T1a6s - Assignment 6 solutions (Fall term Physics 102) 6.2...

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6.2 Assume the initial direction of the ball in the – x direction, away from the net. Assignment 6 solutions (Fall term Physics 102) (a) ( ) ( ) ( ) 0.0600 kg 40.0 m s 50.0 m s fi Impulse p m v v =∆ = = − − giving 5.40 kg m s Impulse =⋅ = 5.40 N s toward the net. (b) ( ) 22 1 2 Work KE m v v =∆ = ( ) ( ) ( ) 0.0600 kg 40.0 m s 50.0 m s 2 ⎡⎤ ⎣⎦ == 27.0 J 6.6 From the impulse-momentum theorem, ( ) F tp m vm ∆= v . Thus, ( ) () ( ) ( ) -3 2 55 10 kg 2.0 10 ft s 0 1 m s 0.0020 s 0 3.281 ft s mv v F t ×× ⎛⎞ = 1.7 kN ⎜⎟ ∆− ⎝⎠ . 6.33 First, we use conservation of mechanical energy to find the speed of the block and embedded bullet just after impact: 11 becomes 0 0 ss PE m M V kx += + + + = + , and yields 2 2 150 N m 0.800 m 29.3 m s 0.0120 0.100 kg kx V mM = ++ Now, employ conservation of momentum to find the speed of the bullet just before impact: ( ) ( ) 0 , or M m M V + 0.112 kg 29.3 m s 0.0120 kg vV m + = 273 m s . 6.42 Choose the + x -axis to be eastward and the + y -axis northward. 1
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CHAPTER 6 (a) Conserving momentum in the x direction gives ( ) ( ) ( ) 2 0 10.0 kg 8.00 kg 15.0 m s 0 x v += + , or 2 12.0 m s x v = .
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T1a6s - Assignment 6 solutions (Fall term Physics 102) 6.2...

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