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Which has the most kinetic energy from its motion?

a 900-kg car traveling 80km/h
a 2,000-kg truck traveling 50km/h
a 300-kg motorcycle traveling 100km/h
a 1,100-kg car traveling 60km/h

User Muhammad
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1 Answer

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Final answer:

The 900-kg car traveling at 80 km/h has the most kinetic energy, calculated at 222,210 Joules, after converting all velocities to meters per second and using the kinetic energy formula.

Step-by-step explanation:

The kinetic energy (KE) of an object is calculated with the formula KE = 1/2 m v2, where m is the mass in kilograms and v is the velocity in meters per second. To compare the kinetic energies of the objects, we first need to convert their velocities to meters per second (m/s).

900-kg car: 80 km/h = 22.22 m/s

2,000-kg truck: 50 km/h = 13.89 m/s

300-kg motorcycle: 100 km/h = 27.78 m/s

1,100-kg car: 60 km/h = 16.67 m/s

Now, we calculate the kinetic energies:

900-kg car KE = 1/2 * 900 kg * (22.22 m/s)2 = 222,210 Joules

2,000-kg truck KE = 1/2 * 2000 kg * (13.89 m/s)2

= 193,210 Joules

300-kg motorcycle KE = 1/2 * 300 kg * (27.78 m/s)2

= 116,025 Joules

1,100-kg car KE = 1/2 * 1100 kg * (16.67 m/s)2

= 152,675.45 Joules

Out of the provided options, the 900-kg car traveling at 80 km/h has the most kinetic energy.

User Kishoredbn
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