A 4,000 kg boat floats with one-third of its volume submerged. if two more people get into the boat, each of whom weighs 690 n, what additional volume of water is displaced?

Question

Physics

Ciara Gentry

9 May, 23:56

A 4,000 kg boat floats with one-third of its volume submerged. if two more people get into the boat, each of whom weighs 690 n, what additional volume of water is displaced?

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Answers (1)

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Khloe Spence · Answer 1

The weightiness of the added water displaced is equivalent to the joined weight of the two extra people who come to be into the boat:

m water g = 2 x 690 N

= 1,380 N

The mass of the water displace is then

m water g = 1,380 N

= 1,380 N / 9.8 m/s^2

= 141 kg

Compute the calculation for density for the volume of water displace and practice this outcome for the mass of the water displace to get the answer:

p water = mass of water / volume of water

volume of water = mass of water / p water

= 141 kg / 1000 kg / m^3 eliminate kilogram

= 0.14 m^3 the additional volume of water that is displaced