A gun with a muzzle velocity of 65.2 m/s is fired horizontally from a tower. Neglecting air resistance, how far downrange in meters will the bullet be 2.7 seconds later

Answers

Answer 1

Answer:

s ≈ 35.8 m

Explanation:

Let's apply the uniform acceleration equation to find the vertical height travelled after 2.7 seconds.

[tex]s = ut + \frac{1}{2}at^2[/tex]

s = distance travelled

u = initial vertical velocity

t = time taken

a = gravitational acceleration

The gun is fired horizontally, hence there is no initial vertical velocity.

[tex]s = 0(2.7) + \frac{1}{2}(9.81)(2.7)^2[/tex]

[tex]s = 35.75745 m[/tex]

s ≈ 35.8 m


Related Questions

Point B on a wheel of radius 40 cm that is rotating at a constant 5.0 revolutions
per second is located 0.20 m from the axis of rotation. Pont A is just at the border
of the wheel. See the figure.

a) What is the angular velocity of the wheel in rad/s?

b) What point has a greater linear speed, A or B? Calculate both speeds and
compare the results.

c) What are the centripetal accelerations of points A and B due to the spin of the
wheel? Sketch the situation and represent the vectors linear velocity and
centripetal acceleration in points A and B. Assume the rotation of the wheel
to be clockwise.

Answers

(a) The angular velocity of the wheel is 31.42 rad/s.

(b) The linear speed of the wheel at point A is greater than point B.

(c) The centripetal accelerations of points A is 394.89 m/s² and point B is 197.44 m/s².

Angular velocity of the wheel

The angular velocity of the wheel is calculated as follows;

ω = 2π (5) = 31.42 rad/s

Linear speed of the wheel at point A

v = ωr

v = 31.42 x 0.4

v = 12.57 m/s

Linear speed of the wheel at point B

v = ωr

v = 31.42 x 0.2

v = 6.28 m/s

Thus, the linear speed of the wheel at point A is greater than point B.

Centripetal acceleration at point A

a = ω²r

a = (31.42)² x 0.4

a = 394.89 m/s²

Centripetal acceleration at point B

a = ω²r

a = (31.42)² x 0.2

a = 197.44 m/s²

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which of the following statements is/ are true?

Answers

Answer:

2

Explanation:

because if both of them collided they have the same momentum

A turtle moves at a speed of 1.0 km/h. How fast is the turtle
moving in meters per second (m/s)?

Answers

Answer:

0.28 m/s

Explanation:

1.0km/h * (1000m / 1km) * (1h / 3600s) =

The speed of the turtle in meters per second is 0.28.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require any direction to represent it.

Given that the speed of the turtle is 1.0 km/h. The speed in meters per hour will be calculated as below:-

To calculate the speed in meters per second multiply the number by 1000 and divide it by 3600.

1.0 km/h. = 1 x 1000 / ( 3600 )

1.0 km/h. = 1000 / ( 3600 )

1.0 km/h. = 0.28 meter second.

Therefore, the speed of the turtle in meters per second is 0.28.

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Please help me

Write what you think a wave is and list two types of waves
you have seen or heard about.

Answers

Answer:

Waves come in two kinds, longitudinal and transverse

Explanation:

hope it helps hehe

Mars has two moons that are most similar in character to ________. Earth's Moon comets small asteroids particles in the rings of Saturn

Answers

Answer:

Small asteroids

Explanation:

Mars has 2 moons, Phobos and Deimos, that each have characteristics similar to small asteroids.

The magnetic field 0.02 m from a wire is 0.1 t. what is the magnitude of the magnetic field 0.01 m from the same wire? 0.01 t 0.05 t 0.1 t 0.2 t

Answers

The magnitude of the magnetic field is 0.01 m from the same wire will be 0.2 T.It is the type of domain where the magnetic force is received.

What is a magnetic field?

It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.

