(i) tane (ii) 0< coto Given that each sphere is of mass m and that the speed of P before impact isU, (iii) find the loss in kinetic energy due to the impact.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Answer Qi, ii

4. A smooth sphere P moves on a horizontal table and collides with an identical sphere Qat rest.
At impact, the direction of motion of Pmakes an angle of 45° with the line of centres of the
spheres. Given that the coefficient of restitution between the spheres is e and that after impact,
the direction of motion of P makes an acute angle e with the line of centres of the spheres,
show that
(i)
tane =
(ii)
0< coto
Given that each sphere is of mass m and that the speed of P before impact is U,
(iii)
find the loss in kinetic energy due to the impact.
Transcribed Image Text:4. A smooth sphere P moves on a horizontal table and collides with an identical sphere Qat rest. At impact, the direction of motion of Pmakes an angle of 45° with the line of centres of the spheres. Given that the coefficient of restitution between the spheres is e and that after impact, the direction of motion of P makes an acute angle e with the line of centres of the spheres, show that (i) tane = (ii) 0< coto Given that each sphere is of mass m and that the speed of P before impact is U, (iii) find the loss in kinetic energy due to the impact.
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