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43. A 40.0 kg child is standing on a 42 kg raft that is drifting with a velocity Of 1.2 m/s [N]
relative to the water. The child walks on the raft with a net velocity of 0.71 m/s [E]
relative to the water. Fluid friction between the raft and the water is negligible.
Determine the resulting velocity of the raft relative to the water. i and j vectors are not
permitted
ms: Yokg + y 2 kg
8249
V3 = 1.2-13 [N]
Ps= msus
- 8245 × 1.2~15
= 98.4 IV (N)
P(= meve
-4045 x 0.71m1s
= 28.4 N [E)
PR = Ps- PC
IPAI= √(98.4 11)² + (2 8.41²
- to 2.416 IV
102.4
0
28.4
98.4
0: tun" (24)
= 73.1°
VAE
PA
= 102.4/6kg.~/3 (33.3%) 40
4289
= 2₁4) 8 m/s [E73.1'1V)
i resulting vector
is 2.4m/s [ F 74²1]
91
Transcribed Image Text:43. A 40.0 kg child is standing on a 42 kg raft that is drifting with a velocity Of 1.2 m/s [N] relative to the water. The child walks on the raft with a net velocity of 0.71 m/s [E] relative to the water. Fluid friction between the raft and the water is negligible. Determine the resulting velocity of the raft relative to the water. i and j vectors are not permitted ms: Yokg + y 2 kg 8249 V3 = 1.2-13 [N] Ps= msus - 8245 × 1.2~15 = 98.4 IV (N) P(= meve -4045 x 0.71m1s = 28.4 N [E) PR = Ps- PC IPAI= √(98.4 11)² + (2 8.41² - to 2.416 IV 102.4 0 28.4 98.4 0: tun" (24) = 73.1° VAE PA = 102.4/6kg.~/3 (33.3%) 40 4289 = 2₁4) 8 m/s [E73.1'1V) i resulting vector is 2.4m/s [ F 74²1] 91
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