How long will it take a shell fired from a cliff at an initial velocity of 800 m/s at an angle 30 degrees below the horizontal to reach the ground 150m below?

Answers

Answer 1
0.373 seconds. First, calculate the initial vertical velocity of the shell. 800sin(30) = 800*0.5 = 400 m/s Now the formula for the distance traveled is d = 400 m/s * T + 0.5A T^2 Substituting known values gives. 150 = 400 m/s * T + 0.5*9.80m/s^2 T^2 150 = 400 m/s * T + 4.9 m/s^2 T^2 Arrange as a quadratic formula 0 = 400 m/s * T + 4.9 m/s^2 T^2 - 150 4.9 m/s^2 T^2 + 400 m/s * T - 150 = 0 Now solve for T using the quadratic formula with a=4.9, b=400, and c=-150 The calculated value is 0.373 seconds. Is this value reasonable? Let's check. The initial downward velocity is 400 m/s. So 150/400 = 0.375 seconds. Since the actual time will be a bit less due to acceleration by gravity and since the total time is so short, there won't be much acceleration due to gravity, the value of 0.373 is quite reasonable.
Answer 2

The shell will take about 0.34 seconds to reach the ground.

Step 1

T is given as 800 m/s. The factors that would impact time are gravity and angle.

The factor of gravity (g) is a constant given as = 9.81. Any object on earth will accelerate at the speed of 9.81 meters per second if they are in a free fall.

Hence, T = 800Sin(30°) / g = 800 * 0.5

This is equals   400/9.81 = 40.773 or 40.78 seconds.

Step 2

Given that the vertical velocity of the shell is zero because it is accelerating at an angle towards the earth, it will rise at an average speed that can be computed as:

1/2 (800sin30°) = 1/2 * 400 = 200m/s for Tsec and arise of H which is 8,156m.

Step 3

The shell having risen falls from rest at the height given above.

S therefore,  = 150 +H, that is 150 + 8,156m. This is equals to 8,306m.

Step 4

Next, we compute for the Kinematics equation of distance in relation to time (t) where the initial speed is 0.

S = 1/2(gt)²

thus 8,306 = 0.5 * 9.81*t² with elementary cross multiplication and the  and the squaring of both sides, we have

t = [tex]\sqrt{1693}[/tex]

t= 41.14608 which is approximately 41.12 seconds.

Because the time taken for the shell to rise and then to fall to the ground is the sum of T and t. the time taken to fall or the time taken for the shell to travel towards to the ground is:

t - T = 41.12 - 40.78

= 0.34 seconds

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Related Questions

A researcher wants to find out the values and opinions of a group of high school freshmen. What is the best method to use?

Take a survey.
Conduct a case study.
Design an experiment.
Prepare a longitudinal study.

Answers

The answer is either A or C more likely A. Take a survey.

I hope this helps

Yes the answer is A


Answer: A


a ball rolls 6.0 meters as its speed changes from 15 meters per second to 10 meters per second. whaf is the average speed of the ball as it rolls the 10 meters?

Answers

Final answer:

The average speed of the ball as it rolls 10 meters is 8.33 meters per second.

Explanation:

The average speed of the ball as it rolls the 10 meters can be found by dividing the total distance traveled by the total time taken. In this case, the ball rolls 6.0 meters while its speed changes from 15 meters per second to 10 meters per second. The time taken to roll this distance can be calculated by using the formula:



Time = Distance / Speed



Substituting the given values:



Time = 6.0 meters / (15 meters per second - 10 meters per second) = 6.0 meters / 5 meters per second = 1.2 seconds



The average speed of the ball is therefore 10 meters / 1.2 seconds = 8.33 meters per second.

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The variable that the experimenter decides to change to see if there is or is not an effect is the Independent Variable.

True
False

Answers

The correct answer is:  [A]:  "TRUE" .
_________________________________________________

A passenger at the rear of a train traveling at 15 m/s relative to earth throws a baseball with a speed of 15 m/s in the direction opposite the motion of the train. what is the velocity of the baseball relative to the earth as it leaves the thrower’s hand?

Answers

Relative to the earth, the trains' speed is 15 m/s.
Relative to the train, the ball's speed is -15 m/s.

Therefore, relative to earth, the ball's speed is
15 - 15 = 0

Answer: 0

Answer:

0

Explanation:

What particles are responsible for nearly all the mass of an atom?

Answers

Protons and Neutrons. Protons and neutrons represent the vast majority of an atom's mass. These subatomic particles are found in the core (nucleus) of the atom where they form nucleons.

