Problems
Problem 1.1:
A 2 kg ball on a string is rotated about a circle of radius 10 m. The maximum
tension allowed in the string is 50 N. What is the maximum speed of the ball?
[Solution]
Problem 1.2:
During the course of a turn, an automobile doubles its speed. How much
additional frictional force must the tires provide if the car safely makes
around the curve?
[Solution]
Problem 1.3:
A satellite is said to be in geosynchronous orbit if it rotates around the earth
once every day. For the earth, all satellites in geosynchronous orbit must
rotate at a distance of 4.23×107 meters from the earth's center. What
is the magnitude of the acceleration felt by a geosynchronous satellite?
[Solution]
Problem 1.4:
The maximum lift provided by a 500 kg airplane is 10000 N. If the plane travels
at 100 m/s, what is its shortest possible turning radius?
[Solution]
Problem 1.5:
A popular daredevil trick is to complete a vertical loop on a motorcycle. This
trick is dangerous, however, because if the motorcycle does not travel with
enough speed, the rider falls off the track before reaching the top of the loop.
What is the minimum speed necessary for a rider to successfully go around a
vertical loop of 10 meters?
[Solution]
