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Lesson .

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Sizing Up Pluto

Subject
Math
Grade Levels
4-12
Time Required
30 - 60 mins
Pluto's surface shows a remarkable range of subtle colors, enhanced in this view to a rainbow of pale blues, yellows, oranges, and deep reds. The bright expanse is the western lobe of the "heart," informally known as Tombaugh Regio. The lobe, informally called Sputnik Planum, has been found to be rich in nitrogen, carbon monoxide, and methane ices. This high-resolution image was captured by NASA's New Horizons spacecraft and combines blue, red and infrared images taken by the Ralph/Multispectral Visual Imaging Camera (MVIC). › View full image and caption.
Credit: ASA/JHUAPL/SwRI
Enhanced color photograph of Pluto from NASA's New Horizons spacecraft
NASA's New Horizons spacecraft captured this high-resolution enhanced color view of Pluto on July 14, 2015. The image combines blue, red and infrared images taken by the Ralph/Multispectral Visual Imaging Camera (MVIC). Many landforms have their own distinct colors, telling a complex geological and climatological story that scientists have only just begun to decode. › Full image and caption.
Credit: NASA/Johns Hopkins University Applied Physics Laboratory/Southwest Research Institute

Overview

Using measurements taken by the New Horizons spacecraft as it flew by Pluto in July 2015, students have an opportunity to see how new data can change scientific understanding and practice their math skills in a real-world application.

Materials

Background

On July 14, 2015 at 4:49 a.m. PDT, NASA's New Horizons spacecraft sped past Pluto – a destination that took nearly nine and a half years to reach – and collected scientific data along with images of the dwarf planet.

Kuiper Belt illustration showing Pluto's orbit
This illustration shows Pluto's orbit (in yellow) inside the Kuiper Belt, a disc-shaped region beyond the orbit of Neptune that is home to hundreds of thousands of icy bodies and comets.
Credit: NASA

Pluto, famous for once being the ninth planet, was reclassified as a dwarf planet in 2006 after new information emerged about the outer reaches of our solar system. Worlds similar to Pluto were discovered in the region of our solar system known as the Kuiper Belt. The Kuiper Belt – named for astronomer Gerard Kuiper – is a doughnut-shaped area beyond the orbit of Neptune that is home to Pluto, other dwarf planets such as Eris, Makemake and Haumaea, as well as hundreds of thousands of other large, icy bodies, and perhaps trillions of comets orbiting our sun. In 2019, the New Horizons spacecraft is expected to visit one more Kuiper Belt object.

Through careful measurements of new images, scientists have determined that Pluto is actually larger than previously thought: 2,370 kilometers in diameter. This is important information for scientists as it helps them understand the composition of Pluto. Because of the orbital interactions between Pluto and its moon Charon, Pluto’s mass is well known and understood. Having a more precise diameter gives scientists the ability to more accurately calculate Pluto's average density. A greater diameter means Pluto’s density is less than we thought. If you do the math, you’ll see that Pluto’s calculated density dropped from 2,051 kg/m3 to 1,879 kg/m3 with this new finding. Most rock has a density between 2,000-3,000 kg/m3 and ice at very cold temperatures has a density of 927 kg/m3, so we can also conclude that Pluto is a bit more icy than previously believed. In addition to helping scientists calculate the density of Pluto, this measurement confirms that Pluto is the largest known object in the Kuiper Belt.

Procedures

  1. Hand out copies of the Student Worksheet and have students solve the following problems:

  1. Find the radius(r) of Pluto. 2,370 kilometers ÷ 2 = 1,185 km

  2. Find the circumference of Pluto. C = 2 π r = 7,446 km

  3. Find the surface area of Pluto. SA = 4 π r2 = 17,646,012 km2

  4. Find the volume of Pluto. 4/3 π r3 = 6,970,174,651 km3

  5. Find the density of Pluto in kg/m3. Pluto mass = 1.31 × 1022 kg Convert volume in km3 to m3: 6,970,174,651 × 1,000,000,000 = 6.970174651 × 1018 m3 1.31 × 1022 kg / 6.970174651 × 1018 m3 = 1,879 kg/m3

  6. How does this new density calculation compare to the previous calculation when Pluto’s diameter was thought to be 2,302 km? Pluto's density is 172 kg/m3 less than previously thought.

  7. Most rock has a density between 2,000-3,000 kg/m3 and ice at very cold temperatures has a density of 927 kg/m3. What can we conclude about Pluto’s composition based on the new density measurement? The new density measurement tells us that Pluto is more icy than previously believed.

Assessment

  • Check student work against the Teacher Guide.

Extensions

This activity is related to a Teachable Moment from July 16, 2015. See "NASA's New Horizons Mission Flies by Pluto."

› Explore more on the Teachable Moments Blog

Lesson Last Updated: Oct. 11, 2024