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CBSE Class 11-science Answered

Slove the questions 
question image
Asked by arya7117aman | 13 Sep, 2019, 12:18: PM
answered-by-expert Expert Answer
Force = 10i - 3j + 6k 
Initial position = 6i + 5k - 3k
Final position = 10i - 2j +7k 
 
We know, Work done, 
W space equals F with rightwards arrow on top. space d with rightwards arrow on top space  
Let us first calculate displacement. 
Displacement is nothing but the difference between the final position and initial position. 
Thus,  
d space equals space space open parentheses 10 i with hat on top space minus space 2 j with hat on top space plus space 7 k with hat on top space close parentheses space minus open parentheses space 6 i with hat on top space plus space 5 k with hat on top space minus space 3 k with hat on top close parentheses space equals space open parentheses 4 stack i space with hat on top minus space 7 j with hat on top space plus 10 k with hat on top close parentheses space T h u s comma space W o r k space d o n e comma space W space equals space open parentheses 10 i with hat on top space minus space 3 j with hat on top space plus space 6 k with hat on top space close parentheses. open parentheses 4 stack i space with hat on top minus space 7 j with hat on top space plus 10 k with hat on top close parentheses therefore W space equals space left parenthesis 10 cross times 4 right parenthesis plus open parentheses left parenthesis negative 3 right parenthesis cross times left parenthesis negative 7 right parenthesis close parentheses plus open parentheses 6 cross times 10 close parentheses space equals space 40 space plus 21 plus 60 space equals space 121 space J space
Thus, work done = 121 J 
Answered by Shiwani Sawant | 13 Sep, 2019, 02:19: PM

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