Final answer:
The magnitude of the acceleration of blood by the left ventricle of the heart is 208.06 cm/s², calculated using the kinematic formula v² = u² + 2as.
Step-by-step explanation:
The question is asking for the magnitude of the acceleration of the blood that is being pumped by the left ventricle of the heart. The blood accelerates from rest to a speed of 27.5 cm/s over a distance of 1.81 cm. To determine the acceleration, we can use the kinematic equation:
v2 = u2 + 2as
Where 'v' is the final velocity, 'u' is the initial velocity (zero in this case), 'a' is the acceleration, and 's' is the distance covered. Plugging in the values we have:
(27.5 cm/s)2 = (0 cm/s)2 + 2 · a · 1.81 cm
Simplifying, we find:
a = (27.5 cm/s)2 / (2 · 1.81 cm)
a = 208.06 cm/s2
Therefore, the magnitude of the acceleration of the blood is 208.06 cm/s2.