child has a marble “roller coaster” that they are playing with, a simplified version of which is shown in the figure. The 6.5 g marble starts at rest, pressed against a spring with a force constant of 20 N/m (location A in the figure). After being released, the marble rolls along a frictionless track, as shown in the figure. Its speed at point B is found to be 1.4 m/s. The loop-theloop at point C is circular, with a radius of 15 cm. We will assume the ground is the zero for gravitational potential energy in this system. Answer the following questions about this system. a. What is the total energy
A child has a marble “roller coaster” that they are playing with, a simplified version of which is shown in the figure. The 6.5 g
marble starts at rest, pressed against a spring with a force constant of 20 N/m (location A in the figure). After being released,
the marble rolls along a frictionless track, as shown in the figure. Its speed at point B is found to be 1.4 m/s. The loop-theloop at point C is circular, with a radius of 15 cm. We will assume the ground is the zero for gravitational potential energy in
this system. Answer the following questions about this system.
a. What is the total energy contained by the marble at any point in the motion?
b. How far was the spring compressed at point A?
c. What is the marble’s speed at point C?
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