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

The value is
`T = 122036.2 \ N`

Step-by-step 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`