Problem: A particle of mass m near the surface of Earth is launched with an initial velocity v0 at an angle θ above the horizontal. Using the origin as the pivot, find the angular momentum when the particle is at the highest point of its trajectory. The z-axis points out of the page. 1. L = mv03/2g sinθ cos2 θ k 2. L = mv03/2g sin2 θ cosθ k 3. L = mv02/2g sin2 θ cosθ k 4. L = - mv02/2g sinθ cos2 θ k 5. L = - mv03/2g sin2 θ cosθ k 6. L = mv02/2g sinθ cosθ k 7. L = - mv02/2g sin2 θ cosθ k 8. L = - mv02/2g tan3 θ k 9. L = mv02/2g tan3 θ k 10. L = - mv02/2g sin θ cos2 θ k

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Problem Details

A particle of mass m near the surface of Earth is launched with an initial velocity v0 at an angle θ above the horizontal. Using the origin as the pivot, find the angular momentum when the particle is at the highest point of its trajectory. The z-axis points out of the page.

1. = mv03/2g sinθ cos2 θ k

2. = mv03/2g sin2 θ cosθ k

3. = mv02/2g sin2 θ cosθ k

4. = - mv02/2g sinθ cos2 θ k

5. = - mv03/2g sin2 θ cosθ k

6. = mv02/2g sinθ cosθ k

7. = - mv02/2g sin2 θ cosθ k

8. = - mv02/2g tan3 θ k

9. = mv02/2g tan3 θ k

10. = - mv02/2g sin θ cosθ k

Solution Details

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Our tutors have indicated that to solve this problem you will need to apply the Angular Momentum of Objects in Linear Motion concept. You can view video lessons to learn Angular Momentum of Objects in Linear Motion Or if you need more Angular Momentum of Objects in Linear Motion practice, you can also practice Angular Momentum of Objects in Linear Motion practice problems .

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