The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is

Question

The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is (A) 4 ms-2 upwards (B) 4 ms-2 downwards (C) 14 ms-2 upwards (D) 30 ms-2 downwards

Tardigrade Admin · Accepted Answer

The gravitational force in downward direction is 20000 N and the tension force in upward direction is 28000 N. By newton's second law of motion Sigma F = ma ⇒ T - mg = ma a =( T - mg / m )=4 m / s 2

Q. The mass of a lift is $2000 k g .$ When the tension in the supporting cable is $28000 N,$ then its acceleration is

$4 m s^{- 2}$ upwards

$4 m s^{- 2}$ downwards

$14 m s^{- 2}$ upwards

$30 m s^{- 2}$ downwards

The gravitational force in downward direction is $20000 N$ and the tension force in upward direction is $28000 N$ .
By newton's second law of motion
$Σ F = ma$
$\Rightarrow T - m g = ma$
$a = \frac{T - m g}{m} = 4 m / s^{2}$

Q. The mass of a lift is 2000kg. When the tension in the supporting cable is 28000N, then its acceleration is

4ms−2 upwards

4ms−2 downwards

14ms−2 upwards

30ms−2 downwards