Answer:
T = 2490 newton
Step-by-step explanation:
Given that,
Mass of a person, m = 50 Kg
Speed of the swing at the lowest point, v = 10 m/s
Length of the rope, r = 2.5 m
Tension formula is given by
T = mg + ma N
where, T - Tension in the string
m - mass of the body
g - acceleration due to gravity
a - acceleration of the body
Since the person is swinging, the acceleration of the body is given by
a = v²/r m/s²
= 10/2.5 m/s²
a = 40 m/s²
Substituting in T
T = 50 Kg x 9.8 m/s² + 50 Kg X 40 m/s²
= 490 + 2000 Kg m/s²
T = 2490 newton
Therefore the tension in the rope is 2490 newton