Height of cannon 5 m, initial speed of projectile 15m/s, angle of launch 0 degrees. What is the range and time in the air? Please show work!

Answers

Answer 1

Answer:

The range is 15.15 m and the time in the air is 1.01 s

Explanation:

Horizontal Motion

When an object is thrown horizontally (with angle 0°) with a speed v from a height h, it follows a curved path ruled exclusively by gravity until it eventually hits the ground.

The range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

To calculate the time the object takes to hit the ground, we use the equation below:

[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]

The cannon is shot from a height of h=5 m with an initial speed of v=15 m/s. The range is calculated below:

[tex]\displaystyle d=15\cdot\sqrt{\frac {2*5}{9.8}}=15*1.01[/tex]

d = 15.15 m

The time in the air is:

[tex]\displaystyle t=\sqrt{\frac{2*5}{9.8}}[/tex]

t = 1.01 s

The range is 15.15 m and the time in the air is 1.01 s


Related Questions

What statement provides an example of designing a solution in the technological design process? Aerospace engineers need a lightweight material to build a jet. Engineers determine which features the material must have. Engineers test a carbon-plastic compound in a wind tunnel. The carbon-plastic compound is redesigned to save maximum energy.

Answers

Answer:

Engineers determine which features the material must have.

Explanation:

The statement provides an example of designing a solution in the technological design process is B. Engineers determine which features the material must-have.

what is the procedure for designing answers to technological issues?

Steps of the technological layout system encompass: pick out trouble, research the hassle, generate possible answers, pick out the fine solution, create a version, test the model, refine and retest the model as wished, and talk the final answer.

What is a design solution?

The design answer definition can be used to generate the quit product specifications with a view to be used to produce the product and to conduct product verification. This technique may be in addition delicate depending on whether or not there are extra subsystems of the quit product that need to be defined.

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Which forms of heat transfer do not require matter(particles) to happen? (Select all that apply)
Conduction
Convection
Radiation
None of these

Answers

Answer:

Radiation

Explanation:

The form of heat that does not require matter or particles to happen is known as radiation.

Radiation is a form of heat that is carried by electromagnetic spectrum. It does not depend on particles of the medium. Convection and conduction depends on the particles in the medium for heat transfer. Conduction and convection cannot occur in a vacuum. Radiation can transfer heat in a vacuum.

a running person has a what you need. Mass of 60kg and a speed of 3.16m/s what is her kinetic energy?

Answers

Answer:

[tex]\boxed {\boxed {\sf 299.568 \ Joules }}[/tex]

Explanation:

Kinetic energy can be found using the following formula:

[tex]E_k=\frac{1}{2}mv^2[/tex]

where m is the mass and v is the velocity.

The mass of the person is 60 kilograms and the velocity is 3.16 meters per second

[tex]m= 60 \ kg \\v= 3.16 \ m/s[/tex]

Substitute the values into the formula.

[tex]E_k=\frac{1}{2} (60 \ kg) *(3.16 \ m/s)^2[/tex]

First, evaluate the exponent.

(3.16 m/s)²= (3.16 m/s) * (3.16 m/s) = 9.9856 m²/s²

[tex]E_k=\frac{1}{2}(60 \ kg ) (9.9856 \ m^2/s^2)[/tex]

Multiply 60 kg by 9.9856 m²/s²

[tex]E_k=\frac{1}{2} (599.136 \ kg*m^2/s^2)[/tex]

Multiply 599.136 kg*m²/s² by 1/2, or divide by 2.

[tex]E_k=299.568 \ kg*m^2/s^2[/tex]

1 kg*m²/s² is equal to 1 Joule Therefore, our answer of 299.568 kg*m²/s² is equal to 299.568 Joules.

[tex]E_k= 299.568 \ J[/tex]

The running person has a kinetic energy of 299.568 Joules.

