Answer :
The ratio of the kinetic energy of the truck to the kinetic energy of the astronaut is approximately 1.01 × 10^-5.
To calculate the ratio of the kinetic energy of the truck to the kinetic energy of the astronaut, we can use the formula for kinetic energy:
Kinetic Energy = 0.5 * mass * velocity^2
First, let's convert the given velocities from km/h to m/s:
Velocity of the truck = 87.5 km/h = 87.5 * 1000 / 3600 m/s ≈ 24.31 m/s
Velocity of the astronaut = 25500 km/h = 25500 * 1000 / 3600 m/s ≈ 7083.33 m/s
Now we can calculate the kinetic energy for each:
Kinetic Energy of the truck = 0.5 * 21500 kg * (24.31 m/s)^2
Kinetic Energy of the astronaut = 0.5 * 97.5 kg * (7083.33 m/s)^2
Calculating the values:
Kinetic Energy of the truck ≈ 2.24 × 10^6 J
Kinetic Energy of the astronaut ≈ 2.22 × 10^11 J
To find the ratio, we divide the kinetic energy of the truck by the kinetic energy of the astronaut:
Ratio = (Kinetic Energy of the truck) / (Kinetic Energy of the astronaut)
Ratio ≈ (2.24 × 10^6 J) / (2.22 × 10^11 J) ≈ 1.01 × 10^-5
Therefore, the ratio of the kinetic energy of the truck to the kinetic energy of the astronaut is approximately 1.01 × 10^-5.
Learn more about kinetic energy from the given link
https://brainly.com/question/8101588
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