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Week 07 Β· Potential Energy: Height and Stretch

Thursday

Lifting a ball on other worlds
// Energy that waits
⏱ about 20 min

Thursday: Lifting a Ball on Other Worlds

Raven spreads a table across the patio: ten worlds and a column of gravity numbers.

"Earth, 9.8. Moon, 1.6. Jupiter, 23.1," she reads. "What do you notice?"

"Jupiter pulls more than twice as hard as Earth," Rocket says. "And the Moon barely pulls."

Nova hovers over the Moon column. "You lift the same ball one metre on each world," she says. "Where is the lift hardest?"

"Jupiter," Rocket says. "The ball weighs the most there."

"And the harder the lift, the more energy you store," Raven says. "Same height, different arrangement."

Rocket grins. "So a one metre shelf on Jupiter is a bigger deal than a one metre shelf on the Moon."

Nova hums. "Now read the whole table."

A table from NASA

NASA publishes a planetary fact sheet with the surface gravity of each world in metres per second squared.

Gravity here means how fast a dropped object speeds up near the surface. A bigger number means a stronger pull.

Earth's number is 9.8. A NASA guide says the weight of an object is its mass times this gravity number.

Here are the gravity values from the fact sheet.

WorldSurface gravity (metres per second squared)
Mercury3.7
Venus8.9
Earth9.8
Moon1.6
Mars3.7
Jupiter23.1
Saturn9.0
Uranus8.7
Neptune11.0
Pluto0.7
USE THE TABLE
  • Read the question.
  • Tap your answer.
On which world does a dropped ball speed up the most?
Mars and Mercury both show 3.7. How do their surface gravities compare?
You lift the same ball one metre on the Moon and one metre on Earth. Where is more potential energy stored?

Why the stored energy changes

The physics text works out the energy stored by a lift. The force needed to lift an object at a steady speed equals its weight.

Weight is mass times gravity, so the same ball weighs more where gravity is stronger. Lifting it one metre there stores more energy.

The text gives an Earth example. A half kilogram mass raised one metre stores about 4.9 joules.

Earth's gravity, 9.8, is about six times the Moon's 1.6. So the same lift on Earth stores about six times the energy it would on the Moon.

This is the standard's big idea. Change the arrangement of two objects that attract each other, and the stored energy changes.

The Moon's surface gravity in the NASA table is ____ metres per second squared.
A half kilogram mass raised one metre on Earth stores about ____ joules.
StatementTrue or false?
A one metre lift stores more energy on Jupiter than on Earth.?
The same ball weighs the same on every world.?
Pluto has the weakest surface gravity in the table.?
Stored energy from a lift depends only on the height, never on gravity.?
WHY THIS EXERCISEThe arrangement includes both how far apart the objects are and how strongly they pull.
WEAKEST SURFACE GRAVITY TO STRONGEST
  • ?Earth
  • ?Neptune
  • ?Moon
  • ?Jupiter
  • ?Mars
  • ?Pluto
WHY THIS EXERCISEOrdering the worlds by gravity also orders them by how much energy the same lift stores.
Draw a bar graph of the gravity column for Moon, Mars, Earth, Neptune and Jupiter. Make the Jupiter bar the tallest.

Excellent data work. Tomorrow you will find stored energy in sports and review the week.

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