1) A 5.0 kg wad of putty drops vertically onto a cart with a mass of 10.0 kg tha

Question

1) A 5.0 kg wad of putty drops vertically onto a cart with a mass of 10.0 kg that is moving horizontally at 5.0 m/s. What is the speed of the cart with the putty?

2) A 1.0 kg dart moves horizontally at 8.0 m/s and strikes to a wooden block initially at rest on a friction free surface. The block has a mss of 12.0 kg. What is the speed of the block after being hit?

3) A launcher with a mass of 2400 kg resting on a horizontal, frictionless surface fires a 38 kg projectile horizontally at 520 m/s. What is the recoil speed of the launcher?

Explanation / Answer

1) m1 = 5 kg , m2 = 10 kg , u2 = 5 m/s

from consevation of momentum

m1u1 +m2u2 = (m1+m2)v

5*0 + 10*5 = (5+10)v

v = 3.33 m/s

2) m1 = 1 kg , u1 = 8 m/s, m2 = 12 kg , u2 =0

from consevation of momentum

m1u1 +m2u2 = (m1+m2)v

1*8 +0 = (8+12)v

v = 0.4 m/s

3) from conservation of momentum

Pi = Pf

2400*u = 38*520

u = 8.233 m/s

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