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Compare the kinetic energy of a 20,000-kg truck moving at 110 km/h with that of an 80.0-kg astronaut in orbit moving at 27,500 km/h.

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Answer:

The truck has about 9,340,000 Joules of kinetic energy

The astronaut has about 2,334,105,617.3 Joules of kinetic energy

Explanation:

Given:

  • m_t = 20000kg
  • v_t = 110 km/h = 30.56 m/s
  • m_a = 80kg
  • v_a = 27500 km/h = 7638.89 m/s

Kinetic Energy of the Truck

KE = 1/2(m_t × (v_t)^2)

KE = 1/2(20,000kg × (30.56 m/s)^2)

KE = 1/2(20,000kg × 934 m/s^2)

KE = 1/2(18,680,000 kg m/s^2)

KE ≈ 9,340,000 J

Kinetic Energy of the Astronaut

KE = 1/2(m_t × (v_t)^2)

KE = 1/2(80kg × (7638.89 m/s)^2)

KE = 1/2(80kg × 58,352,640.4 m/s^2)

KE = 1/2(4,668,211,234.6 kg m/s^2)

KE ≈ 2,334,105,617.3 J

The astronaut's kinetic energy is ≈ 24990% higher than the truck's kinetic energy due to a higher velocity

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