Respuesta :
The mechanical energy of the given flying object is 10,340 MJ. So the correct choice is 10,340 MJ.
Mechanical energy: The mechanical energy of an object is the sum of its potential energy and kinetic energy.
The formula for the mechanical energy E is:
E=K+U
where K is the kinetic energy and U is the potential energy.
Kinetic energy: The energy possessed by an object due to the motion.
The kinetic energy is given by the formula,
K=(1/2)*(mv^2)
where m is the mass of the object and v is the velocity of the object.
Potential energy: The energy possessed by an object due to its relative position from a given point.
The potential energy is given by the formula,
U=m*g*h
where g is the acceleration due to gravity and h is the height of the object from the ground.
Substitute K=(1/2)*(mv^2) and U=m*g*h in the formula of the mechanical energy to get the following formula,
E=(1/2)*(mv^2)+m*g*h
Given that m=80000 kg, h=10 km, and v=900 km/h, and the value of g is 9.8 m/s^(-2), the value of the total mechanical energy is,
E=(1/2)*(80,000 kg)(900 km/h )^2+(80,000 kg)*(9.8 m/s^(-2))*(10 km)
Note: 1 km= 1000 m and 1 km/h = 5/18 m/s. 1 MJ = 10^(6) J
E=(1/2)*(80,000 kg)*(900*(5/18) m/s )^2+(80000 kg)*(9.8 m/s^(-2))*(10000 m)
E=(1/2)*(80,000 kg)*(250 m/s)^2+7840*10^(6) J
E=2500*10^(6) J+7840*10^(6) J
E=10340*10^(6) J
E=10340 MJ
Learn more about Potential energy here:
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