Answer:
Explanation:
Mass of object = m
Height above planet = h
Mass of planet = M
Radius of planet = R
As we have to find out velocity, so let's apply the law of conservation of energies on initial( when the object was at height) and final( when object hit the surface points.
Initial energy = Final energy
Acceleration = v-u/t
= (45-30)/15
= 1 km/h
Distance = ut + 1/2 at^2
s = [30 x 15] + 1/2 x 1 x 15^2
= 562.5 km
Hope this helps
The purpose of an air filter is to purify the air around you removing particles such as dust from the air.
Answer:
a) V=203 ft/s
b) Since the Mach number is 0.063 < 0.3, we can conclude that the flow
is incompressible!
Explanation:
solution:
Start by deriving the expression for the fluid velocity, from the Bernoulli equation:
Next, we need to express the pressure difference between the stagnation pressure and the static pressure. This can be done using the relation between the pressures and the specific weights:
Since and it is much greater than we can obtain from the previous equation:
-p_static=h
V=√2*h/r_fluid
Using the ideal gas formula we can obtain the neccesarry density of Helium:
r_fluid=p/R.T
=5.80*10^-4 sl/ft^3
Using the value for water specific weight from the table B.1, we return to the expression for fluid velocity:
V=√2*h/r_fluid
V=203 ft/s
Next, we need to obtain the Mach number for the fluid flow velocity, so that we can find out if the flow is in compressible or not. The Mach number formula is:
M=V/c
=V/√kRT
Substituting the known values for the real gas constant R, the given temperature T and the adiabatic index k, we obtain:
M=V/c
=0.063
Since the Mach number is 0.063 < 0.3, we can conclude that the flow is incompressible!