In compressing the spring in a toy dart gun 4 J of work isdone. When the gun is

Question

In compressing the spring in a toy dart gun 4 J of work isdone. When the gun is fired, the spring gives its potential energyto a dart with a mass 0.02 kg. a. What is the dart's kinetic energy as it leaves thegun? b. What is the dart speed? The ceiling of an arena is 19.8 m above the floor. What is theminimum speed that a thrown ball would have t have to reach theceiling? In compressing the spring in a toy dart gun 4 J of work isdone. When the gun is fired, the spring gives its potential energyto a dart with a mass 0.02 kg. a. What is the dart's kinetic energy as it leaves thegun? b. What is the dart speed? The ceiling of an arena is 19.8 m above the floor. What is theminimum speed that a thrown ball would have t have to reach theceiling?

Explanation / Answer

a) K.E of dart = work done                       = 4 J b)let dart speed = v so we have 1/2 mv2 = 4                v 2= 4x2/0.02                 v = 20 m/s so the darts speed = 20 m/s now, for the second part we have, ceiling of an arena is 19.8 m above the floor. let the minimum speed be v so we have, v2 = 2gh v2 = 2 x 9.81 x 19.8    v = 19.7 m/s

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