Physics, asked by shaheer1726, 8 months ago

A box of mass 8.0 kg rests on a horizontal, rough surface. A string attached to the box passes over a smooth pulley and supports a 2.0kg mass at its other end. When the box is released, a friction force of 6.0N acts on it. What is the acceleration of the box?

Answers

Answered by CalvinL
1

Answer: 1.4ms-2

Explanation: In picture using F=m.a

Answered by RitaNarine
0

The acceleration of the box is 1.36 m/s²

Given :

In a box of mass ( m2) = 8kg, a string attached to the box passes over a smooth pulley and supports a mass (m1) 2.0kg at its other end.

Friction force = 6N

To find :

The acceleration of the box

Solution :

For m1,

m₁g - T = m₁a

 2g - T = 2a  {equation 1}

For m2,

T - 6 = m₂a

T - 6 = 8a  {equation 2}

by adding equations 1 and 2 we get

2g - T + T - 6 = 2a + 8a

           2(g-3) = 10a

               g-3 = 5a

          9.8 - 3 = 5a  { g = 9.8 m/s² }

                   a = 1.36 m/s²

Therefore, the acceleration of the box is 1.36 m/s²

#SPJ3

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