Question

X ^2+x^3+x^4,x=2 and x=8 .Find work done with using integration. ​

Answer 1

WORK , POWER AND ENERGY

Explanation:

★ WORK DONE = {INTEGRAL}F•dx

» But when displacement varies ;

★»» WE USE INTEGRATION ««

» WORK DONE = { INTEGRAL } F • x² + x³ + x⁴

» Work done ( W )= F (constant) ( integral ) • x² + x³ + x⁴

» W = F [ x³/3 + x⁴/4 + x^5/5] (8 → 2) ]

» W = F [ (8)³/3 + (8)⁴/4 + (8)^5/5 - (2)³/3 + (2)⁴/4 + (2)^5/5 ]

» W = F [ {512/3} + {4096/4} + {32768/5} - { 8/3} + {16/4} + {32/5} ]

» W = F [ 170.66 + 1024 + 6553.6 - ( 2.6 + 4 + 6.4 ) ]

» W = F [ 7748 - 13 ]

» W = 7735 F

«★» HENCE WORK DONE IS 7735 TIMES OF FORCE ......