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) \(\mathrm { F } ( t ) = 30 m t \mathbf { i } + 20 m \mathbf { j } + t \mathbf { k }\)

---

Definitions:

Legally Required

Mandates or obligations imposed by law that individuals, organizations, or entities are required to follow.

Overall Strategy

Encompasses the broad, long-term action plans and decisions made by an organization to achieve its major goals and objectives.

Benefits System

A structured plan offered by employers that provides employees with compensation additions, such as health insurance, retirement plans, or paid time off.

HRIS

Human Resource Information System, a software or online solution for managing employee data, payroll, recruitment, and other HR functions.