The given data in the problem is;

r is the radius= 0.02 m

I is the current = 10,000A

x is the position considered = 0.002 m

The value of the electric current is found as;

[tex]\rm B= \frac{\mu_0 Ix }{2 \pi r} \\\\ \rm I= \frac{B \times 2\pi r}{\mu_0} \\\\ \rm I= \frac{0.1 \times 2\times 3.14 \times 0.02}{4 \pi \times 10^{-7}} \\\\ \rm I= 10,000 \ A[/tex]

The megnetic field through the wire will be;

[tex]\rm B= \frac{\mu_0 I}{2 \pi r} \\\\\rm B= \frac{4 \pi \times 10^{-7} \times 10,000}{2 \times 3.14 \times 0.01} \\\\ \rm B= 0.2 \ T[/tex]

Hence the value of the megnetic field will be 0.2 T.

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Answer:

D

Explanation:

why does a balloon bursts if too much of air is blown into it​

Answers

Answer:

it is due to the elastic rubber and the air pressure builds up and the rubber expands

PLEASE ANSWER AS FAST AS POSSIBLE! what property is the same for all electromagnetic waves?
A. the length of each wave
B. the amount of energy each wave transmits
C. the speed of each wave
D. the number of waves that occur each second

Answers

Answer:

i believe the answer is C. the speed of each wave

Answer:

the speed of each wave

Explanation:

a p e x :))

what are the two properties of a vector?

Answers

Answer:

magnitude and direction

Want in own words please

What determines whether something is solid or liquid or gas

Answers

Answer:

An object could be determined as solid:

-It doesn't change shape easily.

-when lots of heat applied till melting point, it would melt or thaw (basically turn into liquid).

-turn to pieces or bent when enough force applied to it.

-the molecules attached with each other by strong forces, creating strong bonds.

An object could be determined as liquid:

-It changes shaped based on the container.

-when lots of heat applied till boiling point, it would vaporize

-the molecules have weak bonds, creating a lot of spaces.

-when heat extracted from the liquid till freezing point, it would freeze/hardened (turn into solid)

An object could be determined as gas:

-it doesn't have any shape or form.

-if fills in the container.

-if lots of heat applied, its molecules are going to move, vibrate,and transist faster; increasing pressure and volume.

-The molecules have very weak bonds, creating spacious space.

-when the heat are being extracted till certain freezing point, it is going to turn into liquid, then solid.

Which tools would Sara use to find an irregularly shaped object’s mass and volume?

a meter stick, a ruler, and water
a meter stick, a balance, and water
a balance, water, and a ruler
a balance, water, and a beaker

Answers

Answer:

D. a balance, water, and a beaker

Hope this helps!

Answer:

Explanation:

D. a balance, water, and a beaker

Which element is a noble gas?

Answers

Answer:

Elements that are noble gases are helium, argon, xenon, krypton, neon and radon.

A mountain climber has a mass (with all of their equipment) of 95, point, 0, k, g,95.0kg. If they were perfectly efficient, and ate 500, g,500g of chocolate (providing 11, point, 1, M, J,11.1MJ of chemical energy), how high could they climb?

Answers

Answer:

11900 meters

Explanation:

Use the Potential energy = mgh formula, substituting these in to get 11.1x10^6 = 95 x 9.81 x h.

Rearrange to make h the subject and the answer given is 11900 (3sig.fig.)

The maximum height to which he can climb will be 1.168 x 10⁴ meters.

What is potential energy?

The potential energy of a body is the energy of the body due it position. The potential energy always exist for two bodies which are in mutual interaction with each other for example by a force. For body a on earth, the potential energy of the body - earth system is -

E[P] = mgh

Given is a mountain climber that has a mass of 95 kg.

