QQuestionPhysics
QuestionPhysics
An 80.0 kg man is standing on a frictionless ice surface when he throws a 2.00 kg book at 10.0 m/s. With what velocity does the man move across the ice?
6 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1: Write down the principle of conservation of momentum.
The total momentum of a closed system remains constant before and after an interaction, assuming no external forces act on the system. In this case, the man and the book form a closed system.
Step 2: Express the principle of conservation of momentum mathematically.
m_{man} v_{man,i} + m_{book} v_{book,i} = m_{man} v_{man,f} + m_{book} v_{book,f}
Let m\_man be the mass of the man, m\_book be the mass of the book, v\_man,i be the initial velocity of the man, v\_book,i be the initial velocity of the book, v\_man,f be the final velocity of the man, and v\_book,f be the final velocity of the book. Then, the principle of conservation of momentum can be written as:
Final Answer
The man moves across the ice with a velocity of 0.25 m/s.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students