[F.4 phy] force calculation

2012-12-15 1:15 am
A fireman slides down a pole(消防柱) of height 3m to the ground floor. To land safely, he should not reach the ground with a velocity higher than 5m/s. His mass is 70 kg. Assume that he starts sliding from rest and his acceleration is constant throughout the sliding process.

Calculate the friction on the fireman by the pole if he is to reach the ground floor with a velocity of 5 m/s.

In this case, is the friction an reaction? If the friction is an reaction, what is the cooresponding action and which object applies this action?

Help!
更新1:

I am still quite confused of the two acceleration in this case which are the 4.17 ms^-2 and the acceleration due to gravity. Can you explain more what is the difference between these two acceleration in this case? Thanks.

回答 (2)

2012-12-25 9:18 pm
"_______________PHY_______________"
An English Identity Of University Akademie
"---------------------------PHY------------------------- "
" Putonghua Hongkong Yeomanship Use "
==============PHY==============
"++++++Pian Hu Ye Yuan Hai Pao++++++"

2012-12-25 13:22:26 補充:
Zhan Yi Xi Wai Tian Se Ran Qi Po Ou Na Mei Li Ke Ju Hu Guo Fang Er Da Chi Bi An
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參考: PHY USE BI HONGKONGER'S UNIDADE NO.852, Guo Min Jiao Yu 23
2012-12-15 2:02 am
Use equation of motion: v^2 = u^2 + 2as
with v = 5 m/s, u = 0 m/s, s = 3 m, a =?
hence, 5^2 = 2a.(3)
a = 4.167 m/s

Let Ff be the frictional force, net force acting on the fireman = 70g - Ff
where g is the acceleration due to gravity, taken to be 10 m/s^2
Hence, use net-force = mass x acceleration
(70g - Ff) = 70 x 4.167
Ff = (70g - 70 x 4.167) N = 408.3 N

Yes, the frictional force acting on the fireman is an reation. As the fireman slides downward, he grasps tightly on the pole and tends to pull it downward with him. The action force, being exerted on the pole by the fireman, is thus pointing downward.


2012-12-15 00:21:52 補充:
The acceleration due to gravity g is the "free fall acceleration". That is, the downward acceleration of any object under the pull of gravity only, without the presence of other forces.

2012-12-15 00:25:07 補充:
Because the fireman in this question is NOT under free fall. He is also acted by the upward frictional force. This upward force reduces the downward pull of gravity. Hence, the acceleration is no longer equals to g, but is smaller.

2012-12-15 00:25:46 補充:
It is 4.167 m/s2 as found in this problem, which is the observed acceleration.


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