Question

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?

Answer 1

Answer:

The value is $T = 122036.2 \ N$

Explanation:

From the question we are told that

     The mass of the car is  $m = 6526 \ kg$

      The acceleration  is  $a= 8.9 \ m/s^2$

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

          $F_{net} = T - W$

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

         $W = m * g$

=>      $W = 6526 * 9.8$

=>       $W = 63954.8 \ N$

Generally the net force can also be mathematically represented as

       $F = m * a$

So

        $m * a = T - 63954.8$

=>     $6526 * 8.9 = T - 63954.8$

=>      $T = 122036.2 \ N$