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 slip with respect to the platform, and that the patient and platform start from rest, determine the recoil velocity.

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Chapter1: Units, Trigonometry. And Vectors
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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
slip with respect to the platform, and that the patient and platform
start from rest, determine the recoil velocity.
Transcribed Image Text: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 slip with respect to the platform, and that the patient and platform start from rest, determine the recoil velocity.
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