kg

Acceleration due to gravity of the earth (gₑ) = 9.72 m/s²

Weight (W) of container on the earth =.?

W = m × gₑ

W = 650 × 9.72

W = 6318 N

Therefore, the weight of the container on earth is 6318 N

What is special about decomposers? *

a. they are autotrophs that absorb nutrients that have been digested outside their bodies.
b. they are heterotrophs that absorb nutrients that have been digested outside their bodies.
c. they are autotrophs that digest food internally (inside their bodies)
d. they are heterotrophs that digest food internally (inside their bodies)

Answers

D. They are heterotrophs that digest food internally.

a motorcycle stunt driver rides his motorcycle off a small ledge that is 8.4m high his initial velocity as he rides off the ledge is 25m/s in the horizontal direction how long does it take before he lands on the ground. answer= 1.3 s

Answers

Answer:

1.3s

Explanation:

What is a scientific theory?

Answers

Answer:

Scientific theories are explanations of some aspect of the natural world based on repeated observations.

Hope this helps!!!!

Answer:

The way that scientists use the word 'theory' is a little different than how it is commonly used in the lay public," said Jaime Tanner, a professor of biology at Marlboro College. "Most people use the word 'theory' to mean an idea or hunch that someone has, but in science the word 'theory' refers to the way that we interpret facts.

Explanation:

any two masses will be

Answers

Answer:

Explanation:

What???

Which of the following is not a force? *
gravity
friction
tension
acceleration

Answers

Answer:

tension

Explanation:

its a feeling

A constant net force acts on an object. Describe the motion of the object
a) constant acceleration
B) constant speed
C) constant velocity
D) increasing acceleration

Answers

Answer:

The answer is A if it was right give it the brainiest

The graph below shows the speed of a car as it drives along a racetrack.





a. When does the car have the highest velocity?

Answers

Answer:

...

Explanation:

....

Two teams of girls are having a hug of war and neither side is winning. Each of the four girls on the west team is pulling with a force of 250. N. Three of the four girls on the east team are pulling with a force of 260 N each. With what force is the fourth girl on the east pulling.

Answers

Answer:

220N

Explanation:

Given that the first time has 4 girls

each girl pull at 250N, therefore the total force

250X4= 1000N

For the second team, the three girls out of the four pulls at 260N each,

let the fourth girl pulls at xN

the total force is 3X260+x

=780+x

we know that the total force on the west must equal the total force on the east

so

1000=780+x

solving for x we have

x=1000-780

x=220N

Therefore the fourth girl on the second team pulls at 220N

Jupiter’s moon, Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10-3 AU from Jupiter’s center. A second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. How far away is Callisto from the center of Jupiter?

Answers

Answer:

0.0124 AU

Explanation:

Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10⁻³ AU from Jupiter’s center.

We need to find how far away is Callisto from the center of Jupiter if a second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. Let it is r₂. Using third law of Kepler.

[tex]T^2\propto r^3[/tex]

i.e.

[tex](\dfrac{T_1}{T_2})^2=(\dfrac{r_1}{r_2})^3\\\\\dfrac{r_1}{r_2}=(\dfrac{T_1}{T_2})^{2/3}\\\\r_2=\dfrac{r_1}{(\dfrac{T_1}{T_2})^{2/3}}\\\\r_2=\dfrac{7.1\times 10^{-3}}{(\dfrac{7.15}{16.69})^{2/3}}\\\\r_2=0.0124\ \text{AU}[/tex]

So, Callisto is 0.0124 AU from the center of the Jupiter.

Other Questions
How did Christopher Columbus's voyage impact Texas?Columbus established the Spanish influence in the Americas.Columbus was the first explorer in Texas.Columbus led expeditions to settle areas in Texas.Columbus brought cattle and agriculture to Texas.HELP ME NOW ASAP Simplify 1/4 (15-6) + 3^3 divided by 12 WILL MARK BRAINLIEST!! So I was doing a hooda math escape game, and forgot how to do these. Can you help me? Identify the phrase that relates to the study of geography. A. a record of events over time and their meaningsB. the effect living and nonliving things have on each otherC. the creation and use of goods and servicesD. the study of rocks and fossils Choose the word to make the sentence true. The ____ function is used to display the program's output.O inputO outputO display Which of the following would not be considered a work of literary merit thatwould appear on the AP Literature and Composition Exam, or one that couldbe used in answering an exam question?A. A play made for televisionB. A short storyC. A 19th century novelD. A theater playE. An epic PLZ HELP ASAP!!!! In a recent survey, 62 students out of 100 choose corn as their favorite lunch item. If Washington has 3,800 students, how many students atWashington would say corn is their favorite? As an incentive for customers to pay their accounts promptly, a business may offer its customers: a. a sales return. b. a sales discount. c. a sales allowance. d. free delivery. What does the author of the "Equal Pay Bill" letter think women should be doing? A. Staying home with their children B. Getting an education to improve their career options C. At work earning as much money as men D. Becoming a larger political presence Explain colonial moral as it relates to the topic.(state your claim and support the claim with factual evidence.) Which was true of the bubonic plague? Find the simple interest earned after 12 years on $1,350 at an interest rate of 8%. Excerpt from Video Games-Play OnZachary Felton-Video games pull players into worlds they could never imagine. In these worlds, playersbecome top athletes, animated characters, alien commanders, and so on. So, if video gamesuse so much imagination, why do people look down on them? News reports today often talkabout the bad effects of video games. For example, some blame video games for makingchildren more violent. Others blame them for causing children to sit in front of thetelevision instead of get exercise. While such claims may hold some truth, not all videogames are bad. In fact, some actually have great benefitsWhat is the MOST LIKELY purpose of the first paragraph of the Felton passage?es -)A)to downplay common arguments against video gamesB)to describe some of the most popular video gamesto explain the link between violence and video gamesD)to introduce the main benefits of playing video games How did the Islamic Empire Achievements impact the world? How did the Moon form? Please help!!!! I will give brainliest!!!!! In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.P (win) = A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.Answer: $A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.Answer: $ After reading the excerpt from Plato's Republic what is the initial premise or definition explored for the nature of justice? USE DIRECT QUOTES/TEXT EVIDENCE to support your answer.How does Socrates use analogies in this excerpt? What purpose do they serve?How does the dialogue ultimately prove illogical the notion "Justice is doing good to one's friends and harm to one's enemies" PARTAHolden's mother gives him a wad of cash to spend on Christmas presents.TrueBFalse write 8/16 in fully reduced fraction