A rectangular barge, 5 m long and 2 m wide, floats in freshwater. a. Find how much deeper it floatswhen its load is a 400 kg horse. b. If the barge can only be pushed15 cm deeper into the water before water overflows tosink it, how many 400 kg horses can it carry?

Kaycee Roche

Kaycee Roche

Answered question

2021-05-13

A rectangular barge, 5 m long and 2 m wide, floats in freshwater.
a. Find how much deeper it floatswhen its load is a 400 kg horse.
b. If the barge can only be pushed15 cm deeper into the water before water overflows tosink it, how many 400 kg horses can it carry?

Answer & Explanation

nitruraviX

nitruraviX

Skilled2021-05-15Added 101 answers

1. Buoyant Force = Weight of displaced fluid
W=ρVg
W=(1.00e3kgm3)(5×2×h)(9.8ms2)=400kg×9.8ms2
Solve for h. h = .04
for part b.
W=(1.00e3 kgm3)(5×2×.15)(9.8ms2)=14700 weight
147009.8=1500 kg
1 horse = 400 kg 3.75horses = 1500

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