The final volume of the gas is 238.9 mL
Explanation:
We can solve this problem by using Charle's law, which states that for a gas kept at constant pressure, the volume of the gas (V) is proportional to its absolute temperature (T):
Which can be also re-written as
where
are the initial and final volumes of the gas
are the initial and final temperature of the gas
For the gas in the balloon in this problem, we have:
is the initial volume
is the initial absolute temperature
is the final volume
is the final temperature
Solving for ,
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Answer:
time rising = 34 / 9.8 = 3.47 sec
total time in air = 2 * 3.47 sec = 6.94 sec
(time rising must equal time falling)
R = 17 m/s * 6.94 s = 118 m
Can also use range formula
R = v^2 sin (2 theta) / g
tan theta = 34 / 17 = 2
theta = 63.4 deg
2 theta = 126.9 deg
sin 126.9 = .8
v^2 = 17^2 + 34^2 = 1445 m^2/s^2
R = 1445 * .8 / 9.8 = 118 m agreeing with answer found above
Given:
The speed of sound is 340 m/s
Time for the echo is 5.2 s.
Let h = the depth of the canyon.
Because the sound of your voice travels to the bottom of the canyon and back to your ear, the total distance traveled is 2h.
By definition,
distance = velocity * time.
Therefore
2h = (340 m/s)*(5.2 s) = 1768 m
h = 884 m
Answer: The depth is 884 m.
Answer: a) 0.12m; b) 1,6 s; c) 0.625 1/s
Explanation: The simple harmonic movement can be described by a sin or cosine function in time.
This can be in the form:
X(t)= A Sin/Cos (wt+φ) where φ is initial phase o position at t=0
w the angular frequency are related to the frequency (f) as 2Pif
and f=1/T period of oscillating