How many moons does planet Neptune have

Answers

The answer to this question is:

How many moons does planet Neptune have

"Neptune got exacally 14 Moons"

Hoped This Helped January4
Your Welcome :) 

Neptune is eighth the farthest planet from the Sun. It is about 2.8 billion miles (4.5 billion km) away. Neptune appears to look blue because of the gas in its atmosphere. Neptune has at least 14 known moons. Triton is Neptune's largest moon. Triton has volcano-like eruptions that burst from openings in the surface.

Explain how newton's first law of motion can be considered to be a consequence of newton's second law.

Answers

I think it is oh never mind it was six days ago

An element like silicon is not usually used to make wires or pans because it _____. is not solid at room temperature can leave behind traces of radioactivity Is not very abundantly found on Earth is not good conductors of electricity or heat

Answers

Because it is not a good conductor of heat. so the answer is D.
the answer would be D.

A mosquito flies toward you with a velocity of 2.4 km/h [E]. If a distance of 35.0 m separates you and the mosquito initially, at what point (distance and time) will the mosquito hit your sunglasses if you are travelling toward the mosquito with a speed of 2.0 m/s and the mosquito is travelling in a straight path?

Answers

First convert the speed of mosquito to m/s:

So the mosquito is flying at (2,400/3,600) m/s, or ⅔ m/s. 



Since you are moving at 2m/s, so this makes the closing velocity between you and the mosquito to be 2⅔ m/s. 

Therefore the mosquito will hit your sunglasses at:

35 m / (2⅔ m/s) = 13⅛ seconds. 

2.0 m/s * 13⅛ s = 26¼ m from your initial position. 

⅔ m/s * 13⅛ s = 8¾ m from the mosquito's initial position. 

A skipper on a boat notices wave crests passing his anchor chain every 10 s. he estimates the distance between wave crests to be 15 m. he also correctly estimates the speed of the waves. what is this speed?

Answers

15 m that would be the corect answer hope this helps

What did galileo discover in his legendary experiment on the leaning tower of pisa?

Answers

Galileo reportedly dropped two balls of different mass from the Leaning Tower of Piza to prove that the time it took each to hit the ground was not dependent on the mass. Assuming two objects have a similar amount of drag during free fall, it will not matter whether one object is substantially more massive than the other object, they will fall at the same rate because gravity pulls on all objects at the same rate given that the objects are at similar distances from the object (Earth in this case) attracting them.

Why must scientists often deal with politics?

Answers

Science provides us with facts.But what we do with these facts is political. We have scientific data on pollution and we know that Pollution is harmful for people. But the decision on what to do in response to the the data is political. What research the scientists do or rather they won't do is again based on political decisions too.This is because certain researches may lead to increase in knowledge but at the same time they may be harmful as well.eg. decisions on protecting patients from unethical experimentation.These ethical decisions sometimes change with elections. The scientific researches require funding from Government and funding allocations are made by politicians. Deciding what science we find valuable is not a scientific decision but a political one. To conclude, we may say, science and politics are closely related. When we say science is the pursuit of knowledge, we know knowledge is power and we also must know that power is Politics.

Answer:Governments can pass laws about scientific research

Explanation:

A particular molecule has two hydrogen atoms and two oxygen atoms. How do you know that this is not a molecule of water?

Answers

It is not a molecule of water because h2o has 2 hydrogen and 1 oxygen

hope this helps

a bird flies north with a force of 11N, the air resistance is 2N.show the vectordiagram, with the magnitude and displacement indicated clearly.

Answers

Final answer:

This problem involves a bird flying with a force of 11N against an air resistance of 2N. In the vector diagram, the bird's force is represented as an upward arrow of length 11, and the air resistance as a downward arrow of length 2. The net force is 9N, represented by an upward arrow of length 9, which indicates the direction and strength of the bird's motion.

Explanation:

In this problem, a bird is flying north with a force of 11N while the air resistance is posing a force of 2N. Given the directions, we should make a vector diagram. A vector is characterized by both magnitude (in this case, the strength of force) and direction. The magnitude is the length of the vector, while the direction shows the way the force is applied.

Let's assume the northward direction is upward. You can represent the bird's motion as an upward arrow of length 11. This represents the 11N force north. The force due to air resistance, being 2N, can be represented as a downward arrow of length 2, indicating it's acting in the opposite direction to the bird's motion.

The net force is the vector sum of these two forces. Since they are in opposite directions, you subtract the smaller from the larger, giving a net force of 9N (11N bird's force - 2N air resistance). This net force can be represented by an upward arrow of length 9, indicating the bird still continues its movement to the north.

The displacement is the distance and direction the bird has moved. This will depend on the time the bird has been flying and is not indicated in the question.

