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

178 Aptitude Test Problems in Physics

be zero (see Fig. 41). The initial velocity of the

block relative to the ground is determined from

the conditions

a

— vo+ at= 0 , 1 = vot 2

at

1

where a = pig is the acceleration imparted to the

block by friction. Hence

vo =

The time of motion of the block along the

conveyer belt to the roller A is

V 21

t =---

Fig •

The distance covered by the block before it

stops is

-= 1+ vt = 1+ v

/ 21

11 6' •

Then the block starts moving with a constant
acceleration to the right. The time interval in
which the slippage ceases is i = via = vitig. The
distance by which the block is displaced relative
to the ground during this time is

a-r^2 V2
s =^
2 2ttg •

Since v < 32ttg1 by hypothesis, the block does
not slip from the conveyer belt during this time,
i.e. s < 1.
The distance covered by the block relative to
the conveyer belt during this time is

U 2 V^2
— VT =
82 = I 2a 214 •