Question

A block of mass 2kg is placed on an incline of angle 53⁰, attached with a spring as shown. Friction coefficient between block and the incline is 0.25. The block is released from the rest when the spring is non deformed. The distance moved by the ‘block along the incline till it acquires maximum speed is: (take g = 10 m/s²)

• A. 7/100 m
• B. 9/100 m
• C. 11/100 m
• D. 13/100 m

Answer 1

Answer: (D)

13/100 m

Answer 2

Block will have maximum speed when net force acting on it along incline becomes zero. Suppose moving distance ‘x’ after the release, net force becomes zero then

mg sin θ - μ mg cos θ - kx = 0

20. $\frac { 4 } { 5 }$ - 0.25 × 20 × $\frac { 3 } { 5 }$ - 100 x = 0

x = 13/100 m