Physics, asked by PragyaTbia, 1 year ago

A freely falling body takes 2 s to reach the ground on a plane, when it is dropped from a height of 8 m. If the period of a simple pendulum is t seconds on the planet, calculate the length of the pendulum.

Answers

Answered by gadakhsanket
8
Hii dear,

◆ Answer- l = t^2/9.87 m

◆ Explanation-
# Given-
h = 8 m
t' = 2 s

# Solution-
By Newton 2nd kinematic eqn,
s = ut' + 1/2 at'^2
8 = 0×2 + 1/2 × a × 2^2
a = 4 m/s^2

Period of pendulum is given by
t = 2π √(l/a)
l = t^2 × a / 4π^2
l = t^2 × 4 / 4π^2
l = t^2/9.87 m

Hope that is helpful...
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