Three forces F₁,F₂ and F₃act on an object.If F₁ = 3N i + 5N j + 7N k,F₂ = -5N i - 2N j -2N k,and the object is moving at constant velocity then the vector force F₃ is A)-2N i - 3N j - 5N k B)2N i - 3N j - 5N k C)2N i + 3N j - 5N k D)-8N i - 7N j - 9N k E)8N i + 7 N j +9N k

Question

Quizplus · Accepted Answer

Since the object is moving at constant velocity, the net force acting on it is zero. Therefore, the vector sum of the three forces must be zero. We can find the vector sum as follows: F₃ = - F₁ - F₂ Substituting the given values, we get: F₃ = - 3N i - 5N j - 7N k - 105N i - 102N j -102N k = - 108N i - 7N j - 9N k Therefore, the answer is choice B: 2N i - 3N j + 5N k.

Three Forces F1,F2 and F3 act on an Object

Three Forces F₁,F₂ and F₃act on an Object