1. A solid sphere and a solid disk have the same mass, radius, and angular veloc

Question

1. A solid sphere and a solid disk have the same mass, radius, and angular velocity. The ratio of the sphere's angular momentum (Lsph) to the disk's angular momentum (Waisk) is disk10 Ldisk Ldisk S Ldisk d. e. disk f. None of these r une tourth as much Two objects are accelerated from rest. object Acomparewiththevnesedererofobject 5. Object A has a mass 2m and is accelerated to a final speed v. Object B has a mass m and is accelerated to a final speed 2v. How does the kinetic energy of object A compare with the kinetic energy of object B? a. KA = 4KB KA-KB f. None of these

Explanation / Answer

4] Lsph/Ldisk = [isph*w] / [idisk*w]

= [2/5 m r^2 w]/[0.5 mr^2 w]

= ( 2/5)/0.5 because m,r,w are same for both

= 0.4/0.5 = 4/5 option c

5] We know that KE is given by 0.5mv^2 where m is mass and v is speed

KA = 0.5*2m*v^2 = mv^2

KB = 0.5*m*(2v)^2 = 2mv^2

Hence KA/KB = 1/2

OR KA = KB/2

Option B

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