Assertion (A): An object thrown at a certain angle to the ground moves...
- Assertion's Correctness: The assertion that an object follows a curved path and falls back to the ground with the initial and final points on the same horizontal line is correct for a projectile motion scenario.
- Reason's Correctness: The reason given that the work done by the force of gravity in this situation is zero is incorrect. Gravity does work on the object during its projectile motion, constantly changing its speed and direction.
- Explanation: In projectile motion, gravity constantly acts on the object, causing it to accelerate towards the ground. This acceleration due to gravity affects the object's path, making it follow a curved trajectory. The work done by gravity is not zero, as it continuously affects the object's motion.
- Conclusion: While the assertion is true regarding the path of the object, the reason provided is false since gravity does work on the object during its motion. Therefore, Assertion is true, but Reason is false.
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Assertion (A): An object thrown at a certain angle to the ground moves...
Understanding the Assertion and Reason
The Assertion (A) states that an object thrown at a certain angle moves in a curved path and falls back to the ground, with its initial and final points on the same horizontal line. This describes a projectile motion, which indeed follows a parabolic trajectory.
Key Points about the Assertion:
- An object in projectile motion takes a curved path due to the influence of gravity.
- The starting and ending points being on the same horizontal line is characteristic of a complete projectile motion.
Examining the Reason
The Reason (R) claims that the work done by the force of gravity in this scenario is zero. This is incorrect.
Key Points about the Reason:
- Work done is defined as the force applied on an object times the distance moved in the direction of the force.
- Since gravity acts downward while the object moves horizontally and vertically, the work done by gravity is not zero; it influences the object's vertical motion.
Conclusion
Given that:
- Assertion (A) is true because it accurately describes projectile motion.
- Reason (R) is false because gravity does work on the object as it moves.
The correct answer is option 'C': Assertion is true, but Reason is false.
This distinction is crucial for understanding the dynamics of projectile motion and the role of gravitational force.