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Two skaters each of mass 50 kg, approach...

Two skaters each of mass `50 kg`, approach each other along parallel paths separated by `3m`. They have equal ad opposite velocities of `10 m//s`. The first skater carries a long light pole, `3 m` long, and the second skater grabs the end of it as he passes (assume frictionless ice).
a. Described quantitatively the motion of the skaters after they are connected by the pole.
b. By pulling on the skaters reduce their distance to `1m`. What is their motion then?
c. Compare the `KEs` of the system in parts a. and b. where does the change come from?

Text Solution

AI Generated Solution

To solve the problem step by step, we will break it down into parts a, b, and c as described in the question. ### Part a: Motion of the Skaters After They Are Connected by the Pole 1. **Initial Setup**: - Each skater has a mass \( m = 50 \, \text{kg} \). - They are moving towards each other with velocities \( v_1 = 10 \, \text{m/s} \) and \( v_2 = -10 \, \text{m/s} \) (opposite directions). - The distance between them is \( d = 3 \, \text{m} \). ...
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