The amount of work that has been done on the projectile by air friction is 7,569.2 J.
Work done by air friction on the projectile
The work done by air friction on the projectile is calculated as follows;
W = ΔK.E
W = ¹/₂mvf² - ¹/₂mv₀²
where;
- vf is the final velocity = 85 m/s
- v₀ is the initial vertical velocity = 100 x sin(20) = 34.2 m/s
W = ¹/₂m(vf² - v₀²)
W = ¹/₂ x 2.5 (85² - 34.2²)
W = 7,569.2 J
Thus, the amount of work that has been done on the projectile by air friction is 7,569.2 J.
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