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The weight of the space shuttle is about 4.5 million pounds. How many people would it take to move it? Answer in units of people.

Answers

Assuming that they are pulling the space shuttle straight up, and that this is done on the surface of the earth, where gravity is equal to 9.8 m/s^2. So taking the average pull force of a person to be 110 kg, then: 

110 kg/person * 9.8 m/s^2 = 1078 kg*m/s^2, or 1078 N/person (Newtons).

1 Newton is about 0.225 lb. So, 1078 N/person * 0.225 lb/N = 242.34 lb/person. 

So if the space shuttle weighs 4,500,000 lb, then it would take 4,500,000 lb / (242.34 lb/person) = 18,569 people.

 

Answer:

18,569 people

A penny is dropped into a well. It takes 5 seconds to fall. Calculate the depth of the well in feet.
A - 400
B - 300
C - 100

Answers

B-300 hope this helps
I believe the answer is A. 400 feet. I attached screen shots of my work. I hope this helps you! If you still have any questions feel free to comment below. 

I know it seems like a lot of work, but once you get used to it, you will be able to do it much more quickly. Physics is something you just need a lot of practice and repetition with. If you practice a lot, then you will have seen problems before and get the equations memorized just by working with them so much. 

Is there a correlation between moonrise and high tide?

Answers

Yes when it's night time the tides get higher and when it morning there lower.

1. It is common for people to face divorce, job layoffs, and debt at which of the following stages of life?

a. middle years
b. young adulthood
c. later middle years
d. older years

2. As we proceed on our life course, the events we experience are largerly influenced by

a. our social location and time period in which we were born.
b. our biological makeup
c. the type of groups we associate with when we become adults
d. our early childhood socialization.

Answers

1 C 2 C Hope this helps
Answer 1:

The correct choice is (C) later middle years

Explanation:

Later middle years is almost 30 to 40 years of a person's life. It is the most critical period of life because every person wants to get a successful life i this stage. We marry in this age and due to certain failures people get divorced too. Some people lose their jobs due to various reasons and many people also suffer from high debts because they want to stabilize themselves by starting a business if they don't get a suitable job.

Answer 2:

The correct answer is (C) the type of groups we associate with when we become adults

Explanation:

It is better said that a man is known by the company he keeps. So therefore it is a proven fact that all people are mostly influenced by their friends and social circle where they spend most of their time. The life style that we get and the behavior that we show is dependent upon the social circle and family members where we live. Therefore as we move in our lives the events we experience are largely influenced by the type of groups we associate with when we become adults

A block is given a very brief push up a 20.0° frictionless incline to give it an initial speed of 12.0 m/s. (a) how far along the surface of the plane does the block slide before coming to rest?

Answers

Final answer:

To determine the distance along the surface of the incline that the block slides before coming to rest, use the equations of motion. Find the acceleration using Newton's second law and then use the equation of motion to find the distance.

Explanation:

To determine the distance along the surface of the incline that the block slides before coming to rest, we can use the equations of motion. Since the incline is frictionless, the only force acting on the block is its weight component parallel to the incline. The acceleration of the block can be found using Newton's second law, and then we can use the equation of motion to find the distance.

First, let's find the acceleration. The weight component parallel to the incline is given by:

FPARALLEL = m x g x sin(theta)

where m is the mass of the block, g is the acceleration due to gravity, and theta is the angle of the incline.

Next, we can use Newton's second law to determine the acceleration:

m x a = FPARALLEL

a = PARALLEL / m

Once we have the acceleration, we can use the equation of motion to find the distance (s) traveled by the block:

s = (v02 - v2) / (2 x a)

where v0 is the initial velocity of the block and v is the final velocity (zero in this case, as the block comes to rest).

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The density of a sample can be obtained by dividing its __________ by its _______________.

Answers

Density can be calculated and found by dividing the sample's mass by its volume. D=m/v

An object is suspended from the ceiling with two wires that make an angle of 40° with the ceiling. The weight of the body is 150 N. What is the tension in each wire?

Answers

With questions involving Forces, it is best to draw a force diagram to model the problem, like the one shown below

We have two tension acting on the particle; T₁ and T₂. The tensions are vectors directed toward the ceiling.
There's also the force as weight acting vertically downwards from the particle. This force is 150N.

