In the diagram shown, the normal reaction force between 2 kg2 \mathrm{~kg}2 kg and 1 kg1 \mathrm{~kg}1 kg is (Given g=10 ms−2g=10 \mathrm{~ms}^{-2}g=10 ms−2) (Consider the surface, to be smooth):
Held on 30 Apr 2022 · Verified 9 Jul 2026.
25 N25 \mathrm{~N}25 N
39 N39 \mathrm{~N}39 N
6 N6 \mathrm{~N}6 N
10 N10 \mathrm{~N}10 N
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Total force along inclined plane, f=−F1+6gsin30∘+F2f=−60+6gsin30∘+18f=−60+6×10×12+18f=12 N (downwards) acceleration, a=fm=126=2 m/s2\begin{aligned} f & =-\mathrm{F}_1+6 g \sin 30^{\circ}+\mathrm{F}_2 \\ f & =-60+6 g \sin 30^{\circ}+18 \\ f & =-60+6 \times 10 \times \frac{1}{2}+18 \\ f & =12 \mathrm{~N} \text { (downwards) } \\ \text {acceleration, } a & =\frac{f}{m}=\frac{12}{6}=2 \mathrm{~m} / \mathrm{s}^2 \end{aligned}ffffacceleration, a=−F1+6gsin30∘+F2=−60+6gsin30∘+18=−60+6×10×21+18=12 N (downwards) =mf=612=2 m/s2 As per question, the normal force between 2 kg2 \mathrm{~kg}2 kg and 1 kg1 \mathrm{~kg}1 kg is, N−18−10sin30∘=ma N−18−10×12=1×2 N=2+23 N=25 N\begin{aligned} \mathrm{N}-18-10 \sin 30^{\circ} & =m a \\ \mathrm{~N}-18-10 \times \frac{1}{2} & =1 \times 2 \\ \mathrm{~N} & =2+23 \\ \mathrm{~N} & =25 \mathrm{~N} \end{aligned}N−18−10sin30∘ N−18−10×21 N N=ma=1×2=2+23=25 N
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