Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 8, Problem 1P
To determine
The mass of blood that leaves the heart.
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In research in cardiology and exercise physiology, it is often important to know the mass of blood pumped by a person's heart 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 can be determined independently (for example, by observing an ultrasound Doppler shift). Assume that the blood's speed is 45.0 cm/s in one typical trial. The mass of the subject plus the pallet is 54.0 kg. The pallet moves 5.05 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…
In research in cardiology and exercise physiology, it is often important to know the mass of blood pumped by a person’s heart 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 The speed of the blood can 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…
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.
Chapter 8 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
Ch. 8.1 - Two objects have equal kinetic energies. How do...Ch. 8.1 - Your physical education teacher throws a baseball...Ch. 8.3 - Prob. 8.3QQCh. 8.4 - A table-tennis ball is thrown at a stationary...Ch. 8.6 - A baseball bat of uniform denisty is cut at the...Ch. 8.7 - Prob. 8.6QQCh. 8 - Prob. 1OQCh. 8 - A head-on, elastic collision occurs between two...Ch. 8 - Prob. 3OQCh. 8 - A 57.0-g tennis ball is traveling straight at a...
Ch. 8 - A 5-kg cart moving to the right with a speed of 6...Ch. 8 - A 2-kg object moving to the right with a speed of...Ch. 8 - The momentum of an object is increased by a factor...Ch. 8 - The kinetic energy of an object is increased by a...Ch. 8 - Prob. 9OQCh. 8 - Prob. 10OQCh. 8 - Prob. 11OQCh. 8 - Prob. 12OQCh. 8 - Prob. 13OQCh. 8 - A ball is suspended by a string that is tied to a...Ch. 8 - A massive tractor is rolling down a country road....Ch. 8 - Prob. 16OQCh. 8 - Prob. 17OQCh. 8 - Prob. 18OQCh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - A bomb, initially at rest, explodes into several...Ch. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - A juggler juggles three balls in a continuous...Ch. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - An open box slides across a frictionless, icy...Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - A girl of mass mg is standing on a plank of mass...Ch. 8 - Two blocks of masses m and 3m are placed on a...Ch. 8 - Prob. 8PCh. 8 - A 3.00-kg steel ball strikes a wall with a speed...Ch. 8 - A tennis player receives a shot with the ball...Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - In a slow-pitch softball game, a 0.200-kg softball...Ch. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Two blocks are free to slide along the...Ch. 8 - As shown in Figure P8.20, a bullet of mass m and...Ch. 8 - Prob. 21PCh. 8 - A tennis ball of mass mt is held just above a...Ch. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - An object of mass 3.00 kg, moving with an initial...Ch. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - A billiard ball moving at 5.00 m/s strikes a...Ch. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A water molecule consists of an oxygen atom with...Ch. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - A 2.00-kg particle has a velocity (2.00i3.00j)m/s,...Ch. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - A rocket has total mass Mi = 360 kg, including...Ch. 8 - A model rocket engine has an average thrust of...Ch. 8 - Two gliders are set in motion on a horizontal air...Ch. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - A small block of mass m1 = 0.500 kg is released...Ch. 8 - Prob. 56PCh. 8 - A 5.00-g bullet moving with an initial speed of v...Ch. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - A cannon is rigidly attached to a carriage, which...Ch. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - George of the Jungle, with mass m, swings on a...Ch. 8 - Sand from a stationary hopper falls onto a moving...Ch. 8 - Prob. 65P
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