# Circular Motion

Circular motion is a fundamental concept in physics, describing the movement of an object along a curved path at a constant speed. This motion occurs when an object travels around a central point, experiencing a continuous change in direction. It is prevalent in various natural phenomena and technological applications, ranging from celestial bodies orbiting around stars to amusement park rides. Understanding circular motion is crucial for comprehending many aspects of mechanics and engineering, as it involves principles such as centripetal force, angular velocity, and acceleration. Exploring the dynamics of circular motion unveils profound insights into the behavior of objects in motion.

- A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #6 m#. If the train's kinetic energy changes from #12 j# to #48 j#, by how much will the centripetal force applied by the tracks change by?
- A model train, with a mass of #9 kg#, is moving on a circular track with a radius of #4 m#. If the train's kinetic energy changes from #24 j# to #36 j#, by how much will the centripetal force applied by the tracks change by?
- An object with a mass of #6 kg# is revolving around a point at a distance of #8 m#. If the object is making revolutions at a frequency of #7 Hz#, what is the centripetal force acting on the object?
- A model train with a mass of #5 kg# is moving along a track at #14 (cm)/s#. If the curvature of the track changes from a radius of #88 cm# to #28 cm#, by how much must the centripetal force applied by the tracks change?
- A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #6 m#. If the train's kinetic energy changes from #24 j# to #96 j#, by how much will the centripetal force applied by the tracks change by?
- A model train with a mass of #4 kg# is moving along a track at #3 (cm)/s#. If the curvature of the track changes from a radius of #4 cm# to #27 cm#, by how much must the centripetal force applied by the tracks change?
- A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #5 m#. If the train's rate of revolution changes from #1/9 Hz# to #1/5 Hz#, by how much will the centripetal force applied by the tracks change by?
- A model train, with a mass of #2 kg#, is moving on a circular track with a radius of #8 m#. If the train's rate of revolution changes from #1/2 Hz# to #2/5 Hz#, by how much will the centripetal force applied by the tracks change by?
- The tension in a 2 m length of string that whirls a 1 kg mass at 4 m/s in a horizontal circle is calculated to be 8 N. How do you alculate the tension for the following case: twice the length of string?
- A model train with a mass of #8 kg# is moving along a track at #9 (cm)/s#. If the curvature of the track changes from a radius of #180 cm# to #63 cm#, by how much must the centripetal force applied by the tracks change?
- A model train, with a mass of #9 kg#, is moving on a circular track with a radius of #15 m#. If the train's kinetic energy changes from #72 j# to #48 j#, by how much will the centripetal force applied by the tracks change by?
- A model train, with a mass of #8 kg#, is moving on a circular track with a radius of #2 m#. If the train's kinetic energy changes from #72 j# to #0 j#, by how much will the centripetal force applied by the tracks change by?
- A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #5/4 Hz# to #1/8 Hz#, by how much will the centripetal force applied by the tracks change by?
- A model train with a mass of #2 kg# is moving along a track at #9 (cm)/s#. If the curvature of the track changes from a radius of #5 cm# to #24 cm#, by how much must the centripetal force applied by the tracks change?
- An object with a mass of #5 kg# is revolving around a point at a distance of #3 m#. If the object is making revolutions at a frequency of #17 Hz#, what is the centripetal force acting on the object?
- A model train with a mass of #2 kg# is moving along a track at #2 (cm)/s#. If the curvature of the track changes from a radius of #7 cm# to #12 cm#, by how much must the centripetal force applied by the tracks change?
- A model train with a mass of #5 kg# is moving along a track at #14 (cm)/s#. If the curvature of the track changes from a radius of #84 cm# to #28 cm#, by how much must the centripetal force applied by the tracks change?
- A model train with a mass of #5 kg# is moving along a track at #4 (cm)/s#. If the curvature of the track changes from a radius of #16 cm# to #12 cm#, by how much must the centripetal force applied by the tracks change?
- An object with a mass of #6 kg# is revolving around a point at a distance of #8 m#. If the object is making revolutions at a frequency of #2 Hz#, what is the centripetal force acting on the object?
- A model train with a mass of #4 kg# is moving along a track at #6 (cm)/s#. If the curvature of the track changes from a radius of #32 cm# to #45 cm#, by how much must the centripetal force applied by the tracks change?