Answer:
Option C. 83.8 J
Explanation:
From the question given above, the following data were obtained:
Mass (m) of object = 2 Kg
Velocity (v) of the object = 5 m/s
Height (h) = 3 m
Mechanical energy =.?
Next, we shall determine the kinetic energy of the object. This can be obtained as shown below:
Mass (m) of object = 2 Kg
Velocity (v) of the object = 5 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 2 × 5²
KE = 1 × 25
KE = 25 J
Next, we shall determine the potential energy of the object. This can be obtained as shown below:
Mass (m) of object = 2 Kg
Height (h) = 3 m
Acceleration due to gravity (g) = 9.8 m/s²
Potential energy (PE) =.?
PE = mgh
PE = 2 × 9.8 × 3
PE = 58.8 J
Finally, we shall determine the mechanical energy of the object. This can be obtained as shown below:
Kinetic energy (KE) = 25 J
Potential energy (PE) = 58.8 J
Mechanical energy =?
Mechanical energy = KE + PE
Mechanical energy = 25 + 58.8
Mechanical energy = 83.8 J
