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ad-work [718]
3 years ago
7

To qualify for Gold status at Awesome Airlines, one must fly less than 2280022800 but at least 96009600 miles each year. If Greg

takes a 600600-mile round-trip flight when visiting his parents, how many times does Greg need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Physics
1 answer:
sattari [20]3 years ago
8 0

Answer: n; 160 =< n < 3796

Explanation:

Number of miles needed to claim Gold d has the range

{d; 2280022800 > d >= 96009600}

Greg goes 600600miles in a year

dGreg = 600600mi

Lower limit for a Gold status is 96009600

Thus, we find the lower limit of number of trips

n = d/dGreg

(d here is the lower distance per year to be covered in order to attain Gold)

n(lower) = 96009600/600600

= 159.8561 ~ 160 trips

n(higher) = 2280022800/600600

= 3796.24 ~ 3796 trips

In interval notation

n; 160 =< n < 3796

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In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 2.6 cm. A second project
Trava [24]

Answer:

  Second  projectile is 1.4 times faster than first projectile.

Explanation:

By linear momentum conservation

Pi = Pf

m x U + M x 0 = (m + M) x V

U= \dfrac{(m + M)\times V}{m}

Now Since this projectile + pendulum system rises to height 'h', So using energy conservation:

KEi + PEi = KEf + PEf

PEi = 0, at reference point

KEf = 0, Speed of system zero at height 'h'

KEi = \dfrac{(m + M)\times V^2}{2}

PEf = (m + M) g h

So,

\dfrac{(m + M)\times V^2}{2} + 0 = 0+ (m + M) g h

V =\sqrt {2gh}

So from above value of V

Initial velocity of projectile =U

U=\dfrac{(M+m)\sqrt{2gh}}{m}

Now Since mass of projectile and pendulum are constant, So Initial velocity of projectile is proportional to the square root of height swung by pendulum.

Which means

\dfrac{U_2}{U_1}=\sqrt{\dfrac{h_2}{h_1}}

U_2=\sqrt{\dfrac{h_2}{h_1}}\times U_1

U_2=\sqrt{\dfrac{5.2}{2.6}}\times U_1

U₂ = 1.41 U₁

Therefore we can say that ,Second  projectile is 1.4 times faster than first projectile.

4 0
3 years ago
Fill in the blank. Charges added to a(n) _____ will immediately spread throughout the body.
aalyn [17]
Charges added to a CONDUCTOR will immediately spread throughout the body.
3 0
3 years ago
You're driving down the highway late one night at 22 m/s when a deer steps onto the road 38 m in front of you. Your reaction tim
sleet_krkn [62]

speed of the car is given on the road

v = 22 m/s

reaction time is given as

t = 0.50 s

now we can find the distance that it will move during this reaction time

d_1 = 22* 0.50 = 11 m

now the deceleration of the car is 10 m/s^2

so the distance that it will move before stop is given by

v_f^2 - v_i^2 = 2 a d

0^2 - 22^2 = 2*(-10)*d

d = 24.2 m

so the total distance that it require to stop is given as

d = 24.2 + 11 = 35.2 m

while the deer is standing at distance 38 m

so the car will stop 2.8 m before the position of deer


3 0
3 years ago
A light year is defined as the distance that light can travel in 1 year. What is the value of 1 light year in meter? Show your c
Ipatiy [6.2K]

Answer:

d=9.462×10^15 meters

Explanation:

<u>Relation between distance, temps and velocity:</u>

d=v*t

t=1year*(365days/1year)*/(24hours/1day)*(3600s/1h)=31536000s

So:

1 light year=d=3*10^8m/s*3.154*10^7s=9.462×10^15 meters

6 0
3 years ago
Acceleration and Force
olga55 [171]

Answer:

I'm pretty sure its 3m/s^2 for the acceleration but I don't know the force part sorry .

Explanation:

15m/s - 0m/s divided by 5 s = 3m/s

I'm no expert or anything so I could be wrong but this is the best I can give you. Sorry

6 0
2 years ago
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