An object of mass 2kg is placed in a frame (S1) moving with velocity 10i^+5j^m/sec and having acceleration 10i^+5j^ m/sec2.This object is also seen by an observer in a frame (S2) moving with velocity 5i^+10j^ m/sec. The magnitude of net force acting (in newton) on object with respect to S2 frame is___________ (take 5=2.236)

Since S2 is inertial frameFnet→=Freal→=ma→=25i^+10j^=10i^+20j^Fnet=102+202=100+400=500=105=10×2.236=22.36

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An object of mass 2kg is placed in a frame (S₁) moving with velocity $(10 \hat{i} + 5 \hat{j})$ m/sec and having acceleration $(10 \hat{i} + 5 \hat{j})$ m/sec².This object is also seen by an observer in a frame (S₂) moving with velocity $(5 \hat{i} + 10 \hat{j})$ m/sec. The magnitude of net force acting (in newton) on object with respect to S₂frame is___________ (take $\sqrt{5} = 2.236$ )

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answer is 22.36.

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Since S₂ is inertial frame

$\vec{F_{net}} = \vec{F_{real}} = m \vec{a}$

$= 2 (5 \hat{i} + 10 \hat{j})$ = $10 \hat{i} + 20 \hat{j}$

$F_{n e t} = \sqrt{{(10)}^{2} + {(20)}^{2}} = \sqrt{100 + 400} = \sqrt{500} = 10 \sqrt{5}$

$= 10 \times 2.236 = 22.36$

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