← Back to course
4/6
Week 11 Β· Throws and Arcs

Thursday

The same toss on another world
// Forward motion meets gravity
⏱ about 20 min

Thursday: The Same Toss on Another World

Raven lays the NASA Planetary Fact Sheet beside yesterday's Field Log. "Same toss, different world," she says.

Rocket finds the gravity row. "Earth, 9.8. The Moon, 1.6. That is way less pull."

"So what happens to the arc?" Raven asks. "What do you notice about the fall?"

"Gravity pulls less, so the ball falls slower. It stays up longer. It goes farther!" Rocket says, almost shouting.

Nova hovers over the Jupiter column. "And here?"

Rocket reads 23.1 and winces. "The ball would drop fast. Short little arcs."

Raven smiles. "A physics text says an astronaut once hit a ball a long way on the Moon. Now you know why."

A table from NASA

NASA publishes a Planetary Fact Sheet with each world's mass and surface gravity. Surface gravity is how fast a dropped object speeds up.

It is given in metres per second squared. A bigger number means a stronger pull and a faster fall.

NASA's flight page gives 9.8 metres per second squared on Earth, and says the value differs on the Moon and Mars.

WorldMass (trillion trillion kg)Surface gravity (m/s squared)
Moon0.0731.6
Mercury0.3303.7
Mars0.6423.7
Venus4.878.9
Earth5.979.8
Jupiter189823.1
READ THE ROWS
  • Read the question.
  • Tap your answer.
Where would the same gentle toss stay in the air the longest?
Where would the same toss come down fastest and land closest?
Mercury and Mars have the same surface gravity in the table. What is it?

Why the Moon throw goes farther

The standards say gravitational interactions are attractive and depend on the masses of the interacting objects.

The Moon has far less mass than Earth, so its pull at the surface is far weaker: 1.6 compared with 9.8.

A physics text says the range of a projectile also depends on the strength of gravity. Weaker gravity, longer range.

That is why an astronaut on the Moon was able to send a ball a great distance. Gravity is weaker there.

Your own Field data is the Earth row. Everything you measured yesterday happened under a pull of 9.8.

Earth's surface gravity is ____ metres per second squared.
The Moon's mass is ____ trillion trillion kilograms.
SLOWEST FALL TO FASTEST FALL
  • ?Earth
  • ?Venus
  • ?Jupiter
  • ?Mars
  • ?Moon
WHY THIS EXERCISEThe order of the pull is the order of the fall, and the reverse of the order of the range.
StatementTrue or false?
Gravitational interactions are always attractive.?
A world with more mass has a weaker pull at its surface, every time.?
A toss on the Moon would stay up longer than the same toss on Earth.?
Venus and Earth have nearly the same surface gravity.?
WHY THIS EXERCISEReal tables reward careful reading: mass and gravity usually rise together, but not in a perfect line.
Draw the same gentle toss twice: once on Earth and once on the Moon. Make the Moon arc higher and longer.
Try it
Look at your three middle values from yesterday. Imagine each toss on the Moon.
Write "longer" or "shorter" beside each one, and say why in one sentence.

Excellent data reading. Tomorrow you take arcs to the pitch, the court and the long jump pit.

← Wednesday