The EF 158 class decides to conduct an experiment in which they build a boat out

Question

The EF 158 class decides to conduct an experiment in which they build a boat out of aluminum foil and see how many students can fit into the boat along side their 3.79 slug professor before it sinks into the Tennessee River. They use 63 rolls of aluminum foil (3.5 Ib/roll) to build a box shaped boat with dimensions of 4.5 Times 8.5 Times 3.8 ft. If the prof plus 40 students cause the boat to just start to sink, what is the average mass of an EF 158 student? (include units with answer) A 0.21 inch diameter hole is punched in the bottom of a 2.3 inch diameter can. The can is open at the top and contains 13 oz of liquid. What is the initial velocity of the liquid coming out of the hole? (include units with answer)

Explanation / Answer

Part C)

This is a case of thrust, where the weight of aluminum cans plus the weight of the student is equal to the thrust of water output

We calculate the thrust

B = g V

V = 4.5 8.5 3.8

V = 145.35 ft3

B = 62.4332 145.35

B = 290467.44 lb

We calculate weight

Wt = m (boat)g + 41 mman g

W (boat) =63 roll 3.5 lb/ roll = 220.5 lb

Wt = B

220.5 + 41 Wman = 290467.44

Wman = (290467.44 – 220.5)/41

Wman = 7079 lb

m = W/g

m = 7079/32

m = 221 slug

Part D)

Q = A v

A = (D/2)2

A = 3.819 10-4 inch2

Q = 13 oz

v = Q/A

v = 13/ 3.819 10-4

v = 3.40 104 inc/s

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