The potential energy of a particle of mass 1 kg free to move along x-axis is given by `U(x) =(x^(2)/2-x)` joule. If total mechanical energy of the particle is 2J then find the maximum speed of the particle. (Assuming only conservative force acts on particle)
Topper's Solved these Questions
WORK, ENERGY AND POWER
PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise|42 Videos
The potential energy of a particle of mass 1 kg moving along x-axis given by U(x)=[(x^(2))/(2)-x]J . If total mechanical speed (in m/s):-
The potential energy of a 1kg particle free to move along the x-axis is given by V(x)=(x^(4)/4-x^(2)/2)J The total mechanical energy of the particle is 2J then the maximum speed (in m//s) is
The potential energy of 1kg particle free to move along x-axis is given by U(x)=[x^4/4-x^2/2]J. The total mechanical energy of the particle is 2J. The maximum speed of the particle is
The potential energy of a 2 kg particle free to move along the x- axis is given by V(x)[(x^(4))/(4)-(x^(2))/(2)]jou l e The total mechanical energy of the particle is 0.75 J . The maximum speed of the particle ( in m//s) is :
The potential energy of a 1 kg particle free to move along the x- axis is given by V(x) = ((x^(4))/(4) - x^(2)/(2)) J The total mechainical energy of the particle is 2 J . Then , the maximum speed (in m//s) is
The PE of a 2 kg particle, free to move along x-axis is given by V(x)=((x^(3))/(3)-(x^(2))/(2))J. The total mechanical energy of the particle is 4 J. Maximum speed (in ms^(-1) ) is
The potential energy of a particle of mass 2 kg moving along the x-axis is given by U(x) = 4x^2 - 2x^3 ( where U is in joules and x is in meters). The kinetic energy of the particle is maximum at
The potential energy of a particle of mass 2 kg in SHM is (9x^(2)) J. Here x is the displacement from mean position . If total mechanical energy of the particle is 36 J. The maximum speed of the particle is
The potential energy of a particle of mass m is given by U=1/2kx^(2) for x lt0and U=0 for x ge0. If total mechanical energy of the particle is E, is speed at x=sqrt((2E)/(k)) is
PHYSICS GALAXY - ASHISH ARORA-WORK, ENERGY AND POWER-unsolved