A) \[7.5\text{ }m\text{ }{{s}^{-2}}\]
B) \[1.25\text{ }m\text{ }{{s}^{-2}}\]
C) \[5\text{ }m\text{ }{{s}^{-2}}\]
D) \[2.5\text{ }m\text{ }{{s}^{-2}}\]
Correct Answer: D
Solution :
Here, \[{{m}_{b}}=2kg,\frac{{{m}_{w}}}{t}=1kg\,\,{{s}^{-1}}\] \[v=5m{{s}^{-1}},a=?\] So, \[{{F}_{b}}={{m}_{b}}a\] and \[{{F}_{w}}=\frac{{{m}_{w}}}{t}\cdot v\] Force exerted by water on the block makes it accelerate initially. Thus, \[{{F}_{b}}={{F}_{w}}\] or \[{{m}_{b}}a=\frac{{{m}_{w}}}{t}v\] Or \[a=\frac{1\times 5}{2}\] or \[a=2.5m{{s}^{-2}}\]
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