A goods train of total mass moves on a straight level track
PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line
Problem
A goods train of total mass 1000kg moves on a straight level track. At a certain instant its speed is 10ms−1. A constant engine pull of 2000N acts in the forward direction while resistive forces due to air and track together amount to 900N opposite to the motion.
(i) Determine the magnitude and direction of the resultant horizontal force acting on the train.
(ii) Find the acceleration of the train produced by this force.
(iii) Starting with the basic kinematic relations for motion with uniform acceleration, derive an expression for the distance covered by the train in a time t when it moves under the acceleration found in part (ii).
(iv) Using your expression from part (iii), calculate the distance travelled in the first 20s after the instant described.