[A] A force F has a magnitude of 15 newtons and has the same direction (but different magnitude as the vector v = 2i + j + 2k. This force pushes an object on a ramp in a straight line from th point P(4, 2, 5) to the point Q(5, 4, 8), where the coordinates are measured in meters. (A.1) Find the force F by writing it in terms of the standard unit vectors, i, j, and k. (A.2) Determine how much work is done by the force in moving the object from P to Q as described above. Round your answer to the nearest tenth of the approprite units.
[A] A force F has a magnitude of 15 newtons and has the same direction (but different magnitude as the vector v = 2i + j + 2k. This force pushes an object on a ramp in a straight line from th point P(4, 2, 5) to the point Q(5, 4, 8), where the coordinates are measured in meters. (A.1) Find the force F by writing it in terms of the standard unit vectors, i, j, and k. (A.2) Determine how much work is done by the force in moving the object from P to Q as described above. Round your answer to the nearest tenth of the approprite units.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![[A] A force **F** has a magnitude of 15 newtons and has the same direction (but different magnitude) as the vector **v** = 2**i** + **j** + 2**k**. This force pushes an object on a ramp in a straight line from the point **P** (4, 2, 5) to the point **Q** (5, 4, 8), where the coordinates are measured in meters.
(A.1) Find the force **F** by writing it in terms of the standard unit vectors, **i**, **j**, and **k**.
(A.2) Determine how much work is done by the force in moving the object from **P** to **Q** as described above. Round your answer to the nearest tenth of the appropriate units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F093e7116-3e01-49ad-9157-7a22a5caeb16%2Fa8cb0732-2e24-48a3-a7cd-efc016545f34%2Frszahl_processed.png&w=3840&q=75)
Transcribed Image Text:[A] A force **F** has a magnitude of 15 newtons and has the same direction (but different magnitude) as the vector **v** = 2**i** + **j** + 2**k**. This force pushes an object on a ramp in a straight line from the point **P** (4, 2, 5) to the point **Q** (5, 4, 8), where the coordinates are measured in meters.
(A.1) Find the force **F** by writing it in terms of the standard unit vectors, **i**, **j**, and **k**.
(A.2) Determine how much work is done by the force in moving the object from **P** to **Q** as described above. Round your answer to the nearest tenth of the appropriate units.
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