An apple gives 25 kJ energy to a boy. How much height he can climb on eating 4 apples if his efficiency is 60%. (mass of the boy is 50 kg and g = 10 m/s2)
Answers
The height he can climb on eating 4 apples if his efficiency is 60% is 120 m.
Explanation:
Amount of energy the boy gets from 1 apple = 25 kJ = 25000J
∴ Amount of energy from 4 apples = 25000J * 4 = 100,000 J = 10⁵ J
Mass of the boy, m = 50 kg
The efficiency of the boy = 60%
So, the actual energy that will be consumed by the boy after eating 4 apples is given as,
E = 60% of 10⁵J
⇒ E = [60/100] * 100000
⇒ E = 60000 J ….. (i)
Let the height the boy could climb the tree after eating 4 apples be “h” meters.
Now,
The energy consumed by the boy to climb “h” meters of the tree after eating 4 apples is given by,
E = m*g*h
⇒ 60000 = 50 * 10 * h ….. [substituting value of E from (i) and g = 10 m/s^2 (given)]
⇒ h = [60000] / [50*10]
⇒ h = 120 m
Thus, the boy can climb up to a height of 120 m on eating 4 apples if his efficiency is 60%.
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