How much tension must a rope withstand if it is used to accelerate a 6526 kg car vertically upwards at 8.9 m/s^2?

The value is

Explanation:

From the question we are told that

     The mass of the car is  

      The acceleration  is  

Generally the net force applied on the rope is mathematically represented as

Here W is the weight of the car which is evaluated as

=>      

=>      

Generally the net force can also be mathematically represented as

So

=>    

=>      

the force on the thing and the distance the force moves the thing