wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two identical balls each of mass 4 kg are moving towards each other with speeds 2 m/s and 3 m/s respectively, they undergo head on perfectly elastic collision. the impulse imparted by one ball on other is:

A
12 Ns
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
8 Ns
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
20 Ns
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
40 Ns
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 20 Ns
Applying conservation of linear momentum in x direction
u1=2 and u2=3 (in x direction)

initial momentum =m2m3
final momentum =mv2mv1
equating both
m=mv2mv1
v2v1=1 ..............eq(1)

from definition of coeficient of restitution which states that

velocity of separation=e×(velocity of approach)
v2(v1)=u1(u2)

v2+v1=2+3=5...............eq(2)

solving eq(1) and eq(2), we get

v1=3 and v2=2

considering ball B

J(impulse)=mv2m(u2)=m(v2+u2)=4(2+3)

J=20Ns

960186_1039659_ans_d8b0336cdf784e10a413ce1ba0c8ff1a.jpg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Conservation of Momentum
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon