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Week 06 Β· Kinetic Energy: Mass and Speed

Thursday

Reading an energy table
// The energy of motion
⏱ about 20 min

Thursday: Reading an Energy Table

Raven lays out a new table on the patio: objects, masses, speeds and a column of joules.

"A 30 kilogram package at half a metre per second, under 4 joules," she reads. "A basketball at 7.5 metres per second, 17.6 joules."

Rocket frowns. "The package weighs fifty times more and has less energy? That cannot be right."

Nova hovers over the speed column. "What do you notice about the speeds?" she asks.

"The package is crawling," Rocket says slowly. "The ball is flying. And speed counts extra."

"Now look at the sprinter," Raven says. "80 kilograms at 10 metres per second: 4,000 joules."

Rocket whistles. "Heavy and fast. That is the big number." Nova hums. "Read the rest and find the pattern."

Kinetic energies from physics texts

Physicists work out kinetic energy from mass and speed. Here are worked examples from two OpenStax physics texts hosted by LibreTexts.

Mass is in kilograms and speed is in metres per second, the units you learned in week 1. Energy is in joules.

Read the mass and speed first, then the energy. Look for which column changes the energy more.

Moving objectMass (kilograms)Speed (metres per second)Kinetic energy (joules)
Package on a conveyor belt300.53.75
Basketball in a pass0.6247.517.6
Person walking751.584.4
Athlete running80104,000
Person moving with a train7513.56,830
Person moving with a faster train7516.510,200
READ THE ROWS
  • Read the question.
  • Tap your answer.
The package has 30 kilograms and the basketball has 0.624 kilograms. Why does the basketball have more kinetic energy?
The walker and the person on the train both have 75 kilograms. Which has more kinetic energy?
Which row has the most kinetic energy?

What the pattern means

The person at 13.5 metres per second has 6,830 joules. At 16.5 metres per second, the same person has 10,200 joules.

The speed went up by less than a quarter, but the energy went up by about a half. Speed counts extra.

The athlete running at 10 metres per second has about 47 times the energy of the walker at 1.5 metres per second.

Another physics table lists a tennis ball at 100 kilometres per hour with about 22 joules. A light ball at high speed still carries real energy.

This is why a hard throw can hurt and a gentle roll cannot. Soft balls and gentle rolls keep the Field safe.

The athlete running at 10 metres per second has ____ joules of kinetic energy.
The package has a mass of 30 kilograms but only ____ joules of kinetic energy.
StatementTrue or false?
The heaviest object in the table has the most kinetic energy.?
At the same mass, the faster person has more kinetic energy.?
The basketball has more kinetic energy than the slow package.?
Kinetic energy in the table is measured in kilograms.?
WHY THIS EXERCISEA table lets you separate mass from speed and see which one is driving the energy.
LEAST KINETIC ENERGY TO MOST
  • ?Person moving with a faster train
  • ?Package on a conveyor belt
  • ?Person walking
  • ?Athlete running
  • ?Basketball in a pass
WHY THIS EXERCISEOrdering by energy, not by mass, shows that speed is the stronger driver.
Draw a graph with speed along the bottom and energy up the side. Plot the three 75 kilogram rows and connect them. Is the line straight or curving up?

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

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