A wagon filled with sand has a hole so that sand leaks through the bottom at a constant rate λ. An external force 𝐹 ⃗ acts on the wagon in the direction of motion. Assuming instantaneous velocity of the wagon to be 𝑉 ⃗ and initial mass of system to be m0, the force equation governing the motion of the wagon is 𝐹 ⃗ = 𝑚_0 (𝑑𝑉 ⃗" " )/𝑑𝑥 + λ𝑉 ⃗ 𝐹 ⃗ = 𝑚_0 (𝑑𝑉 ⃗" " )/𝑑𝑥 - λ 𝑉 ⃗ 𝐹 ⃗ = (𝑚_0−"λ " 𝑡)(𝑑𝑉 ⃗" " )/𝑑𝑥 (𝑚_0−"λ " 𝑡)(𝑑𝑉 ⃗" " )/𝑑𝑥 + λ 𝑉 ⃗

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