How to Find the Maximum Range of a Ball Shot from a Spring Gun?

[vipulgoyal]

Homework Statement

a 15 g ball is shot from a spring gun whose spring has a force constant600 N/m the spring is compressed by 5cm the greatest posible horizontal range of the ball for this compression is

Homework Equations

The Attempt at a Solution

what equation should i use to find the distance i know the energy stored

i used i/2 k x² = F.s

then put F = mg the answer doesn't come

 

[supratim1]

Hello Vipul. you are mistaken. F = mg is gravitational force, which is not the acting force for the required answer.

use 1/2 kx^2 = 1/2mv^2 and find velocity. then use equations of projectile motion, find time of flight(t), and v.t = distance.

 

[supratim1]

Hello Vipul. you are mistaken. F = mg is gravitational force, which is not the acting force for the required answer.

use 1/2 kx^2 = 1/2mv^2 and find velocity. then use equations of projectile motion, find time of flight(t), and v.t = distance.