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Runaway Boards: Testing Stoppers for a Skate Park Walkway

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Runaway Boards: Testing Stoppers for a Skate Park Walkway

Use Newton's third law and test data to choose a stopper for loose skateboards.

Testing the stoppers

Read the passage and study Table 1. Then answer the questions.

Boards on the Loose

1At Wexley Park's skate park, the bowl and the banks are busy every afternoon. When a skater falls, the board often keeps rolling. Runaway boards shoot off the bottom of the long bank, across the flat and into the walkway where parents and younger kids stand to watch. Last summer one hit a parent's ankle hard enough to leave a deep bruise. The parks department asked the eighth-grade physics club at Ashby Middle School to test board stoppers that could be bolted along the edge of the walkway before the busy summer season begins.

2The club started with Newton's third law. When two objects collide, each one pushes on the other. The two forces are the same size, point in opposite directions and act at the same moment. This is true even when only one object was moving before the collision or when one object is far heavier than the other. The law works for pushes without a crash, too: when a skater pushes off, her foot pushes back on the ground, and the ground pushes her foot forward just as hard.

3To test each stopper, club members Nilufar Okoro and Kenji Szilagyi let a 2.0 kg skateboard roll down a test ramp so it reached 4.0 m/s at the bottom and hit the stopper head-on. A force sensor taped to the board's nose recorded the peak push of the stopper on the board, and a video app measured the board's speed after the hit. They ran each test three times with the same board, ramp and starting point, and Table 1 shows the averages. Each stopper was bolted to a concrete floor, as it would be at the park.

4The parks department gave four criteria. First, the board must not get past the stopper. Second, the board bounces back at no more than 1.0 m/s, so it does not roll fast back into the skating area. Third, the peak force between the board and the stopper is no more than 1,500 N, because the bolts that hold a stopper to the concrete can work loose above that. Fourth, the stopper is no taller than 10 cm, so people can step over it without tripping.

Table 1. 2.0 kg board hits each stopper at 4.0 m/s (averages of three trials)
StopperHeight (cm)Board got past?Peak force on board (N)Bounce-back (m/s)
A. Concrete curb10No24002.2
B. Hard rubber strip8No11001.4
C. Foam-core rubber bumper8No6000.6
D. Stiff brush strip6Yes, at 1.5 m/s150—
E. Thick foam pad15No4000.4
1.
The sensor measured only the push of each stopper on the board. Use Table 1 and paragraph 2.

How large was the peak push of the board on Stopper B? N

2.
Think about the moment of peak force when the board hit the concrete curb (Stopper A). Which statement about the forces is correct?
Question 2 options
3.
The board hit the concrete curb at 4.0 m/s and bounced straight back at 2.2 m/s. Count the reversal as part of the change: going from 4.0 m/s forward to a stop is a change of 4.0 m/s, and speeding up backward adds more.

By how much did the board's velocity change during the hit? m/s

4.
The board's velocity changed by 4.6 m/s with the foam-core bumper (C), not much less than with the curb, yet the peak force was only one quarter as large. Which explanation fits the data best?
Question 4 options
5.
In test A, the board's motion changed a lot, but the curb did not move at all that anyone could see. Which explanation fits Newton's third law?
Question 5 options

Choosing a stopper

Use Table 1 and the four criteria in paragraph 4.

6.
Sort each stopper by how it does on the four criteria. Each stopper fits one group.
7.
The thick foam pad (E) gave the slowest bounce-back of all the stoppers that stopped the board. Why should the parks department still not choose it?
Question 7 options

When a runaway board hits a skater

Read the situation, then answer the questions.

On the flat, a 2.0 kg runaway board rolls into Delphine, who is standing still on her own skateboard. Delphine and her board together have a mass of 50 kg, and both can roll freely. During the hit, the runaway board's velocity changes by 5.0 m/s. The two push on each other with equal forces for the same short time, so an object with 25 times the mass has its velocity change only 1/25 as much.
8.

By how much does the velocity of Delphine and her board change during the hit? m/s

9.
Delphine says, "I barely moved, so the board must have pushed on me much less than I pushed on it." Which response fits Newton's third law and the data?
Question 9 options
10.
A parks worker says, "Put in the concrete curb. Concrete is so strong that it pushes on the board much harder than the board pushes on it, so the curb is safest and our bolts will be fine." Do you agree? Make a claim, use evidence from Table 1 and the criteria, and explain your reasoning with Newton's third law. Then recommend a stopper.