A boulder that can be modeled as a sphere rolls down a hill without slipping. The radius of the boulder is 1 meter, the mass of the boulder is 200 kg. The boulder started from rest and rolls 100 meters down the surface of the hill which has a constant slope of 15 degrees. 1. What is the speed of the boulder just as it reaches the bottom of the hill? 2. Since it rolled without slipping there must have been static friction acting on the boulder from the hill. What was the magnitude of the friction force on the boulder? (Hint: The friction force must be the one causing the Torque)

A boulder that can be modeled as a sphere rolls down a hill without slipping. The radius of the boulder is 1 meter, the mass of the boulder is 200 kg. The boulder started from rest and rolls 100 meters down the surface of the hill which has a constant slope of 15 degrees. 1. What is the speed of the boulder just as it reaches the bottom of the hill? 2. Since it rolled without slipping there must have been static friction acting on the boulder from the hill. What was the magnitude of the friction force on the boulder? (Hint: The friction force must be the one causing the Torque)