Answer:
128805.2988 cm squared or 128000 to 3 significant figures.
Explanation:
Area of a circle : pi times radius squared or 
pi times 4.1×10^4 cm = 41000 pi or 128805.2988
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Answer:
33.14 m/s
Explanation:
The mass of the block is 121g or .121 kg. As the bullet is lodged in the block the total mass is 121+14 = 135 g or 0.135 kg.
The frictional force that makes the block come to a stop is normal force* coefficient of friction = 0.135 * 9.8 * 0.7 = 0.9261 N
As the block comes to rest after sliding for 8.3 meters the energy it was given by the bullet is
0.135 * 9.8 * 0.7 * 8.3
= 7.69 Nm
Now this energy is provided the bullet. So the energy in the bullet was equal to
1/2 * mv² = 0.5 * 14 * v².
0.5 * 0.014 * v^2 = 0.135 * 9.8 * 0.7 * 8.3 = 7.69
=> 0.007 * v² = 7.69
=> v² = 7.69 / 0.007
=> v² = 1098.57
=> v = √1098.57
=> v = 33.14 m/s
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