Solution:

We know that, Kinetic energy(kE)= 1/2×m×v^2

By applying formula,we get

Or,KE=1/2×60×3.16^2

Or,kE=299.57j

So,her kinetic energy is 2999.5j

Which forms of heat transfer do not require matter(particles) to happen? (Select all that apply)
Conduction
Convection
Radiation
None of these

Answers

Answer:

Radiation

Explanation:

bc Radiation transfers heat through electromagnetic waves.

A car weighing 12,000 N is parked on a 36° slope. The car starts to roll down the hill. What is the acceleration of the car?​

Answers

Answer: 5.8 m/s squared

Explanation: just got that question lol

if you know how to SHiFT in sleep how do you do it

Answers

You write the terms and conditions in your journal

A projectile was launched horizontally with a velocity of 468 m/s, 1.86 m above the ground. Calculate how long it would take for the projectile to hit the ground, to the nearest tenth of a second. Record your answer in the boxes below. Be sure to use the correct place value.

Answers

Answer:

  0.6 seconds

Explanation:

The time to fall from height h is ...

  t = √(2h/g)

  t = √(2(1.86 m)/(9.8 m/s^2)) ≈ √0.3796 s ≈ 0.616 s

It would take about 0.6 seconds for the projectile to hit the ground.

Answer:

0.6 seconds

is ur answer :)

What is the mass in grams of 3.1 mol of mercury, Hg Show Your work ​

Answers

Answer:

621.83grams

Explanation:

Using the formula;

Mole = mass ÷ molar mass

Where;

Mole = mol

Mass = grams

Molar mass = g/mol

According to the information given in this question, number of moles = 3.1mol, mass of Hg = ?, Molar mass (MM) of Hg = 200.59g/lol

Hence, using mole = mass/MM

3.1 = mass / 200.59

mass = 200.59 × 3.1

Mass = 621.829

Mass = 621.83grams

Aluminium is a non magnetic metal. However, it can become magnetised under special conditions. Explain how. (4 marks)​

Answers

Answer:

Exposing it to a very strong magnetic field

Explanation:

Aluminium is a non magnetic metal thus it is not magnetic under normal conditions. This is because it interacts with other magnets. The only condition that magnetism can be induced in aluminium is exposing it to a very strong magnetic field.

Which component of a galaxy consists of tiny particles that look smoky or cloudy and
can be found in the space between stars?

Answers

Cosmic Dust.

Why? When stars explode, or die, they releases dust and gas.

To solve this we must be knowing each and every concept related to galaxy. Therefore, cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.

What is galaxy?

Galaxies are collections of stars as well as other celestial objects that are gravitationally bound. The cosmos contains and over 100 billion galaxies, each of which has stunning formations seen in photographs captured by telescopes of the far sky.

According to Samuel, a galaxy's shape is the result of continual interactions between its many components. The majority of the mass is provided by the dark matter, which uses gravity to hold everything together. Cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.

Therefore, cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.

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Planet A has a gravitational field strength of 8.0 N/kg near its surface.

Planet B has three times the mass of Planet A and is half of its size.

What would be the gravitational field strength of planet B near its surface?

Answers

Answer: 96 N/kg

Explanation:

24. A soccer ball is kicked straight up into the air with a velocity of 10 m/s. How much time does it take the ball to reach its maximum height? (g = 10 m/s^2)
A 2 sec
B 100 sec
C 1.4 sec
D 1 sec​

Answers

Answer:

D. Time t = 1 [s]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o}-g*t[/tex]

where:

Vf = final velocity = 0 (when the ball reaches the maximum height its elevation won't be increased since the velocity is zero)

vi = initial velocity = 10 [m/s]

g = gravity acceleration = 10 [m/s²]

t = time [s]

Now replacing:

[tex]0 = 10-10*t\\10 = 10*t\\t = 1 [s][/tex]

A rock is thrown from the top of the Empire State Building. What is the overall acceleration it will experience?

Answers

Answer:

acceleration due to gravity is constant anywhere on the earth .its value is 9.8m/s²

Please find the average of the following numbers
9,10,100,50,20

Answers

Answer:

Average: 22.142857142857  

Average =  

Sum

Count

=  

155

7

=  22.142857142857

Sum 155

Count 7

Median 23

Geometric Mean 16.412764443111

Largest 38

Smallest 2

Range 36

Answer:

15.4

Explanation:

If a paper airplane has a forward velocity of 2 m/s, but air resistance has a velocity of 1 m/s acting against the paper airplane, then what is the resultant forward velocity of the paper airplane?

