Question

A cedar raft is 2.4 m wide, 0.30 m high, and 3.0 m long. what is the maximum load (in newtons) the raft can support? assume the density of cedar to be 598 kg/m^3 and ignore the volume of the load.

Answer 1

Answer:

V (volume of cedar raft) = 2.4 * .3 * 3 m^3 = 2.16 m^3

Mass of cedar craft = 2.16 m^3 * 598 kg / m^3 = 1292 kg

That is the mass of the cedar craft = 1292 kg

Mass of water displaced = 2.16 m^3 * 1000 kg / m^3 = 2160 kg

mass of water available for support = 2160 - 1292 = 868 kg

The cedar craft can support a mass of 868 kg

F = m a = 868 kg * 9.80 N / kg = 8510 Newtons