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oblem 9.13 20110 ? Part A A child in a boat throws a 4.35-kg package out horzontally with a speed of 100 m/s. (Figure 1) Calculate the velocity of the boat immediately after, assuming it was initially at rest The mass of the child is 23.0 kg and that of the boat is 350 kg (Take the packages directio of motion as positive) m/s Figure 1 of 1 Submi BenuestAnswer Next > Provide Feedback 100s 0
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Answer #1

Let mass of the package m = 4.35 kg

mass of the boat and child is M = (23 + 35) = 58 kg


The initial momentum is zero

the velocity of the package is v = 10 m/s

let the velocity of boat is v(boat)

From conservation of momentum

Initial momentum = final momentum

0 = (m * v) + (M * v(boat))


0 = (4.35 * 10) + (58 * v(boat))


v(boat) = - 0.75 m/s

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