Question

A 25 kg lift is supported by a cable. The acceleration of the lift when the tension in the cable is 175 N, will be -

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A 25 kg lift is supported by a cable. The acceleration of the lift when the tension in the cable is 175 N, will be -

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Mass of cable (m) = 25 kg
• Tension in cable (T) = 175 N

$\large\underline{\underline{\sf To\:Find:}}$

• Acceleration of the lift (a)

$\large{\boxed{\bf \blue{T-mg=ma}}}$

$\implies{\sf 175-250=25×a}$

$\implies{\sf −75=25a}$

$\implies{\sf a = \dfrac{-75}{25} }$

$\implies{\bf \red{a=-3m/s^2}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Acceleration of the lift is ${\bf \red{-3m/s^2}}$.

Answer 2

Answer:

T=mg+ma(Assuming the lift is moving up)

T=m(g+a)

175=25(10+a)

7=10+a

a=7-10

 =-3m/s