A boy sitting on the topmost berth in the compartment of a train which...
The correct answer is 'b' due to inertia of motion. Since the train is decelerating, the ball will tend to keep moving in the direction of motion,and hence fall away from the person's hand in the direction of the train's movement.
A boy sitting on the topmost berth in the compartment of a train which...
Explanation:
The motion of the train and the laws of physics can help us determine the trajectory of the apple when it is dropped from the topmost berth in the compartment of a moving train.
1. Initial conditions:
- The boy is sitting on the topmost berth of the train compartment.
- The brother is sitting vertically below the boy's hands at a distance of about 2 meters.
- The train is just about to stop at a railway station.
2. Newton's First Law of Motion:
- According to Newton's First Law of Motion, an object at rest or in motion will stay in that state unless acted upon by an external force.
- Initially, the apple is at rest relative to the train compartment because it is dropped vertically downward.
- However, the train itself is in motion, so the apple is also moving horizontally with the same velocity as the train.
3. Drop of the apple:
- When the boy drops the apple, it will initially have the same horizontal velocity as the train.
- However, the apple will start accelerating downwards due to the force of gravity acting on it.
- As the apple is in free fall, its horizontal velocity will remain constant, but its vertical velocity will increase.
4. Resultant motion:
- The resultant motion of the apple can be considered as the combination of its horizontal and vertical motions.
- The horizontal motion will be unaffected by gravity and will be in the direction of the train's motion.
- The vertical motion will be influenced by gravity, causing the apple to accelerate downwards.
- Since the apple is dropped vertically downward, its vertical motion will not be affected by the horizontal motion of the train.
5. Conclusion:
- As a result of the combination of horizontal and vertical motions, the apple will follow a curved trajectory.
- The apple will slightly move away from the hand of the brother in the direction of motion of the train.
- Therefore, the correct answer is option 'B' - Slightly away from the hand of his brother in the direction of motion of the train.
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