A constant force F = -3₁ +2j-1k & is applied to a object that is moving along a straight line from the point C5, X, 1) Point (3,2,0). Find the to the work done if distance is measured in meters and the force in newtons,

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can anyone please help me to solve these two problems I am stuck on them!
### Problem 1:
A rectangular box has a length of 6 inches, width of 9 inches, and a height of 17 inches. Find the angle between the diagonal of the box and the diagonal of its base. The angle should be measured in radians.

### Problem 2:
A constant force **F** = -3i + 2j - k is applied to an object that is moving along a straight line from the point (5, 2, 1) to the point (3, 2, 0). Find the work done if distance is measured in meters and the force in Newtons.
Transcribed Image Text:### Problem 1: A rectangular box has a length of 6 inches, width of 9 inches, and a height of 17 inches. Find the angle between the diagonal of the box and the diagonal of its base. The angle should be measured in radians. ### Problem 2: A constant force **F** = -3i + 2j - k is applied to an object that is moving along a straight line from the point (5, 2, 1) to the point (3, 2, 0). Find the work done if distance is measured in meters and the force in Newtons.
### Educational Content

#### Problem 1: Geometry of a Rectangular Box

A rectangular box has a length of 6 inches, a width of 9 inches, and a height of 17 inches. Find the angle between the diagonal of the box and the diagonal of its base. The angle should be measured in radians.

#### Problem 2: Physics of Force and Work Done

A constant force \(\mathbf{F} = -3\mathbf{i} + 2\mathbf{j} - \mathbf{k}\) (in Newtons) is applied to an object that is moving along a straight line from the point \((5, 2, 1)\) to the point \((3, 2, 0)\). Find the work done if distance is measured in meters and the force in Newtons.
Transcribed Image Text:### Educational Content #### Problem 1: Geometry of a Rectangular Box A rectangular box has a length of 6 inches, a width of 9 inches, and a height of 17 inches. Find the angle between the diagonal of the box and the diagonal of its base. The angle should be measured in radians. #### Problem 2: Physics of Force and Work Done A constant force \(\mathbf{F} = -3\mathbf{i} + 2\mathbf{j} - \mathbf{k}\) (in Newtons) is applied to an object that is moving along a straight line from the point \((5, 2, 1)\) to the point \((3, 2, 0)\). Find the work done if distance is measured in meters and the force in Newtons.
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