Final answer:
The locomotive will take approximately 510.2 seconds to coast to a stop and will cover a distance of approximately 26070.4 meters.
Step-by-step explanation:
To find the time it will take for the locomotive to coast to a stop, we can use the equation:
t = v/μg
where t is the time, v is the initial velocity, μ is the coefficient of rolling friction, and g is the acceleration due to gravity.
Plugging in the values, we get:
t = 10 m/s / (0.002 * 9.8 m/s^2)
t ≈ 510.2 seconds
To find the distance the locomotive will move during this time, we can use the equation:
d = vt - (1/2) * μ * g * t^2
Plugging in the values, we get:
d = 10 m/s * 510.2 s - (1/2) * 0.002 * 9.8 m/s^2 * (510.2 s)^2
d ≈ 26070.4 meters