Answer:
Horizontal component, Fx = -7045.59 N (Leftwards)
Vertical component, Fy = 2982.96 N (Upwards)
Explanation:
Mass of the baseball = 0.145 kg
Before impact, v₁ = 40 m/s
After impact, v₂ = 52 m/s
time of impact, t = 1.75 ms = 0.00175 s
According to the second law of motion, F = m(v₂ - v₁)/t
Resolving vectorially,
v₁ = 40i m/s ( right = +ve x)
v₂ = -52 cos 30 i + 52 sin 30 j m/s ( to the left (-ve x) and upwards (+ve y))
v₂ = -45.03i + 36j m/s
F = m(v₂ - v₁)/t
F = 0.145 (-45.03i + 36j - 40i)/ 0.00175
F = 0.145 (-85.03i + 36j)/ 0.00175
F = 82.86 (-85.03i + 36j)
F = -7045.59i + 2982.96j N
Fx = -7045.59 N (Leftwards)
Fy = 2982.96 N (Upwards)