A relatively light (less massive)soccer ball rolling east at a speed of 4m/s col

Question

A relatively light (less massive)soccer ball rolling east at a speed of 4m/s collides with a much heavier (more massive) stations bowling ball. After the collision, the soccer ball has reversed direction and is rolling to the west while bowling ball moves very slowly to the east. Which object experienced the greater impulse (in terms of magnitude) during the collision? (Ignore friction and air resistance.) a.) neither; both experienced the same magnitude of impulse b) the soccer ball c.) it is impossible to tell since the actual mass values are not given. d.) the bowling ball e.) It is impossible to tell since the velocities after the collision are unknown. While being accelerated from rest to an angular speed of 500rpm, a flywheel (which is simply a solid uniform disk of radius 1.2m) gains 3.9kj of kinetic energy. What is the mass of this flywheel? a.) 1kg b) 2kg c.) 8kg d.) 4kg e.) none of these Consider the system shown below, in which three (3) pieces of clay are sliding across frictionless ice (and air resistance is negligible). The pieces of clay eventually collide and become a single 33.0kg piece of clay. After the collision occurs, resulting in one large piece of day, what is the velocity of that piece of clay? (Let to the right be defined as the + x - direction, and to the left the - x - direction.) a.) 4.00m/s b.) - 4.00m/s c.) 3.64m/s d.) - 3.64m/s e.) none of these

Explanation / Answer

2.

KE = 0.5*I*w^2

I = 0.5*m*r^2

KE = 0.25*m*r^2*w^2

dKE = KEf - KEi

KEi = 0, since w = 0

m = 4*dKE/(r^2*w^2)

m = 4*3900/(1.2^2*52.36^2) = 3.95 kg

m = 4 kg

correct option is D

3.

Using momentum conservation:

Pi = Pf

m1*v1 + m2*v2 + m3*v3 = (m1 + m2 + m3)*V

V = (m1*v1 + m2*v2 + m3*v3)/(m1 + m2 + m3)

V = (4*15 - 3*5 - 15*3)/(15 + 3 + 15)

V = 0 m/sec

Correct option is E.

None of these

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