Physics - NLM Question with Solution | TestHub

A block tied between two springs is in equilibrium. If upper spring is cut then the acceleration of the block just after cut is $6\mathrm{m}/{\mathrm{s}}^2$downwards. Now, if instead of upper spring, lower spring is being cut then the acceleration of the block just after the cut will be ____ $\mathrm{m}/{\mathrm{s}}^2$.

$$\mathrm{m}/{\mathrm{s}}^2$$

____ $\mathrm{m}/{\mathrm{s}}^2$

$${\mathrm{F}}_1+{\mathrm{F}}_2=\mathrm{mg}$$

If upper string is cut ${\mathrm{F}}_1=0$

Given $\mathrm{a}=6\mathrm{m}/{\mathrm{s}}^2$

$$\begin{array}{llcc}\Rightarrow & 6=\mathrm{g}-\frac{{\mathrm{F}}_2}{\mathrm{m}}\Rightarrow & 6=10-\frac{{\mathrm{F}}_2}{\mathrm{m}}\Rightarrow & {\mathrm{F}}_2=4\mathrm{m}\end{array}$$

If lower string is cut ${\mathrm{F}}_2=0$

$$\mathrm{g}-\frac{{\mathrm{F}}_1}{\mathrm{m}}={\mathrm{a}}_1\Rightarrow {\mathrm{a}}_1=4\mathrm{m}/{\mathrm{s}}^2$$