1. Which has the larger linear momentum: a 1,700-kg houseboat going 7 m/s or a 5

Question

1. Which has the larger linear momentum: a 1,700-kg houseboat going 7 m/s or a 570-kg speedboat going 25 m/s?



2. A 7,600-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the collision and move with speed 3 m/s. What was the speed of the truck before the collision?


3. In compressing the spring in a toy dart gun, 0.6 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.08 kg.



a. What is the dart's kinetic energy as it leaves the gun?


b. What is the dart's speed?

Explanation / Answer

1). linear momentum of houseboat = 1700*7 = 11900 kg-m/s momentum of speedboat = 570*25 = 14250 kg-m/s momentum of speedboat is higher. 2).from momentum conservation; 7600*v + 0 = (7600 +1000)*3 => v = 3.395 m/s 3). W = change in K.E. => K.E. of dart = 0.6 J 0.5*m*v^2 = 0.6 => 0.5*0.08*v^2 = 0.6 => v = 3.873 m/s

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