Difficulty: Easy
Correct Answer: Forward, in the direction of motion of the train
Explanation:
Introduction / Context:
This question is a simple but important application of Newton first law of motion, also called the law of inertia. It deals with what happens when a person jumps from a moving train. Many accident safety instructions in rail travel are based on this idea. The question asks in which direction the man is likely to be thrown when he jumps out of a moving train and lands on the ground.
Given Data / Assumptions:
Concept / Approach:
According to the law of inertia, a body in motion continues to move with the same velocity in a straight line unless acted upon by an external unbalanced force. When the man is inside the moving train, he shares the horizontal velocity of the train. At the instant he jumps, his body still has this horizontal velocity. When he lands on the ground, his feet suddenly experience friction with the stationary ground, but his upper body still tends to move forward. This mismatch makes him topple or be thrown forward in the direction of the train motion.
Step-by-Step Solution:
Step 1: When the man is standing in the moving train, he has the same horizontal velocity as the train.
Step 2: At the moment of jumping, his body does not instantly lose this horizontal velocity; inertia keeps him moving forward.
Step 3: As he lands, his feet come into sudden contact with the ground, which is at rest, so friction acts on his feet to reduce their forward motion.
Step 4: The upper part of his body is still moving forward due to inertia, so his body tends to rotate and he is thrown forward relative to the ground.
Step 5: Therefore, the most likely direction in which he is thrown is forward, in the direction of train motion.
Verification / Alternative check:
You can compare this with similar experiences, such as suddenly stopping while running. When you try to stop quickly, your body tends to lean or fall forward, not backward, because your centre of mass continues its forward motion. The same principle applies when getting down from a bus or train; you are advised to face forward and run a few steps to reduce relative speed, which shows that the natural tendency is to move forward due to inertia.
Why Other Options Are Wrong:
Backward, opposite to the motion of the train is wrong, because nothing gives the man a sudden strong backward push.
Sideways, perpendicular to the track is incorrect, since there is no reason for a sideways force in this idealised situation.
Randomly in any direction ignores the predictable effect of inertia.
He will remain exactly at the point of contact is impossible, because his body already has forward velocity before contact.
Common Pitfalls:
Some students think that jumping out cancels the forward velocity completely, as if the act of jumping suddenly removes inertia. Others visualise the man leaving the train and immediately standing still on the ground, which is unrealistic. Remember that, horizontally, nothing stops the man instantly when he leaves the train, so he carries forward motion with him and will tend to fall or be thrown forward.
Final Answer:
A man jumping out of a moving train is likely to be thrown forward, in the direction of motion of the train due to inertia.
Discussion & Comments