A 20.0 g lead bullet leaves a rifle at a temperature of 47.0C and travels at a

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A 20.0 g lead bullet leaves a rifle at a temperature of 47.0°C and travels at a speed of 5.00 × 102 m/s until it hits a 6.0 kg block of ice at 0°C that is initially at rest on a frictionless surface. The bullet becomes embedded in the ice. 

(a) How fast is the the block of ice moving after the bullet is embedded? 

(b) How much ice melts?

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