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A car with mass 1000 kg moving at 20 m/s. How many times greater is its kinetic energy than that of a 2 kg ball moving at 100 m/s?
Car KE = 0.5×1000×400 = 200,000 J
Ball KE = 0.5×2×10,000 = 10,000 J
Ratio = 200,000 / 10,000 = <<200000/10000=20>>20
Yes.
Now use that instead.
A science educator compares kinetic energies: a 1000-kg car moving at 20 m/s and a 2-kg ball at 100 m/s. How many times greater is the car’s kinetic energy than the ball’s?
Car KE = 0.5 × 1000 × (20)² = 500 × 400 = 200,000 J
Ball KE = 0.5 × 2 × (100)² = 1 × 10,000 = 10,000 J
A cartographer overlays two map layers with resolutions 1 meter/pixel and 0.5 meters/pixel. To align them, each 1-meter tile is subdivided into four 0.5-meter pixels. How many smaller pixels cover a 2 km² area?