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**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

###### FREE Expert Solution

###### Problem Details

A particle of mass m near the surface of Earth is launched with an initial velocity v_{0} 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 *= mv

_{0}

^{3}/2g sinθ cos

^{2}θ

**k**

2. * L *= mv

_{0}

^{3}/2g sin

^{2}θ cosθ

**k**

3. * L *= mv

_{0}

^{2}/2g sin

^{2}θ cosθ

**k**

4. * L *= - mv

_{0}

^{2}/2g sinθ cos

^{2}θ

**k**

5. * L *= - mv

_{0}

^{3}/2g sin

^{2}θ cosθ

**k**

6. * L *= mv

_{0}

^{2}/2g sinθ cosθ

**k**

7. * L *= - mv

_{0}

^{2}/2g sin

^{2}θ cosθ

**k**

8. * L *= - mv

_{0}

^{2}/2g tan

^{3}θ

**k**

9. * L *= mv

_{0}

^{2}/2g tan

^{3}θ

**k**

10. * L *= - mv

_{0}

^{2}/2g sin θ cos

^{2 }θ

**k**

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

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 .

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 10 minutes to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Florin's class at TEXAS.