Answer:
Mass of the rope = 2.8 kg
Step-by-step explanation:
The speed of waves travelling through a rope with linear density (μ) and under tension T is given as v = √(T/μ)
The speed of waves in the rope is also calculated as
v = (d/t)
d = L = length of the rope = 15 m
t = time taken for the wave to move through the rope = 0.545 s
Speed = v = (15/0.545) = 27.523 m/s
Speed = v = √(T/μ)
T = tension in the rope = 140 N
μ = linear density = ?
27.523 = √(140/μ)
27.523² = (140/μ)
(140/μ) = 757.512
μ = (140/757.512) = 0.1848155556 = 0.1848 kg/m
Linear density = μ = (m/L)
m = mass of the rope = ?
L = length of the rope = 15 m
0.1848 = (m/15)
m = 0.1848 × 15 = 2.77 kg = 2.8 kg to 1 d.p.
Hope this Helps!!!