A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations when a mass of 2 kg is suspended by it is :

Question

A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations when a mass of 2 kg is suspended by it is : (A) 0.0628 s (B) 6.28 s (C) 3.14 s (D) 0.628 s

Tardigrade Admin · Accepted Answer

K =(10/5 × 10-2) N / m =200 N / m ∴ T =2 π √( m / K )=2 π √(2/200) s =(π/5) s T =0.628 s

Q. A spring is stretched by $5 c m$ by a force $10 N$ . The time period of the oscillations when a mass of $2 k g$ is suspended by it is :

0.0628 s

6.28 s

3.14 s

0.628 s

$K = \frac{10}{5 \times 1 0 ^{- 2}} N / m = 200 N / m$
$∴ T = 2 π \frac{m}{K} = 2 π \frac{2}{200} s = \frac{π}{5} s$
$T = 0.628 s$

Q. A spring is stretched by 5cm by a force 10N. The time period of the oscillations when a mass of 2kg is suspended by it is :