A ball of aluminum is at a depth of 100.0 m under water whose density is 1,000 kg/m³.The bulk stress on the ball due to the water is A) 1.001 $\times$ 10⁶ Pa. B) 1.081 $\times$ 10⁶ Pa. C) 1.284 $\times$ 10⁶ Pa. D) 2.131 $\times$ 10⁶ Pa. E) 2.326 $\times$ 10⁶ Pa.

Question

Quizplus · Accepted Answer

The bulk stress on the ball due to the water can be calculated using the formula:

ΔP = ρgh

Where:
ΔP = bulk stress
ρ = density of water
g = acceleration due to gravity
h = depth

Substituting the given values:

ΔP = (1000 kg/m3) (9.81 m/s2) (100.0 m)
ΔP = 981000 Pa
ΔP = 9.81×108 Pa

However, the question asks for the answer in GPa (gigapascals), so we need to convert the answer:

ΔP = 9.81×108 Pa = 0.981 GPa

Therefore, the best choice from the given options is B) 1.081×1016 Pa, which is the only option that is close to the calculated value of 0.981 GPa.

A Ball of Aluminum Is at a Depth of 100 ×\times×

A Ball of Aluminum Is at a Depth of 100 $\times$