A tiny raindrop of mass (0.0040

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

Problem

A tiny raindrop of mass 0.0040 kg0.0040\,\text{kg} strikes a horizontal leaf. The raindrop’s linear momentum along the vertical +y+y axis is recorded at the times listed below; between the times shown the momentum varies linearly. Time t (s)t\,\text{(s)}: 0.000  0.002  0.004  0.006 Momentum p (kg⋅m/s)p\,\text{(kg·m/s)}: 0.000  0.080  0.000  -0.040 Positive momentum is upward. (1) Determine the magnitude and direction of the net external force acting on the raindrop during each of the three time intervals: 0–0.002 s, 0.002–0.004 s, and 0.004–0.006 s. (2) Compute the total impulse delivered to the raindrop over the entire 0.006 s interval and state its direction. (3) Using the mass of the raindrop, calculate the average acceleration during the first interval (0 ≤ tt ≤ 0.002 s). Compare this value with g=9.8 m/s2g = 9.8\,\text{m/s}^2 and discuss physically plausible reasons for any difference.

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