Answer:
F = 41,954 N
Explanation:
given,
mass of bucket = 580 Kg
length of the cable = 20 m
velocity = 40 m/s
angle made = 38.0°
T cos 38° = m g..............(1)
T sin 38^0 = \dfrac{mv^2}{l} + F......(2)
dividing equation (2) by (1)
[tex]tan 38^0 = \dfrac{\dfrac{mv^2}{l} + F}{mg}[/tex]
[tex]tan 38^0 = \dfrac{\dfrac{580\times 40^2}{20} + F}{580 \times 9.81}[/tex]
[tex]4445.36 = \dfrac{580\times 40^2}{20} + F[/tex]
F = -46400 + 4445.36
F = -41,954 N
hence, the force is acting in the opposite direction as assumed.
F = 41,954 N