As the tension force acting in an angle, we will have to consider the sine and sine components of the tensions. 
We will also solve the force in the direction of x-axis and y-axis

Solving in x-axis direction:
T₂ cos 40° - T₁ cos 40° = 0
T₂ cos 40° = T₁ cos 40°
T₂ = T₁ ...(Eq 1)

Solving in y-axis direction:
T₁ sin 40° + T₂ sin 40° - 150N = 0
T₁ sin 40° + T₂ sin 40° = 150 ⇒ we know from (Eq 1) that T₁ = T₂
2T₁ sin 40° = 150
T₁ sin 40° = 75
T₁ = 75 ÷ sin 40°
T₁ = 116.7 N

Since T₁ = T₂, so T₂ = 116.7N

Answer: 117

Explanation:

What are possible formulas for impulse? Check all that apply.

Answers

 J = Ft, J = mv and J = p
Formulas For Impulse

Impulse is the variance of the momentum of a thing when the thing is operated upon by a force for an interval of time. Following are the possible formulas for impulse as;

Momentum is product of mass and velocity. According to newton’s second law, F =ma is by putting values of acceleration (a = ( vf - vi ) / t. Therefore, F =( m v ) / t. F t = m v and F t is impulse.

J = Ft

J = mv

J = p

A particles move 4m east, then 2m west. calculate the total distance and the displacement of the particles

Answers

Is the displacement of the particle 2 meters west ?

The federal government has developed the body mass index​ (bmi) to determine ideal weights. a​ person's bmi is directly proportional to his or her weight in pounds and inversely proportional to the square of his or her height in inches.​ (a bmi of 19 to 25 corresponds to a healthy​ weight.) a​ 6-foot-tall person weighing 177 lb has bmi 24. find the bmi​ (to the nearest whole​ number) of a person whose weight is 180180 lb and whose height is 7575 in.

Answers

Answer:

The BMI of a person whose weight is 180 lb and whose height is 75 inches is 22.

Explanation:

According to question , BMI is directly proportional to weight in pounds and inversely proportional to the square of height inches.

[tex]BMI\propto \frac{w}{h^2}[/tex]

[tex]BMI=k\times \frac{w}{h^2}[/tex]

BMI = body mass index

w = weight of person in pounds

h = height of the person inches.

BMI of a​ 6-foot-tall person weighing 177 lb = 24

w = 177 lb , h = 6 feet = 72 inches

1 feet = 12 inches

[tex]24=k\times \frac{177 lb}{(72 inches)^2}[/tex]

[tex]k=\frac{24\times (72 inches)^2}{177 lb}[/tex]

BMI of a​ 75 inhces person weighing 180 lb = BMI'

w = 180 lb , h = 75 inches

[tex]BMI'=k\times \frac{180 lb}{(75 inches)^2}[/tex]

Substitute value 'k' calculated above:

[tex]BMI'=\frac{24\times (72 inches)^2}{177 lb}\times \frac{180 lb}{(75 inches)^2}[/tex]

[tex]BMI'=22.493\approx 2[/tex]

The BMI of a person whose weight is 180 lb and whose height is 75 inches is 22.

The BMI of a person weighing 180 lbs with a height of 75 inches is approximately 23.

The Body Mass Index (BMI) is calculated by dividing a person's weight in pounds by their height in inches squared, then multiplying by 703.

Given that BMI is directly proportional to weight and inversely proportional to the square of height, let's determine the BMI for a person weighing 180 lbs and height 75 inches.

We can use the given information to set up the formula:

BMI = 703 * weight (lbs) / [height (in)]²

First, calculate the BMI for the provided example:

BMI = 703 * 177 / 72²BMI = 703 * 177 / 5184BMI ≈ 24

Now, calculate the BMI for the new values:

BMI = 703 * 180 / 75²BMI = 703 * 180 / 5625BMI ≈  22.5

Rounding to the nearest whole number, the BMI is 23.

Referring to the above diagram, if the incline on the right has a slope of 5 cm of rise for each 2 cm of run, what distance will the ball travel horizontally on the incline to the right?

options are:
A: 10cm
B: 20cm
C: 8cm
D: no way to tell

Answers

C: 8 cm
       
Assuming no friction, since the ball is starting with an elevation of 20 cm, it will end up with an elevation of 20 cm. So let's just calculate the result. "slope of 5 cm of rise for each 2 cm of run". So for every 5 cm the ball rises, it will go 2 cm horizontally. Since we know the ball will have a total rise of 20 cm, that gives us 20 cm / 5 cm * 2 cm = 8 cm And looking at the available answers, 8 cm is sitting right there. So the answer is C: 8 cm
The answer to your question is 8 cm.

