Part of eval pr72 v4 main rerun 1, agent version bd007a8
Q. A body of 5 kg is pushed by two forces at right angles to each other, 8 N and 6 N. How strongly does it accelerate, in m/s²? expects 2 m/s²
draft 24: failed while solving — RuntimeError: no equation determines the acceleration of body during pushed from what is known the engine knows: known: mass of body; force on body by pusher1 during pushed; force on body by pusher2 during pushed; magnitude_from_components(acceleration of body during pushed): acceleration of body during pushed == sqrt(((acceleration of body during pushed along x ** 2) + (acceleration of body during pushed along y ** 2))) — not yet known: acceleration of body during pushed along x; acceleration of body during pushed along y
Latest draft
question.rb1 question :two_forces_at_right_angles do2 kind :numerical3 describes "A body of mass %{mass} is pushed by two forces at right angles to each other, %{force1} and %{force2}. " \4 "%{acceleration}, in m/s2?"5 given mass: "5 kg"6 given force1: "8 N"7 given force2: "6 N"8 asks acceleration: "How strongly does it accelerate"9 end
solution.rb1 solve :two_forces_at_right_angles, using: [NewtonsSecondLaw, Vectors] do2 objects :body, :pusher1, :pusher23 axes :x, :y4 body.goes(:pushed)5 6 take mass: body.mass7 take force1: body.force(by: pusher1, during: pushed).magnitude8 take force2: body.force(by: pusher2, during: pushed).magnitude9 10 deduce_from "at right angles to each other", body.net_force(during: pushed).magnitude => sqrt(force1**2 + force2**2)11 12 acceleration = body.acceleration.magnitude13 answer acceleration:, in: "m/s2"14 15 conclusion "The two forces are perpendicular, so the resultant is the hypotenuse of the right triangle they form; Newton's second law gives the acceleration from the resultant force and mass."16 end