Question

a trampoline launches a 50kg person 2m into the air. if the springs push with 1960N of force, how much displacement was there in the trampoline

Answer 1

0.5

Step-by-step explanation:

Answer 2

Answer: 0.5 m

Step-by-step explanation:

Given

Mass of the person is
`m=50\ kg`

Trampoline launches the person into the air up to height of
`h=2\ m`

Force experience by springs is
`F=1960\ N`

Here, the work done on displacing the springs is equivalent to the Potential energy acquired by the person i.e.

`\Rightarrow F\cdot x=mgh\quad [\text{x=displacement of the trampoline}]\\\\\text{Insert the values}\\\\\Rightarrow x=(50* 9.8* 2)/(1960)\\\\\Rightarrow x=(980)/(1960)\\\\\Rightarrow x=0.5\ m`