Answer:
(a) The magnitude of the applied force is (0.0001524k) Newton
(b) Corresponding stress in the steel core = (0.0001524k/area) Newton per meter square
Explanation:
(a) From Hookes law of elasticity,
Force applied = force constant (k) × compression
compression = 0.006 in = 0.006 × 0.0254 = 0.0001524 meter
Force applied = k × 0.0001524 = (0.0001524k) Newton
(b) Stress = Force applied (Newton)/area of steel core (meter square) = (0.0001524k/area) Newton per meter square
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the centripetal force acts in the direction toward the center of
the circle. That direction is perpendicular to the way the object
is moving.
Acceleration is change in velocity over time --> 
Δv or change in velocity equals the Final velocity minus the initial velocity
Our initial velocity here is 60m/s while our final velocity is 0 m/s
The time interval is 85 seconds so...



The negative is there to indicate that the train in slowing down or decelerating