We can write -

Mass of climber = [M] = 95 kg

Energy gained by eating the chocolate = [E] = 11.1 MJ = 1.11 x 10⁷ joules

Assume that the height achieved achieve by the climber is [h] meters

Therefore, the potential energy gained at that height will be equal to 11 MJ

Therefore -

mgh = 1.11 x 10⁷

95 x 10 x h = 1.11 x 10⁷

95 x 10 x h = 1110 x 10⁴

h = (1110 x 10⁴)/950

h = 1.168 x 10⁴ meters

Therefore, the maximum height to which he can climb will be 1.168 x 10⁴ meters.

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Which is NOT a fossil fuel?
A)Coal
B)Oil
C)Wood
D)Natural gas

Answers

Wood is not a fossils fuel

Answer:

wood because, Coal, oil and natural gas are examples of natural gas. Biogas is the mixture of gases produced by the breakdown of organic matter in the absence of oxygen, usually consisting of certain quantities of methane and other constituents. therefore wood is not a fossil fuel

state and explain the structure of ear?​

Answers

Answer:

The ear has external, middle, and inner portions. The outer ear is called the pinna and is made of ridged cartilage covered by skin. Sound funnels through the pinna into the external auditory canal, a short tube that ends at the eardrum (tympanic membrane).

The function of the outer ear is to collect sound waves and guide them to the tympanic membrane. The middle ear is a narrow air-filled cavity in the temporal bone. It is spanned by a chain of three tiny bones—the malleus (hammer), incus (anvil), and stapes (stirrup), collectively called the auditory ossicles.

Action and reaction forces are described by which of Newton's laws of motion?
first
second
third
fourth

Answers

Answer:

Newtons Third Law

Explanation:

Please give me brainliest much appreciated

Answer:

3rd

Explanation:

Physics. 40 points.


Help please :) (View attached image)

Answers

Answer:

1) 10 m/s  2) 14.1 m/s  3) 6.7 m  4) 11.25 m  5) 4.5 m/s  6) 12 joules

Explanation:

Need help with the second one!

This question is based on the movie “Interstellar”

Answers

Nah we don't need a new planet

Explanation:

will can still manage our planet

In a healthy body, the heart pumps blood efficiently. When the heart has a problem, heart failure can occur. Heart failure can happen on one side of the heart or on both sides. What would happen if a person had right-sided heart failure?
The heart would fail to receive oxygenated blood from the lungs.
The heart would fail to efficiently pump oxygenated blood to the body.
The heart would fail to efficiently pump blood to the lungs.
The heart wouldn’t be able to pump blood to or receive blood from the lungs or the body.

Answers

Answer:

the heart would fail to efficiently pump oxygenated blood to the body and lungs

Answer:

the heart is hard to pump

How are gravity and air resistance the same?

Answers

Answer:

because baconeggandcheese

Explanation:

peepa pug

Vocabulary
Define each term below and use it in a sentence. Then choose two additional terms from the movie.

Answers

We don’t have the terms

there are 11 steps one should follow when shooting
true or false
(Archery)​

Answers

Answer:

true

Explanation:

1. Stance

2. Nock

3. Set Draw Hand

4. Set Bow Hand

5. Pre-Draw

6. Draw

7. Anchor

8. Aim

9. Shot Set Up

10. Release

11. Follow-Through & Reflect

Is it possible for only one type of force to be present in a setup? How?

Answers

Yes, unless its not a main source.

what is the difference between sky and space?​

Answers

Answer:

The sky is the region in which sunlight is scattered in the Earth's atmosphere,

while space is everything beyond that.

subtract 14/3 from 5
[tex]subtact14 \3 from5[/tex]

Answers

The answer is 1/3
Steps:

is the difference the point of origin and the point of destination?

Answers

Answer:

point of origin is the starting point while point of destination is the ending point

How are Neptune and Uranus allke?

Answers

Answer:

The methane gives Neptune the same blue color as Uranus.

