Two forces $$F1$$→ and $$F2$$→ are acting on a body. The body is found to move along positive $$x-axis$$ with acceleration $$3$$ $$m/s2$$. When $$F2$$→ is reversed, the body is found to move along positive $$y-axis$$ with acceleration $$4$$ $$m/s2$$. What will be the acceleration of the body if only $$F1$$→ acts on it ?

Question

Two forces $$F1$$→  and  $$F2$$→  are acting on a body. The body is found to move along positive $$x-axis$$ with acceleration $$3$$ $$m/s2$$. When $$F2$$→  is reversed, the body is found to move along positive $$y-axis$$ with acceleration $$4$$ $$m/s2$$. What will be the acceleration of the body if only $$F1$$→  acts on it ?

Infinity Learn · Accepted Answer

$$F1$$→  $$+$$  $$F2$$→  $$=$$  $$3mi^$$  $$m/s2F1$$→  $$-$$  $$F2$$→  $$=$$  $$4mj^$$  $$m/s2Adding$$, $$2F1$$→   $$=$$  $$m3i^$$  $$+$$  $$4j^$$  $$m/s2$$⇒$$F1$$→ m  $$=$$  $$123i^$$  $$+$$  $$4j^$$  $$m/s2$$∴     $$a=$$ F→$$1$$ m  $$=$$  $$52$$  $$m/s2$$ $$=2.5$$  $$m/s2$$

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Two forces F1→ and F2→ are acting on a body. The body is found to move along positive x-axis with acceleration 3 m/s2. When F2→ is reversed, the body is found to move along positive y-axis with acceleration 4 m/s2. What will be the acceleration of the body if only F1→ acts on it ?

F1→ + F2→ = 3mi^ m/s2F1→ - F2→ = 4mj^ m/s2Adding, 2F1→ = m3i^ + 4j^ m/s2⇒F1→ m = 123i^ + 4j^ m/s2∴ a= F→1 m = 52 m/s2 =2.5 m/s2

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