In a spring gun having spring constant a small ball of mass is put in its barrel (as shown in figure) by compressing the spring through . There should be a box placed at a distance on the ground s

Question

In a spring gun having spring constant  a small ball  of mass  is put in its barrel (as shown in figure) by compressing the spring through . There should be a box placed at a distance  on the ground so that the ball falls in it. If the ball leaves the gun horizontally at a height of  above the ground. The value of  is  m. ()

Canvas Classes · Accepted Answer

🧠 Spring Gun + Projectile = Two-Step Problem

Read the question. Spring gun: , compression . Ball mass . Ball leaves gun horizontally at height . Find horizontal range .

Two physics phases:

Phase 1 — Spring gun launches the ball. Convert spring PE to KE: .

Phase 2 — Projectile motion. Ball falls  vertically while moving  horizontally at constant speed :

- Time to fall: .
- Horizontal distance: .

🖼️ Visual Sketch

The figure shows a spring-loaded gun on a platform  above the ground. The co

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