- What is the kinetic energy ,KE, per unit volume V of blood that has a speed of 0.5 m/s. Take density ofĉblood = 1.0x103kg/m3
KE=ρv²/2= 1•10³•0.5²/2=125 J
Thank you
my dear , how did you get this formula of KE, KE=mv2/2 and the mass is equal to (rho)(volume ) so KE=(RHO)(VOLUME)(V2)/2 ,, I confused , can you explain more please
KE=mv²/2
m= ρV
kinetic energy per unit volume V
KE₁ =KE/V= mv²/2V =ρV•v²/2V = ρv²/2
To find the kinetic energy per unit volume (KE/V) of blood with a given speed, we can use the formula for kinetic energy:
KE = (1/2) * mass * velocity^2
We are given the density of blood (ρ = 1.0x10³ kg/m³) and the speed of the blood (v = 0.5 m/s). However, we need to find the mass of the blood per unit volume to calculate the kinetic energy.
Mass per unit volume (m/V) is equal to the density (ρ). Therefore, we have:
m/V = ρ = 1.0x10³ kg/m³
Now we can substitute the mass per unit volume and velocity into the kinetic energy formula:
KE/V = (1/2) * (m/V) * v^2
Plugging in the known values:
KE/V = (1/2) * (1.0x10³ kg/m³) * (0.5 m/s)^2
Simplifying the equation:
KE/V = (1/2) * 1.0x10³ * 0.25
KE/V = 125 J/m³
Therefore, the kinetic energy per unit volume of blood with a speed of 0.5 m/s is 125 J/m³.