A block of mass m = 2 kg on a horizontal surface is connected to a spring connected to a wall (see figure). The spring has a spring constant k =10 N/m. The static friction coefficient between the block and the surface is mμs =0.7 , and the kinetic friction coefficient is mμk =0.4 . Use g = 10 m/s^2 for the gravitational acceleration.
(a) The spring is initially uncompressed and the block is at position x=0 . What is the minimum distance x1 we have to compress the spring for the block to start moving when released? (in meters)
x1=
(b) Find the distance |x2-x1| between the point of release x1 found in (a), and the point x2 where the block will come to a stop again. (in meters)
|x2-x1|=
(c) What time t12 does it take the block to come to a rest after the release? (i.e., the time of travel between points x1 and x2 ; in seconds)
t12=
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