A man whose mass is 50 kg climbs up 30 steps of a staircase. If each step is 20 cm high, calculate the energy used in climbing the stairs. [Given g = 10 m/s]
Answers
Answered by
17
Answer:
the SI unit of energy is joule
Step-by-step explanation:
30×20= 600
Answered by
48
Answer :
- The energy possessed by the man with mass of 50 kg in climbing 30 steps which are 20 cm long is 3000 J.
Explanation :
Given :
- Mass of the man, m = 50 kg
- No. of steps, n = 30
- Height of each step, h = 20 cm or 0.5 m
- Acceleration due to gravity, g = -10 m/s².
[Since the body is moving against the gravity , the accelaration due to gravity will be taken as negative]
To find :
- Energy possessed by the man while climbing the stairs, P.E. = ?
Knowlwdge required :
Formula for Potential energy possessed by a body :
⠀⠀⠀⠀⠀⠀⠀⠀⠀P.E. = mgh
Where,
- P.E. = Potential energy possessed by the body.
- m = Mass of the body
- g = Acceleration due to gravity
- h = Height of the body
Solution :
By using the formula for potential energy and substituting the values in it, we get :
⠀⠀=> P.E. = mgh
⠀⠀=> P.E. = 50 × 10 × 30 × 0.5 [Since the man has covered 30 steps with each height 0.5 m]
⠀⠀=> P.E. = 50 × 10 × 6
⠀⠀=> P.E. = 3000
⠀⠀⠀⠀⠀⠀⠀⠀⠀∴ P.E. = 3000 J
Therefore,
- Energy possessed by the man while climbing the stairs, P.E. = 3000 J.
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