If potential energy is given by U= a r^2 - b r . Then find out maximum force. (Given a=2 , b=4)

Step-by-step solution

aligned & F=- d u d r =- [- 2 a r^3 + b r^2 ]= 2 a r^3 - b r^2 & d F d r = -6 a r^4 + 2 b r^3 =0 & 6 a r =2 b r= 3 a b = 6 4 = 3 2 & F_ = 2 2 (3 / 2)^3 - 4 (3 / 2)^2 & = 4 8 27 - 4 4 9 = 32-16 3 27 =- 16 27 aligned