Answer:
mass flow rate at water condenses is 36.72 kg/min
Explanation:
given data
temperature t1 = 38°C
temperature t2 = 14°C
humidity ∅= 97 % = 0.97
rate v = 510 m³/min
to find out
mass flow rate at water condenses
solution
by gas equation we find here mass flow rate that is
pv = mRT
put here value and p is 0.066626 bar at 38°C and find m
m = 0.06626 ×
× 510 / 287×311
m = 37.85 kg/min
so at water condenses mass flow rate is express as
∅ = M / m
Mass flow rate M = ∅ × m
M = 0.97 × 37.85
mass flow rate = 36.72 kg/min
so mass flow rate at water condenses is 36.72 kg/min
Answer:
261.3 m/s
Explanation:
Mass of bullet=m=15 g=
1 kg=1000g
Mass of block=M=3 kg
d=0.086 m
Total mass =M+m=3+0.015=3.015 kg
K.E at the time strike=Gravitational potential energy at the end of swing

Using g=
Substitute the values




Velocity after collision=V=1.3 m/s
Velocity of block=v'=0
Using conservation law of momentum

Using the formula




1. 168.1 Hz
To find the apparent frequency heard by the driver in the car, we can use the formula for the Doppler effect:

where
f is the original sound of the horn
v is the speed of sound
is the velocity of the observer (the driver and the car), which is positive if the observer is moving towards the source and negative if it is moving away
is the velocity of the sound source (the train), which is positive if the source is moving away from the observer and negative otherwise
In this problem we have, according to the sign convention used:

Substituting, we find:

2. 
The speed of light can be calculated as

where
d is the distance travelled
t is the time taken
In this problem:
is the total distance travelled by the laser beam (twice the distance between the Earth and the Moon)
t = 2.60 s is the time taken
Substituting in the formula,
