Answer :
The kinetic energy of an object is given by the formula KE = 1/2 * m * v^2, where KE represents the kinetic energy, m represents the mass of the object, and v represents the velocity of the object.
Let's calculate the kinetic energy of the 25000-kg truck first.
Given:
Mass of the truck (m) = 25000 kg
Velocity of the truck (v) = 32 m/s
Plugging in these values into the formula, we get:
KE_truck = 1/2 * 25000 kg * (32 m/s)^2
Simplifying the equation, we have:
KE_truck = 1/2 * 25000 kg * 1024 m^2/s^2
KE_truck = 12800000 kg m^2/s^2
So, the kinetic energy of the truck is 12,800,000 joules.
Now, let's calculate the kinetic energy of the 84-kg astronaut in orbit.
Given:
Mass of the astronaut (m) = 84 kg
Velocity of the astronaut (v) = 6800 m/s
Plugging in these values into the formula, we get:
KE_astronaut = 1/2 * 84 kg * (6800 m/s)^2
Simplifying the equation, we have:
KE_astronaut = 1/2 * 84 kg * 46240000 m^2/s^2
KE_astronaut = 1949760000 kg m^2/s^2
So, the kinetic energy of the astronaut is 1,949,760,000 joules.
Comparing the kinetic energies of the two:
KE_truck = 12,800,000 joules
KE_astronaut = 1,949,760,000 joules
Since 1,949,760,000 joules is greater than 12,800,000 joules, the astronaut has a greater kinetic energy than the truck.
To know more about kinetic energy :
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