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Answer :
To determine the normal force acting on the couch, we start by recognizing that for an object at rest on a horizontal surface, the normal force equals the weight of the object.
The weight is calculated using the formula:
[tex]$$
N = m \times g,
$$[/tex]
where
- [tex]$m$[/tex] is the mass of the couch, and
- [tex]$g$[/tex] is the acceleration due to gravity.
Given:
- [tex]$m = 124 \, \text{kg}$[/tex]
- [tex]$g = 9.8 \, \text{m/s}^2$[/tex]
Substitute these values into the formula:
[tex]$$
N = 124 \, \text{kg} \times 9.8 \, \text{m/s}^2.
$$[/tex]
Performing the multiplication, we obtain:
[tex]$$
N = 1215.2 \, \text{N}.
$$[/tex]
Thus, the magnitude of the normal force acting on the couch is [tex]$1215.2 \, \text{N}$[/tex].
The weight is calculated using the formula:
[tex]$$
N = m \times g,
$$[/tex]
where
- [tex]$m$[/tex] is the mass of the couch, and
- [tex]$g$[/tex] is the acceleration due to gravity.
Given:
- [tex]$m = 124 \, \text{kg}$[/tex]
- [tex]$g = 9.8 \, \text{m/s}^2$[/tex]
Substitute these values into the formula:
[tex]$$
N = 124 \, \text{kg} \times 9.8 \, \text{m/s}^2.
$$[/tex]
Performing the multiplication, we obtain:
[tex]$$
N = 1215.2 \, \text{N}.
$$[/tex]
Thus, the magnitude of the normal force acting on the couch is [tex]$1215.2 \, \text{N}$[/tex].
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