Answer:
t = 4.58 s
Explanation:
In this problem, we need to find the time elapse between seeing lightning and hearing the thunder if the lightning strikes 1mi (5280 ft) away and the air temperature is 90.0°F.
T = 90.0°F = 32.2 °C
The speed of sound at temperature T is given by :
v = (331.3 +0.6T)
Put T = 32.2°C
So,
v = (331.3 +0.6(32.2))
= 350.62 m/s
We have, distance, d = 1 mile = 1609.34
So,

So, the required time is equal to 4.58 seconds.
Answer:
The pressure increases by a factor 8
Explanation:
For a gas held at constant temperature, Boyle's law can be applied. It states that the product of the gas pressure and the gas volume is constant, so we can write:

where
is the initial pressure
is the final pressure
is the initial volume
is the final volume
For the gas in this problem, the volume is reduced from

to

so we can rewrite the equation as

this means that the pressure of the gas will increase by a factor 8.
They had to use thrust because there is no air on the moon meaning that parachutes would be totally useless because parachutes require air to create drag. Fun fact since there is no air on the lunar surface sound waves cannot be made since there are no air molecules for the waves to pass through, so that's why they use radio's in space.
Answer:
A. 2.41 s.
B. 24.3 m/s.
Explanation:
vf = vi + 2a*t
where, vf = final velocity
= 0 m/s
vi = final velocity
= 1.5 m/s
a = 9.8 m/s^2
A.
ti = 1.5/(9.8 * 2)
= 0.08 s
Vf^2 = Vi^2 + 2a*s
1.5^2 = 2 * 9.8 * s
S = 0.115 m
Time taken to drop into the water,
30.115 = 1.5*to + 4.9*to^2
to = 2.33 s
Total time taken = ti + to
= 2.33 + 0.08
= 2.41 s.
B.
Vo = 0 m/s
S = 30.115 m
Vf = ?
Using,
Vf^2 = Vo^2 + 2*a*s
= sqrt (2*9.8*30.115)
= 24.3 m/s.