Suppose that t and v are the kinetic and potential energies, and and momentum. and p are the position (a) prove that [pq, r where p, q and r are operators p[q, r] + [p, r\q, _ (b) show that [f(x), p] = ih dr for an arbitrary function f(x) (c) show that (xp) 2 (t) (1) dt dr (d) show that the left side of eq. (1) becomes zero in a stationary state to obtain dv 2 (t) dar which is called the virial theorem. (e) use the virial theorem, prove that (t) = (v) for stationary states of the harmonic oscillator

Jackson is designing a new heater, and he wants to experiment with different thermally conductive materials. which of these materials would be useful in conducting heat?

Calculate the work done by an external agent during an isothermal compression of 1.00 mol of oxygen from a volume of 22.4 l at 10∘c and 1.0 atm pressure to 16.8l

A250-n box is at rest on a frictionless horizotal floor. then a person shoves the box with a non-zero force of magnitude p. which statement best describes the relationship betweeen p and the motion of the box after it was shoved? -the box will not move when p< 250n but otherwise will accelerate at a constant rate that is directly proportional to p - the box will begin moving at a speed that is directly proportional to p, then will gradually slow to a halt -the box will move with constant velocity at a speed that is directly proportional to p -box will accelerate across the floor at a constant rate that is directly proportional to p