Math Problem Statement

  1. A 5.5kg pot is being pulled upward at a rate of 0.75 m/s² as a result of an upward force of tension from a rope tied to the pot's handle. How much tension is acting on the rope? Illustrate the figure.

Solution

Here is the illustration showing the forces acting on the pot. The tension force is labeled as T=58.08 NT = 58.08 \, \text{N}, acting upward, and the gravitational force Fg=53.955 NF_g = 53.955 \, \text{N} is acting downward.

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Math Problem Analysis

Mathematical Concepts

Newton's Second Law of Motion
Forces
Tension in a Rope
Gravitational Force

Formulas

Newton's Second Law: F = ma
Gravitational Force: F_g = mg
Tension Force: T = ma + mg

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 9-11

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