The linear momentum of a (0.20

PHYSICS · Multi-part · CBSE · Physics · Force and Laws of Motion · Force and Laws of Motion

Problem

The linear momentum of a 0.20 kg0.20\,\text{kg} ball moving along the xx-axis was measured at five equally spaced times, producing the data table below. Time t (s)t\,\text{(s)}  1.0  2.0  3.0  4.0  5.0 Momentum p (kg⋅m/s)p\,\text{(kg·m/s)} 1.6  0.4  0.4  1.6  4.0 Between the listed instants the momentum varies smoothly but not linearly. (1) Using the data, calculate the average net external force that acted on the ball during the interval 1.0 s ≤ tt ≤ 5.0 s. (2) Indicate the direction of the average force found in part (a) relative to the +x+x axis. (3) Estimate the instantaneous net external force at t=3.0 st = 3.0\,\text{s} by calculating the slope of the line joining the data points at 2.0 s and 4.0 s. Explain how this instantaneous force compares with the average force determined in part (a).

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