Respuesta :
The conservation of momentum and impulse are the physics principle of the measure the force of the heart's contraction
The momentum is defined as the product of the mass of the body by its speed. If we make the system isolated, the moment or quantity of movement must be conserved since there are external forces.
P = mv
Δp = p_f - p₀
Where p is the momentum, m and v the mass and velocity of the body
In this case we consider the body as an isolated system and if it is immobile, zero velocity, the initial momentum is zero
p₀ = 0
When the heart pumps the room it goes out in one direction and the body recoils in the opposite direction, so the final momentum is
p_f = m v₁ - (M-m) v₂
Where m is the amount of blood pumped, (M-m) the remaining mass of the body, v₁ and v₂ the velocity of the blood and the body
If the body is isolated, the momentum will be preserved
p_f = p₀
m v₁ - (M-m) v₂ = 0
v₁ = [tex]\frac{M-m}{m} \ v_2[/tex]
The To measure the force of the contraction of the heart we use that the impulse is equal to the variation of the momentum
I_ {avg} = F t = ΔP
F = [tex]\frac{\Delta p}{t}[/tex]
Where t is the time and is measured with a stopwatch with the pulsations of each patient.
F = [tex]\frac{m \ v_1 - (M-m) \ v_2 }{t}[/tex]
The construction of a system for the measurement must consist of spring or some means of oscillation and use the movement to measure the recoil speed of the patient which is small.
In conclusion, we use the conservation of momentum and impulse are the physics principle of the measure the force of the heart's contraction .
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