KCET2014PhysicsMechanical Properties of Fluids
A ( 10 ~kg ) metal block is attached to a spring of spring constant ( 1000 ~N ~m ⁻¹ ), A block is displaced from equilibrium position by ( 10 ~cm ) and released. The maximum acceleration of the block is
Options
- A( 10 ~ms ⁻² )
- B( 100 ~ms ⁻² )
- C( 200 ~ms ⁻² )
- D( 0.1 ~ms ⁻² )
Correct answer
A. ( 10 ~ms ⁻² )
Step-by-step solution
Given, mass, m =10 ~kg ; spring constant k=1000 Nm ⁻¹ , displacement x=10 ~cm =10 10⁻² ~m We know F = kx Also, F = ma kx = ma a= k x ~m = 1000 10 10⁻² 10 =10 ~ms ⁻² Therefore, maximum acceleration of the block is 10 ~ms ⁻²