Answer:u=-22 m/s
Explanation:
Given
mass of puck 
Average force 
time of contact 
puck leaves with a velocity of 
We know impulse is 

therefore



Final momentum 


Impulse on the ball 
Impulse
Initial velocity is given by

i.e. initially ball is moving towards -x-axis
The wave takes 11.3 s to cover a distance of 26.5 m, so its speed is:

The distance between two consecutive crests is 3 m, and this corresponds to the wavelength of the wave. To find its frequency, we can use the relationship between the speed v, the wavelength

and the frequency f:
For two un-related quantities, the Heisenberg uncertainty equations holds: the prduct of the two uncertainty quantities is greater than

Example of unrelated quantities are position and momentum, energy and time.
Thus

Knowing the speed of the bacteria the uncertainty in its position is
I believe it’s self-referent encoding
Answer:
ρ = 1.13 10⁴ km/m³
Explanation:
For this exercise we use Newton's equilibrium equation
B –W + W_scale = 0
Where B is the thrust and W_scale is the balance reading
The push is given by Archimedes' law
B = ρ_water g V
B = W- W_scale
B = m g - m_scale g
Let's calculate
B = 14.7 9.8 - 13.4 9.8
B = 12.74 N
ρ_water g V = 12.74
V = 12.74 / ρ_water g
V = 12.74 / 1000 9.8
V = 0.0013 m³
Let's use density
ρ = m / V
We replace
ρ = 14.7 / 0.0013
ρ = 1.13 10⁴ km/m³