College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 6, Problem 60AP
In research in cardiology and exercise physiology, it is often important to know the mast of blood pumped by a person’s bran in one stroke. This information can be obtained by means of a ballistocardiograph. The instrument works as follows: The subject lies on a horizontal pallet floating on a film of air. Friction on the pallet is negligible. Initially, the momentum of the system is zero. When the heart beats, it expels a mass m of blood into the aorta with speed v, and the body and platform move in the opposite direction with speed V. The speed of the blood tan be determined independently (e.g., by observing an ultrasound Doppler shift). Assume that the blood’s speed is 50.0 cm/s in one typical trial. The mass of the subject plus the pallet is 54.0 kg. The pallet moves at a speed of 6.00 × 10−5 m in 0.160 s after one heartbeat. Calculate the mass of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person. This simplified example illustrates the principle of ballistocardiography, but in practice a more sophisticated model of heart function is used.
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is shown in fig (1),m2 = 2 kg, h2 = 3 m ,ml = 4 kg, , hl = 0.95 m, and µk = 0.25.
estimate (a) the velocity vl of mass ml as it hits the ground.(b) the kineticenergy of ml
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During a violent thunderstorm, hail of diameter 0.59 cm falls directly downward at a speed of 30 m/s. There are estimated to be 130 hailstones per cubic meter of air.
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For tests using a ballistocardiograph,
a patient lies on a horizontal
platform that is supported on jets of air Because of the air jets, the
friction impeding the horizontal motion of the platform is
negligible. Each time the heart beats, blood is pushed out of the
heart in a direction that is nearly parallel to the platform. Since
momentum must be conserved, the body and the platform recoil,
and this recoil can be detected to provide information about the
heart. For each beat, suppose that 0.0529 kg of blood is pushed out
of the heart with a velocity of +0.231 m/s and that the mass of the
patient and platform is 80.2 kg. Assuming that the patient does not
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Chapter 6 Solutions
College Physics
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