Question

2. On a boat trip with friends, you are given the
responsibility to make sure the boat doesn’t sink due to

overloading. Your boat is rectangular in shape, with dimensions x =
1.0 m, y = 2.0 m, z = 0.50 m and

a mass 45 kg. The density of water is 1, 000 kg/m3. Being the good
engineer you are, you decide to

test the boat’s loading capacity in a backyard swimming pool before
the trip. The boat’s manufacturer

states that the boat is safe as long as 1/3 of its height is above
the waterline.

(a) What is the maximum mass that can be safely loaded onto your
boat?

(b) To simulate your load, you place bricks in the boat. As you do
so, you notice that a failure is

imminent due to a manufacturing defect, and you quickly begin
throwing bricks out of the boat

and into the pool where they sink. As you do so, does the water
level in the pool rise, fall, or stay

the same? Explain your answer.

(c) After getting all the bricks out, the manufacturing defect
causes a hole to open in the boat, 20 cm

below the waterline. Find the speed of the water as it enters the
boat

Answer #1

Do let me know if you have any confusions.

Do upvote if you like my answer. Thank you.

Best of luck to you.

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