k1 whitewater kayak has a volume of 225 liters 0225 m3 and a

k-1 whitewater kayak has a volume of 225 liters (0.225 m3) and a mass of 10 kg. Sean wonders if the kayak is big enough for him to use. Sean\'s mass is 70Kg. What percent of the kayak will be submerged when sean sits in it? Assume that the water density is 1.00g/cm3

Solution

Answer:

when the lift will be equal to the gravity, the kayak will stop sinking

let us denote

ms - mass of sean

rk - density of kayak.

Vk - volume of kayak.

Vw - volume of displaced water which is in fact the volume of the kayak inside the water.

rw- density of water

so we are looking for Vw/Vk.

ms * g + Vk * rk * g = Vw * rw * g

Since Vk * rk = mk (mass of the kayak)

Vw = (ms + mk) / rw and

Vw/Vk = (ms + mk / (rw*Vk) = 0.355 = 0.36 so the percentage (Vw/Vk) * 100% = 36%