Quick Physics No. 2

A streamlined body falls into a liquid. The time (in seconds) of immersion of the body is?

Details and Assumptions

  • Specific Gravity of object is 1.5, Specific Gravity of liquid = 9.0

  • Height from which the object fell is 20 meters.

  • Acceleration due to gravity is g = 10 m/s 2 g= 10 \text{ m/s}^2 .

  • Time of immersion means the time from hitting the surface of the liquid till coming to rest due to influence of buoyant force.

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The answer is 0.4.

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3 solutions

Darryl Dennis
Aug 21, 2015

I think there is a bit of ambiguity in this question. It is not 100 % clear if the answer expected is the time including the drop time before hitting the surface or just the time the body is in the liquid. I suppose we can infer that the time of immersion implies that time T= 0 is the instant the body enters the liquid. I think it would be more clear to state that in the assumptions.

yea.. u r r8...

Sriram Vudayagiri - 5 years, 8 months ago
Galen Buhain
Dec 29, 2016

v = √2gh = √ 2 10 20 = √400 = 20 m/s

Fa - W = m a 90 Vb - 15 Vb = 1.5 Vb a 75 = 1.5 a a = 50 m/s2

vt = vo - at 0 = 20 - 50t 50t = 20 t = 0.4 s

Severina Effendi
Sep 19, 2015

v = √2gh = √ 2 10 20 = √400 = 20 m/s

Fa - W = m a 90 Vb - 15 Vb = 1.5 Vb a 75 = 1.5 a a = 50 m/s2

vt = vo - at 0 = 20 - 50t 50t = 20 t = 0.4 s

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