A particle moves along the x−axis from x=1 m to x=3 m under the influence of a force F=3x2−2x+5 newton acting along x− axis. The work done in this process is
A
9 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
28 J
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
27 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
zero
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B28 J Work done by a variable force is W=∫31F.dx=∫31(3x2−2x+5)dx =[x3−x2+5x]31=[(27−9+15)−(1−1+5)]=28 J Hence, the correct answer is option (b).