Question

A radio-controlled model airplane has a momentum given by [(−0.75𝑘𝑔 ∙ 𝑚 𝑠 3 ⁄ )𝑡 2 + (3.0𝑘𝑔 ∙ 𝑚⁄𝑠)]𝑖̂+ (0.25𝑘𝑔 ∙ 𝑚 𝑠 2 ⁄ )𝑡𝑗̂. What are the 𝑥-, 𝑦-, and 𝑧-components of the net force on the airplane?

Answer 1

$\vec p=(-0.75t^2+3)\cdot\vec i+0.25t\cdot\vec j$

$\vec F=d\vec p/dt=-1.5t\cdot \vec i+0.25\cdot\vec j$

$F_x=-1.5t$ , $F_y=0.25$ , $F_z=0$