An object of mass 3 m, initially at rest, explodes breaking into two fragments o

Question

An object of mass 3 m, initially at rest, explodes breaking into two fragments of mass m and 2m, respectively. Which one of the following statements concerning the fragments after the explosion is true? 14. Dams at two different locations are needed to form a lake. When the lake is filled the water level will be at the top of both dams. The Dam # 2 is twice as high and twice as wide as Dam # 1. How much greater is the force of the water on Dam #2 than the force on Dam #1? (Ignore atmospheric pressure; it is pushing on both sides of the dams.) A. 2 B. 4 C. 8 D. 16

Explanation / Answer

Pressure is same as for both Dam walls.

and F = PA

A = Area = width x height

w2 = 2 * w1   and h2 =2*h1 ( Given )

A2 = 4 *A1

F2 = PA2 = 4PA1   = 4 F1

Ans. (B)

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