Question

A body of mass 60 kg is dragged with just enough force to start moving on a rough surface with coefficient of Static and kinetic frictions 0.5 and 0.4 respectively. On applying the same force, find the acceleration__?

Answer 1

Given:

Mass,

= 60 kg

Coefficient of Static friction,

= 0.5

Coefficient of Kinetic friction,

= 0.4

To find:

Acceleration = ?

Solution:

Maximum static friction will be:

= $Umg$

On putting the values, we get

= $0.5\times \ 60\times 9.8$

= $294 \ N$

Maximum kinetic friction will be:

= $0.4\times 60\times 9.8$

= $235.2 \ N$

then,

⇒ $F=ma$

or,

⇒  $a=\frac{F}{a}$

On substituting the values, we get

⇒     $=\frac{58.8}{60}$

⇒     $=0.98 \ m/s^2$

Thus, the acceleration will be "0.98 m/s²".