What Force Is Required So That a Particle of Mass $m$

question 121

Multiple Choice

What force is required so that a particle of mass $m$ has the following position function?.
$$r ( t ) = 5 t ^ { 3 } \mathbf { i } + 10 t ^ { 2 } \mathbf { j } + 7 t ^ { 3 } \mathbf { k }$$

• A) \(\mathrm { F } ( t ) = 30 m t \mathbf { i } + 20 m \mathbf { j } + 42 m t \mathbf { k }\)
• B) \(\mathrm { F } ( t ) = 30 m t ^ { 2 } \mathbf { i } + 20 m \mathbf { j } + 42 m t \mathbf { k }\)
• C) \(\mathrm { F } ( t ) = 42 m t \mathbf { i } + 42 m \mathbf { j } + 20 m t \mathbf { k }\)
• D) \(\mathrm { F } ( t ) = m t ^ { 2 } \mathbf { i } + 5 m t \mathbf { j } + 10 m t ^ { 2 } \mathbf { k }\)
• E) \(\mathrm { F } ( t ) = 30 m t \mathbf { i } + 20 m \mathbf { j } + t \mathbf { k }\)

Distinguish between homosexual behavior and identities, and understand the social changes that facilitated the development of homosexual identities.

Explore the relationship between the sexual double standard and the politics of sexual health, particularly in relation to STIs and HIV.

Understand the rules and options available to buyers and sellers regarding the risk of loss and destruction of goods.

Recognize the distinction between permissible and impermissible grounds for a seller or buyer to avoid a contract.

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Definitions:

Inference Forms

Standard logical structures that outline the relationship between premises and conclusion, guiding the derivation of the latter from the former.

MP

A shorthand for "Member of Parliament," a representative elected to the legislative body of a country. Alternatively, in logic, it could stand for "Modus Ponens," a form of argument where from premises "If P, then Q" and "P," one concludes "Q."

Inference Forms

Structures of reasoning that establish a conclusion based on one or more premises.

MP

Stands for Modus Ponens, a crucial concept in formal logic entailing that from premises of the form "If P, then Q" and "P is true," one can conclusively deduce "Q must be true."