please solve... The ballistic pendulum (see figure a) is a device used to measur
ID: 2197434 • Letter: P
Question
please solve...
The ballistic pendulum (see figure a) is a device used to measure the speed of a fast-moving projectile such as a bullet. The bullet is fired into a large block of wood suspended from some light wires. The bullet is stopped by the block, and the entire system swings up to a heighth. It is possible to obtain the initial speed of the bullet by measuringhand the two masses. As an example of the technique, assume that the mass of the bullet,m1, is4.85g, the mass of the pendulum,m2, is1.083kg, andhis5.10cm. Find the initial speed of the bullet,v1i.
=224.34 m/s
Explanation / Answer
Similar to the first example: m v = (m + M) V v = (m + M) V / m by conservation of momentum 1/2 (m + M) V^2 = 1/2 k x^2 by conservation of energy where V is the speed of the combined mass So V^2 = k x^2 / (m + M) V^2 = 594 * .0603^2 / (1.973 + .00514) = .0109 V = 1.04 m/s speed of combined mass Use the very first equation to calculate v v =(1.973 + .00514) * 1.04 / .00514 = 400 m/s
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