A 10 kg metal block is attached to a spring of spring constant 1000 nm-1. A block is displaced from equilibrium position by 10 cm and released. The maximum acceleration of the block is

Question

A 10 kg metal block is attached to a spring of spring constant 1000 nm-1. A block is displaced from equilibrium position by 10 cm and released. The maximum acceleration of the block is (A) 10 ms-2 (B) 100 ms -1 (C) 200 ms-2 (D) 0.1 ms-2

Tardigrade Admin · Accepted Answer

We know that spring does SHM
So, the restoring force is proportional to displacement
i.e.,

F = - m ω^{2} y

...(i)

F = - k y

...(ii)
where

k =

force constant of the spring

m = 10 k g

A = 10 c m = 0.1 m

Comparing the both equation, we get

ω^{2} = \frac{k}{m}

\Rightarrow ω = \frac{k}{m} = \frac{1000}{10}

= 10 r a d / s

and acceleration in SHM

a_{m a x} = - ω^{2} \cdot y

where

ω^{2}

is constant

= - 1 0^{2} \times (0.1) = - 10 m / s^{2} = 10 m s^{- 2}

Q. A $10 k g$ metal block is attached to a spring of spring constant $1000 n m^{- 1}$ . A block is displaced from equilibrium position by $10 c m$ and released. The maximum acceleration of the block is

$10 m s^{- 2}$

$100 m s^{- 1}$

$200 m s^{- 2}$

$0.1 m s^{- 2}$

Q. A 10kg metal block is attached to a spring of spring constant 1000nm−1. A block is displaced from equilibrium position by 10cm and released. The maximum acceleration of the block is

10ms−2

100ms−1

200ms−2

0.1ms−2

Q. A $10 k g$ metal block is attached to a spring of spring constant $1000 n m^{- 1}$ . A block is displaced from equilibrium position by $10 c m$ and released. The maximum acceleration of the block is

$10 m s^{- 2}$

$100 m s^{- 1}$

$200 m s^{- 2}$

$0.1 m s^{- 2}$