A particle moving in the xy plane experiences a velocity dependent force F =k (v_y i+v_x j )where V_X and v_y are the x and y components of its velocity v. If a is the acceleration of the particle, t…

Question

A particle moving in the xy plane experiences a velocity dependent force F =k (v_y i+v_x j )where V_X and v_y are the x and y components of its velocity v. If a is the acceleration of the particle, then which of the following statements is true for the particle?

Accepted Answer

Correct answer: C. (c) dv_x dt= kmV_y dv_y dt= kmV_x ⇒ dv_xdv_y= v_yv_x ⇒v_x dx=v_y dy ⇒v_x^2=v_y^2+c v a = (v_x^2-v_y^2 ) km v a = kCm

$A particle moving in the xy plane experiences a velocity dependent force F \to= k (v_{y} i^+ v_{x} j^) where V_{X} and v_{y} are the x and y components of its velocity v . If a is the acceleration of the particle, then which of the following statements is true for the particle?$

Solution

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