Explanation:

Answer:

Uranus and Neptune are the two most distant planets in our solar system

Both are different from the larger gas giants Jupiter and Saturn, and from smaller rocky worlds like Earth

Uranus and Neptune have similar masses and internal compositions

Explanation:

During photosynthesis, plants transform the energy in sunlight into chemical
energy by converting molecules of carbon dioxide and water into sugar and
oxygen molecules. A scientist wants to share what she has learned about this
process. What are two reasons the scientist might use models to help
represent her findings?
A. The process is very complex.
B. Scientists need to replicate her experiments.
C. The molecules are too small to show the actual molecules in her
report.
D. Photosynthesis cannot be carried out in a laboratory

Answers

B and D

Explanation:

The scientists need to replicate her experiment and to do that you need actual sunlight,it can't be carried out in a laboratory

Hope this helped

What are nebulas, and how are they affected by gravity?.

Answers

gravity could slowly begin to pull together a bit of clumps of gas and dust but as the clumps get more big the gravity for them gets more and more stronger

Vector A has a magnitude of 27 m and
points in a direction 32° above the positive x axis. Vec-
tor B has a magnitude of 35 m and points in a direction
55° below the positive x axis. Sketch the vectors A, B,
and C = A + B. Estimate the magnitude and the
direction angle of from
your
sketch.

Answers

Answer:

The magnitude of the resultant is 55.0 m

The angle of resultant is 18.4°  below the x axis

Explanation:

Given that,

Magnitude of vector A = 27 m

Angle = 32° above the x axis

Magnitude of vector B = 35 m

Angle = 35° blow the x axis

We need to calculate the angle between the vectors

Using given angle

[tex]\theta=32-(-55)[/tex]

ptex]\theta=87^{\circ}[/tex]

We need to calculate the sum of vector A and B

Using formula of sum of vector

[tex]C=\sqrt{A^2+B^2+2AB\cos\theta}[/tex]

Put the value into the formula

[tex]C=\sqrt{27^2+35^2+2\times27\times35\cos87}[/tex]

[tex]C=55.0\ m[/tex]

We need to calculate the direction angle

Using formula of angle

[tex]\tan\theta=\dfrac{B\sin\theta}{A+B\cos\theta}[/tex]

Put the value into the formula

[tex]\tan\theta=\dfrac{35\sin87}{27+35\cos87}[/tex]

[tex]\tan\theta=1.21[/tex]

[tex]\theta=\tan^{-1}(1.21)[/tex]

[tex]\theta=50.4[/tex]

We need to calculate the angle of the resultant vector makes with vector A

Using formula of angle

[tex]\phi=32-50.4[/tex]

[tex]\phi=-18.4^{\circ}[/tex]

Negative sign shows that the direction of resultant is below the x axis

Hence, The magnitude of the resultant is 55.0 m

The angle of resultant is 18.4°  below the x axis

The magnitude of the sum of the vectors, C, can be obtained using the

parallelogram method.

The magnitude of the resultant vector, C, is approximately 45.3 meters.The direction of the resultant vector, C, is approximately 18.6° below the horizontal.

Reasons:

The given parameters are;

Magnitude of vector A = 27 m

The direction of vector A = 32° above the horizontal

Magnitude of vector B = 35 m

The direction of vector B = 55° above the horizontal

By drawing, using the parallelogram resolution of vectors on MS Word, and

taking extension of the resultant in the x and y-direction, we have;

C = A + B = 42.92·i - 14.48·j

The magnitude of the resultant vector is therefore;

|C| = √((42.92 m)² + (14.48 m)²) ≈ 45.3 m

The direction is given as follows;

[tex]\theta = arctan \left(-\dfrac{14.48}{42.92} \right) \approx -18.6^{\circ}[/tex]

Verifying, we get;

Vector A = 27×cos(32°)·i + 27×sin(32°)·j 22.9·i + 14.31·j

Vector B = 35×cos(-55°)·i + 35×sin(-55°)·j 20·08·i - 28.67·j

C = A + B = ( 22.9·i + 14.31·j) + (20·08·i - 28.67·j) = 42.98·i - 14.36·j

Therefore, the vector obtained by sketch is correct approximately.

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