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?

Question

asked Oct 25, 2021 177k views

1 Answer

Eatcrayons · Answer 1 · 2021-10-31T05:36:10+0000

Answer:

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

=>
$T = 122036.2 \ N$