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A 60-kg man uses an electric chair to carry him up the stairs. if the chair has a mass of 200 kg, what power must a motor generate to transport the man and chair 5 m vertically in 10 seconds, assuming a constant velocity and ignoring all forces except gravity? 900 w 1300 w 400 w 1200 w

Respuesta :

vladvturin2017
Mass:m = 60+200 = 260 kg

Engine work:A = m*g*h = 260*10*5 = 13 000 J
Engine power:N = A / t = 13 000 / 10 = 1 300 W

The power must a motor generate to transport the man and chair is  1300 W.

What is gravitational potential energy?

If an object is lifted, work is done against gravitational force. The object gains energy.

The equation for calculating gravitational potential energy is

GPE =mgh

where, GPE is the gravitational potential energy, m is the mass, h is the change in height and g is the acceleration due to gravity.

Given is the mass of chair =200kg and mass of man =60 kg, then the total mass to be lifted is

m = 200 +60 = 260 kg.

height to be raised h =5m and time taken t  = 10s.

GPE = 260 x 10 x 5

GPE = 13000 J

Power to be generated P = GPE/t

Put the values, we get

P = 13000 / 10 = 1300 W

Thus, the power must be generated is 1300W.

Learn more about gravitational potential energy.

https://brainly.com/question/3884855

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