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A scientist with mass m is sitting on one end of a lifeboat of uniform density with mass 3m3, m. When he spots a rescue chopper in the distance, he walks a distance of L to the other side of the lifeboat to wave for help. Which of the following statements best characterizes the motion of the lifeboat?
  • a)
    The lifeboat shifts in the same direction as the scientist’s motion with constant velocity.
  • b)
    The lifeboat shifts by L/4 in the opposite direction of the scientist’s motion.
  • c)
    The lifeboat does not shift forward or backward as a result of the scientist’s motion.
  • d)
    The lifeboat shifts by the same distance traversed, but in the opposite direction of his motion.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A scientist with massm is sitting on one end of a lifeboat of uniform ...
The formula for center of mass is reminiscent of the equation for conservation of momentum for totally inelastic collisions, except that x replaces v.
Find the center of mass for his first position:
Find the center of mass for his second position. We assume the boat has shifted a distance x’ in the direction opposite the motion of the scientist. If we are wrong then we will get a negative value for x’.
 
The boat starts in equilibrium, and will remain in equilibrium throughout the walk, so the center of mass remains stationary. Therefore we can set the expressions equal to one another to solve for x’:
The correct answer is that the center of mass shifts by L/4 in the opposite direction of the scientist’s motion.
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A scientist with massm is sitting on one end of a lifeboat of uniform ...
B) The lifeboat remains stationary
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A scientist with massm is sitting on one end of a lifeboat of uniform density with mass3m3, m. When he spots a rescue chopper in the distance, he walks a distance ofL to the other side of the lifeboat to wave for help. Which of the following statements best characterizes the motion of the lifeboat?a)The lifeboat shifts in the same direction as the scientist’s motion with constant velocity.b)The lifeboat shifts by L/4 in the opposite direction of the scientist’s motion.c)The lifeboat does not shift forward or backward as a result of the scientist’s motion.d)The lifeboat shifts by the same distance traversed, but in the opposite direction of his motion.Correct answer is option 'B'. Can you explain this answer? for MCAT 2025 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about A scientist with massm is sitting on one end of a lifeboat of uniform density with mass3m3, m. When he spots a rescue chopper in the distance, he walks a distance ofL to the other side of the lifeboat to wave for help. Which of the following statements best characterizes the motion of the lifeboat?a)The lifeboat shifts in the same direction as the scientist’s motion with constant velocity.b)The lifeboat shifts by L/4 in the opposite direction of the scientist’s motion.c)The lifeboat does not shift forward or backward as a result of the scientist’s motion.d)The lifeboat shifts by the same distance traversed, but in the opposite direction of his motion.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for MCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A scientist with massm is sitting on one end of a lifeboat of uniform density with mass3m3, m. When he spots a rescue chopper in the distance, he walks a distance ofL to the other side of the lifeboat to wave for help. Which of the following statements best characterizes the motion of the lifeboat?a)The lifeboat shifts in the same direction as the scientist’s motion with constant velocity.b)The lifeboat shifts by L/4 in the opposite direction of the scientist’s motion.c)The lifeboat does not shift forward or backward as a result of the scientist’s motion.d)The lifeboat shifts by the same distance traversed, but in the opposite direction of his motion.Correct answer is option 'B'. Can you explain this answer?.
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