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A box of mass m is released from rest at position on the frictionless curved track shown. It slides a distance d along the track in time t to reach position 2, dropping a vertical distance h. Let v and a be the instantaneous speed and instantaneous acceleration, respectively, of the box at position 2. Which of the following equations is valid for this situation?
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A box of mass m is released from rest at position on the frictionless ...


- **Position 1 to Position 2 Analysis**

The box of mass m is released from rest at position 1 on the curved track. It slides a distance d along the track in time t to reach position 2, dropping a vertical distance h.

- **Equations of Motion**

The valid equation for this situation is:

- **v^2 = u^2 + 2as**

Where:
- v is the final velocity of the box at position 2
- u is the initial velocity of the box at position 1 (which is 0 m/s as it is released from rest)
- a is the acceleration of the box along the curved track
- s is the distance traveled by the box from position 1 to position 2

- **Explanation**

In this situation, the box starts from rest at position 1 and accelerates along the curved track due to the force of gravity. The equation v^2 = u^2 + 2as relates the final velocity of the box at position 2 to its initial velocity, acceleration, and the distance traveled. Since the track is frictionless, the only force acting on the box is gravity, causing it to accelerate downwards.

- **Conclusion**

The equation v^2 = u^2 + 2as is valid for this situation as it describes the motion of the box from position 1 to position 2 along the curved track.
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A box of mass m is released from rest at position on the frictionless curved track shown. It slides a distance d along the track in time t to reach position 2, dropping a vertical distance h. Let v and a be the instantaneous speed and instantaneous acceleration, respectively, of the box at position 2. Which of the following equations is valid for this situation?
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A box of mass m is released from rest at position on the frictionless curved track shown. It slides a distance d along the track in time t to reach position 2, dropping a vertical distance h. Let v and a be the instantaneous speed and instantaneous acceleration, respectively, of the box at position 2. Which of the following equations is valid for this situation? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A box of mass m is released from rest at position on the frictionless curved track shown. It slides a distance d along the track in time t to reach position 2, dropping a vertical distance h. Let v and a be the instantaneous speed and instantaneous acceleration, respectively, of the box at position 2. Which of the following equations is valid for this situation? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box of mass m is released from rest at position on the frictionless curved track shown. It slides a distance d along the track in time t to reach position 2, dropping a vertical distance h. Let v and a be the instantaneous speed and instantaneous acceleration, respectively, of the box at position 2. Which of the following equations is valid for this situation?.
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