Aptitude Test Problems in Physics Science for Everyone by S Krotov ( PDFDrive.com )

Solutions 243

where pi is the initial pressure of the gas. Finally,
we obtain

Po+ mg /S

Pi — 1— Ah/h •

2.42. Let us choose the origin as shown in Fig. 205.

Then the force acting on the wedge depends only

Fig. 205

on the x-coordinate of the shock front. The hori

zontal component of this force is

pocxa _ pocavt

Fx = pocx tan a _-

b b '

where x = vt is the wavefront coordinate by the

moment of time t from the beginning of propagation

of the wave through the wedge. The acceleration

imparted to the wedge at this moment of time is

Fx pocavt

a• ...,. — =

' m bm

At the moment of time to when the wavefront

reaches the rear face of the wedge, i.e. when the

wavefront coordinate is b = vto , the acceleration

of the wedge becomes

poca

ato= m •

I 6*