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P20 012

A dart of mass 0.040 kg is thrown and strikes a dart board at 15.0 m.s-1 perpendicular to the board. The dart takes 0.010 s to come to rest in the board. Calculate:

A    The impulse of the board on the dart.

B     The average force acting on the dart.

C     The stopping distance of the dart.

 

View solution below only after you have completed the answering the question.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solution

The dart is the System   m = 0.040 kg

Assume a [1D] problem with   +X à

Event #1 the instant just before the dart strikes the board   v1 = 15.0 m.s-1

Event #2, the instant the dart comes to rest        v2 = 0  

Momentum                                     

Impulse                                              

Kinetic Energy                                

Work                                              

Impulse                                        

Average stopping force     

Work done by stopping force        

Stopping distance