The potential energy of a particle of mass 1kg moving along x-axis given by U(x) =[x2/2-x] J if total mechanical - Physics - Work Energy And Power

Question

The potential energy of a particle of mass 1kg moving along x-axis
given by U(x) =[x2/2-x] J if total mechanical energy of a particle
is 2J, find max speed

Dhanesh Shukla · Answer

speed is max when the potential energy is minimum = 0 ie: at x = 0
or at x = 2

2 J = p e + k e = 0 + k e

=> with max speed v => k e = 2

½mv² = 2

=> v = √4 = 2 m/s

The potential energy of a particle of mass 1kg moving along x-axis given by U(x) =[x2/2-x] J.if total mechanical energy of a particle is 2J, find max speed.