To solve this problem it is necessary to apply the concepts related to Newton's second law, the definition of density and sum of forces in bodies.
From Newton's second law we understand that
Gravity at this case)
Where,
m = mass
a= acceleration
Also we know that

Part A) The buoyant force acting on the balloon is given as

As mass is equal to the density and Volume and acceleration equal to Gravity constant



PART B) The forces acting on the balloon would be given by the upper thrust force given by the fluid and its weight, then




PART C) The additional mass that can the balloon support in equilibrium is given as




Explanation:
It is given that,
Bandwidth of a laser source, 
(b) Let t is the time separation of sections of sections of the light wave that can still interfere. The time period is given by :



(a) Let h is the coherence length of the source. It is given by :

c is the speed of light

l = 0.0099 m
Hence, this is the required solution.
5 is the minimum number of cycles necessary for the engine to lift a rock of mass 570 kg
Answer:
2805 °C
Explanation:
If the gas in the tank behaves as ideal gas at the start and end of the process. We can use the following equation:
The key issue is identify the quantities (P,T, V, n) in the initial and final state, particularly the quantities that change.
In the initial situation the gas have an initial volume
, temperature
, and pressure
,.
And in the final situation the gas have different volume
and temeperature
, the same pressure
,, and the same number of moles
,.
We can write the gas ideal equation for each state:
and
, as the pressure are equals in both states we can write
solving for
(*)
We know
= 935 °C, and that the
(the complete volume of the tank) is the initial volume
plus the part initially without gas which has a volume twice the size of the initial volume (read in the statement: the other side has a volume twice the size of the part containing the gas). So the final volume 
Replacing in (*)
Answer:
W = 12.568rads
V = 1.8852m/s
Explanation:
Data:
r = 15cm = 0.15m
t = 10s
Revolutions = 20
Frequency (F) = number revolutions/ time take complete it
F = 20 / 10 = 2Hz
Angular velocity (w) = 2 * 3.142 * F
Note: 3.142 = value of pi
W = 2*3.142*2 = 12.568 rads
Linear velocity (v) = w*r
V = 12.568*0.15 = 1.8852m/s