Work and Energy...

A lift weighing $$250 Kg$$ is to be lifted up at a constant velocity of $$0.20 m/s$$. What would be the minimum horsepower of the motor to be used? 

The potential energy of a particle of mass 1 kg free to move along the x-axis is given by U($$x$$) =($$\frac{x^2}{2}$$-$$x$$) joule. If the total mechanical energy of the particle is 2J, then find the maximum speed of the particle. (Assuming only conservative force acts on the particle)

A ball is allowed to fall from a height of 10m. if there is $$40\%$$ loss of energy due is impact then after one impact ball will go up to

When a body falls freely towards the earth, then its total energy:

A single conservative force acts on a $$1kg$$ particle  that moves along x-axis.Potential energy $$U(x)$$ is given by $$U(x)=20+{(x - 3)^2},$$ where x is in m.At $$x=0$$.particle has kinetic energy of $$20j$$ . 
Find value of $$x$$ at which body is in equilibrium

When a man increases his speed by $$2 m/s$$, he finds that his kinetic energy is doubled, the original speed of the man is

A constant force of $$5N$$ is applied on a block of mass $$20\ kg$$ for a distance of $$2.0\ m$$, the kinetic energy acquired by the block is

A body at rest can have

The graph below show the force acting on a particle moves along the positive $$x-$$axis from the origin to $$x=x_1$$. The force if parallel to the $$x-$$axis and is conservative. The maximum magnitude $$F_1$$ has the same values for all graphs. Rank the solutions according to the change in the potential energy associated with the force. least (or most negative) to greatest (or most positive)  

A ball rolling on the ground possesses