Starting from rest, a partricle is moving along x-axis. The variation of force F with position x is shown in figure. Find the KE of the particle when it has moved from x=1m to x=3m.
A
3.3J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5J
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
4.2J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C5J
From work energy theorem: Wnet=ΔKE...(i)
Initially the particle was at rest KEi=0
Let final kinetic energy be KEf ⇒ΔKE=KEf−0=KEf...(ii)
From (i) & (ii) Eq: Wnet=KEf....(iii)
Also, Wnet= Area under F−x curve ⇒Wnet=Area of rectangle+ Area of trapezium =(1×2)+12×(2+4)×1 ⇒Wnet=5J