Carbon-14 has a half life of 5,730 years and it decays via beta decay. If we start with a Carbon-14 sample of 500 g, after how many half-life intervals will we have less than 10% of the original amount?

Asled is being held at rest on a slope that makes an angle θ with the horizontal. after the sled is released, it slidesa distance d1 down the slope and then covers the distance d2 alongthe horizontal terrain before stopping. find the coefficient ofkinetic friction μk between the sled and the ground, assumingthat it is constant throughout the trip. find the coefficient of kinetic frictionμk. express your answer in terms of someor all of the variables d1, d2, and θ.