Answer:
Ferrari would stop first.
Explanation:
The momentum of a moving body is given as:
momentum, P = mass of the body x its velocity
i. For the Freight,
mass = 5000 tons = 4535924 kg
speed = 10 mph = 4.4704 m/s
P = mv
= 4535924 x 4.4704
= 20.28 x
P = 20.28 x kgm/s
ii. For the Ferrari,
mass = 3250 lb = 1474.175 kg
speed = 250 mph = 111.76 m/s
P = mv
= 1474.175 x 111.76
= 16.48 x
P = 16.48 x kgm/s
Comparing the momentum of the two objects, the Ferrari would stop fist when break is applied.
To solve this problem we will apply the concepts related to the Doppler Effect. The Doppler effect is the change in the perceived frequency of any wave movement when the emitter, or focus of waves, and the receiver, or observer, move relative to each other.
Mathematically it can be described as
Where,
v = Speed of sound
f' = Reflected frequency
f = Emitted Frequency
= Speed of the object
Assuming that the speed of the medium is the speed of sound of 343m / s, we will then have that:
The important point here is that volumetric flow rate in the pump and the pipe is the same.
Q = AV, where Q = Volumetric flow rate, A = Cross sectional area, V = velocity
Q (pump) = (π*15^2)/4*2 = 353.43 cm^3/s
Q (pipe) = (π*(3/10)^2)/4*V = 0.071V
Q (pump) = Q (pipe)
0.071V = 353.43 => V = 5000 cm/s
Therefore, the flow of water in the pipe is 5000 cm/s.
Pearl Ash is an example of an Impure Potassium Carbonate