Problem 5. A ballistic (m = 500 g) is traveling with a speed vo = 5 m/s directly towards the middle of a thin rod (M = 2 kg, L2 m), as shown below. The ballistic collides with and sticks to the rod, causing it to swing about a hinge at an angle o, as shown below. The moment of inertia of a rod rotating about one of its ends is Irod = ML². m. v. M, L Part (a) Which of the following quantities are conserved during the collision? (a) Mechanical Energy (b) Linear Momentum (c) Angular Momentum (d) Net Force Part (b) Find the angular speed of the ballistic-rod system after the collision. Part (c) Determine the maximum angle to which the ballistic and rod swing after the collision. Part (d) If you wanted the ballistic and rod to swing higher, should you aim the ballistic higher or lower? Defend your reasoning with a conceptual argument.
Problem 5. A ballistic (m = 500 g) is traveling with a speed vo = 5 m/s directly towards the middle of a thin rod (M = 2 kg, L2 m), as shown below. The ballistic collides with and sticks to the rod, causing it to swing about a hinge at an angle o, as shown below. The moment of inertia of a rod rotating about one of its ends is Irod = ML². m. v. M, L Part (a) Which of the following quantities are conserved during the collision? (a) Mechanical Energy (b) Linear Momentum (c) Angular Momentum (d) Net Force Part (b) Find the angular speed of the ballistic-rod system after the collision. Part (c) Determine the maximum angle to which the ballistic and rod swing after the collision. Part (d) If you wanted the ballistic and rod to swing higher, should you aim the ballistic higher or lower? Defend your reasoning with a conceptual argument.
College Physics
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Author:Raymond A. Serway, Chris Vuille
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Transcribed Image Text:Problem 5.
A ballistic (m = 500 g) is traveling with a speed vo = 5 m/s directly
towards the middle of a thin rod (M
=
2 kg, L2 m), as shown below. The ballistic collides
with and sticks to the rod, causing it to swing about a hinge at an angle o, as shown below. The
moment of inertia of a rod rotating about one of its ends is Irod = ML².
m. v.
M, L
Part (a) Which of the following quantities are conserved during the collision?
(a) Mechanical Energy
(b) Linear Momentum
(c) Angular Momentum
(d) Net Force
Part (b) Find the angular speed of the ballistic-rod system after the collision.
Part (c) Determine the maximum angle to which the ballistic and rod swing after the
collision.
Part (d) If you wanted the ballistic and rod to swing higher, should you aim the ballistic
higher or lower? Defend your reasoning with a conceptual argument.
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