Chapter 9: Q. 79 (page 622)

Work
Find the work done in moving an object along a vector $u = 3 i + 2 j - 5 k$ if the applied force is $F = 2 i - j - k$ . Use meters for distance and newtons for force.

Short Answer

Expert verified

Work done is $9 N m$

Step by step solution

Step 1. Given information

Force vector and direction vector are given as $F = 2 i - j - k$ and $u = 3 i + 2 j - 5 k$ respectively.

Step 2. Finding Work

Work is simply dot product of force vector and direction vector.

$W = F \cdot \vec{u} = (2 i - j - k) \cdot (3 i + 2 j - 5 k) = (2 \cdot 3 + (- 1) \cdot 2 + (- 1) \cdot (- 5)) = (6 - 2 + 5) = 9$

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Work
Find the work done in moving an object along a vector $u = 3 i + 2 j - 5 k$ if the applied force is $F = 2 i - j - k$ . Use meters for distance and newtons for force.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding Work

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WorkFind the work done in moving an object along a vector u=3i+2j-5k if the applied force is F=2i-j-k. Use meters for distance and newtons for force.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding Work

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Geometry

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Work
Find the work done in moving an object along a vector $u = 3 i + 2 j - 5 k$ if the applied force is $F = 2 i - j - k$ . Use meters for distance and newtons for force.