A block of mass 300 gm is attached to a spring with spring constant 1000 N/m. A smaller block of mass 100 gm is pushed against the first block, compressing the spring 5 cm. The coefficient of static friction between the two blocks is u = 0.2. The blocks are then released from rest.
How far from its unstretched, equilibrium position is the second block located before it just starts to slip against the first?
Ff= u*N (N= normal force; u=coefficient of friction)
Since x=-0.5 Fx is in positive direction or Fx=N=k*x
The Attempt at a Solution
Ff = u*N = u*k*x
Mass 2 (m_2) will start to slip when Ff = (m_2)*g.
Ff =u*k*x = (m_2)* g
or when x= m_2*g/(u*k) = 0.004905 m or 0.49 cm
Can someone tell me if i did this right?