(a)
Given:
Mass (m) = 60 kg
Height (h) = 2.0 m
Time taken (t) = 7.0 s
The work done by the person in lifting himself up the stairs is given by:
Work = Force x Distance
Here, the force exerted by the person is equal to his weight, which is given by:
Force = mass x acceleration due to gravity
Force = 60 kg x 9.8 m/s^2
Force = 588 N
The distance covered by the person is the height of the stairs, which is 2.0 m.
Work = 588 N x 2.0 m
Work = 1176 J
Power is given by:
Power = Work / Time
Power = 1176 J / 7.0 s
Power = 168 W
Therefore, the amount of power generated by the person climbing the stairs is 168 Watts.
(b)
Given:
Time taken (t) = 2.0 s
Work done by the person is the same as calculated in part (a), which is 1176 J.
Power = Work / Time
Power = 1176 J / 2.0 s
Power = 588 W
Therefore, the amount of power generated by the person running up the stairs is 588 Watts.