Question

A shell is shot towards the east with speed $v_0$ at elevation angle $\alpha$ from artillery located at latitude $\lambda$ (northern hemisphere) on the earth's surface. When the shell strikes the ground, due to the earth's rotation a. Show it will be deflected to the south by $\frac{4\omega v_0^3}{g^2} \sin\lambda \sin^2\alpha \cos\alpha$ b. What will be the change in its range? Solve to first order in $\omega$, ignore air resistance and assume $g$ is constant.

          A shell is shot towards the east with speed $v_0$ at elevation angle $\alpha$ from artillery located at
latitude $\lambda$ (northern hemisphere) on the earth's surface. When the shell strikes the ground,
due to the earth's rotation
a. Show it will be deflected to the south by
$\frac{4\omega v_0^3}{g^2} \sin\lambda \sin^2\alpha \cos\alpha$
b. What will be the change in its range?
Solve to first order in $\omega$, ignore air resistance and assume $g$ is constant.

A shell is shot towards the east with speed v0 at elevation angle α from artillery located at
latitude λ (northern hemisphere) on the earth's surface. When the shell strikes the ground,
due to the earth's rotation
a. Show it will be deflected to the south by
(4ω v0^3)/(g^2)sinλsin^2αcosα
b. What will be the change in its range?
Solve to first order in ω, ignore air resistance and assume g is constant.

Added by Stephanie B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Carson Merrill

07/01/2021

Step 1

The shell is shot towards the east, which means it is moving in the positive x-direction. The earth's rotation causes a deflection to the right in the northern hemisphere, which is in the positive y-direction. Therefore, the shell will be deflected to the south, Show more…

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A shell is shot towards the east with speed vo at elevation angle a from artillery located at latitude (northern hemisphere on the earth's surface.When the shell strikes the ground due to the earth's rotation a. Show it will be deflected to the south by 4v3 sin sina cosa 92 What will be the change in its range? b. Solve to first order in w,ignore air resistance and assume g is constant