1. Ricky. mass 95 kg, and Cathy, who is lighter, are enjoying Lake Mendota at du

Question

1. Ricky. mass 95 kg, and Cathy, who is lighter, are enjoying Lake Mendota at dusk in a 20 kg canoe that is 3.0 m long. When the canoe is at rest in placid water, they exchange seats, which are at the ends of the canoe. Ricky notices the canoe moved 30 cm relative to a submerged rock during the exchange and uses that to calculate Cathy?s mass. What is Cathy?s mass? 2. Two billiard balls of equal mass were moving at right angles when they collided. Initially ball A had velocity 2.0 m/s and ball B had velocity 3.7 m/s. After the elastic collision, ball B moved off in the positive direction. a. Determine the final direction of ball A. b. Determine the final speeds of each ball.

Explanation / Answer

Here ,

let the mass of cathy is m Kg

Now, as there is no external force acting on the boat-persons system ,

the displacement of center of mass of system will be zero ,

Now,as cathy is lighter the boat will be move to the direction in which cathy is moving to balance the motion of Ricky .

Now,as the displacement of centre of mass is zero ,

m*(3 + 0.3) + 20 * 0.3 - 95 *(3 - 0.3) = 0

solving for m

m = 75.9 kg

the mass of cathy is 75.9 kg

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