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

Zachery Benton

22 February, 07:08

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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Ramon Costa · 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