Laws Of Motion Question 14

Question 14 - 01 February - Shift 1

A block of mass $5 kg$ is placed at rest on a table of rough surface. Now, if a force of $30 N$ is applied in the direction parallel to surface of the table, the block slides through a distance of $50 m$ in an interval of time 10s. Coefficient of kinetic friction is (given, $g=10 ms^{-2}$ ):

(1) 0.60

(2) 0.75

(3) 0.50

(4) 0.25

Show Answer

Answer: (3)

Solution:

$S=u t+\frac{1}{2} a t^{2}$

$50=0+\frac{1}{2} \times a \times 100$

$a=1 m / s^{2}$

$F-\mu m g=m a$

$30-\mu \times 50=5 \times 1$

$50 \mu=25$

$\mu=\frac{1}{2}$