Problem 6.1 (The ballistic pendulum) A ballistic pendulum can be used to de- termine the speed of the bullet fired from a rifle by determining its effect when it hits and is embedded in a pendulum. Consider a ballistic pendulum that con- sists of a suspended block of wood of mass M. A bullet of mass m and initial velocity v is fired into and becomes embedded in the block. To block swings up- wards a height h. (See Figure 6.9) Derive an equation for v in terms of the given quantities.

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Problem 6.1 (The ballistic pendulum) A ballistic pendulum can be used to de-
termine the speed of the bullet fired from a rifle by determining its effect when
it hits and is embedded in a pendulum. Consider a ballistic pendulum that con-
sists of a suspended block of wood of mass M. A bullet of mass m and initial
velocity v is fired into and becomes embedded in the block. To block swings up-
wards a height h. (See Figure 6.9) Derive an equation for v in terms of the given
quantities.
before
after
m
h|
Figure 6.9: The ballistic pendulum.
Transcribed Image Text:Problem 6.1 (The ballistic pendulum) A ballistic pendulum can be used to de- termine the speed of the bullet fired from a rifle by determining its effect when it hits and is embedded in a pendulum. Consider a ballistic pendulum that con- sists of a suspended block of wood of mass M. A bullet of mass m and initial velocity v is fired into and becomes embedded in the block. To block swings up- wards a height h. (See Figure 6.9) Derive an equation for v in terms of the given quantities. before after m h| Figure 6.9: The ballistic pendulum.
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