You pick up two dice, shake th
You pick up two dice, shake them around, and then over thecourse of 0.08 seconds throw them horizontally over a table,providing them with horizontal speeds of 0.6 and 0.5 m/srespectively. If the mass of each die is 3 grams, with what totalforce did you supply to the dice? (Consider that this is also thetotal force exerted back upon your hand by the dice.)
Report the value in millinewtons rounded to the nearestwhole number.
Answer:
Mass of each die is m=3g=0.003kg
Initial velocity of both dice isv1i=v2i=0
Final velocity of dice 1 is v1f=0.6m/s
Final velocity of dice 2 is v2f=0.5m/s
Initial momentum of both dices is zero, because their initialvelocities are zero.
Final momentum of dice 1 is
Final momentum of dice 2 is
Force is equal to the rate of change of momentum. Force on dice1 is
The change takes place in 0.08s
Force on dice 2 is
The change takes place in 0.08s
Total force supplied to the dice is
Using 10-3N=1mN
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