# If an object with a mass of #12 kg # changes speed from #1 m/s# to #2 m/s#, by how much does its kinetic energy change?

The kinetic energy increases by

Kinetic energy has the following expression:

Following the acceleration, this changes to:

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To calculate the change in kinetic energy, you can use the formula:

ΔKE = 0.5 * m * (vf^2 - vi^2)

Where: ΔKE = Change in kinetic energy m = Mass of the object (12 kg) vf = Final velocity (2 m/s) vi = Initial velocity (1 m/s)

ΔKE = 0.5 * 12 * ((2)^2 - (1)^2) ΔKE = 0.5 * 12 * (4 - 1) ΔKE = 0.5 * 12 * 3 ΔKE = 6 * 3 ΔKE = 18 joules

So, the change in kinetic energy is 18 joules.

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