Total mechanical energy: D) 2800 J
Explanation:
The total mechanical energy of an object is given by
[tex]E=KE+PE[/tex]
where:
[tex]KE=\frac{1}{2}mv^2[/tex] is the kinetic energy of the object, which is the energy possessed by the object due to its motion, where
m = mass of the object
v = speed
And
[tex]PE=mgh[/tex] is the gravitational potential energy of the object, the energy possessed by the object due to its location, where
[tex]g=9.8 m/s^2[/tex] is the acceleration due to gravity
h is the height of the object above the ground
For the body in this problem, we have:
m = 4.0 kg
v = 20 m/s
h = 50 m
Substituting, we find its total energy:
[tex]E=\frac{1}{2}mv^2+mgh=\frac{1}{2}(4.0)(20)^2+(4.0)(9.8)(50)=2760 J \sim 2800 J[/tex]
Learn more about kinetic and potential energy:
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