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algol [13]
2 years ago
14

A drone is flying horizontally when it runs out of battery and begins to free fall from 20m. No drag. If it lands 60m away (in t

he x-direction) from where it began to fall, what was it's horizontal velocity while it fell
Physics
1 answer:
rewona [7]2 years ago
3 0

Answer:

Explanation:

Remark

At the time it takes to drop 20 m is the same time it takes to travel 60 m horizontally.

Givens

h = 20 m

hd = 60 m

g = 9.81

vi = 0

Formula

d = vi*t + 1/2 a * t^2                  We are solving for t

Solution

When the battery fails, the vertical initial velocity is 0. So we have to find the time it would take to drop 20 meters

d = 0*t + 1/2 * 9.81 a* t^2

20 = 4.91 * t^2                          Divide by 4.91

20/4.91 = 4.91 t^2 / 4.91    

4.073 = t^2                              Take the square root of both sides.

t = 2.02 seconds

Horizontal

d = 60 m

t = 2.02 seconds

v = ?

Note: there is no horizontal deceleration or acceleration

v = d/t

v = 60/2.02

Answer: v = 29.73 m/s

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If the displacement of a horizontal mass-spring system was doubled, the elastic potential energy in the system would change by a
bixtya [17]

Answer:

K'=4K

Explanation:

The electric potential energy is given by :

E=\dfrac{1}{2}kx^2

Where

k is spring constant

x is compression or extension in the spring

If the displacement of a horizontal mass-spring system is doubled, x'= 2x

New elastic potential energy :

E'=\dfrac{1}{2}kx'^2\\\\E'=\dfrac{1}{2}k(2x)^2\\\\=\dfrac{1}{2}k\times 4x^2\\\\K'=4\times \dfrac{1}{2}kx^2\\\\K'=4K

So, new elastic potential energy 4 times the initial elastic potential energy.

3 0
3 years ago
How were lion fish introduced to the areas around Florida
mr_godi [17]

Answer:

<h3>I think this will answer your question. This is information is not mine and this rightfully belongs to <u>columbia.edu.</u></h3><h3><u /></h3>

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5 0
3 years ago
Read 2 more answers
Answer the answers that you know.
sesenic [268]
1).  Sequence from the Sun:

       Inner planets:
                 Mercury
                 Venus
                 Earth
                 Mars

       Outer planets:
                 Jupiter
                 Saturn
                 Uranus
                 Neptune
            
2).  The farther a planet is from the sun, the longer it takes
to orbit the sun.  Mercury ... 88 days.  Earth ... 365 days.
                           Jupiter ... 12 years.    Neptune ... 165 years.

3).  Mercury & Venus ... no moons
      Earth - 1
      Mars - 2
     Jupiter -  more than 65

4).  Mercury ... cratered, no atmosphere
      Venus ... cratered, thick cloudy atmosphere
       Mars ... dry, cratered, slight atmosphere, like 1% or Earth's
      
       Jupiter, Saturn, Uranus, Neptune
                     We can't see any surface.  If any of them even
                     HAS a surface, it's thousands of miles under a
                     thick atmosphere of methane gas.

5).  Missing from the list

6).  Here's a list from the biggest planet to the smallest one.
The numbers in parentheses are the radius of the planet --
half of the diameter:

Jupiter (69,911 km / 43,441 miles) – 1,120% the size of Earth
Saturn (58,232 km / 36,184 miles) – 945% the size of Earth
Uranus (25,362 km / 15,759 miles) – 400% the size of Earth
Neptune (24,622 km / 15,299 miles) – 388% the size of Earth
Earth (6,371 km / 3,959 miles)
Venus (6,052 km / 3,761 miles) – 95% the size of Earth
Mars (3,390 km / 2,460 miles) – 53% the size of Earth
Mercury (2,440 km / 1,516 miles) – 38% the size of Earth

7). At least seven of the planets rotate in the same direction. 
There's something different about one of them ... it may be Uranus
but I'm not sure.  You'll have to look this up.

8).  Saturn has the famous rings, that you can almost see
with only binoculars.
Spacecraft sent to observe the outer planets have detected
very thin rings around Uranus and Neptune.

9).  Included in #6.

10).  I don't have complete info.  Generally, the closer the planet
is to the sun, the hotter it is.  But there are a few exceptions. 
I think Venus ... the second one from the sun, is actually hotter
than Mercury. 

11).  Just about every language has its own name for each planet.

12).  "Terrestrial" means "like Earth" ("Terra").
The terrestrial planets are the ones that have solid surfaces
and are made of rock.
Mercury, Venus, Earth, and Mars.

13).  "Jovian" means "like Jupiter".
Either no solid surface, or very small, inside a big deep gas ball. 
Jupiter, Saturn, Uranus, Neptune.


4 0
3 years ago
26. A 40 kg boy jumps from a height of 4m onto a plate-form mounted on springs. As the
denpristay [2]

Answer:

c. 1600J

Explanation:

The loss in potential energy of the boy is given by:

U=mg \Delta h

where

m = 40 kg is the mass of the boy

g = 9.8 m/s^2 is the acceleration of gravity

\Delta h = 4 m + 0.02 m = 4.02 m is the total change in the height of the boy (4 metres + 2 cm due to the compression of the spring)

Substituting, we find

\Delta U = (40 kg)(9.8 m/s^2)(4.02 m) = 1577 J \sim 1600 J

4 0
3 years ago
An aircraft performs a maneuver called an "aileron roll." During this maneuver, the plane turns like a screw as it maintains a s
Dmitriy789 [7]

Answer:

0.17724 m/s²

Explanation:

D = Diameter of roll = Length of wing = 11 m

T = Time it takes to complete the circle = 35 s

Velocity

v=\frac{2\pi R}{T}\\\Rightarrow v=\frac{\pi D}{T}\\\Rightarrow v=\frac{\pi\times 11}{35}\\\Rightarrow v=0.98735\ m/s

Acceleration

a=\frac{v^2}{R}\\\Rightarrow a=\frac{0.98735^2}{\frac{11}{2}}\\\Rightarrow a=0.17724\ m/s^2

Acceleration of the tip of the plane is 0.17724 m/s²

3 0
3 years ago
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