Particles of m1 and m2 (m2>m1) are connected by a line in extensible string passing over a smooth fixed pulley. Initially, both masses hang vertically with mass m2 at a height x above the floor. If the system is released from rest, with what speed will mass m2 hit the floor and the mass will rise a further distance (m2-m1) x) /m1+m2 after this occurs

The velocity with which the mass will hit the floor is

Explanation:

If the tension in the string is , for we have

,

and for the mass

From these equations we solve for and get:

The kinematic equation

gives the final velocity of a particle, when its initial velocity was , and has traveled a distance while undergoing acceleration .

In our case

(the initial velocity of the particles is zero)

which gives us

which is the velocity with which the mass will hit the floor.

which piece of furniture will have the most inertia and give the furniture movers the most difficulty in moving?  

answer

a 75kg dining table