An object of mass m is projected from the origin in a vertical xy-plane at an angle 45^° with the x-axis with…

Question

An object of mass $$m$$ is projected from the origin in a vertical $$xy$$-plane at an angle $$45^\circ$$ with the x-axis with an initial velocity $$v_0$$. The magnitude and direction of the angular momentum of the object with respect to the origin, when it reaches the maximum height, will be [$$g$$ is the acceleration due to gravity]:

Accepted Answer

D. $$\frac{mv_0^3}{4\sqrt{2}g}$$ along negative z-axis

Answer

A. $$\frac{mv_0^3}{2\sqrt{2}g}$$ along negative z-axis

Answer

B. $$\frac{mv_0^3}{2\sqrt{2}g}$$ along positive z-axis

Answer

C. $$\frac{mv_0^3}{4\sqrt{2}g}$$ along positive z-axis

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