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ICSE Class 10 Answered

A machine is driven by a 100 kg mass that falls 8 m in 4 seconds it lifts a load of 500 kg vertically upwards a.what is the force in Newton exerted by falling mass b.what is the work done by 100 kg mass falling through 8 m c. what is the power input to the machine d. If  the efficiency of the machine 75% what is the power output of the machine e.what is the work done by the machine in 4 sec
Asked by Samrat | 30 Jun, 2018, 07:24: PM
answered-by-expert Expert Answer
Final speed of 100 kg stone when it is falling from 8 m height, v = begin mathsize 12px style square root of 2 cross times g cross times h end root space equals space square root of 2 cross times 9.8 cross times 8 end root space equals space 12.52 space m divided by s end style
(a) force = 100 × 9.8 = 980 N
 
(b) workdone? when an object falling in gravitational field, object does not do any work. Work is done on the object by gravitational field

(c) Input power = force × velocity = 100×9.8×12.52  = 12270 W
 
(d) power output = 0.75×12270 = 9202.5 W
 
(e) workdone by machine  = 75% input power × time = .75×12270× 4 = 36810 J
Answered by Thiyagarajan K | 02 Jul, 2018, 01:10: PM

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