Answer:
The value is [tex]T = 122036.2 \ N[/tex]
Explanation:
From the question we are told that
The mass of the car is [tex]m = 6526 \ kg[/tex]
The acceleration is [tex]a= 8.9 \ m/s^2[/tex]
Generally the net force applied on the rope is mathematically represented as
[tex]F_{net} = T - W[/tex]
Here W is the weight of the car which is evaluated as
[tex]W = m * g[/tex]
=> [tex]W = 6526 * 9.8[/tex]
=> [tex]W = 63954.8 \ N[/tex]
Generally the net force can also be mathematically represented as
[tex]F = m * a[/tex]
So
[tex]m * a = T - 63954.8[/tex]
=> [tex]6526 * 8.9 = T - 63954.8[/tex]
=> [tex]T = 122036.2 \ N[/tex]
