1. A 57 kg boy and a 40 kg girl use an elastic rope while engaged in a tug-of-wa
ID: 1309415 • Letter: 1
Question
1. A 57 kg boy and a 40 kg girl use an elastic rope
while engaged in a tug-of-war on a frictionless
icy surface.
If the acceleration of the girl toward the
boy is 2.3 m/s2, determine the magnitude of
the acceleration of the boy toward the girl.
Answer in units of m/s2
2. A(n) 20.7 g bullet is shot into a(n) 5314 g
wooden block standing on a frictionless sur-
face. The block, with the bullet in it, acquires
a velocity of 1.89 m/s.
Calculate the velocity of the bullet before
striking the block.
Answer in units of m/s
3. A car with mass 1168 kg, moving at 31 m/s,
strikes a(n) 2210 kg car at rest. If the two
cars stick together, with what speed do they
move?
Answer in units of m/s
Explanation / Answer
1) 2.3*(40/57) = 1.614 m/s^2
2) Conservation of momentum so mv is constant.
Total final mass = 5314+20.7 = 5334.7g
Total final momentum = 5334.7 x 1.89 gm/s = 10082.583 gm/s
Bullet's initial momentum = 10082 gm/s
Momentum/mass = velocity
10082/20.7 =487 m/s
c) (mass 1) x (initial velocity of mass 1) + (mass 2) x (initial velocity of mass 2) = (mass 1 + mass 2) x (final velocity of the cars)
1168*31+0= 3378*v
v= 0.346 m/s
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