Answer to Question #112261 in Classical Mechanics for Mac

Question

Block A , which has a weight of 10N, stays at rest the initial position the spring which has a stiffness of K=200N/m, is compressed by 10 cm and the released . if the coefficient of kinetic friction between the block and the surface is Block A , which has a weight of 10N, stays at rest the initial position the spring which has a stiffness of K=200N/m, is compressed by 10 cm and the released . if the coefficient of kinetic friction between the block and the surface is nBlock A , which has a weight of 10N, stays at rest the initial position the spring which has a stiffness of K=200N/m, is compressed by 10 cm and the released . if the coefficient of kinetic friction between the block and the surface is µk=0.2, determine the acceleration of the block just after the spring is released

Answer 1

As per the question,

Weight of the block $(w)=10N$

$m=10/9.80=1.02kg$

Stiffness of the spring $(K)=200N/m$

Compression in the spring $(x)=10cm= 0.1m$

Coefficient of kinetic friction$(\mu_k)=0.2$

let the acceleration of the block after the release is a,

So, $Kx-\mu w=ma$

$\Rightarrow 200\times 0.1-0.2\times 10=1.02\times a$

$\Rightarrow a=\dfrac{18}{1.02}=17.64 m/sec^2$