Suppose one cylinder is bolted to a sturdy ceiling. How many 81 kg football players would need to hang from the lower cylinder to pull the two cylinders apart

This question is incomplete, the complete question is;

The two 60 cm in diameter cylinders in Figure 13.15, closed at one end, open at the other, are joined to form a single cylinder, then the air inside is removed.

a) How much force does the atmosphere exert on the flat end of each cylinder?

b) Suppose one cylinder is bolted to a sturdy ceiling. How many 81 kg football players would need to hang from the lower cylinder to pull the two cylinders apart ?

a) the atmosphere exert a force of 2.9 × 10⁴ N on the flat end of each cylinder

b) 36 football players each of 81 kg are needed to pull the two cylinders apart.

Explanation:

Given that;

diameter of cylinder is 60 cm = 0.6 m

then radius r will be 0.6/2 = 0.3 m

a)

How much force does the atmosphere exert on the flat end of each cylinder;

we know that; F = PA

inside its the flats end that its in question; Area A = πr².

We Know that, Pressure P due to atmosphere is 1.013 × 10⁵ Pa

so, F = 1.013 × 10⁵ Pa × π( 0.3 )²

F = 1.013 × 10⁵ Pa × 0.09π

F =  28641.9 N ≈ 2.9 × 10⁴ N

Therefore, the atmosphere exert a force of 2.9 × 10⁴ N on the flat end of each cylinder.

b) number of players needed to pull the two cylinders apart.

given that; m = 81 kg and g is 9.8 m/s²

n = F / mg

we substitute

n = 28641.9 / (81 × 9.8)

n = 28641.9 / 793.8

n = 36.08 ≈ 36

Therefore, 36 football players each of 81 kg are needed to pull the two cylinders apart.

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