Question

A suitcase is gently dropped on a conveyor belt moving at 3 m/s. If the coefficient of friction between the belt and the suitcase is 0.5, find the displacement of the suitcase relative to conveyor belt before the slipping between the two is stopped : (g = 10 m/s²)

• A. 2.7 m
• B. 1.8 m
• C. 0.9 m
• D. 1.2 m

Answer 1

Answer: (C)

0.9 m

Answer 2

Relative to belt, a = $\frac { \mu \mathrm { mg } } { \mathrm { m } }$ = mg = 5m/s²

̃ 0 = u²

2as ̃ s = $\frac { \mathrm { u } ^ { 2 } } { 2 \mathrm { a } } = \frac { ( 3 ) ^ { 2 } } { 2 \times 5 }$ = 0.9m