A 3.20 kg block starts at rest and slides a distance d down a frictionless β = 30.0 ◦ incline, where it runs into a spring with
spring constant k = 431 N/m. The block slides an additional 21.0 cm before it is brought to rest momentarily by compressing the spring. (a) What is the value of d? (b) Where is the speed of the block at the maximum value? Is it when the block first comes into contact with the spring? If not, how much further below this point of contact does it travel before it reaches this maximum speed? Compare this point to the point where there is zero net force on the block.