Answer: 121.10N
Explanation:
Velocity= square root of (tension/mass per length)
The velocity can be found by the total length over the total time (v=x/t). There were 4 trips there and back. That is, 8 total lengths (4 one way 4 the other) of the rope.
8 trips × 6.16m= 49.28m in total.
The total time is given as 0.921secs
So, 49.28/0.921= 53.507m/s.
Mass per length is given as:
0.261/6.16= 0.0423kg/m
Make tension the subject of the formula.
Tension= (mass per length) × (velocity^2)
Tension= (0.0423kg/m) × (53.507m/s)^2
Tension= 121.10N
Therefore, the tension of the cord is 121.10N
