Question

A block of mass m is pulled by a constant power P placed on a rough horizontal plane. The friction co-efficient between the block and the surface is m. Maximum velocity of the block will be –

• A. $\frac { \mu \mathrm { P } } { \mathrm { mg } }$
• B. $\frac { \mu \mathrm { mg } } { \mathrm { P } }$
• C. mmgP
• D. $\frac { \mathrm { P } } { \mu \mathrm { mg } }$

Answer 1

Answer: (D)

$\frac { \mathrm { P } } { \mu \mathrm { mg } }$

Answer 2

P = F.v = constant

When F = mmg, net force on block becomes zero.

i.e. it has maximum or terminal velocity

\ P = (mmg)v_max

or v_max = $\frac { \mathrm { P } } { \mu \mathrm { mg } }$