Use the values from PRACTICE IT to help you work this exercise. Suppose the spri

Question

Use the values from PRACTICE IT to help you work this exercise. Suppose the spring system in the last example starts at x = 0 and the attached object is given a kick to the right, so it has an initial speed of 0.59 m/s. What distance from the origin does the object travel before coming to rest, assuming the surface is frictionless? How does the answer change if the coefficient of kinetic friction is muk = 0.140? (Use the quadratic formula.) When friction is present, do you expect the distance to be larger or smaller than when friction is not present? m

Explanation / Answer

here,

(b)

initial speedd , u = 0.59 m/s

uk = 0.14

deaccelration , a = - uk * g

a = - 1.372 m/s^2

let the distance travlled be s

using third equation of motion

v^2 - u^2 = 2 * a * s

0 - 0.59^2 = - 2 * 1.372 * s

s = 0.13 m

the distance travelled is 0.13 m

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