Question

A rope attached to a load of 175 kg bricks Ilifts the bricks with a steady acceleration of 0.12.m/s^2 straight up. What is the tension in the rope? (a)2028N (b)1645 N (c) 1894 N (d) 1976 N (e) 1736 N (f) 1792 N

Answer 1

The tension in the rope is 1736 N.

(e) is correct option.

Step-by-step explanation:

Given that,

Mass of bricks = 175 kg

Acceleration = 0.12 m/s²

Let T is the tension in the rope.

A rope attached to a load of 175 kg bricks lifts the bricks with a steady acceleration of 0.12.m/s^2 in vertically upward direction.

Using equation of balance

`T-mg=ma`

`T=mg+ma`

`T=175(9.8+0.12)`

`T= 1736\ N`

Hence, The tension in the rope is 1736 N.

Answer 2

Tension, T = 1736 N

Step-by-step explanation:

It is given that,

Mass of bricks, m = 175 kg

A rope is attached to a load of 175 kg bricks lifts the bricks with a steady acceleration of 0.12 m/s² in vertically upwards direction. let T is the tension in the rope. Using second equation of motion as :

T - mg = ma

T = ma + mg

T = m(a + g)

T = 175 kg ( 0.12 m/s² + 9.8 m/s² )

T = 1736 N

Hence, the tension in the wire is 1736 N.