The average force exerted on the ball during the serve is 57 N the resistive force is -1125 N.
a. Average force
Using this formula
Force (F) = Mass ×Acceleration
Where:
Mass (m) = 57 g = 57 / 1000= 0.057 Kg
Acceleration (a) = u / t = 50 / 0.05 = 1000 m/s²
Let plug in the formula
Force (F) = 0.057 × 1000
Force (F) = 57 N
b. Resistive force
F = m(v – u) / t
Where:
Force (F) = ?
Mass (m) = 3000 Kg
Initial velocity (u) = 72 Km/h = 72 / 3.6 = 20 m/s
Final velocity (v) = 18 Km/h = 18 / 3.6 = 5 m/s
Time (t) = 40s
Let plug in the formula
Force = 3000(5 – 20) / 40
Force = 3000(-15) / 40
Force=-45,000/40
Force = -1125 N
Therefore the average force exerted on the ball during the serve is 57 N the resistive force is -1125 N.
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