A bird of mass 2 kg is flying at an altitude of 100 m with a speed of 5 m/s. Calculate the mechanical energy of the bird. (g - 10 m/s²)
Answers
Answer:
mass of bird = 2kg
height = 100m
velocity = 5m/s
therefore, mechanical energy = KE + PE
KE = ½mv²
= ½ × 2 × 5²
= 25 J
PE = mgh
= 2 × 10 × 100
= 2000 J
therefore, total energy or mechanical energy =
25+2000
= 2025 J
hope it helped :)
Given :-
☄ Mass of the bird, m = 2 kg
☄ Altitude of flying, h = 100 m
☄ Speed of flying, v = 5 m/s
☄ acceleration due to gravity, g = 10 m/s²
To find :-
the mechanical energy of the bird
Solution :-
first we have to find potential energy and kenitic energy
we know that,
➠ Potential energy, P.E = mgh
➠ P.E = (2)(10)(100)
➠ P.E = 2000J
and similarly,
➠ kenitic energy K.E = 1/2mv²
➠ K.E = 1/2(2)(5)²
➠ K.E = 50/2
➠ K.E = 25J
As we know,
Mechanical energy = Potential energy + kenitic energy
➠ M.E = P.E + K.E
➠ M.E = 2000 + 25
➠ M.E = 2025 J
thus, mechanical energy of the bird is 2025 J
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