DES M.
asked • 06/20/20solution for this question please
Two smooth cylinders of the same diameter roll towards each other, on a
horizontal surface, such that their center lines are perfectly parallel (figure 3).
Cylinder A has a mass of 10 kg, and cylinder B has a mass of 7.5 kg. At what
speed will the cylinders move after collision for the coefficient of restitution
to be 0.75?
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1 Expert Answer
Dr Gulshan S. answered • 06/20/20
Tutor
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(52)
Physics Teaching is my EXPERTISE with assured improvement
Hello Des,
I don't t see a figure.
The problem can be solved only if we know directions before and after collision
The coefficient of restitution is the ratio of velocity of separation to velocity of approach ( In vector form , so directions are important )
The we need to apply law of conservation of momentum
DES M.
cylinder A is moving to the right and cylinder B is moving to the left
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06/20/20
DES M.
they are moving towards each other
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06/20/20
Dr Gulshan S.
tutor
Are the speeds of A and B before collision given?
If not then answer will be in terms of V1 and V2
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06/20/20
DES M.
vA=3m/s and vB=2.5m/s
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06/22/20
Dr Gulshan S.
tutor
Hello Des, The coefficient of restitution = Relative velocity of separation/ Relative velocity of approach
Let after collision each direction is reversed ( as V3 and V4)
0.75 = (V3-V4)/( V1 +V2)= ( v3 -V4)/(3.0+2.5).... Eq 1 (as directions after collision are revered for each mass
Using conservation of momentum )
m1V1 - m2V2 = m1v3 +m2 V4................ Eq 2
Plug in values of two masses m1 and m2, and V1 = 3.0 and V2= 2.5
Solve Eq 1 and Eq 2 for V3 and V4
Report
06/22/20
Dr Gulshan S.
tutor
You, Hello Des,
The coefficient of restitution = Relative velocity of separation/ Relative velocity of approach
Let after collision each direction is reversed ( as V3 and V4)
0.75 = (V3-V4)/( V1 +V2)= ( v3 -V4)/(3.0+2.5).... Eq 1
(as directions after collision are revered for each mass
Using conservation of momentum )
m1V1 - m2V2 = m1v3 +m2 V4................ Eq 2
NOw Plug in values of two masses m1 and m2, and V1 = 3.0 and V2= 2.5 Solve Eq 1 and Eq 2 for V3 and V4
Report
06/22/20
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DES M.
cylinder A is moving to the right and cylinder B is moving to the left06/20/20