A 0.100- g speck of dust is accelerated from rest to a speed of 0.900 c by a constant 1.00 106 N force.

A 0.100- μ g speck of dust is accelerated from rest to a speed of 0.900 c by a constant 1.00 × 106 N force.

(a) If the nonrelativistic form of Newton’s second law (Σ F = ma ) is used, how far does the object travel to reach its final speed?

(b) Using the correct relativistic treatment of Section 37.8, how far does the object travel to reach its final speed?

(c) Which distance is greater? Why?