Answers

Answer:

F_{resultant} = 1 [m/s]

Explanation:

These types of problems can be solved by means of relative velocities, where vectors (forces or velocities) are necessarily handled, these velocities depending on the velocity are added or subtracted.

Forces to the right are taken as positive and negative to the left.

[tex]F_{velocity}-F_{air}=F_{resultant}\\2-1 = F_{resultant}\\\\F_{resultant} = 1 [m/s][/tex]

which has an effect on acceleration (speeding up, slowing down, or changing direction)?

Answers

Explanation:

If acceleration points in the same direction as the velocity, the object will be speeding up. The acceleration points in the same direction as the velocity if the car is speeding up, and in the opposite direction if the car is slowing down.

The first five questions refer to the following problem:

A model rocket lifts off with an upward thrust of 35 Newtons. It has a mass of 2.5 kilograms and a weight of 25 Newtons. How quickly does the rocket accelerate?

What is the first equation you would use to answer this question?

Question 3 options:

Fnet=F↑−F↓

Δt=Δdv

Δd=d2−d1

F12=−F21

Answers

Answer:

Δd=d2−d1

Explanation:

good morning

Please help me on my test :) thank uu

An insulated copper wire is wrapped around an iron nail and connected to a power
source (battery). When the circuit is closed, the nail can attract and pick up paper clips,
but when the circuit is open, the nail does not attract the paper clips. Which of the
following explanations best describes this phenomenon?

A When the circuit is open, it creates a current, and a magnetic field is induced.
B When the circuit is closed, there is neither a current nor a magnetic field.
C When the circuit is closed, it creates a current, and a magnetic field is induced.
D When the circuit is open, there is a current but no magnetic field.

Answers

Answer:

d

Explanation:

because ik igvddhh56yfdsaw66 u77rfgtd gyy f music nutren

If you weight 100 pounds on earth how much would you weight on the moon

Answers

Answer:

You should weigh about 16 pounds.

Explanation:

To find this, you need to find your weight and divide it by 6 to find your weight on the moon.

Neha and Suhani are playing with two identical pendulums. They leave the bob from a certain position and wait for it to return to the same point. The one who waits for a shorter time wins. Neha leaves her pendulum from point L and Suhani leaves her pendulum from point P (see figure). What happens?
a. Neha wins as her bob comes back faster.
b. Suhani wins as her bob comes back faster.
c. No one wins as the bobs come back at the same time.
d. We cannot say any of the above for sure.

Answers

Answer:

The correct option is C

Explanation:

The pendulum bob would return at the same time because the initial angle a pendulum bob is dropped does not affect it's period (the time it takes for the pendulum to move back and forth), however the one with a larger angle move faster but would eventually arrive at the same "starting point" due to varying displacements made.

c. No one wins as the bobs come back at the same time.

  The pendulum bob would return at the same time because the initial angle a pendulum bob is dropped does not affect it's period (the time it takes for the pendulum to move back and forth), however the one with a larger angle move faster but would eventually arrive at the same "starting point" due to varying displacements made.The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

Learn more:

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Can you please answer qeastion

Answers

Answer:

the mantel

Explanation:

yeeeeaaaaaaa

A can of corn heas a diameter of 6.6 centimeters and a height of 9.9 centimeters. How much corn can tue can hold?

Answers

Answer:

338.7cm

Explanation:

The can of corn would be in the shape of a cylinder. Since we are looking at capacity, we will want to find the volume.

V=abase×h

V=πr2×h

V=π(d2)2×h

V=π(6.62)2×9.9

V=338.7cm3

Hopefully this helps!

Answer:

338.7 cm³

Explanation:

For this question you use the volume formula of a cylinder πr²h.

Radius is 1/2 the diameter.

Simply input the variables into the formula.

