Asked by Michael
A cat crouches on the floor, at a distance of 1.6 m from a desk chair of height .45 m. The cat jumps onto the chair, landing with zero vertical velocity. The desk chair has frictionless coasters and rolls away when the cat lands. The mass of the cat is 5.7 kg and the mass of the chair is 12 kg.
What is the speed of recoil of the chair and cat?
What is the speed of recoil of the chair and cat?
Answers
Answered by
drwls
The time of flight T to the chair can be deduced from the fact that the vertical velocity component is zero at elevation 0.45 m. Thus
(1/2)gT^2 = 0.45 m
T = 0.303 s
Since it travels 1.6 m in that time, you know the horizontal velocity component, 1.6/0.303 = 5.28 m/s
Use that initial (cat) velocity, the chair mass and the law of conservation of momentum to get the speed of recoil of the chair with the cat on it.
(1/2)gT^2 = 0.45 m
T = 0.303 s
Since it travels 1.6 m in that time, you know the horizontal velocity component, 1.6/0.303 = 5.28 m/s
Use that initial (cat) velocity, the chair mass and the law of conservation of momentum to get the speed of recoil of the chair with the cat on it.
Answered by
anthony
5.94m/s
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.