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Question: An adult weighing 600 N raises the centre of gravity of his body by 0.25 m while taking each step of...

An adult weighing 600 N raises the centre of gravity of his body by 0.25 m while taking each step of 1 m length in jogging. If he jogs for 6 km, the energy utilized by him in jogging is:

A

9×1069 \times 10 ^ { 6 }J

B

9×1059 \times 10 ^ { 5 }J

C

6×1066 \times 10 ^ { 6 }J

D

6×1056 \times 10 ^ { 5 } J

Answer

9×1059 \times 10 ^ { 5 }J

Explanation

Solution

Here, mg = 600 N

H = 0.25 m

Length of each step = 1 m

\thereforeNo of steps in 6 km is

N=6×103 m1 m=6000\mathrm { N } = \frac { 6 \times 10 ^ { 3 } \mathrm {~m} } { 1 \mathrm {~m} } = 6000

\thereforeenergy utilized in jogging is

E = Nmgh = 6000 × 600N × 0.25 m

=9×105 J= 9 \times 10 ^ { 5 } \mathrm {~J}