The bumper boats at your local theme park each have an inertia of 88 kg . In boa

Question

The bumper boats at your local theme park each have an inertia of 88 kg . In boat 1 are a man of unknown inertia, a 43-kg woman, and a 3.0-kg dog. In boat 2 are an 86-kg father, a 50-kg mother, and a 30-kg son. Boat 1 collides at 1.5 m/s with boat 2, which is initially at rest. Two seconds after the collision, boat 2 has moved 2.3 m and boat 1 has moved 0.26 m in the opposite direction. The collision took 0.50 s. Take the initial direction of motion of boat 1 as positive.

a) What is the velocity of boat 1 after the collision?

Express your answer with the appropriate units.

b) What is the velocity of boat 2 after the collision?

Express your answer with the appropriate units.

c) What is the change in velocity of boat 1?

Express your answer with the appropriate units.

d) What is the change in velocity of boat 2?

Express your answer with the appropriate units.

e) What is the man's inertia?

Express your answer with the appropriate units.

f) What was average acceleration of boat 1 during the collision?

Express your answer with the appropriate units.

g) What was average acceleration of boat 2 during the collision?

Express your answer with the appropriate units.

Explanation / Answer

a ) velocity = displacement/time = -0.26/2 = -0.13m/sec

b) velocity = displacement/time = 2.3/2 = 1.15 m/sec

c) change in velocity = -0.13-.1.5 = -1.63 m/sec

d) change in velocity = 1.15-0 = 1.15m/sec

e) conserving momentum of the sysytem

(88+43+3+m) 1.5 = (88+43+m)-0.13 + (88+86+50+30)1.15

(134+m)1.63 = 1.15 (254)

m = 45.2 kg

f)

acceleration = change invelocity / time

a = -1..63/0.5 = -3.26 m/sec^2

g)

acceleration = change invelocity / time

a = 1.15 /0.5 = 2.3 m/sec^2

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