Question

a 2.6 kg block is attached to a horizontal spring that has a spring constant of 126 N/m. At the instant when the displacement of the spring from its unstrained length is -0.115 m, what is the acceleration a of the object

Answer 1

The acceleration of the object is
`5.57\ m/s^2`.

Step-by-step explanation:

Given that,

Mass of the block, m = 2.6 kg

Spring constant of the spring, k = 126 N/m

At the instant when the displacement of the spring from its unstained length is 0.115 m. We need to find the acceleration of the object.

When the block is displaced, the force acting on the spring is equal to the force due to its motion. Such as :

`kx=ma`

a is acceleration of the object

`a=(kx)/(m)\\\\a=(126* 0.115)/(2.6)\\\\a=5.57\ m/s^2`

So, the acceleration of the object is
`5.57\ m/s^2`.