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A U-Tube Has Dissimilar Arms, One Having Twice the Diameter

question 9

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A U-tube has dissimilar arms, one having twice the diameter of the other.It contains an incompressible fluid and is fitted with a sliding piston in each arm, with each piston in contact with the fluid.When an applied force does work W in pushing the piston in the narrow arm down, the fluid does work __________ on the piston in the wide arm.


Definitions:

N Th Term

A term in a sequence or series that is specified by its position (n), often expressed as a formula in terms of n.

Expansion

The process of simplifying expressions by removing brackets in algebra.

Binomial Coefficient

A numerical factor that multiplies the successive terms in the expansion of a binomial raised to a power, often denoted as C(n, k) or \( \binom{n}{k} \).

N Th Term

Refers to a specific element in a sequence that can be found using a formula, often used to determine patterns in sequences.

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