A 50 kg man is standing on a balance in a lift. The balance reads 350N when the lift accelerates downwards. What is the acceleration of ther lift? 詳細好d!
2007-01-04 14:47:33 · 2 個解答 · 發問者 yeung kong 1 in 科學 ➔ 其他:科學
Take downward direction as positive.
W=mg~~~~~~~~~~the fomula to caculate the force of gravity(地心吸力)
W=50(10)
W=500N~~~~~~~orginal force(when the lift does not move)
F=500-350=150N~~~~~~~~~~net force(淨力)
m=50kg~~~~~~~~mass of the man
a=?~~~~~~~~the thing you want to know
By F=ma,~~~~~~~~~~Newton's second law
150=50a~~~~~~~~sub the information into the fomula
150/50=a~~~~~~~calculate
3=a
a=3(ms^-2)~~~~~~~you get the answer
So, the acceleration of the lift is 3ms^-2
2007-01-04 18:00:58 · answer #1 · answered by liuchorhong 2 · 0⤊ 0⤋
Since the man is accelerating downward, his weight (50g) must be greater than the normal reaction of 350 N
Thus, the net downward force = (50g - 350) N
Let a be the acceleration
using net force = mass x acceleration
50g - 350 = 50a
thus a = (50x10-350)/50 m/s2 = 3 m/s2
2007-01-04 14:59:10 · answer #2 · answered by 天同 7 · 0⤊ 0⤋