Aboat has a mass of 20 kg and will carry 110 kg of passengers across a pool. if 50% of the boat is submerged, what is the total volume of the boat?

0.26 m³

Explanation:

There are three forces on the boat: weight of the boat, weight of the passengers, and buoyancy.

∑F = ma

B - mg - Mg = 0

Buoyant force is equal to the weight of the fluid displaced.

ρVg - mg - Mg = 0

ρV - m - M = 0

V = (m + M) / ρ

Given m = 20 kg, M = 110 kg, and ρ = 1000 kg/m³:

V = (20 + 110) / 1000

V = 0.13 m³

Since this is half of the boat's volume, the total volume is 0.26 m³.

work: w = fd (given)

work done by chet   =50*1 = 50 j

work done by mika =40*2 = 80 j

work done by sara =30*1.5 = 45 j

work done by bill =60*0.5 = 30 j

students in order from the greatest amount of work done to the least is mika> chet> sara> bill

hence option (b) is correct.

the area between the graph and the t axis