Explanation:
Tension on the string is total weight of the system
Mass of child = 45 kg
Mass of tire swing = 3.2 kg
Total mass, m = 45 + 3.2 = 48.2 kg
We know that weight is the product of mass and acceleration due to gravity.
Weight = Mass x Acceleration due to gravity
W = mg
W = 48.2 x 9.81 = 472.84 N
Tension in the rope = 472.84 N
The tension of the rope is 472.36 N
The parameters given in the question is
mass of the child= 45 kg
mass of the tire swing attached to the tree= 3.2 kg
The first step is to calculate the total mass. The total mass can be calculated as follows;
mass of the child + mass of the tire swing
= 45 + 3.2
= 48.2 kg
The tension can be calculated as follows
= mass × acceleration
= 48.2 × 9.8
= 472.36
Hence the tension is 472.36 N
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