a) a = 20 m/s^2 b) a = 10/2 = 5 m/s^2 c) a = 10 m/s^2
Work Step by Step
a) We know that F = m x a. If m is constant, F is directly proportional to acceleration. So if the force is doubled, the acceleration is doubled. So a = 20 m/s^2. b) We know that F = ma. If F is constant, mass x acceleration will be constant If mass is doubled, keeping force constant, acceleration becomes half. So a = 10/2 = 5 m/s^2. c) We know that F = ma a = F/m. So if both F and m are doubled, acceleration will be the same. a = 10 m/s^2.