2 Answers

Arimaulana · Answer 1 · 2022-06-11T07:57:27+0000

Step-by-step explanation:

The net force along the horizontal direction is

$\sum{F_x} = F_(applied) - f$

where f is the frictional force. We can find the frictional force by looking at the vertical forces acting on the couch:

$\sum{F_y} = N - mg = 0 \Rightarrow N = mg$

From the definition of frictional force,

$f = \mu{N} = \mu{mg} = (0.65)(42\:\text{kg})(9.8\:\text{m/s}^2)$

$\:\:\:\:= 267.5\:\text{N}$

Therefore, the net force on the couch is

$\sum{F_x} = 600\:\text{N} - 267.5\:\text{kN} = 332.5\:\text{N}$

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