A 60 kg student runs up to the second floor of the school 8 m high in 12 s. What is his power
output? (g = 98 m ) full solution please
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Answer:
- Power output of body = 392 joule/sec
Explanation:
Given :
- Mass of student, m = 60 kg
- height to which student runs (second floor of school), h = 8 m
- Time for which he runs, t = 12 s
- Acceleration due to gravity taken, g = 9.8 ms⁻²
To find :
- Power output of student, P = ?
Knowledge required :
- Formula to calculate potential energy
P.E. = m g h
[ where P.E. is the potential energy of body having mass m , acceleration due to gravity g and vertical height to be covered is h ]
- Formula to calculate Power
P = E / t
[ where P is power, E is energy and t is time ]
Solution :
Calculating potential energy of student consumed to reach the second floor of the school
→ P.E. = m g h
→ P.E. = ( 60 ) × ( 9.8 ) × ( 8 )
→ P.E. = 4704 Joules
Calculating power output of the student
→ P = E / t
→ P = 4704 / 12
→ P = 392 Watt or 392 Joule / sec
Therefore,
- Power output of boy will be 392 joule/sec .
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