Question

how much tension must a cable withstand if it is used to accelerate a 1200-kg car vertically upward at 0.70 m/s2 ?

Answer 1

HERE IS YOUR ANSWER

mass × acceleration = tension - mass × gravity

1200 × 0.7 = T - 1200 × 10

840 = T - 12000

T = 12840 Newtons

THEREFORE the cable should withstand 12840 N

HOPE MY ANSWER IS CORRECT

Answer 2

Answer:

Tension, T = 12600 N

Explanation:

Given that,

Mass of the car, m = 1200 kg

Acceleration of the car vertically upwards, $a=0.7\ m/s^2$

As the car is moving vertically upwards. So,

T - mg = ma

T = m(a+g)

$T=1200\times (0.7+9.8)$

T = 12600 N

So, the tension in the cable is 12600 N. Hence, this is the required solution.