A Tiny Dust Particle of Mass $8.50 \mu \mathrm { g }$

question 22

Short Answer

A tiny dust particle of mass $8.50 \mu \mathrm { g }$ is being observed under a microscope. Its position is determined to be within a space of $0.0060 \mathrm {~mm}$ . ( $h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )
(a) Find the uncertainty in its speed implied by the uncertainty in its position.
(b) Assuming the dust particle is moving at the speed in part (a), how many years would it take for the particle to move $1.0 \mathrm {~mm}$ ?

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Definitions:

Economies of Scale

Cost advantages that enterprises obtain due to size, output, or scale of operation, with cost per unit of output generally decreasing with increasing scale as fixed costs are spread out over more units of output.

White Knight

A corporation or individual that acquires a corporation on the verge of being taken over by forces deemed undesirable by the company's board or management.

Hostile Takeover

An acquisition attempt by a company or investor to acquire another company against the wishes of the target company's management and board of directors.

Joint Venture

Typically, an agreement between firms to create a separate, co-owned entity established to pursue a joint goal.