Explain how the existence of isotopes is related to atomic masses not being whole numbers

Answers

The different versions of an element have different isotopes, like Copper-63 and Carbon-65. The average of these two is not 64, because there are more Carbon-63 in the world than Carbon-65, 69.17% Copper-63 and 30.83%  Copper-65, to be exact. By multiplying the atomic mass per unit of each one times their respective abundance in the world turned into a decimal, and adding these two products together, you het the atomic mass overall, which is 63.55
Final answer:

Isotopes, which are atoms of the same element with different numbers of neutrons, cause atomic masses to be non-whole numbers since atomic mass is a weighted average of the isotope masses based on their abundances.

Explanation:

The existence of isotopes is directly related to atomic masses not being whole numbers. Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons, leading to different mass numbers. The atomic mass of an element is the weighted average of the masses of its isotopes, based on their relative abundance. This is why atomic masses on the periodic table are not whole numbers.

For example, chlorine has two main isotopes with mass numbers of 35 (17 protons and 18 neutrons) and 37 (17 protons and 20 neutrons). The atomic mass of chlorine is 35.45, which reflects the weighted average of these isotopes, with the more abundant isotope having a greater influence on the final atomic mass.

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What is the net force on a bright red mercedes convertible traveling along a straight road at a steady speed of 100 hm/h?

Answers

I don't know what " hm/h " means as a unit of speed. But if the bright red object is traveling in a straight line at a constant speed, then its acceleration is zero, and that means that the net force acting on it is zero. The same would be true of a car of any other color traveling with the same velocity.

The magnitude of the vectors f~ is 27 n, the force on the right is applied at an angle 58◦ and the the mass of the block is 54 kg. 54 kg f 58 ◦ f if the surface is frictionless, what is the magnitude of the resulting acceleration? answer in units of m/s 2 .

Answers

The magnitude of the resulting acceleration is 0.265 m/sec².

What is acceleration?

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.

The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

Given the magnitude of the vectors f~ is 27 n, the force on the right is applied at an angle 58◦ and the the mass of the block is 54 kg. 54 kg f 58 ◦ f if the surface is friction less,

F cos(58) = ma

14.30 = 54.a

a = .265 m/sec²

The magnitude of the resulting acceleration is 0.265 m/sec².

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(i) a force of 35.0 n is required to start a 6.0-kg box moving across a horizontal concrete floor, (a) what is the coefficient of static friction between the box and the floor? (b) if the 35.0-n force continues, the box accelerates at 0.60 m/s2. what is the coefficient of kinetic friction?

Answers

a. The force applied would be equal to the frictional force.

F = us Fn

where, F = applied force = 35 N, us = coeff of static friction, Fn = normal force = weight

 

35 N = us * (6 kg * 9.81 m/s^2)

us = 0.595

 

b. The force applied would now be the sum of the frictional force and force due to acceleration

F = uk Fn + m a

where, uk = coeff of kinetic friction

 

35 N = uk * (6 kg * 9.81 m/s^2) + (6kg * 0.60 m/s^2)

uk = 0.533

The coefficient of static friction between the box and the floor is 0.60

The value of coefficient of kinetic friction is 0.061

Given data:

The magnitude of force to start the box is, F = 35.0 N.

The mass of box is, m = 6.0 kg.

The magnitude of acceleration is, [tex]a = 0.60 \;\rm m/s^{2}[/tex].

(a)

The force due to static friction is given as,

[tex]f = \mu mg[/tex]

Here, [tex]\mu[/tex] is the coefficient of static friction.

Solving as,

[tex]35.0= \mu \times 6 \times 9.8\\\mu \approx 0.60[/tex]

Thus, the coefficient of static friction between the box and the floor is 0.60.

(b)

If box accelerates, the frictional force comes to play to oppose the motion. Therefore,

[tex]f = F\\\mu_{k} \times m\times g = ma\\\mu_{k}\times g = a\\\mu_{k}\times 9.8 = 0.60\\\mu_{k} = 0.061[/tex]

Thus, the value of coefficient of kinetic friction is 0.061.

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SELECT ALL THE CORRECT ANSWERS

a strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?

a. it holds people’s belongings thigh to the Earth’s surface.

b. it’s responsible for cycling water through Earth’s four spheres.

c. it keeps the solar wind from reaching Earth.

d. it helps people navigate using a compass.

e. it helps cool Earths surface.

Answers

I think the answer is x

Earth's magnetic field protects from solar wind, aids navigation with a compass, and creates the Aurora Borealis. the correct options are c & d.

Earth's magnetic field protects humans from harmful solar wind by deflecting most of it, preventing damage to life on Earth. The magnetic field also aids navigation through the use of a compass, guiding people in finding direction accurately.

The Aurora Borealis, or Northern Lights, is an awe-inspiring light display resulting from disturbances within Earth's magnetic field caused by solar storms.

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