Question

A block of mass m slides with a speed of $v_0=6\text{m/s}$ along a track from one level to a heigher level as shown. The track is frictionless until the block reaches the higher level where co-efficient of friction is $0.6$. The distance $d$ travelled by block on higher level before stopping is $(g=10{\text{m/s}}^2)$

• A. $\frac{7}{6}\text{m}$
• B. $\frac{5}{6}\text{m}$
• C. $\frac{29}{6}\text{m}$
• D. $3\text{m}$

Answer 1

The correct option is A $\frac{7}{6}\text{m}$

By work energy therorem, $W_{mg}+W_{friction}=K_f-K_i$
$-mgh-\mu \text{mgd}=0-\frac{1}{2}m{v}_0^2$
$10\times 1.1+0.6\times 10\times d=\frac{1}{2}\times 36$
$d=\frac{7}{6}\text{m}$