A 3.0kg object moving at m/s collides with a 2.1 kg object moving at m/s. What i

Question

A 3.0kg object moving at m/s collides with a 2.1 kg object moving at m/s. What is the magnitude of the initial momentum of the system to two significant figures? kgm/s If this collision is perfectly inelastic, what is the velocity vector of the system? Please express your vector in notation and keep 2 significant figures for each component, if applicable. m/s A small ball of mass 0.30kg moves to the right at a constant speed of 3.4 m/s. To indicate direction, keep the quantity positive to indicate that it moves to the right and negative to indicate that it moves leftwards. To two significant figures, what Is the momentum of the ball? kgm/s If the ball were to travel the other way, what is its momentum (to two significant figures)? kgm/s

Explanation / Answer

a)

Initial momentum = summation of product of mass and velocity.

Pi = m1u1 + m2u2 = 3*<3.2,3.3,0> + 2.1*<-2.2, -5.3, 0>

Pi = <4.98,-1.23,0> kg m/s

b)

the angular momentum is conserved and hence the final momentum will be Pf = Pi

the final velocity = Pf/(m1+m2) = <4.98,-1.23,0>/(3+2.1) = <0.98,-0.24,0> m/s

c)

The momentum = mass * velocity

P = 0.30*3.4 = 1.02 kg.m/s.

d)

momentum in this case will be P = -1.02 kg m/s

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