A) (i) 10 J, (ii) \[-8.75\,J\]
B) (i) 10 J, (ii) \[\text{ }8.25\text{ }J\]
C) (i) 1.25 J , (ii) \[\text{ }8.25\text{ }J\]
D) (i) 100 J, (ii) 8.75 J
Correct Answer: A
Solution :
[a] \[{{w}_{g}}{{w}_{a}}={{K}_{f}}-{{K}_{i}}\] |
\[mgh+{{w}_{a}}=\frac{1}{2}m{{v}^{2}}-0\] |
\[{{10}^{-3}}\times 10\times {{10}^{3}}+{{w}_{a}}=\frac{1}{2}\times {{10}^{-3}}\times {{(50)}^{2}}\] |
\[{{w}_{a}}=-8.75\,J\] |
i.e. work done due to air resistance and work done due to gravity \[=\text{ }10\text{ }J\] |
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