1800-150-456-789
FlagBACK
Flag Top Engineering Colleges in India> A particle is dropped from the top of a t...
question mark

A particle is dropped from the top of a tower h meter hingh and at the same moment another particle is projected upwards from the bottom they meet when the upper one has descended a distance h/n. show that the velocities of the two when they meet are in the ratio 2:(n-2) and that the initial velocitiy of the particle projeceted up is [(1/2)ngh]1/2

shubham , 6 Years ago
Grade 12
anser 1 Answers
Ambareeshan R

Last Activity: 6 Years ago

for 1st particle
h/n= 1/2(gt2)------>eq.1
 
for 2nd particle
(h – h/n)=ut – 1/2(gt2)------->eq.2
 
Add 1 and 2:
h=ut or t=h/u----->substitute in 1.
 
h/n=1/2g(h2/u2)
u2=gnh/2
u=(gnh/2)1/2
 
now for 1st particle
V12=2g(h/n)
V22= u2 – 2g(h – h/n)
V22 = 1/2(ngh) – 2gh(h-h/n)
V22 =1/2(ngh) – 2gh(1-1/n)
 
V22=gh(n/2 – 2(1-1/n))
 
V22 =gh(n/2 – 2 + 2/n)=  gh((n – 2)2/2n)
 
TAKING RATIO
 
V12 /V22 = (2gh/n) / (gh(n – 2)2 /2n)
 
V12/V22 = 4gh/gh(n – 2)2
V12/V22 =2/n – 2
 
 
 
 
           
 
a

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Top Engineering Colleges in India

question mark
I got 2 seats ,one through TNEA counselling and another through JOSAA. Which is best MIT chennai ECE or NIT trichy EEE ?
Top Engineering Colleges in India
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
I got 98.2 percentile in session1 2022. Which is the option for me? Can I get NIT with this? Also if I consider a private college, which is better: MIT manipal or LNMIIT jaipur
Top Engineering Colleges in India
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
1a) The binding energy of a calcium 2p electron is -349.7 eV. What would be the effective nuclear charge experienced by a calcium 2p electron? (RH = 13.6 eV)
Top Engineering Colleges in India
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
My daughter has done her 10th Study in UAE & 11th / 12th study in our home town in Gujarat. Is she eligible for home state quote in NIT, Surat? What is latest update on eligibility for HS quote in NIT?
Top Engineering Colleges in India
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
BITS Pilani for cs or IIIT Hyderabad or dtu considering I am a delhite
Top Engineering Colleges in India
1 Answer Available

Last Activity: 3 Year ago(s)