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During an experiment a student records the net horizontal force exerted on an object moving in a straight line along a horizontal frictionless track. The graph above shows the force as a function of time. Of the following, which is the best approximation of the magnitude of the change in momentum of the object between 0 s and 4 s? (A) 20 kg•m/s (B) 30 kg•m/s (C) 40 kg•m/s () The magnitude of the change in momentum
During an experiment a student records the net horizontal force exerted on an object moving in a straight line along a horizontal frictionless track. The graph above shows the force as a function of time. Of the following, which is the best approximation of the magnitude of the change in momentum of the object between 0 s and 4 s? (A) 20 kg•m/s (B) 30 kg•m/s (C) 40 kg•m/s () The magnitude of the change in momentum
The best approximation for the magnitude of the change in momentum between 0 s and 4 s is 40 N*s, aligning with option (C) - 40 kg•m/s.To determine the magnitude of the change in momentum, we employ the impulse-momentum theorem, stating that impulse is equivalent to the change in momentum.The impulse (J) is calculated as the area beneath the force-time graph. For the given 0 s to 4 s interval, it forms a triangular area, with a base of 4 s and a height of 20 N.The formula for the area of a triangle is A = 1/2 * base * height.In this scenario, the base is the time interval (4 s - 0 s = 4 s), and the height is the force (20 N).J = 1/2 * base * heightJ = 1/2 * 4 s * 20 NJ = 40 N*sAccording to the impulse-momentum theorem, the change in momentum (Δp) is equal to the impulse.Δp = JΔp = 40 N*sTherefore, the best approximation for the magnitude of the change in momentum between 0 s and 4 s is 40 N*s, aligning with option (C) - 40 kg•m/s....