Answered: shooting bullets into conveniently…

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 45AP: Review. A bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at...

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Next up on this adventure, shooting bullets into conveniently shaped pendulum systems to have a setup for a ballistic pendulum. In this case, a projectile, (m = 0.50kg) is fired into a large block of wood of mass (m = 20 kg) suspended like a pendulum. As a result of this inelastic collision, the pendulum and projectile together swing up to a height of 10m. What was the initial speed of the bullet?

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Expert Solution

Step 1

using conservation of energy after the collision

(1/2)(m+M)V² = (m+M)gh

(1/2)(V)² = (9.8 )(10)

V = 14 m/s

using conservation of momentum before and after the collision

mu = (M+m)V

0.5 * u = (20+0.5)(14)

0.5 * u = 287

u = 574 m/s

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