Answer:
The tension T in each of the cables, T = 98 N
Explanation:
Given,
The mass of the loudspeaker, m = 20.0 Kg
The suspended distance of the loudspeaker, d = 2.20 m
The length of each cable, l = 2.9 m
The tension experienced by the cable is given by the formula,
T = mg + ma newton
Where,
g - acceleration due to gravity
a-acceleration produced by the stretched cable
Since the stretched cable and loudspeaker is not moving, then the tension force acting on the cable is equal to the force of gravity.
T = mg newton
Substituting the values in the above equation
T = 20
= 20.0 Kg x 9.8 m/s²
= 196 N
This force is equally supported by the two cables, then the tension in each cable is
T = 196 N / 2
= 98 N
Hence, the tension T in each of the cables, T = 98 N
