A0.142 kg remote control 24.0 cm long rests on a table, as shown in the figure(figure 1) , with a length l overhanging its edge. to operate the power button on this remote requires a force of 0.355 n .
how far can the remote control extend beyond the edge of the table and still not tip over when you press the power button? assume the mass of the remote is distributed uniformly, and that the power button is 1.51 cm from the overhanging end of the remote.

Uranium has two naturally occurring isotopes. 238u has a natural abundance of 99.3% and 235u has an abundance of 0.7%. it is the rarer 235u that is needed for nuclear reactors. the isotopes are separated by forming uranium hexafluoride uf6, which is a gas, then allowing it to diffuse through a series of porous membranes. 235uf6 has a slightly larger rms speed than 238uf6 and diffuses slightly faster. many repetitions of this procedure gradually separate the two isotopes. what is the ratio of the rms speed of 235uf6 to that of 238uf6? express your answer to five significant figures.