1) The velocity of the pin after the collision is 107.4 m/s.
2) The velocity of the two cars as the collision is inelastic is 48.2 m/s.
What is the velocity after collision?
We know that by the principle of the conservation of linear momentum, the momentum before Collison is equal to the total momentum after collision. Now we have to use this principle in the both questions that we have here.
1) Given that;
Total momentum before collision = Total momentum after collision
(41.7 * 59.1) + (4.17 * 0) = (41.7 * 48.35) + ( 4.17 * v)
We then have;
2464 + 0 = 2016 + 4.17v
2464 - 2016 = 4.17v
v = 2464 - 2016 /4.17
v = 107.4 m/s
2) Given that;
Total momentum before collision = Total momentum after collision
(51.3 * 50.1) + (100 * 47.2) = (100 + 51.3)v
2570 + 4720 = 151.3v
v = 2570 + 4720/151.3
v = 48.2 m/s
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