A Small Dust Particle of Mass 7

question 5

Essay

A small dust particle of mass 7.90 × 10^-6 g is being observed under a magnifying lens.Its position is determined to within 0.0050 mm.(1 y = 3.156 × 10⁷ s,h = 6.626 × 10^-34 J ∙ s)
(a)Find the minimum uncertainty in its velocity implied by the uncertainty in its position.
(b)Assuming the dust particle is moving at the speed you just found,how many years would it take for the particle to move 1.0 mm?

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Definitions:

Annual Rate

The interest rate for a period of one year, often used for comparing the yields of financial products.

Deposits

Funds placed into an account at a financial institution for safekeeping or as a pledge for future repayment.

Compounded Semiannually

The process of calculating interest on both the initial principal and the accumulated interest of previous periods on a semiannual basis.

Single Investment

Single investment refers to an investment in only one asset or security, rather than diversifying across multiple investments.