Philosophy 2080 : The Guilty Mind

You are a world-famous physicist-lawyer defending a client who hasbeen charged with murder. It is alleged that your client, Mr.Smith, shot the victim, Mr. Wesson. The detective who investigatedthe scene of the crime found a second bullet, from a shot thatmissed Mr. Wesson, that had embedded itself into a chair. You ariseto cross-examine the detective. You: In what type of chair did youfind the bullet? Det: A wooden chair. You: How massive was thischair? Det: It had a mass of 30.0kg. You: How did the chair respondto being struck with a bullet? Det: It slid across the floor. You:How far? Det: Three centimeters. The slide marks on the dusty floorare quite distinct. You: What kind of floor was it? Det: A woodfloor, very nice oak planks. You: What was the mass of the bulletyou retrieved from the chair? Det: Its mass was 10 g. You: And howfar had it penetrated into the chair? Det: A distance of 6.00cm.You: Have you tested the gun you found in Mr. Smith's possession?Det: I have. You: What is the muzzle velocity of bullets fired fromthat gun? Det: The muzzle velocity is 350m/s. You: And the barrellength? Det: The gun has a barrel length of 62 cm.

With only a slight hesitation, you turn confidently to the jury andproclaim, "My client's gun did not fire these shots!" Calculate thedistance this chair could slid under given conditions to convincethe jury and the judge. The coefficient of kinetic friction for"wood-wood" is 0.2

Answer should be in cm.

You are a world-famous physicist-lawyer defending a client who hasbeen charged with murder. It is alleged that your client, Mr.Smith, shot the victim, Mr. Wesson. The detective who investigatedthe scene of the crime found a second bullet, from a shot thatmissed Mr. Wesson, that had embedded itself into a chair. You ariseto cross-examine the detective. You: In what type of chair did youfind the bullet? Det: A wooden chair. You: How massive was thischair? Det: It had a mass of 20.0 kg . You: How did the chairrespond to being struck with a bullet? Det: It slid across thefloor. You: How far? Det: Three centimeters. The slide marks on thedusty floor are quite distinct. You: What kind of floor was it?Det: A wood floor, very nice oak planks. You: What was the mass ofthe bullet you retrieved from the chair? Det: Its mass was 10 g.You: And how far had it penetrated into the chair? Det: A distanceof 7.00 cm . You: Have you tested the gun you found in Mr. Smith'spossession? Det: I have. You: What is the muzzle velocity ofbullets fired from that gun? Det: The muzzle velocity is 350 m/s .You: And the barrel length? Det: The gun has a barrel length of 62cm.

With only a slight hesitation, you turn confidently to the jury andproclaim, "My client's gun did not fire these shots!" Calculate thedistance this chair could slid under given conditions to convincethe jury and the judge. The coefficient of kinetic friction for"wood-wood" is 0.2

You are a world-famous physicist-lawyer defending a client who hasbeen charged with murder. It is alleged that your client, Mr.Smith, shot the victim, Mr. Wesson. The detective who investigatedthe scene of the crime found a second bullet, from a shot thatmissed Mr. Wesson, that had embedded itself into a chair. You ariseto cross-examine the detective. You: In what type of chair did youfind the bullet? Det: A wooden chair. You: How massive was thischair? Det: It had a mass of 30.0kg. You: How did the chair respondto being struck with a bullet? Det: It slid across the floor. You:How far? Det: Three centimeters. The slide marks on the dusty floorare quite distinct. You: What kind of floor was it? Det: A woodfloor, very nice oak planks. You: What was the mass of the bulletyou retrieved from the chair? Det: Its mass was 10 g. You: And howfar had it penetrated into the chair? Det: A distance of 6.00cm.You: Have you tested the gun you found in Mr. Smith's possession?Det: I have. You: What is the muzzle velocity of bullets fired fromthat gun? Det: The muzzle velocity is 350m/s. You: And the barrellength? Det: The gun has a barrel length of 62 cm.

With only a slight hesitation, you turn confidently to the jury andproclaim, "My client's gun did not fire these shots!" Calculate thedistance this chair could slid under given conditions to convincethe jury and the judge. The coefficient of kinetic friction for"wood-wood" is 0.2

Answer should be in cm.