Question Four forces (measured in Newtons) act on a crate. The forces are given by the vectors: F₁ = 2121-136ĵ+241k N. F₂ = 108 + 144) + 189k N. F₂ = -400 + 180j + 240k N, and F₂ = -270k N Given: The magnitude of the resultant force = 449.2 N. The work done by the force F, is 770.3J. • The moment of the force F₂ = (-108î - 180k) N/m a) What is the angle (in degrees to 2 decimal places) between the force vectors F₂ and F3? b) What is the force vector, F, that acts in the opposite direction to the force F₂ and has magnitude of 203 Newtons?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Four forces (measured in Newtons) act on a crate. The forces are given by the vectors:
F₁ = 2121-136ĵ+ 241k N, F₂ = 108î+ 144) + 189k N.
F3 = -400 + 180) + 240k N, and F₂ = -270k N
Given:
The magnitude of the resultant force = 449.2 N.
The work done by the force F is 770.3J.
The moment of the force F₂ = (-108î - 180k) N/m
a) What is the angle (in degrees to 2 decimal places) between the force vectors F₂ and
F3?
b) What is the force vector, F, that acts in the opposite direction to the force F₂ and has
magnitude of 203 Newtons?
Transcribed Image Text:Question Four forces (measured in Newtons) act on a crate. The forces are given by the vectors: F₁ = 2121-136ĵ+ 241k N, F₂ = 108î+ 144) + 189k N. F3 = -400 + 180) + 240k N, and F₂ = -270k N Given: The magnitude of the resultant force = 449.2 N. The work done by the force F is 770.3J. The moment of the force F₂ = (-108î - 180k) N/m a) What is the angle (in degrees to 2 decimal places) between the force vectors F₂ and F3? b) What is the force vector, F, that acts in the opposite direction to the force F₂ and has magnitude of 203 Newtons?
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