Marble slide Energy Analysis

At which point does the roller coaster have the most potential energy?

• 1

• 2

• 3

• 4

At which point does the roller coaster have the most kinetic energy?

• 1

• 2

• 3

• 4

Which of the following would be a concern that you should calculate?

• There is too much kinetic energy at 4

• There is too much potential energy at 1

• There is too much potential energy at 2

• There is not enough kinetic energy at 3

Your marble slide is 60 cm high and your marble is 7 grams. Given gravity is 9.81 m/s², what is the potential energy, in Joules, of the marble at the starting point?

• 412.02 J

• 4.1202 J

• 0.041202 J

• 0.41202 J

Now, your marble has moved down to 50 cm. State its potential energy at this moment.

• 0.034335 J

• 0.34335 J

• 3.4335 J

• 34.335 J

At this 50 cm point, what is the marble's velocity to 3 significant figures?

• 1.96 m/s

• 1.40 m/s

• 0.00687 m/s

• 4.65 m/s

Now your marble is moving up again. What is the height of the marble if you want the marble to have a velocity of 0.05 m/s correct to 4 significant figures ?

• 0.6 m

• 0.5999 m

• 0.5998 m

• 0.5988 m

The marble moves down again to a height of 20 cm. What is its velocity, correct to 3 significant figures?

• 7.85 m/s

• 7.84 m/s

• 2.81 m/s

• 2.80 m/s

The marble moves up again to achieve a velocity of 2.4 m/s. What is the marble's height, correct to 3 significant figures?

• 30.6 cm

• 30.7 cm

• 30.8 cm

• 30.9

The marble is at the bottom (height is 0 cm) of your marble slide. What is its velocity correct to 3 significant figures?

• 3.33 m/s

• 3.43 m/s

• 3.44 m/s

• 5.12 m/s