Please Help!! Show work and anwers please. A rifle bullet with mass 8.00 g strik

Question

Please Help!! Show work and anwers please.

A rifle bullet with mass 8.00 g strikes and embeds itself in a block with mass 0.992 kg that rests on a frictionless, horizontal surface and is attached to a coil spring. The impact compresses the spring. The impact compresses the spring 15.0..cm Calibration of the spring shows that a force of 0.750 N is required to compress the spring 0.250 cm. (Figure 1) Find the magnitude of the block's velocity just after impact. What was the initial speed of the bullet?

Explanation / Answer

Using energy conservation, setting (1/2)kx^2 to (1/2)mv^2 we find that the velocity was 2.598 m/s and using momentum conservation we find the velocity was 324.76 m/s.

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