Question

10) Over a given region, a force (in Newton) varies as F = 3x2 - 2x + 1. In this region an objet
displaced from x1 = 20 cm to x2 = 40 cm by the given force. Calculate the amount of
done​

Answer 1

Answer:

workdone by body =

upper limit = 40

integration sign (3x² - 2x + 1) dx

lower limit = 20

upper limit = 40

= [ (3x³)/(3) - (2x²) /( 2) + x ]

lower limit = 20

upper limit = 40

= [ (x³) - (x²) + x ]

lower limit = 20

= [ (40 ³) - (40 ²) + 40] - [20 ³ - 20² + 20 ]

= [ 64000 - 1600 - 8000+ 400 + 20

= 48000 - 1200 + 20

= 47800 + 20 = 47820

In SI = 47820 x 10^(-2)

= 478.2