| Statement 1: A man carrying a bucket of water and walking on a rough level road with a uniform velocity does no work while carrying the bucket. |
| Statement 2 : The work done on a body by a force (F) in giving it a displacement (S) is defined as \[W=\overline{F}\cdot \overline{S}=FS\,\,\,\cos \theta \], where \[\theta \] is the angle between vectors \[\overline{F}\] and\[\overline{S}\]. |
A) Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.
B) Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.
C) Statement 1 is true but statement 2 is false.
D) Both statements 1 and 2 are false.
Correct Answer: B
Solution :
While carrying a bucket, angle between vectors F and S becomes \[\text{90 }\!\!{}^\circ\!\!\text{ }\]. So, \[\text{W=}\overrightarrow{\text{F}}\cdot \overrightarrow{\text{S}}\text{ = FS cos }\theta \text{ = FS cos 90 }\!\!{}^\circ\!\!\text{ =0}\text{.}\] Hence, work done is zero.
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