A bullet of mass m = 5 g moving with a speed of v; = 400...

 

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A bullet of mass m = 5 g moving with a speed of v; = 400 m/s is fired into and passes through a block of mass M = 1 kg, as shown in the figure. The block which is initially at rest on a frictionless surface is connected to a spring with force constant k = 900 N/m. The block moved a distance d = 5 cm to the right after the impact before being brought momentarily to rest by the spring. Assume that the 400 m/s D V a) Find the maximum speed of the block (just after the bullet emerges from it). b) Find the compression of the spring (x) when the speed of the block is (0.5 m/s). A bullet of mass m = 5 g moving with a speed of v; = 400 m/s is fired into and passes through a block of mass M = 1 kg, as shown in the figure. The block which is initially at rest on a frictionless surface is connected to a spring with force constant k = 900 N/m. The block moved a distance d = 5 cm to the right after the impact before being brought momentarily to rest by the spring. Assume that the 400 m/s D V a) Find the maximum speed of the block (just after the bullet emerges from it). b) Find the compression of the spring (x) when the speed of the block is (0.5 m/s).

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To answer these questions we need to apply the principles of conservation of momentum and energy Lets tackle each part of the question step by step a ... View the full answer