π(3.3)²×9.9 = 107.811π or approximately 338.7 cm³

if the pumpkin is thrown from a height of 14 meters above the ground. the velocity of the pumpkin when it is thrown is 23 m/s at 40 degrees above the horizontal. what is the value of the horizontal velocity when the pumpkin is thrown

Answers

Answer:

The value of the horizontal velocity when the pumpkin is thrown is approximately 17.619 m/s

Explanation:

The height from which the pumpkin is thrown = 14 meters

The velocity with which the pumpkin is thrown = 23 m/s

The direction in which the pumpkin is thrown = 40° above the horizontal

The horizontal component of the velocity = 23 × cos(40) ≈ 17.619

Therefore, the value of the horizontal velocity when the pumpkin is thrown ≈ 17.619 m/s

Complete the following sentences.
mento
When you drop a ball, it falls to the ground,
This happens because the
pulls the ball
towards it with a force called
I
Forces are measured in units called
(Total 3 marks)

Answers

force pull the ball towards it with a force called gravity. newton

A force of 15N is exerted on an area of 0.1 m squared. what is the pressure

Answers

Answer:

1The force is with u. Lol no Idea if this is correct sry if u fail. I go must now

(5) A 4 kg. object rests on a flat, horizontal surface with a static
coefficient of friction of 0.25. What minimum force will be necessary to
start the object in motion? If the coefficient was smaller, what effect would
that have? If it was larger?

Answers

Answer:

F = 9.81 [N]

Explanation:

To solve this problem we must use Newton's third le which tells us that the sum of forces on a body that remains static must be equal to one resulting from these forces in the opposite direction.

Let's perform a summation of forces on the vertical axis-y to determine the normal force N.

∑F = 0 (axis-y)

[tex]N - m*g = 0[/tex]

where:

m = mass = 4 [kg]

g = gravity acceleration = 9.81 [m/s²]

[tex]N - (4*9.81)=0\\N = 39.24 [N][/tex]

Now we know that the frictional force can be calculated using the following equation.

f = μ*N

where:

f = friction force [N]

μ = friction coefficient = 0.25

N = normal force = 39.24 [N]

Now replacing:

[tex]f = 0.25*39.24\\f = 9.81[N][/tex]

Then we perform a sum of forces on the X-axis equal to zero. This sum of forces allows us to determine the minimum force to be able to move the object in a horizontal direction.

∑F = 0 (axis-x)

[tex]F-f=0\\F-9.81=0\\F= 9.81[N][/tex]

If the coefficient was smaller, a smaller force (F) would be needed to start the movement, this can be easily seen by replacing the value of 0.25, by smaller values, such as 0.1 or 0.05.

If the coefficient were larger, a larger force would be needed.

A polar bear runs at a speed of 11\,\dfrac{\text m}{\text s}11 s m ​ 11, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction with 23,000\,\text J23,000J23, comma, 000, start text, J, end text of kinetic energy.

Answers

Answer:

380.1 kg

Explanation:

what is gravity ?short ans​

Answers

Answer:

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward one another. On Earth, gravity gives weight to physical objects, and the Moon's gravity causes the ocean tides.

An astronaut weighs 160 Newtons on the surface of of the moon where the acceleration due to gravity is 1.6 m/s/s. What is his weight on EARTH, where the acceleration due to gravity is 10 m/s/s? Include units in your answer. *

Answers

Answer:

The weight of an object with mass M, in a place with gravitational acceleration G, is:

W = M*G

We know that in the moon, with G = 1.6 m/s^2, the weight is 160N

Then we have the equation:

160N = (1.6 m/s^2)*M

With this, we can find the mass of the astronaut.

(160N)/(1.6 m/s^2) = M = 100kg.

Then in the Earth, where the acceleration is G = 10 m/s^2, the weight will be:

W = (10m/s^2)*100kg = 1000 N

True or False. Water drains differently in the Northern and Southern hemispheres.

Answers

Answer: True

Explanation:

Answer:

false

Explanation:

hope this help (brainlist plz)

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