Problem #3 A heavy bullet of mass m 0.100 kg is fired with an initial velocity v = 200. m/s into a large block of lightweight wood of mass M = 0.800 kg, which is initially at rest on a frictionless surface. This initial situation is depicted on the left side of the picture below. The bullet gets stuck inside of the wood block and both move together thereafter as shown in the picture. a) If the bullet had been fired from an extremely powerful and dangerous "toy" gun consisting a spring of unknown spring constant k which had to be compressed by an amount x; = 0.300 m in order to load the gui what would the spring constant k have to be in order to fire the bullet at the required initial velocity v = 200. m/s? Ax M V M Cニニニ b) What is the velocity V of the wood block and bullet system immediately after the perforation? c) A small time after the perforation is complete the block (w/bullet inside) slides onto a rough surface with a coefficient of kinetic friction Hk=0.250. It comes to a stop after sliding a distance Ax on the rough surface as shown on the right side of the picture above. What is the value of Ax?
Problem #3 A heavy bullet of mass m 0.100 kg is fired with an initial velocity v = 200. m/s into a large block of lightweight wood of mass M = 0.800 kg, which is initially at rest on a frictionless surface. This initial situation is depicted on the left side of the picture below. The bullet gets stuck inside of the wood block and both move together thereafter as shown in the picture. a) If the bullet had been fired from an extremely powerful and dangerous "toy" gun consisting a spring of unknown spring constant k which had to be compressed by an amount x; = 0.300 m in order to load the gui what would the spring constant k have to be in order to fire the bullet at the required initial velocity v = 200. m/s? Ax M V M Cニニニ b) What is the velocity V of the wood block and bullet system immediately after the perforation? c) A small time after the perforation is complete the block (w/bullet inside) slides onto a rough surface with a coefficient of kinetic friction Hk=0.250. It comes to a stop after sliding a distance Ax on the rough surface as shown on the right side of the picture above. What is the value of Ax?
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Transcribed Image Text:Problem # 3
A heavy bullet of mass m = 0.100 kg is fired with an initial velocity v= 200. m/s into a large block of lightweight
wood of mass M= 0.800 kg, which is initially at rest on a frictionless surface. This initial situation is depicted on the
left side of the picture below. The bullet gets stuck inside of the wood block and both move together thereafter as
shown in the picture. a) If the bullet had been fired from an extremely powerful and dangerous "toy" gun consisting·
a spring of unknown spring constant k which had to be compressed by an amount x;j = 0.300 m in order to load the gui
what would the spring constant k have to be in order to fire the bullet at the required initial velocity v = 200, m/s?
Ax
M
V
M
b) What is the velocity V of the wood block and bullet system immediately after the perforation?
c) A small time after the perforation is complete the block (w/bullet inside) slides onto a rough surface with a
coefficient of kinetic friction Hk= 0.250. It comes to a stop after sliding a distance Ax on the rough surface as
shown on the right side of the picture above. What is the value of Ax?
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