I would like to no what u get ! Chapter 6 1). A ball traveling to the right (spe

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I would like to no what u get !
Chapter 6 1). A ball traveling to the right (speed of 16m/s and a mass of10kg) collides head on with another ball traveling left (speed of 8m/s and a mass of 3kg). Find the speed of the second ball aftercollision. assume the collision was perferctly elastic and neglectloss in kinetic energy..

Chapter 7 1). A ran start at 175rev/min and reaches a rotational speed of250rev/min. The angular displacement is found to be 30 degressradians ..Find the angular acceleration in rad/s^2...
2). A wheel is found to have a rotational rate of 24rev/s. it isgivenan acceleration of unknown for 4sec and during this time itgoes throught 33 revolutions. Find acc or deac in rad/s^2.
I would like to no what u get !
Chapter 6 1). A ball traveling to the right (speed of 16m/s and a mass of10kg) collides head on with another ball traveling left (speed of 8m/s and a mass of 3kg). Find the speed of the second ball aftercollision. assume the collision was perferctly elastic and neglectloss in kinetic energy..

Chapter 7 1). A ran start at 175rev/min and reaches a rotational speed of250rev/min. The angular displacement is found to be 30 degressradians ..Find the angular acceleration in rad/s^2...
2). A wheel is found to have a rotational rate of 24rev/s. it isgivenan acceleration of unknown for 4sec and during this time itgoes throught 33 revolutions. Find acc or deac in rad/s^2.

Explanation / Answer

(1). Mass m = 10 kg               M = 3 kg Initial speeds u = 16 m / s                     U= -8 m / s Since velocity in right be taken as positive Let the velocities of the masses after collision be v andV from law of conservation of momentum , mu + MU = mv +MV                                                        160 - 24 = 10 v + 3 V    ---( 1) for elastic collision V-v = u-U                                     =24                                 V = 24 + v    ---( 2) from eq ( 1) , 136 = 10 v + 3( 24 + v )                             = 10 v + 72 + 3v                             = 13 v + 72                          v = 4.923 m / s from eq ( 2 ) V = 28.923 m / s (b). Initial angular speed w = 175rev/min                                          = 175 *2 rad / 60 s                                          = 18.32 rad / s fianl angular speed w ' = 250rev/min.                                  = 26.17 rad / s The angular displacement = 30degress = / 6 = 0.523 rad angular accleration = [ w ' ^ 2- w ^ 2 ] /2                                = 333.5 rad / s ^ 2

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