In: Physics
A block of mass ?=2.00 kg slides along a horizontal table with velocity ?0=3.50 m/s . At ?=0 , it hits a spring with spring constant ?=42.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.300 . How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.
To solve this problem I used the law of conservation of energy.
In this case the initial kinetic energy must be equal to the sum of energy loss due to friction and the potential energy gained by the spring.
The length can not be (-)ve so I took the positive part of the quadratic solution.