Ballistocardiography is a branch of medical technology used in the diagnosis of

Question

Ballistocardiography is a branch of medical technology used in the diagnosis of heart disease. The patient lies on a platform that is supported on a nearly frictionless surface. The beating of the heart and the flow of blood produce small but measurable oscillations in the position of the platform. A record of the displacement of the platform as a function of time is related to the patient's blood flow and can be used to detect cardiovascular disorders. The total linear momentum of the blood is a function of the speed and quantity of blood moving through the body.

(a) Find the change in linear momentum of the blood during an interval of 1.00 10-2 s in which the platform moves 2.90 10-4 cm to the right at an approximately constant acceleration of 1.80 10-2 m/s2. The mass of the entire system is 121 kg, of which 5.0 kg is the mass of the blood.

(b) What is the change in the x component of the blood's center-of-mass velocity during the interval described in part b?

Explanation / Answer

Given time t = 1.00 *10-2 s acceleration of blood a = 1.80*10-2 m/s2 mass of blood is    m = 5.0 kg Change in momentum of blood during a time interval                     P = F . t                             = ( m a ) t                             = ( 5.0 kg ) ( 1.80*10-2 m/s2 ) ( 1.00*10-2 s )                             = 9*10 -4 kg m/s    ______________________________________________________ ______________________________________________________

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